138823728543136

Names of 138823728543136

• Cardinal: 138823728543136 can be written as One hundred thirty-eight trillion, eight hundred twenty-three billion, seven hundred twenty-eight million, five hundred forty-three thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 1.38823728543136 × 10¹⁴

Factors of 138823728543136

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1242624

Divisors of 138823728543136

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 7 8 13 14 16 17 26 28 32 34 37 52 56 61 68 74 91 104 112 119 122 136 148 182 208 221 224 238 244 259 272 296 364 416 427 442 476 481 488 518 544 592 629 728 793 854 884 952 962 976 1036 1037 1184 1258 1456 1547 1586 1708 1768 1904 1924 1952 2072 2074 2257 2516 2912 3094 3172 3367 3416 3536 3808 3848 4144 4148 4403 4514 5032 5551 6188 6344 6734 6832 7072 7259 7696 8177 8288 8296 8806 9028 10064 11102 12376 12688 13468 13481 13664 14518 15392 15799 16354 16592 17612 18056 20128 22204 24752 25376 26936 26962 29036 29341 31598 32708 33184 35224 36112 38369 44408 49504 53872 53924 57239 58072 58682 63196 65416 70448 72224 76738 88816 94367 107744 107848 114478 116144 117364 126392 130832 140896 153476 177632 188734 205387 215696 228956 232288 234728 252784 261664 268583 306952 377468 410774 431392 457912 469456 498797 505568 537166 613904 754936 821548 915824 938912 997594 1074332 1227808 1242487 1509872 1643096 1831648 1995188 2148664 2484974 3019744 3286192 3491579 3990376 4297328 4969948 6572384 6983158 7980752 8594656 8697409 9939896 13966316 15961504 16152331 17394818 19879792 21122279 27932632 32304662 34789636 39759584 42244558 45972019 55865264 64609324 69579272 75791707 84489116 91944038 111730528 113066317 129218648 139158544 147855953 151583414 168978232 183888076 226132634 258437296 274589627 278317088 295711906 303166828 321804133 337956464 367776152 452265268 516874592 530541949 549179254 591423812 597636247 606333656 643608266 675912928 735552304 781524323 904530536 985292191 1061083898 1098358508 1182847624 1195272494 1212667312 1287216532 1288459019 1471104608 1563048646 1809061072 1922127389 1970584382 2122167796 2196717016 2365695248 2390544988 2425334624 2574433064 2576918038 2804293159 3126097292 3618122144 3844254778 3941168764 4183453729 4244335592 4393434032 4731390496 4781089976 5148866128 5153836076 5470670261 5608586318 6252194584 6897045337 7688509556 7882337528 8366907458 8488671184 8786868064 9019213133 9562179952 10159816199 10297732256 10307672152 10941340522 11217172636 12504389168 13794090674 15377019112 15764675056 16733814916 16749967247 16977342368 18038426266 19124359904 19630052113 20319632398 20615344304 21882681044 22434345272 25008778336 27588181348 30754038224 31529350112 33467629832 33499934494 36076852532 36455811067 39260104226 40639264796 41230688608 43765362088 44868690544 47672983703 55176362696 61508076448 66935259664 66999868988 71118713393 72153705064 72911622134 78520208452 81278529592 87530724176 89737381088 95345967406 110352725392 117249770729 133870519328 133999737976 142237426786 144307410128 145823244268 157040416904 162557059184 175061448352 190691934812 220705450784 234499541458 255190677469 267999475952 284474853572 288614820256 291646488536 314080833808 325114118368 333710885921 381383869624 468999082916 510381354938 535998951904 568949707144 583292977072 619748788139 628161667616 667421771842 762767739248 937998165832 1020762709876 1137899414288 1166585954144 1239497576278 1334843543684 1525535478496 1875996331664 2041525419752 2275798828576 2478995152556 2669687087368 3751992663328 4083050839504 4338241516973 4957990305112 5339374174736 8166101679008 8676483033946 9915980610224 10678748349472 17352966067892 19831961220448 34705932135784 69411864271568 138823728543136
• Sum of all divisors σ(n): 371790737869824
• Sum of proper divisors (its aliquot sum) s(n): 232967009326688
• 138823728543136 is an abundant number, because the sum of its proper divisors (232967009326688) is greater than itself. Its abundance is 94143280783552

Bases of 138823728543136

• Binary: 11111100100001001101011000001101011010110100000₂
• Hexadecimal: 0x7E426B06B5A0
• Base-36: 1D7IQNNH5S

Squares and roots of 138823728543136

• 138823728543136 squared (138823728543136²) is 19272027606618312957012714496
• 138823728543136 cubed (138823728543136³) is 2675414728937003663911452795954418788499456
• The square root of 138823728543136 is 11782348.1761122639
• The cube root of 138823728543136 is 51779.1084319381

Scales and comparisons

• 138,823,728,543,136 seconds is equal to 4,414,165 years, 8 weeks, 1 day, 9 hours, 32 minutes, 16 seconds.
• To count from 1 to 138,823,728,543,136 would take you about eleven million, thirty-five thousand, four hundred twelve 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 138823728543136 cubic inches would be around 4314.9 feet tall.

Recreational maths with 138823728543136

• 138823728543136 backwards is 631345827328831
• The number of decimal digits it has is: 15
• The sum of 138823728543136's digits is 64
• More coming soon!