138222322024320

Names of 138222322024320

• Cardinal: 138222322024320 can be written as One hundred thirty-eight trillion, two hundred twenty-two billion, three hundred twenty-two million, twenty-four thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.3822232202432 × 10¹⁴

Factors of 138222322024320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 5288

Divisors of 138222322024320

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 85 90 96 102 108 120 128 135 136 144 153 160 170 180 192 204 216 240 255 270 272 288 289 306 320 340 360 384 408 432 459 480 510 540 544 576 578 612 640 680 720 765 816 864 867 918 960 1020 1080 1088 1152 1156 1224 1360 1440 1445 1530 1632 1728 1734 1836 1920 2040 2160 2176 2295 2312 2448 2601 2720 2880 2890 3060 3264 3456 3468 3672 4080 4320 4335 4590 4624 4896 5202 5261 5440 5760 5780 6120 6528 6936 7344 7803 8160 8640 8670 9180 9248 9792 10404 10522 10880 11560 12240 13005 13872 14688 15606 15783 16320 17280 17340 18360 18496 19584 20808 21044 23120 24480 26010 26305 27744 29376 31212 31566 32640 34680 36720 36992 39015 41616 42088 46240 47349 48960 52020 52610 55488 58752 62424 63132 69360 73440 78030 78915 83232 84176 89437 92480 94698 97920 104040 105220 110976 124848 126264 138720 142047 146880 156060 157830 166464 168352 178874 184960 189396 208080 210440 236745 249696 252528 268311 277440 284094 293760 312120 315660 332928 336704 357748 378792 416160 420880 447185 473490 499392 505056 536622 554880 568188 624240 631320 673408 710235 715496 757584 804933 832320 841760 894370 946980 998784 1010112 1073244 1136376 1248480 1262640 1341555 1420470 1430992 1515168 1520429 1609866 1664640 1683520 1788740 1893960 2020224 2146488 2272752 2414799 2496960 2525280 2683110 2840940 2861984 3030336 3040858 3219732 3367040 3577480 3787920 4024665 4292976 4545504 4561287 4829598 4993920 5050560 5366220 5681880 5723968 6060672 6081716 6439464 7154960 7575840 7602145 8049330 8585952 9091008 9122574 9659196 10101120 10732440 11363760 11447936 12073995 12163432 12878928 13683861 14309920 15151680 15204290 16098660 17171904 18182016 18245148 19318392 21464880 22727520 22806435 24147990 24326864 25757856 27367722 27678121 28619840 30303360 30408580 32197320 34343808 36490296 38636784 41051583 42929760 45455040 45612870 48295980 48653728 51515712 54735444 55356242 57239680 60817160 64394640 68419305 72980592 77273568 82103166 83034363 85859520 90910080 91225740 96591960 97307456 103031424 109470888 110712484 121634320 128789280 136838610 138390605 145961184 154547136 164206332 166068726 171719040 182451480 193183920 194614912 205257915 218941776 221424968 243268640 249103089 257578560 273677220 276781210 291922368 309094272 328412664 332137452 364902960 386367840 410515830 415171815 437883552 442849936 470528057 486537280 498206178 515157120 547354440 553562420 583844736 656825328 664274904 729805920 747309267 772735680 821031660 830343630 875767104 885699872 941056114 973074560 996412356 1094708880 1107124840 1245515445 1313650656 1328549808 1411584171 1459611840 1494618534 1545471360 1642063320 1660687260 1751534208 1771399744 1882112228 1992824712 2189417760 2214249680 2352640285 2491030890 2627301312 2657099616 2823168342 2919223680 2989237068 3284126640 3321374520 3542799488 3736546335 3764224456 3985649424 4234752513 4378835520 4428499360 4705280570 4982061780 5254602624 5314199232 5646336684 5978474136 6568253280 6642749040 7057920855 7473092670 7528448912 7971298848 7998976969 8469505026 8757671040 8856998720 9410561140 9964123560 10628398464 11292673368 11956948272 12704257539 13136506560 13285498080 14115841710 14946185340 15056897824 15942597696 15997953938 16939010052 17713997440 18821122280 19928247120 21173762565 22585346736 23913896544 23996930907 25408515078 26273013120 26570996160 28231683420 29892370680 30113795648 31885195392 31995907876 33878020104 37642244560 39856494240 39994884845 42347525130 45170693472 47827793088 47993861814 50817030156 53141992320 56463366840 59784741360 60227591296 63521287695 63991815752 67756040208 71990792721 75284489120 79712988480 79989769690 84695050260 90341386944 95655586176 95987723628 101634060312 112926733680 119569482720 119984654535 127042575390 127983631504 135512080416 143981585442 150568978240 159425976960 159979539380 169390100520 180682773888 191975447256 203268120624 215972378163 225853467360 239138965440 239969309070 254085150780 255967263008 271024160832 287963170884 301137956480 319959078760 338780201040 359953963605 383950894512 406536241248 431944756326 451706934720 478277930880 479938618140 508170301560 511934526016 542048321664 575926341768 639918157520 677560402080 719907927210 767901789024 813072482496 863889512652 903413869440 959877236280 1016340603120 1023869052032 1079861890815 1151852683536 1279836315040 1355120804160 1439815854420 1535803578048 1626144964992 1727779025304 1919754472560 2032681206240 2159723781630 2303705367072 2559672630080 2710241608320 2879631708840 3071607156096 3455558050608 3839508945120 4065362412480 4319447563260 4607410734144 5119345260160 5759263417680 6911116101216 7679017890240 8130724824960 8638895126520 9214821468288 11518526835360 13822232202432 15358035780480 17277790253040 23037053670720 27644464404864 34555580506080 46074107341440 69111161012160 138222322024320
• Sum of all divisors σ(n): 520126473157200
• Sum of proper divisors (its aliquot sum) s(n): 381904151132880
• 138222322024320 is an abundant number, because the sum of its proper divisors (381904151132880) is greater than itself. Its abundance is 243681829108560

Bases of 138222322024320

• Binary: 11111011011011001100100011001110111111110000000₂
• Hexadecimal: 0x7DB664677F80
• Base-36: 1CZUGHQLC0

Squares and roots of 138222322024320

• 138222322024320 squared (138222322024320²) is 19105410305794817742671462400
• 138222322024320 cubed (138222322024320³) is 2640794175694333342595777983565462765568000
• The square root of 138222322024320 is 11756798.9701414901
• The cube root of 138222322024320 is 51704.2284133325

Scales and comparisons

• 138,222,322,024,320 seconds is equal to 4,395,042 years, 15 weeks, 19 hours, 12 minutes.
• To count from 1 to 138,222,322,024,320 would take you about ten million, nine hundred eighty-seven thousand, six hundred 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 138222322024320 cubic inches would be around 4308.7 feet tall.

Recreational maths with 138222322024320

• 138222322024320 backwards is 023420223222831
• 138222322024320 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138222322024320's digits is 36
• More coming soon!