137986135517412
137,986,135,517,412 is an even composite number composed of six prime numbers multiplied together.
What does the number 137986135517412 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
137986135517412 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 137986135517412:
22 × 39 × 73 × 13 × 312 × 409
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 31 × 31 × 409)See below for interesting mathematical facts about the number 137986135517412 from the Numbermatics database.
Names of 137986135517412
- Cardinal: 137986135517412 can be written as One hundred thirty-seven trillion, nine hundred eighty-six billion, one hundred thirty-five million, five hundred seventeen thousand, four hundred twelve.
Scientific notation
- Scientific notation: 1.37986135517412 × 1014
Factors of 137986135517412
Divisors of 137986135517412
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 31 36 39 42 49 52 54 62 63 78 81 84 91 93 98 108 117 124 126 147 156 162 182 186 189 196 217 234 243 252 273 279 294 324 343 351 364 372 378 403 409 434 441 468 486 546 558 567 588 637 651 686 702 729 756 806 818 819 837 868 882 961 972 1029 1053 1092 1116 1134 1209 1227 1274 1302 1323 1372 1404 1458 1519 1612 1636 1638 1674 1701 1764 1911 1922 1953 2058 2106 2187 2268 2418 2454 2457 2511 2548 2604 2646 2821 2863 2883 2916 3038 3087 3159 3276 3348 3402 3627 3681 3822 3844 3906 3969 4116 4212 4374 4459 4557 4836 4908 4914 5022 5103 5292 5317 5642 5726 5733 5766 5859 6076 6174 6318 6561 6727 6804 7254 7362 7371 7533 7644 7812 7938 8463 8589 8649 8748 8918 9114 9261 9477 9828 10044 10206 10633 10634 10881 11043 11284 11452 11466 11532 11718 11907 12348 12493 12636 12679 13122 13377 13454 13671 14508 14724 14742 15066 15309 15876 15951 16926 17178 17199 17298 17577 17836 18228 18522 18954 19683 19747 20041 20181 20412 21266 21268 21762 22086 22113 22599 22932 23436 23814 24986 25358 25389 25767 25947 26244 26754 26908 27342 27783 28431 29484 30132 30618 31899 31902 32643 33129 33852 34356 34398 34596 35154 35721 37044 37219 37479 37908 38037 39366 39494 40082 40131 40362 41013 42532 43524 44172 44226 45198 45927 47089 47628 47853 49972 50716 50778 51534 51597 51894 52731 53508 54684 55566 56862 59241 60123 60543 61236 63798 63804 65286 66258 66339 67797 68796 70308 71442 74438 74958 76074 76167 77301 77841 78732 78988 80164 80262 80724 82026 83349 85293 87451 88452 88753 90396 91854 94178 95697 95706 97929 99387 101556 103068 103194 103788 105462 107163 111132 111657 112437 113724 114111 118482 120246 120393 121086 123039 127596 130572 132516 132678 135594 137781 138229 140287 141267 142884 143559 148876 149916 152148 152334 154602 154791 155682 158193 160524 164052 164827 166698 170586 174902 177506 177723 180369 181629 183708 188356 191394 191412 195858 198774 199017 203391 206388 210924 214326 223314 224874 228222 228501 231903 233523 236964 240492 240786 242172 246078 250047 255879 260533 262353 265356 266259 271188 275562 276458 280574 282534 287091 287118 293787 298161 304668 309204 309582 311364 316386 321489 329623 329654 333396 334971 337311 341172 342333 349804 355012 355446 360738 361179 363258 369117 382788 391716 393049 397548 398034 406782 414687 420861 423801 428652 430677 446628 449748 456444 457002 463806 464373 467046 474579 481572 492156 494481 500094 511758 521066 524706 532518 533169 541107 544887 551124 552916 561148 565068 574182 574236 587574 596322 597051 610173 612157 619164 621271 632772 642978 659246 659308 669942 674622 684666 685503 695709 700569 710892 721476 722358 726516 738234 750141 781599 786098 787059 796068 798777 813564 829374 841722 847602 861273 861354 881361 894483 914004 927612 928746 934092 949158 964467 988869 988962 1000188 1004913 1011933 1023516 1026999 1042132 1049412 1065036 1066338 1082214 1083537 1089774 1107351 1148364 1153789 1175148 1179147 1192644 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63093797676 65520482202 67048656714 70653423204 71792994546 72206245692 78223432833 81120597012 82428993738 84240619974 84343603617 85599339651 90840115548 94640696514 98280723303 100572985071 104297910444 105980134806 108309368538 112458138156 114132452868 121680895518 123643490607 126360929961 131040964404 134097313428 141961044771 143585989092 156446865666 158970202209 164857987476 168481239948 168687207234 171198679302 182521343277 189281393028 196561446606 201145970142 211960269612 216618737076 234670298499 243361791036 247286981214 252721859922 283922089542 294842169909 312893731332 317940404418 337374414468 342397358604 365042686554 370930471821 379082789883 393122893212 402291940284 425883134313 469340596998 494573962428 505443719844 547564029831 567844179084 589684339818 635880808836 704010895497 730085373108 741860943642 758165579766 851766268626 884526509727 938681193996 1095128059662 1112791415463 1179368679636 1277649402939 1408021790994 1483721887284 1516331159532 1642692089493 1703532537252 1769053019454 2190256119324 2225582830926 2555298805878 2653579529181 2816043581988 3285384178986 3538106038908 3832948208817 4451165661852 4928076268479 5110597611756 5307159058362 6570768357972 7665896417634 9856152536958 10614318116724 11498844626451 15331792835268 19712305073916 22997689252902 34496533879353 45995378505804 68993067758706 137986135517412
- Sum of all divisors σ(n): 471188159904000
- Sum of proper divisors (its aliquot sum) s(n): 333202024386588
- 137986135517412 is an abundant number, because the sum of its proper divisors (333202024386588) is greater than itself. Its abundance is 195215888869176
Bases of 137986135517412
- Binary: 111110101111111011001101001011101101000111001002
- Hexadecimal: 0x7D7F669768E4
- Base-36: 1CWTYEE290
Squares and roots of 137986135517412
- 137986135517412 squared (1379861355174122) is 19040173595029589432955177744
- 137986135517412 cubed (1379861355174123) is 2627279973958802556641776532816783866878528
-
The
square root of 137986135517412 is 11746749.9980808309 -
The
cube root of 137986135517412 is 51674.7618670517
Scales and comparisons
How big is 137986135517412?- 137,986,135,517,412 seconds is equal to 4,387,532 years, 15 weeks, 16 hours, 10 minutes, 12 seconds.
-
To count from 1 to 137,986,135,517,412 would take you about ten million, nine hundred sixty-eight thousand, eight hundred thirty 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 137986135517412 cubic inches would be around 4306.2 feet tall.
Recreational maths with 137986135517412
- 137986135517412 backwards is 214715531689731
- 137986135517412 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137986135517412's digits is 63
- More coming soon!
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"Number 137986135517412 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 137986135517412 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/137986135517412/
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The information we have on file for 137986135517412 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 137986135517412, math, Factors of 137986135517412, curriculum, school, college, exams, university, Prime factorization of 137986135517412, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, nine hundred eighty-six billion, one hundred thirty-five million, five hundred seventeen thousand, four hundred twelve.