137365145952768

Names of 137365145952768

• Cardinal: 137365145952768 can be written as One hundred thirty-seven trillion, three hundred sixty-five billion, one hundred forty-five million, nine hundred fifty-two thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37365145952768 × 10¹⁴

Factors of 137365145952768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 36796

Divisors of 137365145952768

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 53 64 68 72 96 102 106 128 136 144 153 159 192 204 212 256 272 288 289 306 318 384 408 424 477 512 544 576 578 612 636 768 816 848 867 901 954 1088 1152 1156 1224 1272 1536 1632 1696 1734 1802 1908 2176 2304 2312 2448 2544 2601 2703 2809 3264 3392 3468 3604 3816 4352 4608 4624 4896 5088 5202 5406 5618 6528 6784 6936 7208 7632 8109 8427 8704 9248 9792 10176 10404 10812 11236 13056 13568 13872 14416 15264 15317 16218 16854 18496 19584 20352 20808 21624 22472 25281 26112 27136 27744 28832 30528 30634 32436 33708 36721 36992 39168 40704 41616 43248 44944 45951 47753 50562 55488 57664 61056 61268 64872 67416 73442 73984 78336 81408 83232 86496 89888 91902 95506 101124 110163 110976 115328 122112 122536 129744 134832 137853 143259 146884 147968 166464 172992 179776 183804 191012 202248 220326 221952 230656 244224 245072 259488 269664 275706 286518 293768 330489 332928 345984 359552 367608 382024 404496 429777 440652 443904 461312 490144 518976 539328 551412 573036 587536 624257 660978 665856 691968 719104 735216 764048 808992 811801 859554 881304 980288 1037952 1078656 1102824 1146072 1175072 1248514 1321956 1331712 1383936 1438208 1470432 1528096 1617984 1623602 1719108 1762608 1872771 1946213 1960576 2075904 2157312 2205648 2292144 2350144 2435403 2497028 2643912 2940864 3056192 3235968 3247204 3438216 3525216 3745542 3892426 3921152 4151808 4314624 4411296 4584288 4700288 4870806 4994056 5287824 5618313 5838639 5881728 6112384 6471936 6494408 6876432 7050432 7306209 7491084 7784852 7842304 8822592 9168576 9400576 9741612 9988112 10575648 10612369 11236626 11677278 11763456 12224768 12943872 12988816 13752864 14100864 14612418 14982168 15569704 17515917 17645184 18337152 18801152 19483224 19976224 21151296 21224738 22473252 23354556 23526912 24449536 25977632 27505728 28201728 29224836 29964336 31139408 31837107 33085621 35031834 35290368 36674304 38966448 39952448 42302592 42449476 44946504 46709112 51955264 55011456 56403456 58449672 59928672 62278816 63674214 66171242 70063668 70580736 73348608 77932896 79904896 84605184 84898952 89893008 93418224 95511321 99256863 103149289 103910528 110022912 116899344 119857344 124557632 127348428 132342484 140127336 155865792 159809792 169210368 169797904 179786016 186836448 191022642 198513726 206298578 207821056 220045824 233798688 239714688 249115264 254696856 264684968 280254672 297770589 309447867 311731584 319619584 339595808 359572032 373672896 382045284 397027452 412597156 415642112 467597376 479429376 498230528 509393712 529369936 560509344 562455557 595541178 618895734 623463168 679191616 719144064 747345792 764090568 794054904 825194312 928343601 935194752 958858752 996461056 1018787424 1058739872 1121018688 1124911114 1191082356 1237791468 1246926336 1358383232 1438288128 1494691584 1528181136 1588109808 1650388624 1687366671 1753537913 1856687202 1870389504 2037574848 2117479744 2242037376 2249822228 2382164712 2475582936 2716766464 2876576256 2989383168 3056362272 3176219616 3300777248 3374733342 3507075826 3713374404 3740779008 4075149696 4234959488 4484074752 4499644456 4764329424 4951165872 5062100013 5260613739 5433532928 6112724544 6352439232 6601554496 6749466684 7014151652 7426748808 8150299392 8469918976 8968149504 8999288912 9528658848 9902331744 10124200026 10521227478 12225449088 12704878464 13203108992 13498933368 14028303304 14853497616 15781841217 16300598784 16939837952 17998577824 19057317696 19804663488 20248400052 21042454956 24450898176 25409756928 26406217984 26997866736 28056606608 29706995232 29810144521 31563682434 35997155648 38114635392 39609326976 40496800104 42084909912 48901796352 50819513856 52812435968 53995733472 56113213216 59413990464 59620289042 63127364868 71994311296 76229270784 79218653952 80993600208 84169819824 89430433563 107991466944 112226426432 118827980928 119240578084 126254729736 143988622592 152458541568 158437307904 161987200416 168339639648 178860867126 215982933888 224452852864 237655961856 238481156168 252509459472 268291300689 287977245184 323974400832 336679279296 357721734252 431965867776 448905705728 475311923712 476962312336 505018918944 536582601378 647948801664 673358558592 715443468504 863931735552 897811411456 953924624672 1010037837888 1073165202756 1295897603328 1346717117184 1430886937008 1907849249344 2020075675776 2146330405512 2591795206656 2693434234368 2861773874016 3815698498688 4040151351552 4292660811024 5723547748032 7631396997376 8080302703104 8585321622048 11447095496064 15262793994752 17170643244096 22894190992128 34341286488192 45788381984256 68682572976384 137365145952768
• Sum of all divisors σ(n): 429244793175198
• Sum of proper divisors (its aliquot sum) s(n): 291879647222430
• 137365145952768 is an abundant number, because the sum of its proper divisors (291879647222430) is greater than itself. Its abundance is 154514501269662

Bases of 137365145952768

• Binary: 11111001110111011010000101110101010001000000000₂
• Hexadecimal: 0x7CEED0BAA200
• Base-36: 1COWOD8JK0

Squares and roots of 137365145952768

• 137365145952768 squared (137365145952768²) is 18869183322625254850486861824
• 137365145952768 cubed (137365145952768³) is 2591968121121953969130099908437390846328832
• The square root of 137365145952768 is 11720287.7930863115
• The cube root of 137365145952768 is 51597.1266593991

Scales and comparisons

• 137,365,145,952,768 seconds is equal to 4,367,786 years, 38 weeks, 4 days, 10 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,365,145,952,768 would take you about ten million, nine hundred nineteen thousand, four hundred sixty-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 137365145952768 cubic inches would be around 4299.8 feet tall.

Recreational maths with 137365145952768

• 137365145952768 backwards is 867259541563731
• 137365145952768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137365145952768's digits is 72
• More coming soon!