137938150744326
137,938,150,744,326 is an even composite number composed of five prime numbers multiplied together.
137938150744326 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 137938150744326:
2 × 36 × 193 × 313 × 463
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 19 × 31 × 31 × 31 × 463)See below for interesting mathematical facts about the number 137938150744326 from the Numbermatics database.
Names of 137938150744326
- Cardinal: 137938150744326 can be written as One hundred thirty-seven trillion, nine hundred thirty-eight billion, one hundred fifty million, seven hundred forty-four thousand, three hundred twenty-six.
Scientific notation
- Scientific notation: 1.37938150744326 × 1014
Factors of 137938150744326
Divisors of 137938150744326
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 6 9 18 19 27 31 38 54 57 62 81 93 114 162 171 186 243 279 342 361 463 486 513 558 589 722 729 837 926 961 1026 1083 1178 1389 1458 1539 1674 1767 1922 2166 2511 2778 2883 3078 3249 3534 4167 4617 5022 5301 5766 6498 6859 7533 8334 8649 8797 9234 9747 10602 11191 12501 13718 13851 14353 15066 15903 17298 17594 18259 19494 20577 22382 22599 25002 25947 26391 27702 28706 29241 29791 31806 33573 36518 37503 41154 43059 45198 47709 51894 52782 54777 58482 59582 61731 67146 75006 77841 79173 86118 87723 89373 95418 100719 109554 112509 123462 129177 143127 155682 158346 164331 167143 175446 178746 185193 201438 212629 225018 233523 237519 258354 263169 268119 272707 286254 302157 328662 334286 337527 346921 370386 387531 425258 429381 444943 467046 475038 492993 501429 526338 536238 545414 555579 566029 604314 637887 675054 693842 700569 712557 775062 804357 818121 858762 889886 906471 985986 1002858 1040763 1111158 1132058 1162593 1275774 1334829 1401138 1425114 1478979 1504287 1608714 1636242 1666737 1698087 1812942 1913661 2081526 2137671 2325186 2413071 2454363 2669658 2719413 2957958 3008574 3122289 3175717 3333474 3396174 3487779 3827322 4004487 4275342 4436937 4512861 4826142 4908726 5000211 5094261 5181433 5438826 5740983 6244578 6351434 6413013 6591499 6975558 7239213 7363089 8008974 8158239 8453917 8873874 9025722 9366867 9527151 10000422 10188522 10362866 10463337 10754551 11481966 12013461 12826026 13182998 13310811 13538583 13793233 14478426 14726178 15282783 15544299 16316478 16907834 17222949 18733734 19054302 19774497 20926674 21509102 21717639 22089267 24026922 25361751 26621622 27077166 27586466 28100601 28581453 30565566 31088598 32263653 34445898 36040383 39548994 40615749 41379699 43435278 44178534 45848349 46632897 50723502 51668847 56201202 57162906 59323491 64527306 66267801 72080766 76085253 81231498 82759398 84301803 85744359 91696698 93265794 96790959 98447227 103337694 108121149 118646982 121847247 124139097 132535602 137545047 139898691 152170506 155006541 160624423 168603606 171488718 177970473 193581918 196894454 198803403 204336469 216242298 228255759 243694494 248278194 252905409 257233077 262071427 275090094 279797382 290372877 295341681 310013082 321248846 324363447 355940946 372417291 397606806 408672938 412635141 419696073 456511518 481873269 505810818 514466154 524142854 533911419 580745754 590683362 613009407 648726894 684767277 744834582 771699231 786214281 825270282 839392146 871118631 886025043 963746538 1067822838 1117251873 1226018814 1259088219 1369534554 1445619807 1543398462 1572428562 1601734257 1742237262 1772050086 1839028221 2054301831 2234503746 2315097693 2358642843 2518176438 2613355893 2658075129 2891239614 3051864037 3203468514 3351755619 3678056442 3777264657 4108603662 4336859421 4630195386 4717285686 4805202771 4979357113 5226711786 5316150258 5517084663 6103728074 6162905493 6703511238 7075928529 7554529314 7840067679 7974225387 8673718842 9155592111 9610405542 9958714226 10055266857 11034169326 12325810986 13010578263 14151857058 14938071339 15680135358 15948450774 16551253989 18311184222 20110533714 21227785587 23922676161 26021156526 27466776333 29876142678 33102507978 39031734789 42455571174 44814214017 47845352322 49653761967 54933552666 63683356761 71768028483 78063469578 82400328999 89628428034 94607785147 99307523934 117095204367 127366713522 134442642051 143536056966 148961285901 164800657998 189215570294 191050070283 234190408734 247200986997 268885284102 283823355441 297922571802 382100140566 403327926153 494401973994 567646710882 741602960991 806655852306 851470066323 1209983778459 1483205921982 1702940132646 2224808882973 2419967556918 2554410198969 3629951335377 4449617765946 5108820397938 7259902670754 7663230596907 15326461193814 22989691790721 45979383581442 68969075372163 137938150744326
- Sum of all divisors σ(n): 339096270888960
- Sum of proper divisors (its aliquot sum) s(n): 201158120144634
- 137938150744326 is an abundant number, because the sum of its proper divisors (201158120144634) is greater than itself. Its abundance is 63219969400308
Bases of 137938150744326
- Binary: 111110101110100001110100111100111100001000001102
- Hexadecimal: 0x7D743A79E106
- Base-36: 1CW7WTHUDI
Squares and roots of 137938150744326
- 137938150744326 squared (1379381507443262) is 19026933430764403427821194276
- 137938150744326 cubed (1379381507443263) is 2624540011775036147474459415038467650677976
-
The
square root of 137938150744326 is 11744707.3503057537 -
The
cube root of 137938150744326 is 51668.7711946399
Scales and comparisons
How big is 137938150744326?- 137,938,150,744,326 seconds is equal to 4,386,006 years, 27 weeks, 1 day, 8 hours, 32 minutes, 6 seconds.
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To count from 1 to 137,938,150,744,326 would take you about ten million, nine hundred sixty-five thousand and sixteen 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 137938150744326 cubic inches would be around 4305.7 feet tall.
Recreational maths with 137938150744326
- 137938150744326 backwards is 623447051839731
- The number of decimal digits it has is: 15
- The sum of 137938150744326's digits is 63
- More coming soon!
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