138117025382400

Names of 138117025382400

• Cardinal: 138117025382400 can be written as One hundred thirty-eight trillion, one hundred seventeen billion, twenty-five million, three hundred eighty-two thousand, four hundred.

Scientific notation

• Scientific notation: 1.381170253824 × 10¹⁴

Factors of 138117025382400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 6131

Divisors of 138117025382400

• Number of divisors d(n): 405
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 256 288 300 320 360 384 400 450 480 512 576 600 640 720 768 800 900 960 1024 1152 1200 1280 1440 1536 1600 1800 1920 2048 2304 2400 2560 2880 3072 3200 3600 3840 4096 4608 4800 5120 5760 6121 6144 6400 7200 7680 8192 9216 9600 10240 11520 12242 12288 12800 14400 15360 16384 18363 18432 19200 20480 23040 24484 24576 25600 28800 30605 30720 36726 36864 38400 40960 46080 48968 49152 51200 55089 57600 61210 61440 73452 73728 76800 81920 91815 92160 97936 102400 110178 115200 122420 122880 146904 147456 153025 153600 183630 184320 195872 204800 220356 230400 244840 245760 275445 293808 306050 307200 367260 368640 391744 409600 440712 459075 460800 489680 550890 587616 612100 614400 734520 737280 783488 881424 918150 921600 979360 1101780 1175232 1224200 1228800 1377225 1469040 1566976 1762848 1836300 1843200 1958720 2203560 2350464 2448400 2754450 2938080 3133952 3525696 3672600 3686400 3917440 4407120 4700928 4896800 5508900 5876160 6267904 7051392 7345200 7834880 8814240 9401856 9793600 11017800 11752320 12535808 14102784 14690400 15669760 17628480 18803712 19587200 22035600 23504640 25071616 28205568 29380800 31339520 35256960 37466641 37607424 39174400 44071200 47009280 50143232 56411136 58761600 62679040 70513920 74933282 75214848 78348800 88142400 94018560 100286464 112399923 112822272 117523200 125358080 141027840 149866564 150429696 156697600 176284800 187333205 188037120 224799846 225644544 235046400 250716160 282055680 299733128 300859392 313395200 337199769 352569600 374666410 376074240 449599692 451289088 470092800 501432320 561999615 564111360 599466256 626790400 674399538 705139200 749332820 752148480 899199384 902578176 936666025 940185600 1123999230 1128222720 1198932512 1253580800 1348799076 1410278400 1498665640 1504296960 1685998845 1798398768 1873332050 1880371200 2247998460 2256445440 2397865024 2507161600 2697598152 2809998075 2820556800 2997331280 3371997690 3596797536 3746664100 3760742400 4495996920 4512890880 4795730048 5395196304 5619996150 5641113600 5994662560 6743995380 7193595072 7493328200 7521484800 8429994225 8991993840 9591460096 10790392608 11239992300 11282227200 11989325120 13487990760 14387190144 14986656400 16859988450 17983987680 19182920192 21580785216 22479984600 22564454400 23978650240 26975981520 28774380288 29973312800 33719976900 35967975360 38365840384 43161570432 44959969200 47957300480 53951963040 57548760576 59946625600 67439953800 71935950720 76731680768 86323140864 89919938400 95914600960 107903926080 115097521152 119893251200 134879907600 143871901440 153463361536 172646281728 179839876800 191829201920 215807852160 230195042304 239786502400 269759815200 287743802880 306926723072 345292563456 359679753600 383658403840 431615704320 460390084608 479573004800 539519630400 575487605760 613853446144 690585126912 719359507200 767316807680 863231408640 920780169216 959146009600 1079039260800 1150975211520 1381170253824 1438719014400 1534633615360 1726462817280 1841560338432 1918292019200 2158078521600 2301950423040 2762340507648 2877438028800 3069267230720 3452925634560 3836584038400 4316157043200 4603900846080 5524681015296 5754876057600 6905851269120 7673168076800 8632314086400 9207801692160 11509752115200 13811702538240 15346336153600 17264628172800 23019504230400 27623405076480 34529256345600 46039008460800 69058512691200 138117025382400
• Sum of all divisors σ(n): 494831620164063
• Sum of proper divisors (its aliquot sum) s(n): 356714594781663
• 138117025382400 is an abundant number, because the sum of its proper divisors (356714594781663) is greater than itself. Its abundance is 218597569399263

Bases of 138117025382400

• Binary: 11111011001110111100000001111000100000000000000₂
• Hexadecimal: 0x7D9DE03C4000
• Base-36: 1CYI32U4G0

Squares and roots of 138117025382400

• 138117025382400 squared (138117025382400²) is 19076312700482525866229760000
• 138117025382400 cubed (138117025382400³) is 2634763565455144513793720308910260224000000
• 138117025382400 is a perfect square number. Its square root is 11752320
• The cube root of 138117025382400 is 51691.0957909493

Scales and comparisons

• 138,117,025,382,400 seconds is equal to 4,391,694 years, 9 weeks, 3 days, 16 hours.
• To count from 1 to 138,117,025,382,400 would take you about ten million, nine hundred seventy-nine thousand, two hundred thirty-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 138117025382400 cubic inches would be around 4307.6 feet tall.

Recreational maths with 138117025382400

• 138117025382400 backwards is 004283520711831
• 138117025382400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138117025382400's digits is 45
• More coming soon!