138937780617120

Names of 138937780617120

• Cardinal: 138937780617120 can be written as One hundred thirty-eight trillion, nine hundred thirty-seven billion, seven hundred eighty million, six hundred seventeen thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3893778061712 × 10¹⁴

Factors of 138937780617120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 293303

Divisors of 138937780617120

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 211 216 240 270 288 360 422 432 480 521 540 633 720 844 864 1042 1055 1080 1266 1440 1563 1688 1899 2084 2110 2160 2532 2605 3126 3165 3376 3798 4168 4220 4320 4689 5064 5210 5697 6252 6330 6752 7596 7815 8336 8440 9378 9495 10128 10420 11394 12504 12660 14067 15192 15630 16672 16880 18756 18990 20256 20840 22788 23445 25008 25320 28134 28485 30384 31260 33760 37512 37980 41680 45576 46890 50016 50640 56268 56970 60768 62520 70335 75024 75960 83360 91152 93780 101280 109931 112536 113940 125040 140670 150048 151920 182304 187560 219862 225072 227880 250080 281340 292561 303840 329793 375120 439724 450144 455760 549655 562680 585122 659586 750240 877683 879448 911520 989379 1099310 1125360 1170244 1319172 1462805 1648965 1755366 1758896 1978758 2198620 2250720 2340488 2633049 2638344 2925610 2968137 3297930 3510732 3517792 3957516 4388415 4397240 4680976 4946895 5266098 5276688 5851220 5936274 6595860 7021464 7899147 7915032 8776830 8794480 9361952 9893790 10532196 10553376 11702440 11872548 13165245 13191720 14042928 14840685 15798294 15830064 17553660 17588960 19787580 21064392 23404880 23745096 26330490 26383440 28085856 29681370 31596588 31660128 35107320 39495735 39575160 42128784 46809760 47490192 52660980 52766880 59362740 61730371 63193176 70214640 78991470 79150320 84257568 94980384 105321960 118725480 123460742 126386352 140429280 152424281 157982940 158300640 185191113 210643920 237450960 246921484 252772704 304848562 308651855 315965880 370382226 421287840 457272843 474901920 493842968 555573339 609697124 617303710 631931760 740764452 762121405 914545686 925955565 987685936 1111146678 1219394248 1234607420 1263863520 1371818529 1481528904 1524242810 1666720017 1829091372 1851911130 1975371872 2222293356 2286364215 2438788496 2469214840 2743637058 2777866695 2963057808 3048485620 3333440034 3658182744 3703822260 4115455587 4444586712 4572728430 4877576992 4938429680 5487274116 5555733390 5926115616 6096971240 6666880068 6859092645 7316365488 7407644520 8230911174 8333600085 8889173424 9145456860 9876859360 10974548232 11111466780 12193942480 13333760136 13718185290 14632730976 14815289040 16461822348 16667200170 17778346848 18290913720 20577277935 21949096464 22222933560 24387884960 26667520272 27436370580 29630578080 32161523291 32923644696 33334400340 36581827440 41154555870 43898192928 44445867120 53335040544 54872741160 64323046582 65847289392 66668800680 73163654880 82309111740 88891734240 96484569873 109745482320 128646093164 131694578784 133337601360 160807616455 164618223480 192969139746 219490964640 257292186328 266675202720 289453709619 321615232910 329236446960 385938279492 482422849365 514584372656 578907419238 643230465820 658472893920 771876558984 868361128857 964845698730 1029168745312 1157814838476 1286460931640 1447268548095 1543753117968 1736722257714 1929691397460 2315629676952 2572921863280 2894537096190 3087506235936 3473444515428 3859382794920 4341805644285 4631259353904 5145843726560 5789074192380 6946889030856 7718765589840 8683611288570 9262518707808 11578148384760 13893778061712 15437531179680 17367222577140 23156296769520 27787556123424 34734445154280 46312593539040 69468890308560 138937780617120
• Sum of all divisors σ(n): 489526347260160
• Sum of proper divisors (its aliquot sum) s(n): 350588566643040
• 138937780617120 is an abundant number, because the sum of its proper divisors (350588566643040) is greater than itself. Its abundance is 211650786025920

Bases of 138937780617120

• Binary: 11111100101110011111001000011110011111110100000₂
• Hexadecimal: 0x7E5CF90F3FA0
• Base-36: 1D8Z4VB8O0

Squares and roots of 138937780617120

• 138937780617120 squared (138937780617120²) is 19303706882810965968037094400
• 138937780617120 cubed (138937780617120³) is 2682014191981179362774928171781483696128000
• The square root of 138937780617120 is 11787187.1376134519
• The cube root of 138937780617120 is 51793.2844383499

Scales and comparisons

• 138,937,780,617,120 seconds is equal to 4,417,791 years, 34 weeks, 2 days, 13 hours, 12 minutes.
• To count from 1 to 138,937,780,617,120 would take you about eleven million, forty-four thousand, four hundred seventy-nine 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 138937780617120 cubic inches would be around 4316.1 feet tall.

Recreational maths with 138937780617120

• 138937780617120 backwards is 021716087739831
• The number of decimal digits it has is: 15
• The sum of 138937780617120's digits is 63
• More coming soon!