138395120838801816

Names of 138395120838801816

• Cardinal: 138395120838801816 can be written as One hundred thirty-eight quadrillion, three hundred ninety-five trillion, one hundred twenty billion, eight hundred thirty-eight million, eight hundred one thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.38395120838801816 × 10¹⁷

Factors of 138395120838801816

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 71595

Divisors of 138395120838801816

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 121 132 148 222 242 264 296 363 407 444 484 701 726 814 888 968 1221 1369 1402 1452 1628 2103 2442 2738 2804 2904 3256 4107 4206 4477 4884 5476 5608 7711 8214 8412 8954 9768 10952 13431 15059 15422 16428 16824 17908 23133 25937 26862 30118 30844 32856 35816 45177 46266 51874 53724 60236 61688 70841 77811 84821 90354 92532 103748 107448 120472 141682 155622 165649 169642 180708 185064 207496 212523 254463 283364 285307 311244 331298 339284 361416 425046 491401 496947 508926 566728 570614 622488 662596 678568 779251 850092 855921 959669 982802 993894 1017852 1141228 1325192 1474203 1558502 1700184 1711842 1919338 1965604 1987788 2035704 2282456 2337753 2621117 2879007 2948406 3117004 3138377 3423684 3838676 3931208 3975576 4675506 5242234 5405411 5758014 5896812 6234008 6276754 6847368 7677352 7863351 8571761 9351012 9415131 10484468 10556359 10810822 11516028 11793624 12553508 15726702 16216233 17143522 18181837 18702024 18830262 20968936 21112718 21621644 23032056 25107016 25715283 28832287 31453404 31669077 32432466 34287044 36363674 37660524 42225436 43243288 49659541 51430566 54545511 57664574 59459521 62906808 63338154 64864932 68574088 72727348 75321048 84450872 86496861 96981329 99319082 102861132 109091022 115329148 116119949 118919042 126676308 129729864 145454696 148978623 172993722 178378563 193962658 198638164 200000207 205722264 218182044 230658296 232239898 237838084 253352616 290943987 297957246 317155157 345987444 348359847 356757126 387925316 397276328 400000414 436364088 464479796 475676168 546254951 581887974 595914492 600000621 634310314 672727969 691974888 696719694 713514252 775850632 800000828 928959592 951465471 1066794619 1092509902 1163775948 1191828984 1200001242 1268620628 1345455938 1393439388 1427028504 1600001656 1638764853 1837403017 1902930942 2018183907 2133589238 2185019804 2200002277 2327551896 2400002484 2537241256 2690911876 2786878776 3200383857 3277529706 3674806034 3805861884 4036367814 4267178476 4370039608 4400004554 4800004968 5381823752 5512209051 6008804461 6400767714 6555059412 6600006831 7349612068 7400007659 7611723768 8072735628 8534356952 8800009108 11024418102 11734740809 12017608922 12801535428 13110118824 13200013662 14699224136 14800015318 16145471256 17600018216 18026413383 20211433187 22048836204 22200022977 23469481618 24035217844 25603070856 26400027324 29600030636 34811338241 35204222427 36052826766 40422866374 44097672408 44400045954 46938963236 48070435688 52800054648 59200061272 60634299561 67983911629 69622676482 70408444854 72105653532 80845732748 81400084249 88800091908 93877926472 104434014723 121268599122 135967823258 139245352964 140816889708 144211307064 161691465496 162800168498 177600183816 203951734887 208868029446 222325765057 242537198244 244200252747 271935646516 278490705928 281633779416 325600336996 382924720651 407903469774 417736058892 444651530114 485074396488 488400505494 543871293032 651200673992 666977295171 747823027919 765849441302 815806939548 835472117784 889303060228 976801010988 1148774161953 1288019514917 1333954590342 1495646055838 1531698882604 1631613879096 1778606120456 1953602021976 2243469083757 2297548323906 2576039029834 2667909180684 2991292111676 3063397765208 3864058544751 4212171927161 4486938167514 4595096647812 5152078059668 5335818361368 5982584223352 7728117089502 8226053307109 8424343854322 8973876335028 9190193295624 10304156119336 12636515781483 14168214664087 15456234179004 16452106614218 16848687708644 17947752670056 24678159921327 25273031562966 28336429328174 30912468358008 32904213228436 33697375417288 42504643992261 47656722051929 49356319842654 50546063125932 56672858656348 65808426456872 85009287984522 95313444103858 98712639685308 101092126251864 113345717312696 142970166155787 155850361304957 170018575969044 190626888207716 197425279370616 285940332311574 311700722609914 340037151938088 381253776415432 467551083914871 524223942571219 571880664623148 623401445219828 935102167829742 1048447885142438 1143761329246296 1246802890439656 1572671827713657 1870204335659484 2096895770284876 3145343655427314 3740408671318968 4193791540569752 5766463368283409 6290687310854628 11532926736566818 12581374621709256 17299390104850227 23065853473133636 34598780209700454 46131706946267272 69197560419400908 138395120838801816
• Sum of all divisors σ(n): 391420723213026360
• Sum of proper divisors (its aliquot sum) s(n): 253025602374224544
• 138395120838801816 is an abundant number, because the sum of its proper divisors (253025602374224544) is greater than itself. Its abundance is 114630481535422728

Bases of 138395120838801816

• Binary: 111101011101011011010000100010000001111100111100110011000₂
• Hexadecimal: 0x1EBADA1103E7998
• Base-36: 11UOZ4T7AIZC

Squares and roots of 138395120838801816

• 138395120838801816 squared (138395120838801816²) is 19153209471986556666664326524897856
• 138395120838801816 cubed (138395120838801816³) is 2650710739326463035600534328717365520364010827306496
• The square root of 138395120838801816 is 372014947.0636923427
• The cube root of 138395120838801816 is 517257.6547694839

Scales and comparisons

• 138,395,120,838,801,816 seconds is equal to 4,400,536,758 years, 23 weeks, 5 days, 17 hours, 23 minutes, 36 seconds.
• To count from 1 to 138,395,120,838,801,816 would take you about thirteen billion, two hundred one million, six hundred ten thousand, two hundred seventy-five 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 138395120838801816 cubic inches would be around 43104.8 feet tall.

Recreational maths with 138395120838801816

• 138395120838801816 backwards is 618108838021593831
• The number of decimal digits it has is: 18
• The sum of 138395120838801816's digits is 75
• More coming soon!