13157598729777216
13,157,598,729,777,216 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13157598729777216 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1792 divisors.
13157598729777216 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 13157598729777216:
26 × 3 × 11 × 133 × 17 × 19 × 631 × 13913
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 13 × 13 × 17 × 19 × 631 × 13913)See below for interesting mathematical facts about the number 13157598729777216 from the Numbermatics database.
Names of 13157598729777216
- Cardinal: 13157598729777216 can be written as Thirteen quadrillion, one hundred fifty-seven trillion, five hundred ninety-eight billion, seven hundred twenty-nine million, seven hundred seventy-seven thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.3157598729777216 × 1016
Factors of 13157598729777216
Divisors of 13157598729777216
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 17 19 22 24 26 32 33 34 38 39 44 48 51 52 57 64 66 68 76 78 88 96 102 104 114 132 136 143 152 156 169 176 187 192 204 208 209 221 228 247 264 272 286 304 312 323 338 352 374 408 416 418 429 442 456 494 507 528 544 561 572 608 624 627 631 646 663 676 704 741 748 816 832 836 858 884 912 969 988 1014 1056 1088 1122 1144 1216 1248 1254 1262 1292 1326 1352 1482 1496 1632 1672 1716 1768 1824 1859 1893 1938 1976 2028 2112 2197 2244 2288 2431 2496 2508 2524 2584 2652 2704 2717 2873 2964 2992 3211 3264 3344 3432 3536 3553 3648 3718 3786 3876 3952 4056 4199 4394 4488 4576 4862 5016 5048 5168 5304 5408 5434 5577 5746 5928 5984 6422 6591 6688 6864 6941 7072 7106 7293 7436 7572 7752 7904 8112 8151 8203 8398 8619 8788 8976 9152 9633 9724 10032 10096 10336 10608 10659 10727 10816 10868 11154 11492 11856 11968 11989 12597 12844 13182 13376 13728 13882 13913 14144 14212 14586 14872 15144 15504 15808 16224 16302 16406 16796 17238 17576 17952 19266 19448 20064 20192 20672 20823 21216 21318 21454 21736 22308 22984 23712 23978 24167 24609 25194 25688 26364 27456 27764 27826 28424 29172 29744 30288 31008 31603 32181 32448 32604 32812 33592 34476 35152 35321 35904 35967 37349 38532 38896 40128 40384 41646 41739 41743 42432 42636 42908 43472 44616 45968 46189 47424 47956 48334 49218 50388 51376 52728 54587 55528 55652 56848 58344 59488 60576 62016 63206 64362 65208 65624 67184 68952 70304 70642 71934 72501 74698 77064 77792 83292 83478 83486 85272 85816 86944 89232 90233 91936 92378 94809 95912 96668 98436 100776 102752 105456 105963 106639 109174 111056 111304 112047 113696 116688 117997 118976 121152 125229 126412 128724 130416 131248 131879 134368 137904 138567 139451 140608 141284 143868 145002 149396 153043 154128 155584 155857 163761 166584 166956 166972 170544 171632 173888 178464 180466 180869 183872 184756 189618 191824 193336 196872 201552 203813 205504 210912 211926 213278 218348 222112 222608 224094 227392 233376 235994 236521 250458 252824 257448 260832 262496 263758 264347 268736 270699 275808 277134 278902 282568 287736 290004 298792 306086 308256 311714 319917 327522 333168 333912 333944 341088 343264 353991 356928 360932 361738 369512 379236 383648 386672 393744 395637 403104 407626 410839 418353 421824 423852 426556 436696 444224 445216 448188 459129 459173 466752 467571 471988 473042 500916 505648 514896 521664 524992 527516 528694 541398 542607 551616 554268 557804 565136 575472 580008 597584 600457 611439 612172 616512 623428 639834 655044 666336 667824 667888 682176 686528 707982 709563 709631 721864 723476 739024 758472 767296 773344 787488 791274 793041 806208 815252 821678 836706 847704 853112 873392 890432 896376 918258 918346 935142 943976 946084 1001832 1011296 1029792 1055032 1057388 1082796 1085214 1108536 1115608 1130272 1150944 1160016 1173029 1195168 1200914 1222878 1224344 1232517 1246856 1279668 1310088 1332672 1335648 1335776 1377519 1386307 1415964 1419126 1419262 1443728 1446952 1478048 1516944 1533961 1546688 1574976 1582548 1586082 1630504 1643356 1673412 1695408 1706224 1714427 1746784 1792752 1801371 1812863 1836516 1836692 1870284 1887952 1892168 1989559 2003664 2022592 2026141 2059584 2110064 2114776 2128893 2165592 2170428 2217072 2231216 2241943 2260544 2301888 2320032 2346058 2351297 2390336 2401828 2445756 2448688 2465034 2493712 2559336 2601731 2620176 2649569 2671296 2671552 2755038 2772614 2831928 2838252 2838524 2887456 2893904 2907817 2956096 3033888 3067922 3074773 3165096 3172164 3261008 3286712 3346824 3390816 3412448 3428854 3436511 3493568 3519087 3585504 3602742 3625726 3673032 3673384 3740568 3775904 3784336 3979118 4007328 4052282 4158921 4220128 4229552 4257786 4331184 4340856 4434144 4462432 4483886 4493899 4601883 4640064 4692116 4702594 4803656 4891512 4897376 4930068 4987424 5118672 5143281 5203462 5240352 5299138 5438589 5510076 5545228 5663856 5676504 5677048 5774912 5787808 5815634 5968677 6067776 6078423 6135844 6149546 6330192 6344328 6522016 6573424 6693648 6725829 6781632 6824896 6857708 6873022 7038174 7053891 7171008 7205484 7251452 7346064 7346768 7481136 7551808 7568672 7805193 7805941 7948707 7958236 8014656 8104564 8317842 8440256 8459104 8515572 8662368 8681712 8723451 8779103 8868288 8924864 8967772 8987798 9203766 9224319 9384232 9405188 9607312 9783024 9794752 9860136 9974848 10237344 10286562 10309533 10406924 10480704 10598276 10877178 11020152 11090456 11327712 11353008 11354096 11575616 11631268 11937354 12156846 12271688 12299092 12660384 12688656 13044032 13146848 13387296 13451658 13481697 13715416 13746044 14076348 14107782 14410968 14502904 14692128 14693536 14962272 15137344 15249377 15610386 15611882 15897414 15916472 16209128 16635684 16918208 17031144 17324736 17363424 17446902 17558206 17935544 17975596 18407532 18448638 18768464 18810376 19214624 19566048 19720272 19941493 20474688 20573124 20619066 20813848 21196552 21754356 22040304 22180912 22287551 22655424 22706016 22708192 23262536 23417823 23567219 23874708 24313692 24543376 24598184 25320768 25377312 25864267 26293696 26337309 26339833 26774592 26903316 26963394 27430832 27492088 28152696 28215564 28821936 29005808 29145259 29384256 29387072 29924544 30498754 30566861 31220772 31223764 31794828 31832944 32418256 33271368 33822503 34062288 34444397 34726848 34893804 35116412 35871088 35951192 36815064 36897276 37536928 37620752 37801621 38429248 39132096 39440544 39882986 39972049 41146248 41238132 41627696 42393104 43508712 44080608 44361824 44575102 44674643 45412032 45416384 45748131 46525072 46835646 47134438 47749416 48627384 49086752 49196368 49432889 50754624 51728534 52674618 52679666 53806632 53926788 54861664 54984176 56305392 56431128 57643872 58011616 58290518 58420687 59824479 60997508 61133722 62441544 62447528 63589656 63665888 64836512 66542736 66862653 67645006 68124576 68888794 69787608 70232824 70701657 71742176 71902384 73630128 73794552 75073856 75241504 75603242 77592801 78881088 79019499 79765972 79944098 82292496 82476264 83255392 84786208 87017424 87435777 88161216 88723648 89150204 89349286 91496262 91700583 93050144 93671292 94268876 95498832 96570133 97254768 98173504 98392736 98865778 101467509 103333191 103457068 105349236 105359332 107613264 107853576 109723328 109968352 112610784 112862256 113404863 114128339 115287744 116023232 116581036 116841374 119648958 119916147 121995016 122267444 124883088 124895056 127179312 127331776 129673024 133085472 133725306 134023929 135290012 136249152 137777588 139575216 140465648 141403314 143484352 143804768 147260256 147589104 148298667 149244751 150483008 151206484 155185602 158038998 159531944 159888196 164584992 164952528 166510784 166802957 169572416 174034848 174871554 175262061 178300408 178698572 182992524 183401166 186100288 187342584 188537752 190997664 193140266 194509536 196785472 197731556 202935018 206666382 206914136 210698472 210718664 215226528 215707152 219936704 225221568 225724512 226809726 228256678 233162072 233682748 239297916 239832294 243990032 244534888 249766176 249790112 254358624 259239409 266170944 267450612 268047858 270580024 275555176 279150432 280931296 282806628 287609536 289710399 289738163 294520512 295178208 296597334 298489502 302412968 310371204 316077996 319063888 319776392 329169984 329905056 333605914 336235471 342385017 348069696 349743108 350524122 356600816 357397144 365985048 366802332 374685168 377075504 378888367 381995328 386280532 389019072 395463112 405870036 413332764 413828272 421396944 421437328 430453056 431414304 439692539 447734253 447777161 451449024 453619452 456513356 466324144 467365496 478595832 479664588 487980064 489069776 491421073 499532352 499580224 500408871 508717248 518478818 519636637 534901224 536095716 541160048 551110352 558300864 561862592 565613256 579420798 579476326 580770359 590356416 593194668 596979004 604825936 620742408 632155992 638127776 639552784 642627557 659810112 667211828 672470942 684770034 699486216 701048244 713201632 714794288 731970096 733604664 749370336 754151008 757776734 759468931 772561064 777718227 790926224 811740072 826665528 827656544 842793888 842874656 862828608 869214489 879385078 895468506 895554322 907238904 913026712 932648288 934730992 957191664 959329176 975960128 978139552 982842146 1000817742 1008706413 1036957636 1039273274 1069802448 1072191432 1082320096 1102220704 1131226512 1136665101 1158841596 1158952652 1161540718 1186389336 1193958008 1209651872 1241484816 1255411729 1264311984 1276255552 1279105568 1285255114 1319077617 1334423656 1343331483 1344941884 1369540068 1398972432 1402096488 1426403264 1429588576 1463940192 1467209328 1474263219 1483668407 1498740672 1508302016 1515553468 1518937862 1545122128 1555436454 1558909911 1581852448 1623480144 1641692261 1653331056 1655313088 1685587776 1685749312 1738428978 1742311077 1758770156 1790937012 1791108644 1814477808 1826053424 1834832527 1865296576 1869461984 1914383328 1918658352 1927882671 1940181763 1956279104 1965684292 2001635484 2017412826 2073915272 2078546548 2139604896 2144382864 2164640192 2168438441 2204441408 2262453024 2273330202 2278406793 2317683192 2317905304 2323081436 2372778672 2387916016 2419303744 2482969632 2510823458 2528623968 2558211136 2570510228 2638155234 2668847312 2686662966 2689883768 2739080136 2797944864 2804192976 2835650269 2859177152 2927880384 2934418656 2948526438 2967336814 3031106936 3037875724 3090244256 3110872908 3117819822 3163704896 3246960288 3283384522 3306662112 3476857956 3484622154 3517540312 3581874024 3582217288 3628955616 3652106848 3669665054 3738923968 3766235187 3828766656 3837316704 3855765342 3880363526 3931368584 4003270968 4034825652 4147830544 4157093096 4279209792 4288765728 4336876882 4451005221 4524906048 4546660404 4556813586 4635366384 4635810608 4646162872 4745557344 4775832032 4925076783 4925548771 4965939264 5021646916 5057247936 5141020456 5276310468 5337694624 5373325932 5379767536 5478160272 5504497581 5595889728 5608385952 5671300538 5716003007 5820545289 5868837312 5897052876 5934673628 6062213872 6075751448 6180488512 6221745816 6235639644 6388473949 6493920576 6505315323 6566769044 6613324224 6953715912 6969244308 7035080624 7163748048 7164434576 7257911232 7304213696 7339330108 7532470374 7674633408 7711530684 7760727052 7862737168 8006541936 8069651304 8295661088 8314186192 8354158241 8506950807 8577531456 8673753764 8902010442 9093320808 9113627172 9270732768 9271621216 9292325744 9491114688 9551664064 9850153566 9851097542 9873096103 10043293832 10282040912 10552620936 10675389248 10746651864 10759535072 10956320544 11008995162 11216771904 11342601076 11432006014 11641090578 11794105752 11869347256 12124427744 12151502896 12443491632 12471279288 12776947898 13010630646 13133538088 13907431824 13938488616 14070161248 14327496096 14328869152 14678660216 14776646313 15064940748 15423061368 15521454104 15725474336 16013083872 16139302608 16320352477 16591322176 16628372384 16708316482 17013901614 17148009021 17347507528 17804020884 18186641616 18227254344 18541465536 18543242432 18584651488 19165421847 19287689291 19700307132 19702195084 19746192206 20086587664 20564081824 21105241872 21341999393 21493303728 21519070144 21912641088 22017990324 22685202152 22864012028 23282181156 23588211504 23738694512 23852822851 24248855488 24303005792 24886983264 24942558576 25062474723 25222362919 25553895796 26021261292 26267076176 27814863648 27876977232 28140322496 28189699733 28654992192 28657738304 29357320432 29553292626 29619288309 30129881496 30846122736 31042908208 31192152959 31450948672 32026167744 32278605216 32640704954 33256744768 33416632964 34027803228 34296018042 34695015056 35608041768 36373283232 36454508688 36863453497 37169302976 38330843694 38575378582 39400614264 39404390168 39492384412 40173175328 41128163648 42210483744 42683998786 42986607456 44035980648 45370404304 45728024056 46564362312 47176423008 47477389024 47705645702 48606011584 48961057431 49773966528 49885117152 50124949446 50444725838 51107791592 52042522584 52534152352 55629727296 55753954464 56379399466 57863067873 58714640864 59106585252 59238576618 60259762992 61692245472 62085816416 62384305918 64025998179 64557210432 65281409908 66833265928 68055606456 68592036084 69390030112 71216083536 71558468553 72746566464 72909017376 73726906994 75667088757 76661687388 77150757164 78801228528 78808780336 78984768824 80346350656 84420967488 84569099199 85367997572 85973214912 88071961296 90740808608 91456048112 93128724624 93576458877 94352846016 94954778048 95411291404 97922114862 99770234304 100249898892 100889451676 102215583184 104085045168 105068304704 108604057133 110590360491 111507908928 112758798932 115726135746 117429281728 118213170504 118477153236 120519525984 123384490944 124171632832 124768611836 128051996358 130562819816 133666531856 136111212912 137184072168 138780060224 142432167072 143116937106 145818034752 147453813988 151334177514 153323374776 154301514328 157602457056 157617560672 157969537648 169138198398 170735995144 176143922592 181481617216 182912096224 186257449248 187152917754 190822582808 195844229724 200499797784 201778903352 204431166368 208170090336 212164582201 217208114266 221180720982 225517597864 231452271492 236426341008 236954306472 241039051968 249537223672 256103992716 261125639632 267333063712 272222425824 274368144336 277445992109 284864334144 286233874212 294907627976 302668355028 306646749552 308603028656 310086697063 315204914112 315235121344 315939075296 325812171399 327890717947 338276396796 341471990288 352287845184 365824192448 366466096529 372514898496 374305835508 381645165616 391688459448 400999595568 403557806704 405497988467 408862332736 416340180672 424329164402 434416228532 442361441964 451035195728 462904542984 472852682016 473908612944 479224895461 499074447344 512207985432 522251279264 534666127424 544444851648 548736288672 554891984218 572467748424 589815255952 605336710056 613293499104 617206057312 620173394126 631878150592 636493746603 651624342798 655781435894 676552793592 682943980576 732932193058 748611671016 763290331232 783376918896 801999191136 807115613408 810995976934 832337976327 848658328804 868832457064 884722883928 902070391456 925809085968 930260091189 945705364032 947817225888 958449790922 983672153841 998148894688 1024415970864 1044502558528 1097472577344 1099398289587 1109783968436 1144935496848 1179630511904 1210673420112 1216493965401 1226586998208 1234412114624 1240346788252 1272987493206 1303248685596 1311562871788 1353105587184 1365887961152 1437674686383 1465864386116 1497223342032 1526580662464 1566753837792 1603998382272 1614231226816 1621991953868 1664675952654 1697316657608 1737664914128 1769445767856 1804140782912 1851618171936 1860520182378 1895634451776 1916899581844 1967344307682 1996297789376 2048831941728 2198796579174 2219567936872 2289870993696 2359261023808 2421346840224 2432987930802 2480693576504 2545974986412 2606497371192 2623125743576 2706211174368 2875349372766 2931728772232 2994446684064 3133507675584 3243983907736 3329351905308 3394633315216 3475329828256 3538891535712 3606797897417 3703236343872 3721040364756 3833799163688 3934688615364 4031127061819 4097663883456 4397593158348 4439135873744 4579741987392 4842693680448 4865975861604 4961387153008 5091949972824 5212994742384 5246251487152 5271473850071 5412422348736 5750698745532 5863457544464 5988893368128 6229923640993 6487967815472 6658703810616 6789266630432 6950659656512 7077783071424 7213595794834 7442080729512 7667598327376 7869377230728 8062254123638 8795186316696 8878271747488 9731951723208 9922774306016 10183899945648 10425989484768 10492502974304 10542947700142 10820393692251 11501397491064 11726915088928 12093381185457 12459847281986 12975935630944 13317407621232 13578533260864 14427191589668 14884161459024 15335196654752 15738754461456 15814421550213 16124508247276 17590372633392 17756543494976 18689770922979 19463903446416 19845548612032 20367799891296 20851978969536 20985005948608 21085895400284 21640787384502 23002794982128 23453830177856 24186762370914 24919694563972 25951871261888 26634815242464 28854383179336 29768322918048 30670393309504 31477508922912 31628843100426 32249016494552 35180745266784 37379541845958 38927806892832 40735599782592 42171790800568 43281574769004 46005589964256 48373524741828 49839389127944 53269630484928 57708766358672 59536645836096 62955017845824 63257686200852 64498032989104 68529160050923 70361490533568 74759083691916 77855613785664 84343581601136 86563149538008 92011179928512 96747049483656 99678778255888 115417532717344 126515372401704 128996065978208 137058320101846 149518167383832 168687163202272 173126299076016 193494098967312 199357556511776 205587480152769 230835065434688 253030744803408 257992131956416 274116640203692 299036334767664 337374326404544 346252598152032 386988197934624 398715113023552 411174960305538 506061489606816 548233280407384 598072669535328 692505196304064 773976395869248 822349920611076 1012122979213632 1096466560814768 1196145339070656 1644699841222152 2192933121629536 3289399682444304 4385866243259072 6578799364888608 13157598729777216
- Sum of all divisors σ(n): 45929687808614400
- Sum of proper divisors (its aliquot sum) s(n): 32772089078837184
- 13157598729777216 is an abundant number, because the sum of its proper divisors (32772089078837184) is greater than itself. Its abundance is 19614490349059968
Bases of 13157598729777216
- Binary: 1011101011111011000100001011100110001010110000010000002
- Hexadecimal: 0x2EBEC42E62B040
- Base-36: 3LJZ9ESKSAO
Squares and roots of 13157598729777216
- 13157598729777216 squared (131575987297772162) is 173122404333835007949120992710656
- 13157598729777216 cubed (131575987297772163) is 2277875127358845094893785179895129671826829213696
-
The
square root of 13157598729777216 is 114706576.6631417521 -
The
cube root of 13157598729777216 is 236079.8275016045
Scales and comparisons
How big is 13157598729777216?- 13,157,598,729,777,216 seconds is equal to 418,370,940 years, 25 weeks, 9 hours, 13 minutes, 36 seconds.
-
To count from 1 to 13,157,598,729,777,216 would take you about one billion, two hundred fifty-five million, one hundred twelve thousand, eight hundred twenty-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13157598729777216 cubic inches would be around 19673.3 feet tall.
Recreational maths with 13157598729777216
- 13157598729777216 backwards is 61277792789575131
- The number of decimal digits it has is: 17
- The sum of 13157598729777216's digits is 87
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13157598729777216 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 13157598729777216 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/13157598729777216/
Chicago style:
Numbermatics. 2024. "Number 13157598729777216 - Facts about the integer". https://numbermatics.com/n/13157598729777216/
The information we have on file for 13157598729777216 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 13157598729777216, math, Factors of 13157598729777216, curriculum, school, college, exams, university, Prime factorization of 13157598729777216, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, one hundred fifty-seven trillion, five hundred ninety-eight billion, seven hundred twenty-nine million, seven hundred seventy-seven thousand, two hundred sixteen.