137456853214686512

Names of 137456853214686512

• Cardinal: 137456853214686512 can be written as One hundred thirty-seven quadrillion, four hundred fifty-six trillion, eight hundred fifty-three billion, two hundred fourteen million, six hundred eighty-six thousand, five hundred twelve.

Scientific notation

• Scientific notation: 1.37456853214686512 × 10¹⁷

Factors of 137456853214686512

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 463

Divisors of 137456853214686512

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 4 8 13 16 17 26 34 52 68 104 136 169 208 221 272 289 338 431 442 578 676 862 884 1156 1352 1724 1768 2197 2312 2704 2873 3448 3536 3757 4394 4624 5603 5746 6896 7327 7514 8788 11206 11492 14654 15028 17576 22412 22984 28561 29308 30056 35152 37349 44824 45968 48841 57122 58616 60112 72839 74698 89648 95251 97682 114244 117232 124559 145678 149396 185761 190502 195364 228488 249118 291356 298792 371293 371522 381004 390728 456976 485537 498236 582712 597584 634933 742586 743044 762008 781456 946907 971074 996472 1165424 1238263 1269866 1485172 1486088 1524016 1619267 1893814 1942148 1992944 2414893 2476526 2539732 2970344 2972176 3157937 3238534 3787628 3884296 4829786 4953052 5079464 5940688 6311981 6315874 6477068 7575256 7768592 8254129 9659572 9906104 10158928 12309791 12623962 12631748 12954136 15150512 16097419 16508258 19319144 19812208 21050471 24619582 25247924 25263496 25908272 31393609 32194838 33016516 38638288 41053181 42100942 49239164 50495848 50526992 53684929 62787218 64389676 66033032 80062991 82106362 84201884 98478328 100991696 107303677 107369858 125574436 128779352 132066064 160027283 160125982 164212724 168403768 196956656 209266447 214607354 214739716 251148872 257558704 273656123 320054566 320251964 328425448 336807536 408116917 418532894 429214708 429479432 502297744 533691353 547312246 640109132 640503928 656850896 697904077 816233834 837065788 858429416 858958864 1040818883 1067382706 1094624492 1280218264 1281007856 1361070847 1395808154 1632467668 1674131576 1716858832 2081637766 2134765412 2189248984 2560436528 2720463811 2722141694 2791616308 3264935336 3348263152 3557529599 4163275532 4269530824 4378497968 5305519921 5440927622 5444283388 5583232616 6529870672 6937987589 7115059198 8326551064 8539061648 9072753001 10611039842 10881855244 10888566776 11166465232 13530645479 13875975178 14230118396 16653102128 17693921011 18145506002 21222079684 21763710488 21777133552 23138204399 27061290958 27751950356 28460236792 35387842022 36291012004 42444159368 43527420976 46247884787 46276408798 54122581916 55503900712 56920473584 68971758973 70775684044 72582024008 84888318736 90193838657 92495769574 92552817596 108245163832 111007801424 117945789013 137943517946 141551368088 145164048016 175898391227 180387677314 184991539148 185105635192 216490327664 230020973143 235891578026 275887035892 283102736176 300796657187 351796782454 360775354628 369983078296 370211270384 460041946286 471783156052 551774071784 601593314374 703593564908 721550709256 739966156592 920083892572 943566312104 1103548143568 1172519902541 1203186628748 1407187129816 1443101418512 1533295257169 1840167785144 1887132624208 2286679085951 2345039805082 2406373257496 2814374259632 2990272650859 3066590514338 3680335570288 3910356543431 4573358171902 4690079610164 4812746514992 5980545301718 6133181028676 7820713086862 9146716343804 9380159220328 11961090603436 12266362057352 15641426173724 18293432687608 18760318440656 19932838343197 23922181206872 24532724114704 29726828117363 31282852347448 36586865375216 38873544461167 39865676686394 47844362413744 50834635064603 59453656234726 62565704694896 77747088922334 79731353372788 101669270129206 118907312469452 155494177844668 159462706745576 203338540258412 237814624938904 310988355689336 318925413491152 406677080516824 475629249877808 505356077995171 621976711378672 660850255839839 813354161033648 1010712155990342 1321700511679678 2021424311980684 2643401023359356 4042848623961368 5286802046718712 8085697247922736 8591053325917907 10573604093437424 17182106651835814 34364213303671628 68728426607343256 137456853214686512
• Sum of all divisors σ(n): 307198769786741952
• Sum of proper divisors (its aliquot sum) s(n): 169741916572055440
• 137456853214686512 is an abundant number, because the sum of its proper divisors (169741916572055440) is greater than itself. Its abundance is 32285063357368928

Bases of 137456853214686512

• Binary: 111101000010110000100011110011011110011011110110100110000₂
• Hexadecimal: 0x1E858479BCDED30
• Base-36: 11LGDYM58V8W

Squares and roots of 137456853214686512

• 137456853214686512 squared (137456853214686512²) is 18894386495683873688223770434726144
• 137456853214686512 cubed (137456853214686512³) is 2597162911118773293171016540525234421184911530569728
• The square root of 137456853214686512 is 370751740.6765428957
• The cube root of 137456853214686512 is 516086.0647244273

Scales and comparisons

• 137,456,853,214,686,512 seconds is equal to 4,370,702,750 years, 13 weeks, 4 days, 21 hours, 48 minutes, 32 seconds.
• To count from 1 to 137,456,853,214,686,512 would take you about thirteen billion, one hundred twelve million, one hundred eight thousand, two hundred fifty 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 137456853214686512 cubic inches would be around 43007.2 feet tall.

Recreational maths with 137456853214686512

• 137456853214686512 backwards is 215686412358654731
• The number of decimal digits it has is: 18
• The sum of 137456853214686512's digits is 77
• More coming soon!