138523962630144

Names of 138523962630144

• Cardinal: 138523962630144 can be written as One hundred thirty-eight trillion, five hundred twenty-three billion, nine hundred sixty-two million, six hundred thirty thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.38523962630144 × 10¹⁴

Factors of 138523962630144

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 548281

Divisors of 138523962630144

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 113 128 156 168 182 192 208 224 226 256 273 312 336 339 364 384 416 448 452 512 546 624 672 678 728 768 791 832 896 904 1024 1092 1248 1344 1356 1456 1469 1536 1582 1664 1792 1808 2048 2184 2373 2496 2688 2712 2912 2938 3072 3164 3328 3584 3616 4096 4368 4407 4746 4992 5376 5424 5824 5876 6144 6328 6656 7168 7232 8192 8736 8814 9492 9984 10283 10752 10848 11648 11752 12288 12656 13312 14336 14464 17472 17628 18984 19968 20566 21504 21696 23296 23504 24576 25312 26624 28672 28928 30849 34944 35256 37968 39936 41132 43008 43392 46592 47008 50624 53248 57344 57856 61698 69888 70512 75936 79872 82264 86016 86784 93184 94016 101248 106496 115712 123396 139776 141024 151872 159744 164528 172032 173568 186368 188032 202496 231424 246792 279552 282048 303744 319488 329056 347136 372736 376064 404992 462848 493584 548143 559104 564096 607488 658112 694272 745472 752128 809984 925696 987168 1096286 1118208 1128192 1214976 1316224 1388544 1504256 1619968 1644429 1974336 2192572 2236416 2256384 2429952 2632448 2777088 3008512 3239936 3288858 3837001 3948672 4385144 4512768 4859904 5264896 6017024 6479872 6577716 7125859 7674002 7897344 8770288 9025536 9719808 10529792 11511003 12034048 13155432 14251718 15348004 15794688 17540576 18051072 19439616 21059584 21377577 23022006 26310864 28503436 30696008 31589376 35081152 36102144 42119168 42755154 46044012 49881013 52621728 57006872 61392016 61940159 63178752 70162304 84238336 85510308 92088024 99762026 105243456 114013744 122784032 123880318 126357504 140324608 149643039 171020616 184176048 185820477 199524052 210486912 228027488 245568064 247760636 252715008 280649216 299286078 342041232 368352096 371640954 399048104 420973824 433581113 456054976 491136128 495521272 561298432 598572156 684082464 736704192 743281908 798096208 805222067 841947648 867162226 912109952 982272256 991042544 1122596864 1197144312 1300743339 1368164928 1473408384 1486563816 1596192416 1610444134 1683895296 1734324452 1824219904 1964544512 1982085088 2245193728 2394288624 2415666201 2601486678 2736329856 2946816768 2973127632 3192384832 3220888268 3367790592 3468648904 3648439808 3929089024 3964170176 4490387456 4788577248 4831332402 5202973356 5472659712 5636554469 5893633536 5946255264 6384769664 6441776536 6735581184 6937297808 7296879616 7858178048 7928340352 9577154496 9662664804 10405946712 10945319424 11273108938 11787267072 11892510528 12769539328 12883553072 13471162368 13874595616 14593759232 15716356096 15856680704 16909663407 19154308992 19325329608 20811893424 21890638848 22546217876 23574534144 23785021056 25539078656 25767106144 27749191232 29187518464 31432712192 31713361408 33819326814 38308617984 38650659216 41623786848 43781277696 45092435752 47149068288 47570042112 51078157312 51534212288 55498382464 58375036928 63426722816 67638653628 76617235968 77301318432 83247573696 87562555392 90184871504 94298136576 95140084224 102156314624 103068424576 110996764928 126853445632 135277307256 153234471936 154602636864 166495147392 175125110784 180369743008 190280168448 204312629248 206136849152 221993529856 253706891264 270554614512 306468943872 309205273728 332990294784 360739486016 380560336896 408625258496 412273698304 443987059712 507413782528 541109229024 612937887744 618410547456 665980589568 721478972032 761120673792 824547396608 887974119424 1082218458048 1225875775488 1236821094912 1331961179136 1442957944064 1522241347584 1649094793216 1775948238848 2164436916096 2473642189824 2663922358272 2885915888128 3298189586432 3551896477696 4328873832192 4947284379648 5327844716544 5771831776256 6596379172864 8657747664384 9894568759296 10655689433088 11543663552512 17315495328768 19789137518592 23087327105024 34630990657536 46174654210048 69261981315072 138523962630144
• Sum of all divisors σ(n): 458638978258944
• Sum of proper divisors (its aliquot sum) s(n): 320115015628800
• 138523962630144 is an abundant number, because the sum of its proper divisors (320115015628800) is greater than itself. Its abundance is 181591052998656

Bases of 138523962630144

• Binary: 11111011111110010011111100101011110000000000000₂
• Hexadecimal: 0x7DFC9F95E000
• Base-36: 1D3P12RMDC

Squares and roots of 138523962630144

• 138523962630144 squared (138523962630144²) is 19188888222757531418137460736
• 138523962630144 cubed (138523962630144³) is 2658120835083274597621201599720968090025984
• The square root of 138523962630144 is 11769620.3265077331
• The cube root of 138523962630144 is 51741.8122209341

Scales and comparisons

• 138,523,962,630,144 seconds is equal to 4,404,633 years, 27 weeks, 3 days, 12 hours, 22 minutes, 24 seconds.
• To count from 1 to 138,523,962,630,144 would take you about eleven million, eleven thousand, five hundred eighty-three 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 138523962630144 cubic inches would be around 4311.8 feet tall.

Recreational maths with 138523962630144

• 138523962630144 backwards is 441036269325831
• The number of decimal digits it has is: 15
• The sum of 138523962630144's digits is 57
• More coming soon!