137973127435104
137,973,127,435,104 is an even composite number composed of seven prime numbers multiplied together.
137973127435104 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137973127435104:
25 × 3 × 13 × 17 × 19 × 37 × 9250723
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 17 × 19 × 37 × 9250723)See below for interesting mathematical facts about the number 137973127435104 from the Numbermatics database.
Names of 137973127435104
- Cardinal: 137973127435104 can be written as One hundred thirty-seven trillion, nine hundred seventy-three billion, one hundred twenty-seven million, four hundred thirty-five thousand, one hundred four.
Scientific notation
- Scientific notation: 1.37973127435104 × 1014
Factors of 137973127435104
Divisors of 137973127435104
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 19 24 26 32 34 37 38 39 48 51 52 57 68 74 76 78 96 102 104 111 114 136 148 152 156 204 208 221 222 228 247 272 296 304 312 323 408 416 442 444 456 481 494 544 592 608 624 629 646 663 703 741 816 884 888 912 962 969 988 1184 1248 1258 1292 1326 1406 1443 1482 1632 1768 1776 1824 1887 1924 1938 1976 2109 2516 2584 2652 2812 2886 2964 3536 3552 3774 3848 3876 3952 4199 4218 5032 5168 5304 5624 5772 5928 7072 7548 7696 7752 7904 8177 8398 8436 9139 10064 10336 10608 11248 11544 11856 11951 12597 15096 15392 15504 16354 16796 16872 18278 20128 21216 22496 23088 23712 23902 24531 25194 27417 30192 31008 32708 33592 33744 35853 36556 46176 47804 49062 50388 54834 60384 65416 67184 67488 71706 73112 95608 98124 100776 109668 130832 134368 143412 146224 155363 191216 196248 201552 219336 261664 286824 292448 310726 382432 392496 403104 438672 466089 573648 621452 784992 877344 932178 1147296 1242904 1864356 2485808 3728712 4971616 7457424 9250723 14914848 18501446 27752169 37002892 55504338 74005784 111008676 120259399 148011568 157262291 175763737 222017352 240518798 296023136 314524582 342276751 351527474 360778197 444034704 471786873 481037596 527291211 629049164 684553502 703054948 721556394 888069408 943573746 962075192 1026830253 1054582422 1258098328 1369107004 1406109896 1443112788 1887147492 1924150384 2044409783 2053660506 2109164844 2284928581 2516196656 2738214008 2812219792 2886225576 2987983529 3774294984 3848300768 4088819566 4107321012 4218329688 4449597763 4569857162 5032393312 5476428016 5624439584 5772451152 5818704767 5975967058 6133229349 6503258269 6854785743 7548589968 8177639132 8214642024 8436659376 8899195526 8963950587 9139714324 10952856032 11544902304 11637409534 11951934116 12266458698 13006516538 13348793289 13709571486 15097179936 16355278264 16429284048 16873318752 17456114301 17798391052 17927901174 18279428648 19509774807 23274819068 23903868232 24532917396 26013033076 26697586578 27419142972 32710556528 32858568096 34912228602 35596782104 35855802348 36558857296 38843785877 39019549614 46549638136 47807736464 49065834792 52026066152 53395173156 54838285944 65421113056 69824457204 71193564208 71711604696 73117714592 75643161971 77687571754 78039099228 84542357497 93099276272 95615472928 98131669584 104052132304 106790346312 109676571888 110555390573 116531357631 139648914408 142387128416 143423209392 151286323942 155375143508 156078198456 169084714994 186198552544 196263339168 208104264608 213580692624 219353143776 221110781146 226929485913 233062715262 253627072491 279297828816 286846418784 302572647884 310750287016 312156396912 331666171719 338169429988 427161385248 442221562292 453858971826 466125430524 507254144982 558595657632 605145295768 621500574032 624312793824 663332343438 676338859976 884443124584 907717943652 932250861048 1014508289964 1210290591536 1243001148064 1326664686876 1352677719952 1437220077449 1768886249168 1815435887304 1864501722096 2029016579928 2420581183072 2653329373752 2705355439904 2874440154898 3537772498336 3630871774608 3729003444192 4058033159856 4311660232347 5306658747504 5748880309796 7261743549216 8116066319712 8623320464694 10613317495008 11497760619592 17246640929388 22995521239184 34493281858776 45991042478368 68986563717552 137973127435104
- Sum of all divisors σ(n): 446468062440960
- Sum of proper divisors (its aliquot sum) s(n): 308494935005856
- 137973127435104 is an abundant number, because the sum of its proper divisors (308494935005856) is greater than itself. Its abundance is 170521807570752
Bases of 137973127435104
- Binary: 111110101111100010111110011111111010011011000002
- Hexadecimal: 0x7D7C5F3FD360
- Base-36: 1CWNZ9PPPC
Squares and roots of 137973127435104
- 137973127435104 squared (1379731274351042) is 19036583894223448089731490816
- 137973127435104 cubed (1379731274351043) is 2626537015566740168374629535889832212004864
-
The
square root of 137973127435104 is 11746196.2964656775 -
The
cube root of 137973127435104 is 51673.1380066137
Scales and comparisons
How big is 137973127435104?- 137,973,127,435,104 seconds is equal to 4,387,118 years, 35 weeks, 3 hours, 58 minutes, 24 seconds.
-
To count from 1 to 137,973,127,435,104 would take you about ten million, nine hundred sixty-seven thousand, seven hundred ninety-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 137973127435104 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137973127435104
- 137973127435104 backwards is 401534721379731
- 137973127435104 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137973127435104's digits is 57
- More coming soon!
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