137902642006272
137,902,642,006,272 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137902642006272 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
137902642006272 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137902642006272:
28 × 3 × 11 × 13 × 173 × 131 × 1951
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 17 × 17 × 17 × 131 × 1951)See below for interesting mathematical facts about the number 137902642006272 from the Numbermatics database.
Names of 137902642006272
- Cardinal: 137902642006272 can be written as One hundred thirty-seven trillion, nine hundred two billion, six hundred forty-two million, six thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 1.37902642006272 × 1014
Factors of 137902642006272
Divisors of 137902642006272
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 17 22 24 26 32 33 34 39 44 48 51 52 64 66 68 78 88 96 102 104 128 131 132 136 143 156 176 187 192 204 208 221 256 262 264 272 286 289 312 352 374 384 393 408 416 429 442 524 528 544 561 572 578 624 663 704 748 768 786 816 832 858 867 884 1048 1056 1088 1122 1144 1156 1248 1326 1408 1441 1496 1572 1632 1664 1703 1716 1734 1768 1951 2096 2112 2176 2227 2244 2288 2312 2431 2496 2652 2816 2882 2992 3144 3179 3264 3328 3406 3432 3468 3536 3757 3902 4192 4224 4323 4352 4454 4488 4576 4624 4862 4913 4992 5109 5304 5764 5853 5984 6288 6358 6528 6681 6812 6864 6936 7072 7293 7514 7804 8384 8448 8646 8908 8976 9152 9248 9537 9724 9826 9984 10218 10608 11271 11528 11706 11968 12576 12716 13056 13362 13624 13728 13872 14144 14586 14739 15028 15608 16768 17292 17816 17952 18304 18496 18733 19074 19448 19652 20436 21216 21461 22542 23056 23412 23936 24497 25152 25363 25432 26724 27248 27456 27744 28288 28951 29172 29478 30056 31216 33167 33536 34584 35632 35904 36608 36992 37466 37859 38148 38896 39304 40872 41327 42432 42922 45084 46112 46824 47872 48994 50304 50726 50864 53448 54043 54496 54912 55488 56199 56576 57902 58344 58956 60112 62432 63869 64383 66334 69168 71264 71808 73491 73984 74932 75718 76089 76296 77792 78608 81744 82654 84864 85844 86853 90168 92224 93648 97988 99501 100608 101452 101728 106896 108086 108992 109824 110976 112398 113577 115804 116688 117912 120224 123981 124864 127738 128766 132668 138336 142528 143616 146982 149864 151436 152178 152592 155584 157216 162129 163488 165308 169728 171688 173706 180336 184448 187296 191607 195976 199002 202904 203456 213792 216172 217984 221952 224796 227154 231608 233376 235824 240448 247962 249728 255476 255581 257532 265336 276672 278993 285056 293964 299728 302872 304356 305184 311168 314432 318461 324258 326976 330616 343376 347412 360672 364837 368896 374592 383214 391952 398004 405808 406912 416449 427584 431171 432344 435968 449592 454308 463216 466752 471648 480896 492167 495924 499456 510952 511162 515064 530672 553344 557986 563839 570112 587928 599456 605744 608712 610368 622336 628864 636922 643603 648516 653952 661232 686752 694824 702559 721344 729674 749184 766428 766743 783904 796008 811616 813824 832898 836979 855168 862342 864688 899184 908616 926432 933504 943296 955383 961792 984334 991848 1021904 1022324 1030128 1061344 1094511 1106688 1115972 1127678 1175856 1198912 1211488 1217424 1220736 1249347 1257728 1273844 1287206 1293513 1297032 1307904 1322464 1373504 1389648 1405118 1442688 1459348 1476501 1498368 1532856 1533486 1567808 1592016 1623232 1665796 1673958 1691517 1710336 1724684 1729376 1798368 1817232 1852864 1867008 1886592 1910766 1930809 1968668 1983696 2043808 2044648 2060256 2107677 2122688 2189022 2231944 2255356 2351712 2397824 2422976 2434848 2441472 2498694 2547688 2574412 2587026 2594064 2644928 2747008 2779296 2810236 2811391 2885376 2918696 2953002 3065712 3066972 3135616 3184032 3246464 3322553 3331592 3347916 3383034 3449368 3458752 3596736 3634464 3705728 3773184 3821532 3861618 3937336 3967392 4087616 4089296 4120512 4215354 4245376 4344877 4378044 4463888 4510712 4703424 4742881 4795648 4845952 4869696 4997388 5095376 5148824 5174052 5188128 5289856 5413837 5494016 5558592 5620472 5622782 5837392 5906004 6131424 6133944 6202229 6271232 6368064 6492928 6645106 6663184 6695832 6766068 6898736 6917504 7079633 7193472 7268928 7329907 7411456 7643064 7723236 7874672 7934784 8175232 8178592 8241024 8366839 8430708 8434173 8490752 8689754 8756088 8927776 9021424 9406848 9485762 9585263 9691904 9739392 9967659 9994776 10190752 10297648 10348104 10376256 10579712 10827674 11117184 11240944 11245564 11674784 11812008 12262848 12267888 12404458 12736128 13034631 13290212 13326368 13391664 13532136 13797472 13835008 14159266 14228643 14386944 14537856 14659814 15286128 15446472 15749344 15869568 16241511 16350464 16357184 16482048 16733678 16861416 16868346 17379508 17512176 17855552 18042848 18606687 18813696 18971524 19170526 19478784 19935318 19989552 20381504 20595296 20696208 20752512 21238899 21655348 21989721 22234368 22481888 22491128 23349568 23624016 24525696 24535776 24808916 25100517 25472256 26069262 26580424 26652736 26783328 27064272 27594944 28318532 28457286 28755789 29075712 29319628 30572256 30892944 31498688 31739136 32483022 32714368 33467356 33722832 33736692 34759016 35024352 35711104 36085696 36548083 37213374 37943048 38341052 39870636 39979104 40763008 41190592 41392416 41505024 42477798 43310696 43979442 44963776 44982256 46699136 47248032 47793647 49051392 49071552 49617832 50201034 52138524 53160848 53305472 53566656 54128544 55189888 56483401 56637064 56914572 57511578 58639256 61144512 61785888 62997376 64966044 65428736 66934712 67445664 67473384 69518032 70048704 71422208 72171392 73096166 73862909 74426748 75886096 76682104 79741272 79958208 80628977 81526016 82381184 82784832 84955596 86621392 87958884 89927552 89964512 92035229 93398272 94496064 95587294 98143104 99235664 100402068 104277048 105437893 106321696 106610944 107133312 108257088 109644249 110379776 112966802 113274128 113829144 115023156 117278512 122289024 123571776 124608419 125994752 129932088 133869424 134891328 134946768 139036064 140097408 143380941 144342784 146192332 147725818 148853496 151772192 153364208 159482544 159916416 161257954 164762368 165569664 169450203 169911192 173242784 175917768 179855104 179929024 184070458 188992128 191174588 196286208 198471328 200804136 208554096 210875786 212643392 214266624 216514176 219288498 221588727 225933604 226548256 227658288 230046312 234557024 241886931 244578048 247143552 249216838 259864176 267738848 269782656 269893536 276105687 278072128 280194816 286761882 292384664 295451636 297706992 303544384 306728416 316313679 318965088 319832832 322515908 331139328 338900406 339822384 346485568 351835536 359858048 368140916 373825257 377984256 382349176 396942656 401608272 417108192 421751572 425286784 433028352 438576996 443177454 451867208 453096512 455316576 460092624 469114048 483773862 494287104 498433676 519728352 535477696 539565312 539787072 552211374 556144256 573523764 584769328 590903272 595413984 607088768 613456832 621317411 632627358 637930176 645031816 677800812 679644768 692971136 703671072 719716096 736281832 747650514 764698352 793885312 803216544 812491999 834216384 843503144 850573568 877153992 886354908 903734416 906193024 910633152 920185248 938228096 960217817 967547724 996867352 1039456704 1070955392 1079574144 1104422748 1112288512 1147047528 1169538656 1181806544 1190827968 1214177536 1226913664 1242634822 1255669453 1265254716 1275860352 1290063632 1355601624 1359289536 1370692609 1385942272 1407342144 1472563664 1495301028 1529396704 1587770624 1606433088 1624983998 1668432768 1687006288 1754307984 1772709816 1807468832 1812386048 1821266304 1840370496 1863952233 1876456192 1920435634 1935095448 1993734704 2078913408 2141910784 2159148288 2208845496 2294095056 2339077312 2363613088 2381655936 2437475997 2453827328 2485269644 2511338906 2530509432 2551720704 2580127264 2711203248 2718579072 2741385218 2814684288 2880653451 2945127328 2990602056 3058793408 3212866176 3249967996 3336865536 3374012576 3508615968 3545419632 3614937664 3642532608 3680740992 3727904466 3767008359 3840871268 3870190896 3987469408 4112077827 4157826816 4417690992 4588190112 4678154624 4727226176 4763311872 4874951994 4970539288 5022677812 5061018864 5160254528 5422406496 5437158144 5482770436 5629368576 5761306902 5890254656 5981204112 6117586816 6425732352 6499935992 6748025152 7017231936 7090839264 7229875328 7361481984 7455808932 7534016718 7681742536 7740381792 7974938816 8224155654 8835381984 9176380224 9356309248 9454452352 9749903988 9941078576 10045355624 10122037728 10320509056 10562395987 10844812992 10965540872 11522613804 11780509312 11962408224 12235173632 12999871984 13496050304 13812363983 14034463872 14181678528 14459750656 14911617864 15068033436 15363485072 15480763584 15949877632 16323702889 16448311308 17670763968 18352760448 18908904704 19499807976 19882157152 20090711248 20244075456 20641018112 21124791974 21689625984 21931081744 23045227608 23561018624 23924816448 25999743968 26992100608 27624727966 28068927744 28363357056 29823235728 30136066872 30726970144 30961527168 31687187961 31899755264 32647405778 32896622616 35341527936 36705520896 38999615952 39764314304 40181422496 40488150912 41437091949 42249583948 43379251968 43862163488 46090455216 47849632896 48971108667 51999487936 55249455932 56726714112 59646471456 60272133744 61453940288 61923054336 63374375922 65294811556 65793245232 70683055872 77999231904 79528628608 80362844992 80976301824 82874183898 84499167896 87724326976 92180910432 95699265792 97942217334 103998975872 110498911864 119292942912 120544267488 122907880576 126748751844 130589623112 131586490464 155998463808 159057257216 160725689984 165748367796 168998335792 175448653952 179560731779 184361820864 195884434668 207997951744 220997823728 238585885824 241088534976 245815761152 253497503688 261179246224 263172980928 311996927616 321451379968 331496735592 337996671584 350897307904 359121463558 368723641728 391768869336 441995647456 477171771648 482177069952 506995007376 522358492448 526345961856 538682195337 623993855232 662993471184 675993343168 718242927116 737447283456 783537738672 883991294912 964354139904 1013990014752 1044716984896 1052691923712 1077364390674 1325986942368 1351986686336 1436485854232 1567075477344 1767982589824 2027980029504 2089433969792 2154728781348 2651973884736 2703973372672 2872971708464 3134150954688 3535965179648 4055960059008 4178867939584 4309457562696 5303947769472 5745943416928 6268301909376 8111920118016 8618915125392 10607895538944 11491886833856 12536603818752 17237830250784 22983773667712 34475660501568 45967547335424 68951321003136 137902642006272
- Sum of all divisors σ(n): 461864327823360
- Sum of proper divisors (its aliquot sum) s(n): 323961685817088
- 137902642006272 is an abundant number, because the sum of its proper divisors (323961685817088) is greater than itself. Its abundance is 186059043810816
Bases of 137902642006272
- Binary: 111110101101011111101011111110110001001000000002
- Hexadecimal: 0x7D6BF5FD8900
- Base-36: 1CVRLKICQO
Squares and roots of 137902642006272
- 137902642006272 squared (1379026420062722) is 19017138672310014741287337984
- 137902642006272 cubed (1379026420062723) is 2622513666311198769635198801597907911835648
-
The
square root of 137902642006272 is 11743195.5619529731 -
The
cube root of 137902642006272 is 51664.3372018045
Scales and comparisons
How big is 137902642006272?- 137,902,642,006,272 seconds is equal to 4,384,877 years, 23 weeks, 4 days, 14 hours, 11 minutes, 12 seconds.
-
To count from 1 to 137,902,642,006,272 would take you about ten million, nine hundred sixty-two thousand, one hundred ninety-three 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 137902642006272 cubic inches would be around 4305.4 feet tall.
Recreational maths with 137902642006272
- 137902642006272 backwards is 272600246209731
- 137902642006272 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137902642006272's digits is 51
- More coming soon!
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The information we have on file for 137902642006272 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 137902642006272, math, Factors of 137902642006272, curriculum, school, college, exams, university, Prime factorization of 137902642006272, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, nine hundred two billion, six hundred forty-two million, six thousand, two hundred seventy-two.