137972731810914
137,972,731,810,914 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137972731810914 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
137972731810914 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137972731810914:
2 × 35 × 7 × 112 × 133 × 41 × 612
(2 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 13 × 13 × 13 × 41 × 61 × 61)See below for interesting mathematical facts about the number 137972731810914 from the Numbermatics database.
Names of 137972731810914
- Cardinal: 137972731810914 can be written as One hundred thirty-seven trillion, nine hundred seventy-two billion, seven hundred thirty-one million, eight hundred ten thousand, nine hundred fourteen.
Scientific notation
- Scientific notation: 1.37972731810914 × 1014
Factors of 137972731810914
Divisors of 137972731810914
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 41 42 54 61 63 66 77 78 81 82 91 99 117 121 122 123 126 143 154 162 169 182 183 189 198 231 234 242 243 246 273 286 287 297 338 351 363 366 369 378 427 429 451 462 486 507 533 546 549 567 574 594 671 693 702 726 738 793 819 847 854 858 861 891 902 1001 1014 1053 1066 1089 1098 1107 1134 1183 1281 1287 1342 1353 1386 1521 1573 1586 1599 1638 1647 1694 1701 1722 1782 1859 2002 2013 2079 2106 2178 2197 2214 2366 2379 2457 2501 2541 2562 2574 2583 2673 2706 3003 3042 3146 3157 3159 3198 3267 3294 3321 3402 3549 3718 3721 3731 3843 3861 4026 4059 4158 4394 4563 4697 4719 4758 4797 4914 4941 4961 5002 5082 5166 5346 5551 5577 5863 6006 6039 6237 6314 6318 6534 6591 6642 6929 7098 7137 7371 7381 7442 7462 7503 7623 7686 7722 7749 8118 8723 9009 9126 9394 9438 9471 9594 9801 9882 9922 9963 10309 10647 11011 11102 11154 11163 11193 11529 11583 11726 12078 12177 12474 13013 13182 13689 13858 14091 14157 14274 14391 14742 14762 14823 14883 15006 15246 15379 15498 16653 16731 17446 17507 17589 18018 18117 18711 18942 19602 19773 19926 20449 20618 20787 21294 21411 22022 22113 22143 22326 22386 22509 22869 23058 23166 23247 24167 24354 26026 26047 26169 27027 27378 27511 28182 28314 28413 28782 29403 29646 29766 30758 30927 31941 32513 33033 33306 33462 33489 33579 34587 34727 34749 35014 35178 36234 36531 37422 39039 39546 40898 40931 41041 41067 41574 42273 42471 42822 43173 44226 44286 44649 45018 45738 46137 46494 48334 48373 48503 49959 50193 51667 52094 52338 52521 52767 54054 54351 55022 56826 58806 59319 61061 61347 61854 62361 63882 64233 64493 65026 66066 66429 66978 67158 67527 68607 69174 69454 69498 69741 72163 72501 73062 76219 78078 78141 78507 81081 81862 82082 82134 82533 84546 84942 85239 86346 89298 90077 92274 92781 95823 95953 96746 97006 97539 99099 99918 100386 100467 100737 103334 103761 104181 105042 105534 108702 109593 113399 117117 118638 122122 122694 122793 123123 124722 126819 127413 128466 128986 129519 132858 133947 134017 135054 137214 138411 139482 143143 144326 145002 145119 145509 149877 150579 152438 152561 155001 156282 157014 157563 158301 162162 163053 165066 169169 170478 177957 180154 183183 184041 185562 187083 191646 191906 192577 192699 193479 195078 198198 199287 200934 201474 202581 205821 207522 208362 216489 217503 219186 226798 227591 228657 234234 234423 235521 243243 245586 246246 247599 253638 254826 255717 259038 265837 267894 268034 270231 276822 278343 286286 286517 287469 287859 290238 291018 292617 297297 299754 301158 301401 302211 302621 305122 310002 312543 315126 316602 326106 338338 338611 340197 351351 355914 357643 366366 368082 368379 369369 374166 380457 382239 385154 385398 386958 398574 401841 402051 405162 411642 415233 422669 429429 432978 435006 435357 436527 449631 450241 451451 451737 455182 457314 457683 465003 468846 471042 472689 474903 486486 495198 507507 511434 531674 532103 533533 533871 540462 549549 552123 556686 561249 573034 574938 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283894509899 298642276647 305926234614 321614759466 323121151782 365007227013 373909842306 376974677079 380090170278 393084706014 408203348553 464554652562 480741225822 482422139199 505394622018 560864763459 567789019798 570135255417 589627059021 597284553294 696831978843 730014454026 753949354158 758091933027 816406697106 851683529697 895926829941 964844278398 1095021681039 1121729526918 1130924031237 1140270510834 1179254118042 1393663957686 1516183866054 1682594290377 1703367059394 1768881177063 1791853659882 2090495936529 2190043362078 2261848062474 2555050589091 3285065043117 3365188580754 3537762354126 4180991873058 5110101178182 5306643531189 6271487809587 6570130086234 7665151767273 9855195129351 10613287062378 12542975619174 15330303534546 19710390258702 22995455301819 45990910603638 68986365905457 137972731810914
- Sum of all divisors σ(n): 439366413507840
- Sum of proper divisors (its aliquot sum) s(n): 301393681696926
- 137972731810914 is an abundant number, because the sum of its proper divisors (301393681696926) is greater than itself. Its abundance is 163420949886012
Bases of 137972731810914
- Binary: 111110101111100010001111010101100010100011000102
- Hexadecimal: 0x7D7C47AB1462
- Base-36: 1CWNSQ644I
Squares and roots of 137972731810914
- 137972731810914 squared (1379727318109142) is 19036474723366400029849515396
- 137972731810914 cubed (1379727318109143) is 2626514421632275589580760072018056403831944
-
The
square root of 137972731810914 is 11746179.4559300855 -
The
cube root of 137972731810914 is 51673.0886173757
Scales and comparisons
How big is 137972731810914?- 137,972,731,810,914 seconds is equal to 4,387,106 years, 4 weeks, 6 days, 4 hours, 21 minutes, 54 seconds.
-
To count from 1 to 137,972,731,810,914 would take you about ten million, nine hundred sixty-seven thousand, seven hundred sixty-five 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 137972731810914 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137972731810914
- 137972731810914 backwards is 419018137279731
- 137972731810914 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137972731810914's digits is 63
- More coming soon!
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"Number 137972731810914 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 137972731810914 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/137972731810914/
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The information we have on file for 137972731810914 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!
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