137538251968837993
137,538,251,968,837,993 is an odd composite number composed of five prime numbers multiplied together.
What does the number 137538251968837993 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 576 divisors.
137538251968837993 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 137538251968837993:
73 × 133 × 192 × 412 × 673
(7 × 7 × 7 × 13 × 13 × 13 × 19 × 19 × 41 × 41 × 67 × 67 × 67)See below for interesting mathematical facts about the number 137538251968837993 from the Numbermatics database.
Names of 137538251968837993
- Cardinal: 137538251968837993 can be written as One hundred thirty-seven quadrillion, five hundred thirty-eight trillion, two hundred fifty-one billion, nine hundred sixty-eight million, eight hundred thirty-seven thousand, nine hundred ninety-three.
Scientific notation
- Scientific notation: 1.37538251968837993 × 1017
Factors of 137538251968837993
Divisors of 137538251968837993
- Number of divisors d(n): 576
-
Complete list of divisors:
1 7 13 19 41 49 67 91 133 169 247 287 343 361 469 533 637 779 871 931 1183 1273 1681 1729 2009 2197 2527 2747 3211 3283 3731 4459 4489 4693 5453 6097 6517 6929 8281 8911 10127 11323 11767 12103 14063 14801 15379 16549 17689 19229 21853 22477 22981 24187 26117 31423 31939 32851 35711 38171 41743 42679 48503 52193 57967 58357 61009 62377 70889 79261 82369 84721 85291 90077 103607 107653 112627 115843 123823 131651 134603 147199 152971 157339 169309 182819 184049 192413 215137 219961 223573 229957 249977 267197 284089 292201 298753 300763 314431 339521 365351 408499 415207 427063 436639 464243 496223 554827 576583 597037 606841 630539 678509 725249 753571 758641 788389 793117 810901 921557 942221 991667 1030393 1070797 1101373 1108783 1185163 1288343 1346891 1464151 1505959 1539727 1565011 1609699 1620529 1711463 1749839 1988623 2045407 2105341 2139913 2201017 2376647 2392637 2501369 2557457 2796781 2859493 2906449 2989441 3249701 3473561 3496931 3693157 3883789 3909919 4087603 4179259 4247887 4413773 4749563 5076743 5310487 5397691 5518723 5551819 5676307 5714497 6035159 6450899 6941669 7212751 7495579 7546009 7761481 7888933 8296141 8820617 9018401 9428237 9862333 10249057 10541713 10955077 11343703 11980241 12248873 12331283 12891671 13920361 14317849 14414179 14737387 14979391 15407119 16748459 17509583 17902199 19033963 19577467 20016451 20345143 20926087 21066877 22747907 24478517 25852099 27369433 27818869 28613221 29254813 29735209 30896411 31104281 32517797 33246941 37173409 37783837 38631061 38862733 40001479 40658347 42246113 45156293 45460103 48591683 50489257 50828947 52822063 53138839 54330367 55222531 61744319 63128807 65997659 66441689 69036331 70169983 71743399 73791991 74288461 79405921 83861687 86318981 90241697 97442527 98098117 100899253 102556129 103161709 104855737 107849833 108575443 114668021 117239213 122567081 133237741 137042269 142416001 143374171 147468139 159235349 160306679 167591723 171349619 180964693 187384327 191586031 194732083 200292547 208146463 217729967 227624579 232728587 234294377 247441519 260213863 264486859 272039131 273869401 280010353 284608429 295722791 318220721 340141781 355802629 361645297 369754441 371971873 380312569 386557717 404355653 432210233 465091823 483254317 491189881 502203793 505582603 520019227 528558511 555841447 587031809 590981339 604232867 631691879 660776311 686686819 706294771 717892903 733990159 760028101 802676147 820674491 857969567 863741957 932664187 959295883 965749993 1003619197 1032276973 1122146753 1173142061 1199447333 1266752851 1275275521 1311690289 1333229677 1341102217 1363124581 1402047829 1411480759 1524109769 1593372053 1640060639 1732090633 1851408013 1863864223 1917085807 1960072471 1992259003 2070059537 2083986827 2178692399 2227545047 2490618403 2531517079 2588281087 2603803111 2705904019 2724109249 2830489571 3025471631 3045826901 3255642761 3382780219 3438329167 3539078221 3560302213 3640134589 3699909577 4136869373 4229630069 4421843153 4451593163 4625434177 4701388861 4806807733 4944063397 5025250321 5320196707 5618733029 6046193699 6528649309 6572573839 6760249951 6871260643 7025334379 7225938811 7682757407 7855027271 8211994427 8926928647 9181832023 9332607739 9541872067 9606069457 9880365313 10668768383 11153604371 11228645441 11480424473 12124634431 12554749909 13047049561 13419600649 13945813021 14587907789 15250846793 15592815329 16578581773 17434328821 17720619553 18226621777 18349249867 19068764743 19813426997 21320788307 22789499327 24068304169 24230234899 24773547547 24922115491 25480942123 25899367039 27091828751 28958085611 31161152141 32378039239 32909722027 33647654131 35176752247 35413420237 37241376949 39331131203 39595749713 42323355893 46008016873 47321749657 48098824501 49177340653 53779301849 54985190897 57483960989 57870711119 62488500529 64272824161 65328254173 67242486199 69162557191 78600518087 80362971311 84872441017 85443459907 87883249363 89326388359 91329346927 93937204543 102115354523 106755927551 116050072411 124044336871 124878902941 128444749069 133481353201 138693988979 145972390733 149245518149 169611644293 173414832829 174454808437 181295569273 182515319683 189642801257 202706599277 218128064987 226646274673 230368054189 238540248271 247893941659 277170247991 296263491251 314993053687 322056118111 331252247599 336691771507 376455112943 405094977833 437419503703 457297779211 460374463081 470697403393 484137900337 514744746269 550203626609 598104219349 615182745541 625284718513 639305428489 714807481661 747291492857 752319244547 812350506877 874152320587 899113243483 934369472407 1021806735131 1044718627043 1110764978791 1187281510051 1221183659059 1277607237781 1327499608799 1526896454909 1612576379323 1623425738233 1669781737897 1735257591613 1940191735937 2204951375809 2254392826777 2356842400549 2372699155879 2635185790601 2835664844831 3222621241567 3294881823751 3603213223883 3851425386263 4186729535443 4306279218787 4376993029591 5266234711829 5686453548139 5984868020053 6119066244109 6293792704381 7152647145917 7775354851537 8310970570357 8943250664467 9292497261593 9780150179111 11363980167631 11688472165279 12146803141291 13581342151559 15434659630663 16608894091153 19849653913817 21104534597029 22558348690969 25222492567181 29307106748101 30638951207137 30845089026427 36863642982803 41894076140371 42833463708763 50068530021419 54427483960759 62602754651269 68461051253777 79547861173417 81819305156953 108042617414641 116262258638071 147731742179203 157908440836783 176557447970267 215915623184989 258045500879621 293258532982597 380992387725313 400986157343551 479227358776439 556835028213919 813835810466497 1034122195254421 1511409362294923 2052809730878179 2806903101404857 3354591511435073 7238855366780947 10579865536064461 19648321709833999 137538251968837993
- Sum of all divisors σ(n): 190810581568320000
- Sum of proper divisors (its aliquot sum) s(n): 53272329599482007
- 137538251968837993 is a deficient number, because the sum of its proper divisors (53272329599482007) is less than itself. Its deficiency is 84265922369355986
Bases of 137538251968837993
- Binary: 1111010001010001001001111101110111010000101111001011010012
- Hexadecimal: 0x1E8A24FBBA17969
- Base-36: 11M98OOPTBOP
Squares and roots of 137538251968837993
- 137538251968837993 squared (1375382519688379932) is 18916770754643568057787542680268049
- 137538251968837993 cubed (1375382519688379933) is 2601779582488912691037535457297710541395036295185657
-
The
square root of 137538251968837993 is 370861499.7122753277 -
The
cube root of 137538251968837993 is 516187.9160138655
Scales and comparisons
How big is 137538251968837993?- 137,538,251,968,837,993 seconds is equal to 4,373,290,978 years, 44 weeks, 5 days, 23 hours, 53 minutes, 13 seconds.
-
To count from 1 to 137,538,251,968,837,993 would take you about thirteen billion, one hundred nineteen million, eight hundred seventy-two thousand, nine hundred thirty-six 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 137538251968837993 cubic inches would be around 43015.7 feet tall.
Recreational maths with 137538251968837993
- 137538251968837993 backwards is 399738869152835731
- The number of decimal digits it has is: 18
- The sum of 137538251968837993's digits is 97
- 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 137538251968837993 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 137538251968837993 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/137538251968837993/
Chicago style:
Numbermatics. 2024. "Number 137538251968837993 - Facts about the integer". https://numbermatics.com/n/137538251968837993/
The information we have on file for 137538251968837993 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 137538251968837993, math, Factors of 137538251968837993, curriculum, school, college, exams, university, Prime factorization of 137538251968837993, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, five hundred thirty-eight trillion, two hundred fifty-one billion, nine hundred sixty-eight million, eight hundred thirty-seven thousand, nine hundred ninety-three.