138259340990400

Names of 138259340990400

• Cardinal: 138259340990400 can be written as One hundred thirty-eight trillion, two hundred fifty-nine billion, three hundred forty million, nine hundred ninety thousand, four hundred.

Scientific notation

• Scientific notation: 1.382593409904 × 10¹⁴

Factors of 138259340990400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1085686

Divisors of 138259340990400

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 50 51 56 60 64 68 70 75 80 84 85 96 100 102 105 112 119 120 136 140 150 160 168 170 175 192 200 204 210 223 224 238 240 255 272 280 300 320 336 340 350 357 400 408 420 425 446 448 476 480 510 525 544 560 595 600 669 672 680 700 714 800 816 840 850 892 952 960 1020 1050 1088 1115 1120 1190 1200 1275 1338 1344 1360 1400 1428 1561 1600 1632 1680 1700 1784 1785 1904 2040 2100 2230 2240 2380 2400 2550 2676 2720 2800 2856 2975 3122 3264 3345 3360 3400 3568 3570 3791 3808 4080 4200 4460 4683 4760 4800 5100 5352 5440 5575 5600 5712 5950 6244 6690 6720 6800 7136 7140 7582 7616 7805 8160 8400 8920 8925 9366 9520 10200 10704 11150 11200 11373 11424 11900 12488 13380 13600 14272 14280 15164 15610 16320 16725 16800 17840 17850 18732 18955 19040 20400 21408 22300 22746 22848 23415 23800 24976 26537 26760 27200 28560 30328 31220 33450 33600 35680 35700 37464 37910 38080 39025 40800 42816 44600 45492 46830 47600 49952 53074 53520 56865 57120 60656 62440 66900 71360 71400 74928 75820 78050 79611 81600 89200 90984 93660 94775 95200 99904 106148 107040 113730 114240 117075 121312 124880 132685 133800 142800 149856 151640 156100 159222 178400 181968 187320 189550 190400 212296 214080 227460 234150 242624 249760 265370 267600 284325 285600 299712 303280 312200 318444 356800 363936 374640 379100 398055 424592 454920 468300 499520 530740 535200 568650 571200 606560 624400 636888 663425 727872 749280 758200 796110 849184 909840 936600 1061480 1070400 1085429 1137300 1213120 1248800 1273776 1326850 1498560 1516400 1592220 1698368 1819680 1873200 1990275 2122960 2170858 2274600 2497600 2547552 2653700 3032800 3184440 3256287 3639360 3746400 3980550 4245920 4341716 4549200 5095104 5307400 5427145 6065600 6368880 6512574 7492800 7598003 7961100 8491840 8683432 9098400 10614800 10854290 12737760 13025148 15196006 15922200 16281435 17366864 18196800 18452293 21229600 21708580 22794009 25475520 26050296 27135725 30392012 31844400 32562870 34733728 36904586 37990015 42459200 43417160 45588018 52100592 54271450 55356879 60784024 63688800 65125740 69467456 73809172 75980030 81407175 86834320 91176036 92261465 104201184 108542900 110713758 113970045 121568048 127377600 129166051 130251480 147618344 151960060 162814350 173668640 182352072 184522930 189950075 208402368 217085800 221427516 227940090 242050667 243136096 258332102 260502960 276784395 295236688 303920120 325628700 347337280 364704144 369045860 379900150 387498153 434171600 442855032 455880180 461307325 484101334 486272192 516664204 521005920 553568790 569850225 590473376 607840240 645830255 651257400 726152001 729408288 738091720 759800300 774996306 868343200 885710064 911760360 922614650 968202668 1033328408 1042011840 1107137580 1139700450 1180946752 1210253335 1215680480 1291660510 1302514800 1383921975 1452304002 1458816576 1476183440 1519600600 1549992612 1694354669 1736686400 1771420128 1823520720 1845229300 1936405336 1937490765 2066656816 2214275160 2279400900 2420506670 2431360960 2583321020 2605029600 2767843950 2904608004 2952366880 3039201200 3099985224 3229151275 3388709338 3542840256 3630760005 3647041440 3690458600 3872810672 3874981530 4114861339 4133313632 4428550320 4558801800 4841013340 5083064007 5166642040 5210059200 5535687900 5809216008 5904733760 6051266675 6078402400 6199970448 6458302550 6777418676 7261520010 7294082880 7380917200 7745621344 7749963060 8229722678 8266627264 8471773345 8857100640 9117603600 9682026680 9687453825 10166128014 10333284080 11071375800 11618432016 12102533350 12156804800 12344584017 12399940896 12916605100 13554837352 14523040020 14761834400 15491242688 15499926120 16459445356 16943546690 17714201280 18153800025 18235207200 19364053360 19374907650 20332256028 20574306695 20666568160 22142751600 23236864032 24205066700 24689168034 24799881792 25415320035 25833210200 27109674704 28804029373 29046080040 29523668800 30999852240 32918890712 33887093380 36307600050 36470414400 38728106720 38749815300 40664512056 41148613390 41333136320 42358866725 44285503200 46473728064 48410133400 49378336068 50830640070 51666420400 54219349408 57608058746 58092160080 61722920085 61999704480 65837781424 67774186760 72615200100 77456213440 77499630600 81329024112 82297226780 84717733450 86412088119 88571006400 96820266800 98756672136 101661280140 102871533475 103332840800 108438698816 115216117492 116184320160 123445840170 123999408960 127076600175 131675562848 135548373520 144020146865 145230400200 154999261200 162658048224 164594453560 169435466900 172824176238 193640533600 197513344272 203322560280 205743066950 206665681600 230432234984 232368640320 246891680340 254153200350 263351125696 271096747040 288040293730 290460800400 308614600425 309998522400 325316096448 329188907120 338870933800 345648352476 387281067200 395026688544 406645120560 411486133900 432060440595 460864469968 493783360680 508306400700 542193494080 576080587460 580921600800 617229200850 619997044800 658377814240 677741867600 691296704952 720100734325 790053377088 813290241120 822972267800 864120881190 921728939936 987566721360 1016612801400 1152161174920 1161843201600 1234458401700 1316755628480 1355483735200 1382593409904 1440201468650 1626580482240 1645944535600 1728241762380 1843457879872 1975133442720 2033225602800 2160302202975 2304322349840 2468916803400 2710967470400 2765186819808 2880402937300 3291889071200 3456483524760 3950266885440 4066451205600 4320604405950 4608644699680 4937833606800 5530373639616 5760805874600 6583778142400 6912967049520 8132902411200 8641208811900 9217289399360 9875667213600 11521611749200 13825934099040 17282417623800 19751334427200 23043223498400 27651868198080 34564835247600 46086446996800 69129670495200 138259340990400
• Sum of all divisors σ(n): 551363150499840
• Sum of proper divisors (its aliquot sum) s(n): 413103809509440
• 138259340990400 is an abundant number, because the sum of its proper divisors (413103809509440) is greater than itself. Its abundance is 274844468519040

Bases of 138259340990400

• Binary: 11111011011111100000010111010000001011111000000₂
• Hexadecimal: 0x7DBF02E817C0
• Base-36: 1D0BGPVIDC

Squares and roots of 138259340990400

• 138259340990400 squared (138259340990400²) is 19115645371099701652892160000
• 138259340990400 cubed (138259340990400³) is 2642916531614435000262923649798795264000000
• The square root of 138259340990400 is 11758373.2289122375
• The cube root of 138259340990400 is 51708.8438430295

Scales and comparisons

• 138,259,340,990,400 seconds is equal to 4,396,219 years, 19 weeks, 5 days, 1 hour, 20 minutes.
• To count from 1 to 138,259,340,990,400 would take you about ten million, nine hundred ninety thousand, five hundred forty-eight 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 138259340990400 cubic inches would be around 4309.1 feet tall.

Recreational maths with 138259340990400

• 138259340990400 backwards is 004099043952831
• The number of decimal digits it has is: 15
• The sum of 138259340990400's digits is 57
• More coming soon!