138241384945216

Names of 138241384945216

• Cardinal: 138241384945216 can be written as One hundred thirty-eight trillion, two hundred forty-one billion, three hundred eighty-four million, nine hundred forty-five thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.38241384945216 × 10¹⁴

Factors of 138241384945216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 164

Divisors of 138241384945216

• Number of divisors d(n): 784
• Complete list of divisors:
  1 2 4 7 8 14 16 17 28 32 34 37 49 56 64 68 74 98 101 112 119 136 148 196 202 224 238 259 272 289 296 343 392 404 448 476 518 544 578 592 629 686 707 784 808 833 952 1036 1088 1156 1184 1258 1372 1414 1568 1616 1666 1717 1813 1904 2023 2072 2312 2368 2401 2516 2744 2828 3136 3232 3332 3434 3626 3737 3808 4046 4144 4403 4624 4802 4913 4949 5032 5488 5656 5831 6464 6664 6868 7252 7474 7616 8092 8288 8806 9248 9604 9826 9898 10064 10693 10976 11312 11662 12019 12691 13328 13736 14161 14504 14948 16184 16576 16807 17612 18496 19208 19652 19796 20128 21386 21952 22624 23324 24038 25382 26159 26656 27472 28322 29008 29189 29896 30821 32368 33614 34391 34643 35224 38416 39304 39592 40256 40817 42772 45248 46648 48076 50764 52318 53312 54944 56644 58016 58378 59792 61642 63529 64736 67228 68782 69286 70448 74851 76832 78608 79184 81634 84133 85544 88837 93296 96152 99127 101528 104636 109888 113288 116032 116756 117649 119584 123284 127058 129472 134456 137564 138572 140896 149702 153664 157216 158368 163268 168266 171088 177674 181781 183113 186592 192304 198254 203056 204323 209272 215747 226576 233512 235298 239168 240737 242501 246568 254116 268912 275128 277144 281792 285719 299404 314432 316736 326536 336532 342176 355348 363562 366226 373184 384608 396508 406112 408646 418544 431494 444703 453152 467024 470596 481474 485002 493136 496213 508232 523957 537824 550256 554288 571438 588931 598808 621859 653072 673064 684352 693889 710696 727124 732452 769216 793016 812224 817292 837088 862988 889406 906304 934048 941192 962948 970004 986272 992426 1016464 1047914 1075648 1079993 1100512 1108576 1142876 1177862 1197616 1243718 1272467 1281791 1306144 1346128 1387778 1421392 1430261 1454248 1464904 1510229 1586032 1634584 1674176 1685159 1697507 1725976 1778812 1868096 1882384 1925896 1940008 1972544 1984852 2000033 2032928 2095828 2159986 2201024 2217152 2285752 2355724 2395232 2487436 2544934 2563582 2612288 2692256 2775556 2842784 2860522 2908496 2929808 3020458 3112921 3172064 3269168 3370318 3395014 3451952 3473491 3557624 3667699 3764768 3851792 3880016 3969704 4000066 4065856 4122517 4191656 4319972 4353013 4571504 4711448 4790464 4857223 4974872 5089868 5127164 5384512 5551112 5685568 5721044 5816992 5859616 6040916 6225842 6344128 6538336 6740636 6790028 6903904 6946982 7115248 7335398 7529536 7559951 7703584 7760032 7939408 8000132 8245034 8383312 8639944 8706026 8907269 8972537 9143008 9422896 9714446 9949744 10011827 10179736 10254328 10571603 11102224 11442088 11633984 11719232 11796113 11882549 12081832 12451684 13076672 13481272 13580056 13807808 13893964 14230496 14670796 15119902 15407168 15520064 15878816 16000264 16490068 16766624 17279888 17412052 17814538 17945074 18286016 18359881 18845792 19428892 19899488 20023654 20359472 20508656 21143206 21790447 22204448 22884176 23592226 23765098 24163664 24314437 24903368 25673893 26962544 27160112 27787928 28460992 28857619 29341592 30239804 31757632 32000528 32980136 33533248 34000561 34559776 34824104 35629076 35890148 36719762 37691584 38857784 39798976 40047308 40718944 41017312 42286412 43580894 44408896 45768352 47184452 47530196 48327328 48628874 49806736 51347786 52919657 53925088 54320224 55575856 57715238 58683184 60479608 62350883 62807759 64001056 65960272 68001122 69119552 69648208 70082789 71258152 71780296 73439524 74001221 77715568 80094616 81437888 82034624 82572791 84572824 87161788 91536704 94368904 95060392 96654656 97257748 99613472 102695572 105839314 107850176 108640448 111151712 115430476 117366368 120959216 124701766 125615518 128002112 128519167 131920544 136002244 139296416 140165578 142516304 143560592 146879048 148002442 152533129 155431136 160189232 165145582 169145648 170201059 174323576 179717251 188737808 190120784 194515496 199226944 202003333 205391144 211678628 222303424 230860952 234732736 241918432 249403532 251231036 257038334 263841088 272004488 278592832 280331156 285032608 287121184 293758096 296004884 305066258 310862272 320378464 330291164 338291296 340402118 348647152 359434502 370437599 377475616 380241568 389030992 404006666 410782288 423357256 436456181 439654313 461721904 483836864 490579523 498807064 502462072 514076668 544008976 560662312 570065216 574242368 578009537 587516192 592009768 610132516 640756928 660582328 676582592 680804236 697294304 718869004 740875198 754951232 760483136 778061984 808013332 821564576 846714512 872912362 879308626 899634169 923443808 981159046 997614128 1004924144 1028153336 1067731903 1088017952 1121324624 1156019074 1175032384 1184019536 1191407413 1220265032 1258020757 1321164656 1361608472 1394588608 1437738008 1481750396 1556123968 1616026664 1643129152 1693429024 1745824724 1758617252 1799268338 1846887616 1962318092 1995228256 2009848288 2056306672 2135463806 2176035904 2242649248 2312038148 2368039072 2382814826 2440530064 2516041514 2593063193 2642329312 2723216944 2875476016 2963500792 3055193267 3232053328 3386858048 3434056661 3491649448 3517234504 3598536676 3924636184 3990456512 4019696576 4112613344 4270927612 4485298496 4624076296 4736078144 4765629652 4881060128 5032083028 5186126386 5284658624 5446433888 5750952032 5927001584 6110386534 6297439183 6464106656 6868113322 6983298896 7034469008 7197073352 7474123321 7849272368 8225226688 8339851891 8541855224 9248152592 9531259304 9762120256 10064166056 10372252772 10892867776 11501904064 11854003168 12220773068 12594878366 12928213312 13736226644 13966597792 14068938016 14394146704 14948246642 15698544736 16679703782 17083710448 18151442351 18496305184 19062518608 20128332112 20744505544 21386352869 23708006336 24441546136 25189756732 27472453288 27933195584 28137876032 28788293408 29896493284 31397089472 33359407564 34167420896 36302884702 36992610368 38125037216 40256664224 41489011088 42772705738 44082074281 48883092272 50379513464 54944906576 57576586816 58378963237 59792986568 66718815128 68334841792 72605769404 76250074432 80513328448 82978022176 85545411476 88164148562 97766184544 100759026928 109889813152 116757926474 119585973136 127060096457 133437630256 145211538808 165956044352 171090822952 176328297124 195532369088 201518053856 219779626304 233515852948 239171946272 254120192914 266875260512 290423077616 308574519967 342181645904 352656594248 403036107712 467031705896 478343892544 508240385828 533750521024 580846155232 617149039934 684363291808 705313188496 934063411792 1016480771656 1161692310464 1234298079868 1368726583616 1410626376992 1868126823584 2032961543312 2160021639769 2468596159736 2821252753984 3736253647168 4065923086624 4320043279538 4937192319472 8131846173248 8640086559076 9874384638944 17280173118152 19748769277888 34560346236304 69120692472608 138241384945216
• Sum of all divisors σ(n): 352689471028080
• Sum of proper divisors (its aliquot sum) s(n): 214448086082864
• 138241384945216 is an abundant number, because the sum of its proper divisors (214448086082864) is greater than itself. Its abundance is 76206701137648

Bases of 138241384945216

• Binary: 11111011011101011010100101001001001011001000000₂
• Hexadecimal: 0x7DBAD4A49640
• Base-36: 1D037RB58G

Squares and roots of 138241384945216

• 138241384945216 squared (138241384945216²) is 19110680511571392931321286656
• 138241384945216 cubed (138241384945216³) is 2641886941165178364059137356957953191837696
• The square root of 138241384945216 is 11757609.6612030797
• The cube root of 138241384945216 is 51706.6052322961

Scales and comparisons

• 138,241,384,945,216 seconds is equal to 4,395,648 years, 22 weeks, 3 days, 11 hours, 16 seconds.
• To count from 1 to 138,241,384,945,216 would take you about ten million, nine hundred eighty-nine thousand, one hundred twenty-one 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 138241384945216 cubic inches would be around 4308.9 feet tall.

Recreational maths with 138241384945216

• 138241384945216 backwards is 612549483142831
• The number of decimal digits it has is: 15
• The sum of 138241384945216's digits is 61
• More coming soon!