138127420800

Names of 138127420800

• Cardinal: 138127420800 can be written as One hundred thirty-eight billion, one hundred twenty-seven million, four hundred twenty thousand, eight hundred.

Scientific notation

• Scientific notation: 1.381274208 × 10¹¹

Factors of 138127420800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 70

Divisors of 138127420800

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 43 45 48 50 51 54 60 64 68 72 75 80 81 85 86 90 96 100 102 108 120 128 129 135 136 144 150 153 160 162 170 172 180 192 200 204 215 216 225 240 243 255 258 270 272 288 300 306 320 324 340 344 360 384 387 400 405 408 425 430 432 450 459 480 486 510 516 540 544 576 600 612 640 645 648 675 680 688 720 729 731 765 774 800 810 816 850 860 864 900 918 960 972 1020 1032 1075 1080 1088 1152 1161 1200 1215 1224 1275 1290 1296 1350 1360 1376 1377 1440 1458 1462 1530 1548 1600 1620 1632 1700 1720 1728 1800 1836 1920 1935 1944 2025 2040 2064 2150 2160 2176 2187 2193 2295 2322 2400 2430 2448 2550 2580 2592 2700 2720 2752 2754 2880 2916 2924 3060 3096 3200 3225 3240 3264 3400 3440 3456 3483 3600 3645 3655 3672 3825 3870 3888 4050 4080 4128 4131 4300 4320 4374 4386 4590 4644 4800 4860 4896 5100 5160 5184 5400 5440 5504 5508 5760 5805 5832 5848 6075 6120 6192 6450 6480 6528 6561 6579 6800 6880 6885 6966 7200 7290 7310 7344 7650 7740 7776 8100 8160 8256 8262 8600 8640 8748 8772 9180 9288 9600 9675 9720 9792 10200 10320 10368 10449 10800 10880 10935 10965 11016 11475 11610 11664 11696 12150 12240 12384 12393 12900 12960 13122 13158 13600 13760 13770 13932 14400 14580 14620 14688 15300 15480 15552 16200 16320 16512 16524 17200 17280 17415 17496 17544 18225 18275 18360 18576 19350 19440 19584 19683 19737 20400 20640 20655 20898 21600 21870 21930 22032 22950 23220 23328 23392 24300 24480 24768 24786 25800 25920 26244 26316 27200 27520 27540 27864 28800 29025 29160 29240 29376 30600 30960 31104 31347 32400 32640 32805 32895 33048 34400 34425 34830 34992 35088 36450 36550 36720 37152 37179 38700 38880 39366 39474 40800 41280 41310 41796 43200 43740 43860 44064 45900 46440 46656 46784 48600 48960 49536 49572 51600 51840 52245 52488 52632 54400 54675 54825 55080 55728 58050 58320 58480 58752 59049 59211 61200 61920 61965 62694 64800 65610 65790 66096 68800 68850 69660 69984 70176 72900 73100 73440 74304 74358 77400 77760 78732 78948 81600 82560 82620 83592 86400 87075 87480 87720 88128 91800 92880 93312 93568 94041 97200 97920 98415 98685 99144 103200 103275 104490 104976 105264 109350 109650 110160 111456 111537 116100 116640 116960 118098 118422 122400 123840 123930 125388 129600 131220 131580 132192 137600 137700 139320 139968 140352 145800 146200 146880 148608 148716 154800 155520 156735 157464 157896 163200 164025 164475 165240 167184 174150 174960 175440 176256 177633 183600 185760 185895 188082 194400 196830 197370 198288 206400 206550 208980 209952 210528 218700 219300 220320 222912 223074 232200 233280 233920 236196 236844 244800 247680 247860 250776 259200 261225 262440 263160 264384 275400 278640 279936 280704 282123 291600 292400 293760 295245 296055 297432 309600 309825 313470 314928 315792 328050 328950 330480 334368 334611 348300 349920 350880 355266 367200 371520 371790 376164 388800 393660 394740 396576 412800 413100 417960 419904 421056 437400 438600 440640 445824 446148 464400 466560 467840 470205 472392 473688 489600 492075 493425 495720 501552 522450 524880 526320 528768 532899 550800 557280 557685 564246 583200 584800 590490 592110 594864 619200 619650 626940 629856 631584 656100 657900 660960 668736 669222 696600 699840 701760 710532 734400 743040 743580 752328 777600 783675 787320 789480 793152 826200 835920 839808 842112 846369 874800 877200 881280 888165 892296 928800 929475 940410 944784 947376 984150 986850 991440 1003104 1003833 1044900 1049760 1052640 1065798 1101600 1114560 1115370 1128492 1166400 1169600 1180980 1184220 1189728 1238400 1239300 1253880 1259712 1263168 1312200 1315800 1321920 1337472 1338444 1393200 1399680 1403520 1410615 1421064 1468800 1476225 1480275 1487160 1504656 1567350 1574640 1578960 1586304 1598697 1652400 1671840 1673055 1692738 1749600 1754400 1776330 1784592 1857600 1858950 1880820 1889568 1894752 1968300 1973700 1982880 2006208 2007666 2089800 2099520 2105280 2131596 2203200 2229120 2230740 2256984 2332800 2339200 2351025 2361960 2368440 2379456 2478600 2507760 2519424 2526336 2539107 2624400 2631600 2643840 2664495 2676888 2786400 2788425 2821230 2842128 2952450 2960550 2974320 3009312 3134700 3149280 3157920 3197394 3304800 3343680 3346110 3385476 3499200 3508800 3552660 3569184 3715200 3717900 3761640 3779136 3789504 3936600 3947400 3965760 4012416 4015332 4179600 4199040 4210560 4231845 4263192 4406400 4440825 4461480 4513968 4702050 4723920 4736880 4758912 4796091 4957200 5015520 5019165 5078214 5248800 5263200 5328990 5353776 5572800 5576850 5642460 5684256 5904900 5921100 5948640 6018624 6269400 6298560 6315840 6394788 6609600 6687360 6692220 6770952 6998400 7017600 7053075 7105320 7138368 7435800 7523280 7558272 7579008 7873200 7894800 7931520 7993485 8030664 8359200 8365275 8463690 8526384 8881650 8922960 9027936 9404100 9447840 9473760 9592182 9914400 10031040 10038330 10156428 10497600 10526400 10657980 10707552 11145600 11153700 11284920 11368512 11809800 11842200 11897280 12037248 12538800 12597120 12631680 12695535 12789576 13219200 13322475 13384440 13541904 14106150 14210640 14276736 14388273 14871600 15046560 15746400 15789600 15986970 16061328 16718400 16730550 16927380 17052768 17763300 17845920 18055872 18808200 18895680 18947520 19184364 19828800 20062080 20076660 20312856 20995200 21052800 21159225 21315960 21415104 22307400 22569840 22737024 23619600 23684400 23794560 23980455 25077600 25095825 25391070 25579152 26644950 26768880 27083808 28212300 28421280 28776546 29743200 30093120 31492800 31579200 31973940 32122656 33436800 33461100 33854760 34105536 35526600 35691840 36111744 37616400 37791360 37895040 38368728 39657600 39967425 40153320 40625712 42318450 42631920 42830208 43164819 44614800 45139680 47239200 47368800 47960910 50155200 50191650 50782140 51158304 53289900 53537760 54167616 56424600 56842560 57553092 59486400 60186240 62985600 63158400 63477675 63947880 64245312 66922200 67709520 68211072 71053200 71383680 71941365 75232800 76737456 79934850 80306640 81251424 84636900 85263840 86329638 89229600 90279360 94478400 94737600 95921820 100310400 100383300 101564280 102316608 106579800 107075520 108335232 112849200 113685120 115106184 118972800 119902275 126955350 127895760 128490624 133844400 135419040 142106400 143882730 150465600 153474912 159869700 160613280 162502848 169273800 170527680 172659276 178459200 180558720 188956800 189475200 191843640 200766600 203128560 204633216 213159600 214151040 215824095 225698400 230212368 239804550 253910700 255791520 267688800 270838080 284212800 287765460 300931200 306949824 319739400 321226560 325005696 338547600 341055360 345318552 356918400 359706825 383687280 401533200 406257120 426319200 431648190 451396800 460424736 479609100 507821400 511583040 535377600 541676160 568425600 575530920 613899648 639478800 642453120 677095200 690637104 719413650 767374560 803066400 812514240 852638400 863296380 902793600 920849472 959218200 1015642800 1023166080 1070755200 1079120475 1151061840 1278957600 1354190400 1381274208 1438827300 1534749120 1606132800 1625028480 1705276800 1726592760 1841698944 1918436400 2031285600 2158240950 2302123680 2557915200 2708380800 2762548416 2877654600 3069498240 3212265600 3453185520 3836872800 4062571200 4316481900 4604247360 5115830400 5525096832 5755309200 6906371040 7673745600 8125142400 8632963800 9208494720 11510618400 13812742080 15347491200 17265927600 23021236800 27625484160 34531855200 46042473600 69063710400 138127420800
• Sum of all divisors σ(n): 554534295480
• Sum of proper divisors (its aliquot sum) s(n): 416406874680
• 138127420800 is an abundant number, because the sum of its proper divisors (416406874680) is greater than itself. Its abundance is 278279453880

Bases of 138127420800

• Binary: 10000000101001000010010010110110000000₂
• Hexadecimal: 0x2029092D80
• Base-36: 1RGDI000

Squares and roots of 138127420800

• 138127420800 squared (138127420800²) is 19079184376860272640000
• 138127420800 cubed (138127420800³) is 2635358528943364661748006912000000
• The square root of 138127420800 is 371654.9754812925
• The cube root of 138127420800 is 5169.2392606807

Scales and comparisons

• 138,127,420,800 seconds is equal to 4,392 years, 1 week, 2 days.
• To count from 1 to 138,127,420,800 would take you about eight thousand, seven hundred eighty-four 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 138127420800 cubic inches would be around 430.8 feet tall.

Recreational maths with 138127420800

• 138127420800 backwards is 008024721831
• 138127420800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138127420800's digits is 36
• More coming soon!