138137907856848

Names of 138137907856848

• Cardinal: 138137907856848 can be written as One hundred thirty-eight trillion, one hundred thirty-seven billion, nine hundred seven million, eight hundred fifty-six thousand, eight hundred forty-eight.

Scientific notation

• Scientific notation: 1.38137907856848 × 10¹⁴

Factors of 138137907856848

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 163

Divisors of 138137907856848

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 8 12 16 19 23 24 37 38 46 48 57 69 74 76 79 92 111 114 138 148 152 158 184 222 228 237 276 296 304 316 361 368 437 444 456 474 552 592 632 703 722 851 874 888 912 948 1083 1104 1264 1311 1406 1444 1501 1702 1748 1776 1817 1896 2109 2166 2553 2622 2812 2888 2923 3002 3404 3496 3634 3792 4218 4332 4503 5106 5244 5451 5624 5776 5846 6004 6241 6808 6859 6992 7268 8303 8436 8664 8769 9006 10212 10488 10902 11248 11692 12008 12482 13357 13616 13718 14536 16169 16606 16872 17328 17538 18012 18723 20424 20577 20976 21804 23384 24016 24909 24964 26714 27436 28519 29072 32338 33212 33744 34523 35076 36024 37446 40071 40848 41154 43608 46768 48507 49818 49928 53428 54872 55537 57038 64676 66424 67229 69046 70152 72048 74892 80142 82308 85557 87216 97014 99636 99856 103569 106856 109744 111074 114076 118579 129352 132848 134458 138092 140304 143543 149784 157757 160284 164616 166611 171114 194028 199272 201687 207138 213712 222148 228152 230917 237158 253783 258704 268916 276184 287086 299568 307211 315514 320568 329232 333222 342228 355737 388056 398544 403374 414276 430629 444296 456304 461834 473271 474316 493039 507566 537832 541861 552368 574172 614422 631028 641136 655937 666444 684456 692751 711474 761349 776112 806748 828552 861258 888592 921633 923668 946542 948632 986078 1015132 1055203 1075664 1083722 1148344 1228844 1262056 1277351 1311874 1332888 1368912 1385502 1422948 1479117 1522698 1613496 1625583 1657104 1722516 1843266 1847336 1893084 1897264 1967811 1972156 2030264 2110406 2167444 2253001 2296688 2457688 2524112 2554702 2623748 2665776 2727317 2771004 2845896 2958234 3045396 3165609 3226992 3251166 3445032 3686532 3694672 3786168 3832053 3935622 3944312 4060528 4220812 4334888 4387423 4506002 4915376 5109404 5247496 5311091 5454634 5542008 5691792 5837009 5916468 6090792 6331218 6502332 6759003 6890064 7373064 7572336 7664106 7871244 7888624 8181951 8441624 8669776 8774846 9012004 9367741 10218808 10494992 10622182 10909268 11084016 11339897 11674018 11832936 12181584 12462803 12662436 13004664 13162269 13518006 14746128 15328212 15742488 15933273 16363902 16883248 17511027 17549692 18024008 18242443 18735482 20048857 20437616 21244364 21818536 22679794 23348036 23665872 24269669 24925606 25324872 26009328 26324538 27036012 28103223 30656424 31484976 31866546 32727804 34019691 35022054 35099384 36048016 36484886 37388409 37470964 40097714 42488728 42807019 43637072 45359588 46696072 48539338 49851212 50649744 51819023 52649076 54072024 54727329 56206446 60146571 61312848 63733092 65455608 68039382 70044108 70198768 72809007 72969772 74776818 74941928 80195428 83361037 84977456 85614038 90719176 93392144 97078676 99702424 100910729 103638046 105298152 108144048 109454658 112412892 120293142 127466184 128421057 130911216 136078764 140088216 145618014 145939544 149553636 149883856 155457069 160390856 166722074 171228076 177987079 181438352 194157352 199404848 201821458 207276092 210596304 215458043 218909316 224825784 240586284 250083111 254932368 256842114 272157528 280176432 291236028 291879088 299107272 302732187 310914138 320781712 333444148 342456152 346606417 355974158 388314704 403642916 414552184 419576189 430916086 437818632 449651568 461123711 481172568 500166222 513684228 533961237 544315056 582472056 598214544 605464374 621828276 646374129 666888296 684912304 693212834 711948316 807285832 829104368 839152378 861832172 875637264 922247422 962345136 984561437 1000332444 1027368456 1039819251 1067922474 1164944112 1210928748 1243656552 1258728567 1292748258 1333776592 1383371133 1386425668 1423896632 1583859703 1614571664 1678304756 1723664344 1844494844 1917303851 1969122874 2000664888 2054736912 2079638502 2135844948 2421857496 2487313104 2517457134 2585496516 2766742266 2772851336 2847793264 2953684311 3167719406 3356609512 3381754501 3447328688 3688989688 3834607702 3938245748 4001329776 4093702817 4159277004 4271689896 4751579109 4843714992 5034914268 5170993032 5533484532 5545702672 5751911553 5907368622 6335438812 6585521923 6713219024 6763509002 7377979376 7669215404 7876491496 7971947591 8187405634 8318554008 8543379792 9503158218 10069828536 10145263503 10341986064 11066969064 11503823106 11814737244 12281108451 12670877624 13171043846 13527018004 15338430808 15752982992 15943895182 16374811268 16637108016 19006316436 19756565769 20139657072 20290527006 22133938128 23007646212 23629474488 23915842773 24562216902 25341755248 26342087692 27054036008 30676861616 31887790364 32749622536 36428773169 38012632872 39513131538 40581054012 46015292424 47258948976 47831685546 49124433804 52684175384 54108072016 63775580728 65499245072 72857546338 76025265744 77780353523 79026263076 81162108024 92030584848 95663371092 98248867608 105368350768 109286319507 125124916537 127551161456 145715092676 151467004229 155560707046 158052526152 162324216048 191326742184 196497735216 218572639014 233341060569 250249833074 291430185352 302934008458 311121414092 316105052304 375374749611 382653484368 437145278028 454401012687 466682121138 500499666148 582860370704 605868016916 622242828184 750749499222 874290556056 908802025374 933364242276 1000999332296 1211736033832 1244485656368 1501498998444 1748581112112 1817604050748 1866728484552 2001998664592 2423472067664 2877873080351 3002997996888 3635208101496 3733456969104 5755746160702 6005995993776 7270416202992 8633619241053 11511492321404 17267238482106 23022984642808 34534476964212 46045969285616 69068953928424 138137907856848
• Sum of all divisors σ(n): 408854555443200
• Sum of proper divisors (its aliquot sum) s(n): 270716647586352
• 138137907856848 is an abundant number, because the sum of its proper divisors (270716647586352) is greater than itself. Its abundance is 132578739729504

Bases of 138137907856848

• Binary: 11111011010001010111100111011011000010111010000₂
• Hexadecimal: 0x7DA2BCED85D0
• Base-36: 1CYROFQ0UO

Squares and roots of 138137907856848

• 138137907856848 squared (138137907856848²) is 19082081587067028408460495104
• 138137907856848 cubed (138137907856848³) is 2635958827991121016769483043582865636872192
• The square root of 138137907856848 is 11753208.4069350187
• The cube root of 138137907856848 is 51693.7007886247

Scales and comparisons

• 138,137,907,856,848 seconds is equal to 4,392,358 years, 9 weeks, 2 days, 23 hours, 20 minutes, 48 seconds.
• To count from 1 to 138,137,907,856,848 would take you about ten million, nine hundred eighty thousand, eight hundred ninety-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 138137907856848 cubic inches would be around 4307.8 feet tall.

Recreational maths with 138137907856848

• 138137907856848 backwards is 848658709731831
• The number of decimal digits it has is: 15
• The sum of 138137907856848's digits is 78
• More coming soon!