138374254896240

Names of 138374254896240

• Cardinal: 138374254896240 can be written as One hundred thirty-eight trillion, three hundred seventy-four billion, two hundred fifty-four million, eight hundred ninety-six thousand, two hundred forty.

Scientific notation

• Scientific notation: 1.3837425489624 × 10¹⁴

Factors of 138374254896240

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 37208

Divisors of 138374254896240

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 121 132 136 165 170 176 187 204 220 240 242 255 264 272 289 330 340 363 374 408 440 449 484 510 528 561 578 605 660 680 726 748 816 867 880 898 935 968 1020 1122 1156 1210 1320 1347 1360 1445 1452 1496 1734 1796 1815 1870 1936 2040 2057 2244 2245 2312 2420 2640 2694 2805 2890 2904 2992 3179 3468 3592 3630 3740 4080 4114 4335 4488 4490 4624 4840 4939 5388 5610 5780 5808 6171 6358 6735 6936 7184 7260 7480 7633 8228 8670 8976 8980 9537 9680 9878 10285 10776 11220 11560 12342 12716 13470 13872 14520 14817 14960 15266 15895 16456 17340 17960 19074 19756 20570 21552 22440 22899 23120 24684 24695 25432 26940 29040 29634 30532 30855 31790 32912 34680 34969 35920 36721 38148 38165 39512 41140 44880 45798 47685 49368 49390 50864 53880 54329 59268 61064 61710 63580 69360 69938 73442 74085 76296 76330 79024 82280 83963 91596 95370 98736 98780 104907 107760 108658 110163 114495 118536 122128 123420 127160 129761 139876 146884 148170 152592 152660 162987 164560 167926 174845 183192 183605 190740 197560 209814 217316 220326 228990 237072 246840 251889 254320 259522 271645 279752 293768 296340 305320 325974 335852 349690 366384 367210 381480 389283 395120 403931 419628 419815 434632 440652 457980 493680 503778 519044 524535 543290 550815 559504 587536 592680 610640 624257 648805 651948 671704 699380 734420 762960 778566 807862 814935 839256 839630 869264 881304 915960 923593 1007556 1038088 1049070 1086580 1101630 1185360 1211793 1248514 1259445 1297610 1303896 1343408 1398760 1427371 1468840 1557132 1615724 1629870 1678512 1679260 1762608 1831920 1847186 1872771 1946415 2015112 2019655 2076176 2098140 2173160 2203260 2423586 2497028 2518890 2595220 2607792 2770779 2797520 2854742 2937680 3114264 3121285 3231448 3259740 3358520 3694372 3745542 3892830 4030224 4039310 4196280 4282113 4346320 4406520 4443241 4617965 4847172 4994056 5037780 5190440 5541558 5709484 6058965 6228528 6242570 6462896 6519480 6717040 6866827 7136855 7388744 7491084 7785660 8078620 8392560 8564226 8813040 8886482 9235930 9363855 9694344 9988112 10075560 10380880 10612369 11083116 11418968 12117930 12485140 13038960 13329723 13733654 13853895 14273710 14777488 14982168 15571320 15701081 16157240 16487729 17128452 17772964 18471860 18727710 19388688 20151120 20600481 21224738 21410565 22166232 22216205 22837936 24235860 24970280 26659446 27467308 27707790 28547420 29964336 31142640 31402162 31837107 32314480 32975458 34256904 34334135 35545928 36943720 37455420 41200962 42449476 42821130 44332464 44432410 47103243 48471720 49463187 49940560 53061845 53318892 54934616 55415580 57094840 62804324 63674214 65950916 66648615 68513808 68668270 71091856 73887440 74910840 75535097 78505405 82401924 82438645 84898952 85642260 88864820 94206486 96943440 98926374 103002405 106123690 106637784 109869232 110831160 114189680 116736059 125608648 127348428 131901832 133297230 137336540 149821680 151070194 157010810 159185535 164803848 164877290 169797904 171284520 177729640 181365019 188412972 197852748 206004810 212247380 213275568 221662320 226605291 233472118 235516215 247315935 251217296 254696856 263803664 266594460 274673080 280291393 302140388 314021620 318371070 329607696 329754580 342569040 350208177 355459280 362730038 376825944 377675485 395705496 412009620 424494760 453210582 466944236 471032430 494631870 509393712 533188920 544095057 549346160 560582786 583680295 604280776 628043240 636742140 659509160 700416354 725460076 753651888 755350970 791410992 824019240 840874179 848989520 906421164 906825095 933888472 942064860 989263740 1066377840 1088190114 1121165572 1133026455 1167360590 1208561552 1256086480 1273484280 1284096649 1319018320 1400832708 1401456965 1450920152 1510701940 1648038480 1681748358 1751040885 1812842328 1813650190 1867776944 1884129720 1978527480 1995015209 2176380228 2242331144 2266052910 2334721180 2546968560 2568193298 2720475285 2801665416 2802913930 2901840304 3021403880 3083205323 3363496716 3502081770 3625684656 3627300380 3768259440 3852289947 3957054960 3990030418 4204370895 4352760456 4484662288 4532105820 4669442360 4764953681 5136386596 5440950570 5603330832 5605827860 5985045627 6042807760 6166410646 6420483245 6726993432 7004163540 7254600760 7704579894 7980060836 8408741790 8705520912 9064211640 9249615969 9338884720 9529907362 9975076045 10272773192 10881901140 11211655720 11970091254 12332821292 12840966490 13453986864 14008327080 14294861043 14509201520 15409159788 15416026615 15960121672 16817483580 18128423280 18499231938 19059814724 19261449735 19950152090 20545546384 21763802280 22423311440 23824768405 23940182508 24665642584 25681932980 28016654160 28589722086 29925228135 30818319576 30832053230 31920243344 33634967160 33915258553 36998463876 38119629448 38522899470 39900304180 43527604560 46248079845 47649536810 47880365016 49331285168 51363865960 52414490491 57179444172 59850456270 61636639152 61664106460 67269934320 67830517106 71474305215 73996927752 76239258896 77045798940 79800608360 92496159690 95299073620 95760730032 101745775659 102727731920 104828980982 114358888344 119700912540 123328212920 135661034212 142948610430 147993855504 154091597880 157243471473 159601216720 169576292765 184992319380 190598147240 203491551318 209657961964 228717776688 239401825080 246656425840 262072452455 271322068424 285897220860 308183195760 314486942946 339152585530 369984638760 381196294480 406983102636 419315923928 478803650160 508728878295 524144904910 542644136848 571794441720 576559395401 628973885892 678305171060 739969277520 786217357365 813966205272 838631847856 1017457756590 1048289809820 1143588883440 1153118790802 1257947771784 1356610342120 1572434714730 1627932410544 1729678186203 2034915513180 2096579619640 2306237581604 2515895543568 2713220684240 2882796977005 3144869429460 3459356372406 4069831026360 4193159239280 4612475163208 5765593954010 6289738858920 6918712744812 8139662052720 8648390931015 9224950326416 11531187908020 12579477717840 13837425489624 17296781862030 23062375816040 27674850979248 34593563724060 46124751632080 69187127448120 138374254896240
• Sum of all divisors σ(n): 501997774773600
• Sum of proper divisors (its aliquot sum) s(n): 363623519877360
• 138374254896240 is an abundant number, because the sum of its proper divisors (363623519877360) is greater than itself. Its abundance is 225249264981120

Bases of 138374254896240

• Binary: 11111011101100111000100010011110010010001110000₂
• Hexadecimal: 0x7DD9C44F2470
• Base-36: 1D1S96NBLC

Squares and roots of 138374254896240

• 138374254896240 squared (138374254896240²) is 19147434418089599613166137600
• 138374254896240 cubed (138374254896240³) is 2649511970777769074499175625765369562624000
• The square root of 138374254896240 is 11763258.6852555445
• The cube root of 138374254896240 is 51723.1657680087

Scales and comparisons

• 138,374,254,896,240 seconds is equal to 4,399,873 years, 14 weeks, 6 days, 2 hours, 44 minutes.
• To count from 1 to 138,374,254,896,240 would take you about ten million, nine hundred ninety-nine thousand, six 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 138374254896240 cubic inches would be around 4310.3 feet tall.

Recreational maths with 138374254896240

• 138374254896240 backwards is 042698452473831
• 138374254896240 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138374254896240's digits is 66
• More coming soon!