138271521024

Names of 138271521024

• Cardinal: 138271521024 can be written as One hundred thirty-eight billion, two hundred seventy-one million, five hundred twenty-one thousand and twenty-four.

Scientific notation

• Scientific notation: 1.38271521024 × 10¹¹

Factors of 138271521024

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 381

Divisors of 138271521024

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 43 48 49 52 56 63 64 72 78 84 86 91 96 98 104 112 117 126 128 129 144 147 156 168 172 182 192 196 208 224 234 252 256 258 273 288 294 301 312 313 336 343 344 364 384 387 392 416 441 448 468 504 516 546 559 576 588 602 624 626 637 672 686 688 728 768 774 784 819 832 882 896 903 936 939 1008 1029 1032 1092 1118 1152 1176 1204 1248 1252 1274 1344 1372 1376 1456 1548 1568 1638 1664 1677 1764 1792 1806 1872 1878 1911 2016 2058 2064 2107 2184 2191 2236 2304 2352 2408 2496 2504 2548 2688 2709 2744 2752 2817 2912 3087 3096 3136 3276 3328 3354 3528 3612 3744 3756 3822 3913 4032 4069 4116 4128 4214 4368 4382 4459 4472 4704 4816 4992 5008 5031 5096 5376 5418 5488 5504 5634 5733 5824 6174 6192 6272 6321 6552 6573 6708 7056 7224 7488 7512 7644 7826 8064 8138 8232 8256 8428 8736 8764 8918 8944 9408 9632 9984 10016 10062 10192 10836 10976 11008 11268 11466 11648 11739 12207 12348 12384 12544 12642 13104 13146 13377 13416 13459 14112 14448 14749 14976 15024 15288 15337 15652 16128 16276 16464 16512 16856 17472 17528 17836 17888 18816 18963 19264 19719 20032 20124 20384 21672 21952 22536 22932 23296 23478 24414 24696 24768 25284 26208 26292 26754 26832 26918 27391 28224 28483 28896 29498 29952 30048 30576 30674 31304 32552 32928 33024 33712 34944 35056 35217 35672 35776 36621 37632 37926 38528 39438 40064 40131 40248 40377 40768 43344 43904 44247 45072 45864 46011 46956 48828 49392 49536 50568 52416 52584 53508 53664 53836 54782 56448 56966 57792 58996 60096 61152 61348 62608 65104 65856 67424 69888 70112 70434 71344 71552 73242 75852 77056 78876 80128 80262 80496 80754 81536 82173 85449 86688 87808 88494 90144 91728 92022 93912 94213 97656 98784 99072 101136 104832 105168 107016 107328 107359 107672 109564 112896 113932 115584 117992 120192 121131 122304 122696 125216 130208 131712 132741 134848 138033 140224 140868 142688 143104 146484 151704 157752 160524 160992 161508 163072 164346 170898 173376 174967 176988 180288 183456 184044 187824 188426 191737 195312 197568 199381 202272 209664 210336 214032 214656 214718 215344 219128 227864 231168 235984 240384 242262 244608 245392 246519 250432 256347 260416 263424 265482 269696 276066 280448 281736 282639 285376 292968 303408 315504 321048 321984 322077 323016 328692 341796 346752 349934 353976 360576 366912 368088 375648 376852 383474 390624 395136 398762 404544 420672 428064 429312 429436 430688 438256 455728 471968 484524 489216 490784 493038 500864 512694 520832 524901 530964 539392 552132 560896 563472 565278 570752 575211 585936 598143 606816 631008 642096 643968 644154 646032 657384 659491 683592 693504 699868 707952 721152 733824 736176 751296 753704 766948 781248 790272 797524 809088 841344 847917 856128 858872 861376 876512 911456 943936 966231 969048 981568 986076 1001728 1025388 1041664 1049802 1061928 1104264 1126944 1130556 1141504 1150422 1171872 1196286 1213632 1224769 1262016 1284192 1287936 1288308 1292064 1314768 1318982 1367184 1395667 1399736 1415904 1467648 1472352 1502592 1507408 1533896 1562496 1574703 1595048 1618176 1682688 1695834 1712256 1717744 1722752 1725633 1753024 1794429 1822912 1887872 1932462 1938096 1963136 1972152 1978473 2050776 2099604 2123856 2208528 2253888 2261112 2300844 2343744 2392572 2427264 2449538 2524032 2568384 2576616 2584128 2629536 2637964 2734368 2791334 2799472 2831808 2944704 3005184 3014816 3067792 3124992 3149406 3190096 3391668 3424512 3435488 3445504 3451266 3506048 3588858 3645824 3674307 3775744 3864924 3876192 3926272 3944304 3956946 4101552 4187001 4199208 4247712 4417056 4507776 4522224 4601688 4616437 4687488 4785144 4854528 4899076 5048064 5136768 5153232 5168256 5259072 5275928 5468736 5582668 5598944 5663616 5889408 5935419 6029632 6135584 6298812 6380192 6783336 6870976 6902532 7012096 7177716 7291648 7348614 7729848 7752384 7888608 7913892 8203104 8374002 8398416 8495424 8573383 8834112 9015552 9044448 9203376 9232874 9374976 9570288 9798152 10273536 10306464 10336512 10518144 10551856 10937472 11022921 11165336 11197888 11327232 11778816 11870838 12059264 12271168 12561003 12597624 12760384 13566672 13741952 13805064 13849311 14355432 14697228 15459696 15504768 15777216 15827784 16406208 16748004 16796832 16990848 17146766 17668224 18088896 18406752 18465748 19140576 19596304 20612928 21036288 21103712 21874944 22045842 22330672 22395776 23741676 24118528 24542336 25122006 25195248 25520768 25720149 27133344 27483904 27610128 27698622 28710864 29394456 30919392 31009536 31554432 31655568 32812416 33496008 33593664 33981696 34293532 35336448 36177792 36813504 36931496 38281152 39192608 41225856 41547933 42207424 44091684 44661344 44791552 47483352 49084672 50244012 50390496 51041536 51440298 54266688 55220256 55397244 57421728 58788912 60013681 61838784 63108864 63311136 65624832 66992016 67187328 68587064 72355584 73627008 73862992 76562304 77160447 78385216 82451712 83095866 84414848 88183368 89322688 94966704 100488024 100780992 102880596 108533376 110440512 110794488 114843456 117577824 120027362 123677568 126622272 133984032 134374656 137174128 147254016 147725984 153124608 154320894 156770432 166191732 168829696 176366736 178645376 180041043 189933408 200976048 201561984 205761192 217066752 220881024 221588976 229686912 235155648 240054724 247355136 253244544 267968064 274348256 295451968 308641788 313540864 332383464 352733472 357290752 360082086 379866816 401952096 403123968 411522384 441762048 443177952 459373824 470311296 480109448 506489088 535936128 540123129 548696512 590903936 617283576 664766928 705466944 720164172 759733632 803904192 823044768 886355904 940622592 960218896 1071872256 1080246258 1097393024 1181807872 1234567152 1329533856 1410933888 1440328344 1519467264 1607808384 1646089536 1772711808 1920437792 2160492516 2194786048 2469134304 2659067712 2821867776 2880656688 3215616768 3292179072 3545423616 3840875584 4320985032 4938268608 5318135424 5761313376 6584358144 7681751168 8641970064 9876537216 10636270848 11522626752 15363502336 17283940128 19753074432 23045253504 34567880256 46090507008 69135760512 138271521024
• Sum of all divisors σ(n): 513966252800
• Sum of proper divisors (its aliquot sum) s(n): 375694731776
• 138271521024 is an abundant number, because the sum of its proper divisors (375694731776) is greater than itself. Its abundance is 237423210752

Bases of 138271521024

• Binary: 10000000110001100111111111100100000000₂
• Hexadecimal: 0x20319FF900
• Base-36: 1RIRAKG0

Squares and roots of 138271521024

• 138271521024 squared (138271521024²) is 19119013526290474008576
• 138271521024 cubed (138271521024³) is 2643615080758613653607741940301824
• The square root of 138271521024 is 371848.7878479639
• The cube root of 138271521024 is 5171.0362238235

Scales and comparisons

• 138,271,521,024 seconds is equal to 4,396 years, 31 weeks, 3 days, 19 hours, 50 minutes, 24 seconds.
• To count from 1 to 138,271,521,024 would take you about eight thousand, seven hundred ninety-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 138271521024 cubic inches would be around 430.9 feet tall.

Recreational maths with 138271521024

• 138271521024 backwards is 420125172831
• 138271521024 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138271521024's digits is 36
• More coming soon!