13007102328963072
13,007,102,328,963,072 is an even composite number composed of five prime numbers multiplied together.
What does the number 13007102328963072 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1760 divisors.
13007102328963072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty divisors.
Prime factorization of 13007102328963072:
221 × 34 × 11 × 413 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 41 × 41 × 41 × 101)See below for interesting mathematical facts about the number 13007102328963072 from the Numbermatics database.
Names of 13007102328963072
- Cardinal: 13007102328963072 can be written as Thirteen quadrillion, seven trillion, one hundred two billion, three hundred twenty-eight million, nine hundred sixty-three thousand and seventy-two.
Scientific notation
- Scientific notation: 1.3007102328963072 × 1016
Factors of 13007102328963072
Divisors of 13007102328963072
- Number of divisors d(n): 1760
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 41 44 48 54 64 66 72 81 82 88 96 99 101 108 123 128 132 144 162 164 176 192 198 202 216 246 256 264 288 297 303 324 328 352 369 384 396 404 432 451 492 512 528 576 594 606 648 656 704 738 768 792 808 864 891 902 909 984 1024 1056 1107 1111 1152 1188 1212 1296 1312 1353 1408 1476 1536 1584 1616 1681 1728 1782 1804 1818 1968 2048 2112 2214 2222 2304 2376 2424 2592 2624 2706 2727 2816 2952 3072 3168 3232 3321 3333 3362 3456 3564 3608 3636 3936 4059 4096 4141 4224 4428 4444 4608 4752 4848 5043 5184 5248 5412 5454 5632 5904 6144 6336 6464 6642 6666 6724 6912 7128 7216 7272 7872 8118 8181 8192 8282 8448 8856 8888 9216 9504 9696 9999 10086 10368 10496 10824 10908 11264 11808 12177 12288 12423 12672 12928 13284 13332 13448 13824 14256 14432 14544 15129 15744 16236 16362 16384 16564 16896 17712 17776 18432 18491 19008 19392 19998 20172 20736 20992 21648 21816 22528 23616 24354 24576 24846 25344 25856 26568 26664 26896 27648 28512 28864 29088 29997 30258 31488 32472 32724 32768 33128 33792 35424 35552 36531 36864 36982 37269 38016 38784 39996 40344 41472 41984 43296 43632 45056 45387 45551 47232 48708 49152 49692 50688 51712 53136 53328 53792 55296 55473 57024 57728 58176 59994 60516 62976 64944 65448 65536 66256 67584 68921 70848 71104 73062 73728 73964 74538 76032 77568 79992 80688 82944 83968 86592 87264 89991 90112 90774 91102 94464 97416 98304 99384 101376 103424 106272 106656 107584 110592 110946 111807 114048 115456 116352 119988 121032 125952 129888 130896 131072 132512 135168 136161 136653 137842 141696 142208 146124 147456 147928 149076 152064 155136 159984 161376 165888 166419 167936 169781 173184 174528 179982 180224 181548 182204 188928 194832 196608 198768 202752 206763 206848 212544 213312 215168 221184 221892 223614 228096 230912 232704 239976 242064 251904 259776 261792 262144 265024 270336 272322 273306 275684 283392 284416 292248 294912 295856 298152 304128 310272 319968 322752 331776 332838 335421 335872 339562 346368 349056 359964 360448 363096 364408 377856 389664 393216 397536 405504 409959 413526 413696 425088 426624 430336 442368 443784 447228 456192 461824 465408 479952 484128 499257 503808 509343 519552 523584 524288 530048 540672 544644 546612 551368 566784 568832 584496 589824 591712 596304 608256 620289 620544 639936 645504 663552 665676 670842 671744 679124 692736 698112 719928 720896 726192 728816 755712 758131 779328 786432 795072 811008 819918 827052 827392 850176 853248 860672 884736 887568 894456 912384 923648 930816 959904 968256 998514 1007616 1018686 1039104 1047168 1048576 1060096 1081344 1089288 1093224 1102736 1133568 1137664 1168992 1179648 1183424 1192608 1216512 1229877 1240578 1241088 1279872 1291008 1327104 1331352 1341684 1343488 1358248 1385472 1396224 1439856 1441792 1452384 1457632 1497771 1511424 1516262 1528029 1558656 1572864 1590144 1622016 1639836 1654104 1654784 1700352 1706496 1721344 1769472 1775136 1788912 1824768 1847296 1860867 1861632 1867591 1919808 1936512 1997028 2015232 2037372 2078208 2094336 2097152 2120192 2162688 2178576 2186448 2205472 2267136 2274393 2275328 2337984 2359296 2366848 2385216 2433024 2459754 2481156 2482176 2559744 2582016 2654208 2662704 2683368 2686976 2716496 2770944 2792448 2879712 2883584 2904768 2915264 2995542 3022848 3032524 3056058 3117312 3145728 3180288 3244032 3279672 3308208 3309568 3400704 3412992 3442688 3538944 3550272 3577824 3649536 3689631 3694592 3721734 3723264 3735182 3839616 3873024 3994056 4030464 4074744 4156416 4188672 4240384 4325376 4357152 4372896 4410944 4534272 4548786 4550656 4584087 4675968 4718592 4733696 4770432 4866048 4919508 4962312 4964352 5119488 5164032 5308416 5325408 5366736 5373952 5432992 5541888 5582601 5584896 5602773 5759424 5767168 5809536 5830528 5991084 6045696 6065048 6112116 6234624 6291456 6360576 6488064 6559344 6616416 6619136 6801408 6823179 6825984 6885376 6961021 7077888 7100544 7155648 7299072 7379262 7389184 7443468 7446528 7470364 7679232 7746048 7988112 8060928 8149488 8312832 8377344 8480768 8650752 8714304 8745792 8821888 9068544 9097572 9101312 9168174 9351936 9437184 9467392 9540864 9732096 9839016 9924624 9928704 10238976 10328064 10616832 10650816 10733472 10747904 10865984 11083776 11165202 11169792 11205546 11518848 11534336 11619072 11661056 11982168 12091392 12130096 12224232 12469248 12721152 12976128 13118688 13232832 13238272 13602816 13646358 13651968 13752261 13770752 13922042 14155776 14201088 14311296 14598144 14758524 14778368 14886936 14893056 14940728 15358464 15492096 15976224 16121856 16298976 16625664 16754688 16808319 16961536 17301504 17428608 17491584 17643776 18137088 18195144 18202624 18336348 18703872 18874368 18934784 19081728 19464192 19678032 19849248 19857408 20469537 20477952 20656128 20883063 21233664 21301632 21466944 21495808 21731968 22167552 22330404 22339584 22411092 23037696 23068672 23238144 23322112 23964336 24182784 24260192 24448464 24938496 25442304 25952256 26237376 26465664 26476544 27205632 27292716 27303936 27504522 27541504 27844084 28311552 28402176 28622592 29196288 29517048 29556736 29773872 29786112 29881456 30716928 30984192 31952448 32243712 32597952 33251328 33509376 33616638 33923072 34603008 34857216 34983168 35287552 36274176 36390288 36405248 36672696 37407744 37869568 38163456 38928384 39356064 39698496 39714816 40939074 40955904 41312256 41766126 42467328 42603264 42933888 42991616 43463936 44335104 44660808 44679168 44822184 46075392 46476288 46644224 47928672 48365568 48520384 48896928 49876992 50424957 50884608 51904512 52474752 52931328 52953088 54411264 54585432 54607872 55009044 55083008 55688168 56623104 56804352 57245184 58392576 59034096 59113472 59547744 59572224 59762912 61408611 61433856 61968384 62649189 63904896 64487424 65195904 66502656 67018752 67233276 67846144 69206016 69714432 69966336 70575104 72548352 72780576 72810496 73345392 74815488 75739136 76326912 76571231 77856768 78712128 79396992 79429632 81878148 81911808 82624512 83532252 84934656 85206528 85867776 85983232 86927872 88670208 89321616 89358336 89644368 92150784 92952576 93288448 95857344 96731136 97040768 97793856 99753984 100849914 101769216 103809024 104949504 105862656 105906176 108822528 109170864 109215744 110018088 110166016 111376336 113608704 114490368 116785152 118068192 118226944 119095488 119144448 119525824 122817222 122867712 123936768 125298378 127809792 128974848 130391808 133005312 134037504 134466552 135692288 139428864 139932672 141150208 145096704 145561152 145620992 146690784 149630976 151274871 151478272 152653824 153142462 155713536 157424256 158793984 158859264 163756296 163823616 165249024 167064504 169869312 170413056 171735552 173855744 177340416 178643232 178716672 179288736 184301568 185905152 186576896 187947567 191714688 193462272 194081536 195587712 199507968 201699828 203538432 207618048 209899008 211725312 211812352 217645056 218341728 218431488 220036176 220332032 222752672 227217408 228980736 229713693 233570304 236136384 236453888 238190976 238288896 239051648 245634444 245735424 247873536 250596756 255619584 257949696 260783616 266010624 268075008 268933104 271384576 278857728 279865344 282300416 290193408 291122304 291241984 293381568 299261952 302549742 302956544 305307648 306284924 311427072 314848512 317587968 317718528 327512592 327647232 330498048 334129008 340826112 343471104 347711488 354680832 357286464 357433344 358577472 368603136 371810304 373153792 375895134 383429376 386924544 388163072 391175424 399015936 403399656 407076864 419798016 423450624 435290112 436683456 436862976 440072352 440664064 445505344 454434816 457961472 459427386 467140608 472272768 472907776 476381952 476577792 478103296 491268888 491470848 495747072 501193512 511239168 521567232 532021248 536150016 537866208 542769152 557715456 559730688 563842701 564600832 580386816 582244608 582483968 586763136 598523904 605099484 605913088 610615296 612569848 622854144 629697024 635175936 635437056 655025184 655294464 660996096 668258016 681652224 686942208 689141079 695422976 709361664 714572928 714866688 717154944 737206272 743620608 746307584 751790268 766858752 773849088 776326144 782350848 798031872 806799312 814153728 839596032 846901248 870580224 873366912 873725952 880144704 881328128 891010688 908869632 915922944 918854772 934281216 944545536 945815552 952763904 953155584 956206592 982537776 982941696 991494144 1002387024 1022478336 1043134464 1064042496 1072300032 1075732416 1085538304 1115430912 1119461376 1127685402 1129201664 1160773632 1164489216 1164967936 1173526272 1197047808 1210198968 1211826176 1221230592 1225139696 1259394048 1270351872 1310050368 1310588928 1321992192 1336516032 1363304448 1373884416 1378282158 1390845952 1418723328 1429145856 1429733376 1434309888 1474412544 1487241216 1492615168 1503580536 1533717504 1552652288 1564701696 1596063744 1613598624 1628307456 1679192064 1693802496 1741160448 1746733824 1747451904 1760289408 1762656256 1782021376 1817739264 1831845888 1837709544 1868562432 1889091072 1905527808 1906311168 1912413184 1965075552 1965883392 1982988288 2004774048 2044956672 2067423237 2086268928 2128084992 2144600064 2151464832 2171076608 2230861824 2238922752 2255370804 2258403328 2321547264 2328978432 2329935872 2347052544 2394095616 2420397936 2423652352 2442461184 2450279392 2518788096 2540703744 2620100736 2621177856 2643984384 2673032064 2726608896 2747768832 2756564316 2781691904 2837446656 2858291712 2859466752 2868619776 2948825088 2974482432 2985230336 3007161072 3067435008 3105304576 3129403392 3192127488 3227197248 3256614912 3358384128 3387604992 3482320896 3493467648 3494903808 3520578816 3525312512 3564042752 3635478528 3663691776 3675419088 3778182144 3811055616 3824826368 3930151104 3931766784 3965976576 4009548096 4089913344 4134846474 4172537856 4256169984 4289200128 4302929664 4342153216 4461723648 4477845504 4510741608 4516806656 4657956864 4694105088 4788191232 4840795872 4847304704 4884922368 4900558784 5037576192 5081407488 5240201472 5242355712 5287968768 5346064128 5453217792 5495537664 5513128632 5563383808 5716583424 5718933504 5737239552 5897650176 5948964864 5970460672 6014322144 6134870016 6202269711 6210609152 6258806784 6384254976 6454394496 6513229824 6716768256 6775209984 6964641792 6986935296 6989807616 7041157632 7128085504 7270957056 7327383552 7350838176 7556364288 7622111232 7649652736 7860302208 7863533568 7931953152 8019096192 8179826688 8269692948 8345075712 8512339968 8578400256 8605859328 8684306432 8923447296 8955691008 9021483216 9033613312 9315913728 9388210176 9576382464 9681591744 9694609408 9769844736 9801117568 10075152384 10162814976 10480402944 10484711424 10575937536 10692128256 10906435584 10991075328 11026257264 11126767616 11433166848 11474479104 11795300352 11897929728 11940921344 12028644288 12269740032 12404539422 12421218304 12517613568 12768509952 12908788992 13026459648 13433536512 13550419968 13973870592 14082315264 14256171008 14541914112 14654767104 14701676352 15112728576 15244222464 15299305472 15720604416 15727067136 15863906304 16038192384 16359653376 16539385896 16690151424 17156800512 17211718656 17846894592 17911382016 18042966432 18067226624 18631827456 18776420352 19152764928 19363183488 19389218816 19539689472 19602235136 20150304768 20325629952 20960805888 20969422848 21384256512 21812871168 21982150656 22052514528 22253535232 22866333696 22948958208 23590600704 23795859456 23881842688 24057288576 24539480064 24809078844 24842436608 25035227136 25537019904 25817577984 26052919296 26867073024 27100839936 27947741184 28164630528 28512342016 29083828224 29309534208 29403352704 30225457152 30488444928 30598610944 31441208832 31454134272 31727812608 32076384768 32719306752 33078771792 33380302848 34423437312 35693789184 35822764032 36085932864 36134453248 37263654912 37552840704 38305529856 38726366976 38778437632 39079378944 39204470272 40300609536 40651259904 41921611776 42768513024 43625742336 43964301312 44105029056 44507070464 45732667392 45897916416 47181201408 47591718912 47763685376 48114577152 49078960128 49618157688 49684873216 50070454272 51635155968 53734146048 54201679872 55895482368 56329261056 57024684032 58167656448 58619068416 58806705408 60450914304 60976889856 61197221888 62882417664 62908268544 64152769536 65438613504 66157543584 66760605696 68846874624 71387578368 71645528064 72171865728 72268906496 74527309824 75105681408 76611059712 77452733952 78158757888 78408940544 80601219072 81302519808 83843223552 85537026048 87251484672 87928602624 88210058112 89014140928 91465334784 91795832832 94362402816 95183437824 95527370752 96229154304 98157920256 99236315376 99369746432 100140908544 103270311936 107468292096 108403359744 111790964736 112658522112 114049368064 116335312896 117238136832 117613410816 120901828608 121953779712 122394443776 125764835328 128305539072 130877227008 132315087168 133521211392 137693749248 142775156736 143291056128 144343731456 144537812992 149054619648 150211362816 154905467904 156817881088 161202438144 162605039616 167686447104 171074052096 174502969344 175857205248 176420116224 178028281856 182930669568 183591665664 188724805632 192458308608 196315840512 198472630752 198739492864 200281817088 206540623872 214936584192 216806719488 223581929472 225317044224 228098736128 234476273664 235226821632 241803657216 243907559424 244788887552 251529670656 256611078144 261754454016 264630174336 267042422784 275387498496 285550313472 286582112256 288687462912 298109239296 300422725632 309810935808 313635762176 322404876288 325210079232 335372894208 342148104192 349005938688 351714410496 352840232448 356056563712 365861339136 367183331328 384916617216 392631681024 396945261504 397478985728 400563634176 413081247744 429873168384 433613438976 447163858944 450634088448 456197472256 470453643264 483607314432 487815118848 489577775104 503059341312 513222156288 523508908032 529260348672 534084845568 550774996992 577374925824 596218478592 600845451264 619621871616 627271524352 644809752576 650420158464 670745788416 684296208384 703428820992 705680464896 731722678272 734366662656 769833234432 785263362048 793890523008 794957971456 801127268352 826162495488 859746336768 894327717888 901268176896 912394944512 940907286528 967214628864 975630237696 979155550208 1006118682624 1026444312576 1047017816064 1058520697344 1068169691136 1101549993984 1154749851648 1192436957184 1201690902528 1239243743232 1254543048704 1289619505152 1300840316928 1341491576832 1368592416768 1411360929792 1463445356544 1468733325312 1539666468864 1570526724096 1587781046016 1589915942912 1602254536704 1652324990976 1788655435776 1802536353792 1824789889024 1881814573056 1934429257728 1951260475392 1958311100416 2012237365248 2052888625152 2117041394688 2203099987968 2309499703296 2384873914368 2403381805056 2478487486464 2509086097408 2579239010304 2682983153664 2737184833536 2822721859584 2926890713088 2937466650624 3079332937728 3141053448192 3175562092032 3204509073408 3304649981952 3577310871552 3605072707584 3649579778048 3763629146112 3868858515456 3902520950784 3916622200832 4024474730496 4105777250304 4234082789376 4406199975936 4618999406592 4769747828736 4806763610112 4956974972928 5018172194816 5365966307328 5474369667072 5645443719168 5853781426176 5874933301248 6158665875456 6351124184064 6609299963904 7154621743104 7210145415168 7299159556096 7527258292224 7737717030912 8048949460992 8211554500608 8468165578752 8812399951872 9237998813184 9613527220224 9913949945856 10036344389632 10731932614656 10948739334144 11290887438336 11707562852352 11749866602496 12317331750912 12702248368128 13218599927808 14309243486208 14420290830336 14598319112192 15054516584448 16097898921984 16423109001216 16936331157504 17624799903744 18475997626368 19827899891712 20072688779264 21463865229312 21897478668288 22581774876672 24634663501824 25404496736256 26437199855616 28840581660672 30109033168896 32195797843968 32846218002432 33872662315008 35249599807488 36951995252736 39655799783424 40145377558528 42927730458624 43794957336576 45163549753344 49269327003648 50808993472512 52874399711232 60218066337792 64391595687936 65692436004864 67745324630016 73903990505472 79311599566848 80290755117056 90327099506688 98538654007296 101617986945024 105748799422464 120436132675584 128783191375872 131384872009728 135490649260032 147807981010944 158623199133696 160581510234112 180654199013376 197077308014592 203235973890048 240872265351168 270981298520064 295615962021888 317246398267392 361308398026752 394154616029184 406471947780096 481744530702336 541962597040128 591231924043776 722616796053504 812943895560192 1083925194080256 1182463848087552 1445233592107008 1625887791120384 2167850388160512 3251775582240768 4335700776321024 6503551164481536 13007102328963072
- Sum of all divisors σ(n): 43883561931013728
- Sum of proper divisors (its aliquot sum) s(n): 30876459602050656
- 13007102328963072 is an abundant number, because the sum of its proper divisors (30876459602050656) is greater than itself. Its abundance is 17869357273087584
Bases of 13007102328963072
- Binary: 1011100011010111100100000000011110000000000000000000002
- Hexadecimal: 0x2E35E401E00000
- Base-36: 3K2MSBH8G00
Squares and roots of 13007102328963072
- 13007102328963072 squared (130071023289630722) is 169184710996116571691390739677184
- 13007102328963072 cubed (130071023289630723) is 2200602848422532116594919366544713037326736949248
-
The
square root of 13007102328963072 is 114048684.0299486841 -
The
cube root of 13007102328963072 is 235176.2813672865
Scales and comparisons
How big is 13007102328963072?- 13,007,102,328,963,072 seconds is equal to 413,585,620 years, 23 weeks, 3 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 13,007,102,328,963,072 would take you about one billion, two hundred forty million, seven hundred fifty-six thousand, eight hundred sixty-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 13007102328963072 cubic inches would be around 19598 feet tall.
Recreational maths with 13007102328963072
- 13007102328963072 backwards is 27036982320170031
- 13007102328963072 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13007102328963072's digits is 54
- 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 13007102328963072 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 13007102328963072 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/13007102328963072/
Chicago style:
Numbermatics. 2024. "Number 13007102328963072 - Facts about the integer". https://numbermatics.com/n/13007102328963072/
The information we have on file for 13007102328963072 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 13007102328963072, math, Factors of 13007102328963072, curriculum, school, college, exams, university, Prime factorization of 13007102328963072, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, seven trillion, one hundred two billion, three hundred twenty-eight million, nine hundred sixty-three thousand and seventy-two.