13137756291072
13,137,756,291,072 is an even composite number composed of five prime numbers multiplied together.
What does the number 13137756291072 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1596 divisors.
13137756291072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred ninety-six divisors.
Prime factorization of 13137756291072:
218 × 36 × 72 × 23 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 23 × 61)See below for interesting mathematical facts about the number 13137756291072 from the Numbermatics database.
Names of 13137756291072
- Cardinal: 13137756291072 can be written as Thirteen trillion, one hundred thirty-seven billion, seven hundred fifty-six million, two hundred ninety-one thousand and seventy-two.
Scientific notation
- Scientific notation: 1.3137756291072 × 1013
Factors of 13137756291072
Divisors of 13137756291072
- Number of divisors d(n): 1596
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 49 54 56 61 63 64 69 72 81 84 92 96 98 108 112 122 126 128 138 144 147 161 162 168 183 184 189 192 196 207 216 224 243 244 252 256 276 288 294 322 324 336 366 368 378 384 392 414 427 432 441 448 483 486 488 504 512 549 552 567 576 588 621 644 648 672 729 732 736 756 768 784 828 854 864 882 896 966 972 976 1008 1024 1098 1104 1127 1134 1152 1176 1242 1281 1288 1296 1323 1344 1403 1449 1458 1464 1472 1512 1536 1568 1647 1656 1701 1708 1728 1764 1792 1863 1932 1944 1952 2016 2048 2196 2208 2254 2268 2304 2352 2484 2562 2576 2592 2646 2688 2806 2898 2916 2928 2944 2989 3024 3072 3136 3294 3312 3381 3402 3416 3456 3528 3584 3726 3843 3864 3888 3904 3969 4032 4096 4209 4347 4392 4416 4508 4536 4608 4704 4941 4968 5103 5124 5152 5184 5292 5376 5589 5612 5796 5832 5856 5888 5978 6048 6144 6272 6588 6624 6762 6804 6832 6912 7056 7168 7452 7686 7728 7776 7808 7938 8064 8192 8418 8694 8784 8832 8967 9016 9072 9216 9408 9821 9882 9936 10143 10206 10248 10304 10368 10584 10752 11178 11224 11529 11592 11664 11712 11776 11907 11956 12096 12288 12544 12627 13041 13176 13248 13524 13608 13664 13824 14112 14336 14823 14904 15372 15456 15552 15616 15876 16128 16384 16767 16836 17388 17568 17664 17934 18032 18144 18432 18816 19642 19764 19872 20286 20412 20496 20608 20736 21168 21504 22356 22448 23058 23184 23328 23424 23552 23814 23912 24192 24576 25088 25254 26082 26352 26496 26901 27048 27216 27328 27648 28224 28672 29463 29646 29808 30429 30744 30912 31104 31232 31752 32256 32768 33534 33672 34587 34776 35136 35328 35721 35868 36064 36288 36864 37632 37881 39123 39284 39528 39744 40572 40824 40992 41216 41472 42336 43008 44469 44712 44896 46116 46368 46656 46848 47104 47628 47824 48384 49152 50176 50508 52164 52704 52992 53802 54096 54432 54656 55296 56448 57344 58926 59292 59616 60858 61488 61824 62208 62464 63504 64512 65536 67068 67344 68747 69174 69552 70272 70656 71442 71736 72128 72576 73728 75264 75762 78246 78568 79056 79488 80703 81144 81648 81984 82432 82944 84672 86016 88389 88938 89424 89792 91287 92232 92736 93312 93696 94208 95256 95648 96768 98304 100352 101016 103761 104328 105408 105984 107604 108192 108864 109312 110592 112896 113643 114688 117369 117852 118584 119232 121716 122976 123648 124416 124928 127008 129024 131072 134136 134688 137494 138348 139104 140544 141312 142884 143472 144256 145152 147456 150528 151524 156492 157136 158112 158976 161406 162288 163296 163968 164864 165888 169344 172032 176778 177876 178848 179584 182574 184464 185472 186624 187392 188416 190512 191296 193536 196608 200704 202032 206241 207522 208656 210816 211968 215208 216384 217728 218624 221184 225792 227286 229376 234738 235704 237168 238464 242109 243432 245952 247296 248832 249856 254016 258048 262144 265167 268272 269376 273861 274988 276696 278208 281088 282624 285768 286944 288512 290304 294912 301056 303048 311283 312984 314272 316224 317952 322812 324576 326592 327936 329728 331776 338688 340929 344064 353556 355752 357696 359168 365148 368928 370944 373248 374784 376832 381024 382592 387072 393216 401408 404064 412482 415044 417312 421632 423936 430416 432768 435456 437248 442368 451584 454572 458752 469476 471408 474336 476928 484218 486864 491904 494592 497664 499712 508032 516096 530334 536544 538752 547722 549976 553392 556416 562176 565248 571536 573888 577024 580608 589824 602112 606096 618723 622566 625968 628544 632448 635904 645624 649152 653184 655872 659456 663552 677376 681858 688128 707112 711504 715392 718336 726327 730296 737856 741888 746496 749568 753664 762048 765184 774144 786432 795501 802816 808128 821583 824964 830088 834624 843264 847872 860832 865536 870912 874496 884736 903168 909144 917504 938952 942816 948672 953856 968436 973728 983808 989184 995328 999424 1016064 1022787 1032192 1060668 1073088 1077504 1095444 1099952 1106784 1112832 1124352 1130496 1143072 1147776 1154048 1161216 1179648 1204224 1212192 1237446 1245132 1251936 1257088 1264896 1271808 1291248 1298304 1306368 1311744 1318912 1327104 1354752 1363716 1376256 1414224 1423008 1430784 1436672 1452654 1460592 1475712 1483776 1492992 1499136 1507328 1524096 1530368 1548288 1591002 1605632 1616256 1643166 1649928 1660176 1669248 1686528 1695744 1721664 1731072 1741824 1748992 1769472 1806336 1818288 1835008 1856169 1877904 1885632 1897344 1907712 1936872 1947456 1967616 1978368 1990656 1998848 2032128 2045574 2064384 2121336 2146176 2155008 2178981 2190888 2199904 2213568 2225664 2248704 2260992 2286144 2295552 2308096 2322432 2359296 2386503 2408448 2424384 2474892 2490264 2503872 2514176 2529792 2543616 2582496 2596608 2612736 2623488 2637824 2654208 2709504 2727432 2752512 2828448 2846016 2861568 2873344 2905308 2921184 2951424 2967552 2985984 2998272 3014656 3048192 3060736 3096576 3182004 3211264 3232512 3286332 3299856 3320352 3338496 3373056 3391488 3443328 3462144 3483648 3497984 3538944 3612672 3636576 3712338 3755808 3771264 3794688 3815424 3873744 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32729184 33411042 33941376 34338816 34480128 34863696 35054208 35198464 35417088 35610624 35979264 36578304 36728832 36929536 37158912 38184048 38535168 38790144 39598272 39844224 40061952 40226816 40476672 40697856 41319936 41545728 41803776 41975808 42205184 43352064 43638912 44548056 45255168 45536256 45785088 45973504 46484928 46738944 47222784 47480832 47775744 47972352 48771072 48971776 49545216 50116563 50912064 51720192 52581312 52797696 53125632 53415936 53968896 54263808 55093248 55394304 55738368 55967744 57276072 57802752 58185216 59397408 60092928 60340224 60715008 61046784 61979904 62318592 62963712 63307776 63700992 65028096 65458368 66822084 67882752 68677632 68960256 69727392 70108416 70396928 70834176 71221248 71958528 73156608 73457664 73859072 74317824 76368096 77580288 79196544 79688448 80123904 80453632 80953344 81395712 82639872 83091456 83607552 83951616 86704128 87277824 89096112 90510336 91072512 91570176 91947008 92969856 93477888 94445568 94961664 95551488 97542144 97943552 100233126 101824128 103440384 105162624 105595392 106251264 106831872 107937792 110186496 110788608 111476736 111935488 114552144 115605504 116370432 118794816 120185856 120680448 121430016 122093568 123959808 124637184 125927424 126615552 130056192 130916736 133644168 135765504 137355264 137920512 139454784 140216832 140793856 141668352 142442496 143917056 146313216 146915328 147718144 148635648 152736192 155160576 158393088 159376896 160247808 160907264 161906688 162791424 165279744 166182912 167215104 167903232 173408256 174555648 178192224 181020672 182145024 183140352 183894016 185939712 186955776 188891136 189923328 191102976 195084288 195887104 200466252 203648256 206880768 210325248 211190784 212502528 213663744 215875584 220372992 221577216 222953472 229104288 232740864 237589632 240371712 241360896 242860032 244187136 247919616 249274368 251854848 260112384 261833472 267288336 271531008 274710528 275841024 278909568 280433664 281587712 283336704 284884992 292626432 293830656 295436288 305472384 310321152 316786176 318753792 320495616 321814528 323813376 330559488 332365824 334430208 335806464 346816512 349111296 356384448 362041344 364290048 366280704 367788032 371879424 373911552 377782272 379846656 390168576 391774208 400932504 407296512 413761536 420650496 422381568 425005056 427327488 431751168 440745984 443154432 445906944 458208576 465481728 475179264 480743424 482721792 485720064 488374272 495839232 498548736 503709696 520224768 523666944 534576672 543062016 549421056 551682048 557819136 560867328 563175424 566673408 569769984 585252864 587661312 610944768 620642304 633572352 637507584 640991232 643629056 647626752 661118976 664731648 668860416 698222592 712768896 724082688 728580096 732561408 743758848 747823104 755564544 780337152 783548416 801865008 814593024 827523072 841300992 844763136 850010112 854654976 881491968 886308864 916417152 930963456 950358528 961486848 965443584 971440128 991678464 997097472 1007419392 1040449536 1047333888 1069153344 1086124032 1098842112 1103364096 1115638272 1121734656 1126350848 1133346816 1139539968 1170505728 1175322624 1221889536 1241284608 1267144704 1275015168 1281982464 1287258112 1295253504 1322237952 1329463296 1337720832 1396445184 1425537792 1448165376 1457160192 1465122816 1487517696 1495646208 1511129088 1560674304 1603730016 1629186048 1655046144 1682601984 1689526272 1700020224 1709309952 1762983936 1832834304 1861926912 1900717056 1922973696 1930887168 1942880256 1983356928 1994194944 2094667776 2138306688 2172248064 2197684224 2231276544 2243469312 2252701696 2266693632 2341011456 2350645248 2443779072 2482569216 2534289408 2550030336 2563964928 2574516224 2644475904 2658926592 2792890368 2851075584 2896330752 2914320384 2975035392 2991292416 3022258176 3121348608 3207460032 3258372096 3310092288 3365203968 3379052544 3400040448 3418619904 3525967872 3665668608 3723853824 3801434112 3845947392 3861774336 3885760512 3966713856 3988389888 4189335552 4276613376 4344496128 4395368448 4462553088 4486938624 4505403392 4533387264 4682022912 4887558144 4965138432 5068578816 5100060672 5127929856 5288951808 5585780736 5702151168 5792661504 5828640768 5950070784 5982584832 6414920064 6516744192 6730407936 6758105088 6800080896 7051935744 7331337216 7447707648 7602868224 7691894784 7723548672 7933427712 7976779776 8378671104 8553226752 8688992256 8925106176 8973877248 9010806784 9066774528 9364045824 9775116288 9930276864 10137157632 10200121344 10255859712 10577903616 11171561472 11404302336 11585323008 11657281536 11900141568 11965169664 12829840128 13033488384 13460815872 13516210176 13600161792 14662674432 14895415296 15205736448 15383789568 15866855424 16757342208 17106453504 17377984512 17850212352 17947754496 18021613568 19550232576 20274315264 20400242688 21155807232 22343122944 22808604672 23170646016 23800283136 23930339328 25659680256 26066976768 26921631744 27032420352 27200323584 29325348864 29790830592 30411472896 30767579136 31733710848 33514684416 34212907008 34755969024 35700424704 35895508992 39100465152 40548630528 40800485376 44686245888 45617209344 47600566272 51319360512 52133953536 53843263488 54064840704 58650697728 60822945792 63467421696 67029368832 68425814016 69511938048 71400849408 71791017984 78200930304 81097261056 81600970752 89372491776 91234418688 95201132544 102638721024 104267907072 107686526976 117301395456 121645891584 134058737664 136851628032 142801698816 156401860608 162194522112 182468837376 190402265088 205277442048 208535814144 215373053952 234602790912 243291783168 268117475328 273703256064 285603397632 312803721216 364937674752 410554884096 469205581824 486583566336 547406512128 571206795264 625607442432 729875349504 821109768192 938411163648 1094813024256 1459750699008 1642219536384 1876822327296 2189626048512 3284439072768 4379252097024 6568878145536 13137756291072
- Sum of all divisors σ(n): 48603443327856
- Sum of proper divisors (its aliquot sum) s(n): 35465687036784
- 13137756291072 is an abundant number, because the sum of its proper divisors (35465687036784) is greater than itself. Its abundance is 22327930745712
Bases of 13137756291072
- Binary: 101111110010110111110100110000000000000000002
- Hexadecimal: 0xBF2DF4C0000
- Base-36: 4NNEGW000
Squares and roots of 13137756291072
- 13137756291072 squared (131377562910722) is 172600640363601913586909184
- 13137756291072 cubed (131377562910723) is 2267585148779966813752233845119934005248
-
The
square root of 13137756291072 is 3624604.2944122879 -
The
cube root of 13137756291072 is 23596.1093671775
Scales and comparisons
How big is 13137756291072?- 13,137,756,291,072 seconds is equal to 417,740 years, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 13,137,756,291,072 would take you about one million, forty-four thousand, three hundred fifty 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 13137756291072 cubic inches would be around 1966.3 feet tall.
Recreational maths with 13137756291072
- 13137756291072 backwards is 27019265773131
- 13137756291072 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13137756291072's digits is 54
- More coming soon!
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"Number 13137756291072 - Facts about the integer". Numbermatics.com. 2024. Web. 20 May 2024.
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The information we have on file for 13137756291072 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 13137756291072, math, Factors of 13137756291072, curriculum, school, college, exams, university, Prime factorization of 13137756291072, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, one hundred thirty-seven billion, seven hundred fifty-six million, two hundred ninety-one thousand and seventy-two.