40137946272000

Names of 40137946272000

• Cardinal: 40137946272000 can be written as Forty trillion, one hundred thirty-seven billion, nine hundred forty-six million, two hundred seventy-two thousand.

Scientific notation

• Scientific notation: 4.0137946272 × 10¹³

Factors of 40137946272000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 24229

Divisors of 40137946272000

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 48 50 57 60 64 72 75 76 80 90 95 96 100 114 120 125 128 144 150 152 160 171 180 190 192 200 225 228 240 250 256 285 288 300 304 307 320 342 360 375 380 384 400 450 456 475 480 500 570 576 600 608 614 640 684 720 750 760 768 800 855 900 912 921 950 960 1000 1125 1140 1152 1200 1216 1228 1280 1368 1425 1440 1500 1520 1535 1600 1710 1800 1824 1842 1900 1920 2000 2250 2280 2304 2375 2400 2432 2456 2736 2763 2850 2880 3000 3040 3070 3200 3420 3600 3648 3684 3800 3840 4000 4275 4500 4560 4605 4750 4800 4864 4912 5472 5526 5700 5760 5833 6000 6080 6140 6400 6840 7125 7200 7296 7368 7600 7675 8000 8550 9000 9120 9210 9500 9600 9824 10944 11052 11400 11520 11666 12000 12160 12280 13680 13815 14250 14400 14592 14736 15200 15350 16000 17100 17499 18000 18240 18420 19000 19200 19648 21375 21888 22104 22800 23025 23332 23893 24000 24320 24560 27360 27630 28500 28800 29165 29472 30400 30700 32000 34200 34998 36000 36480 36840 38000 38375 39296 42750 43776 44208 45600 46050 46664 47786 48000 49120 52497 54720 55260 57000 57600 58330 58944 60800 61400 68400 69075 69996 71679 72000 72960 73680 76000 76750 78592 85500 87495 88416 91200 92100 93328 95572 96000 98240 104994 109440 110520 114000 115125 116660 117888 119465 121600 122800 136800 138150 139992 143358 144000 145825 147360 152000 153500 171000 174990 176832 182400 184200 186656 191144 196480 209988 215037 218880 221040 228000 230250 233320 235776 238930 245600 262485 273600 276300 279984 286716 288000 291650 294720 304000 307000 342000 345375 349980 353664 358395 364800 368400 373312 382288 392960 419976 430074 437475 442080 453967 456000 460500 466640 477860 491200 524970 547200 552600 559968 573432 583300 589440 597325 608000 614000 684000 690750 699960 707328 716790 729125 736800 746624 764576 839952 860148 874950 884160 907934 912000 921000 933280 955720 982400 1049940 1075185 1094400 1105200 1119936 1146864 1166600 1178880 1194650 1228000 1312425 1361901 1368000 1381500 1399920 1433580 1458250 1473600 1493248 1529152 1679904 1720296 1749900 1768320 1791975 1815868 1824000 1842000 1866560 1911440 1964800 2099880 2150370 2187375 2210400 2239872 2269835 2293728 2333200 2389300 2456000 2624850 2723802 2736000 2763000 2799840 2867160 2916500 2947200 2986625 3058304 3359808 3440592 3499800 3536640 3583950 3631736 3684000 3733120 3822880 4085703 4199760 4300740 4374750 4420800 4479744 4539670 4587456 4666400 4778600 4912000 5249700 5375925 5447604 5472000 5526000 5599680 5734320 5833000 5894400 5973250 6116608 6562125 6719616 6809505 6881184 6999600 7167900 7263472 7335151 7368000 7466240 7645760 8171406 8399520 8601480 8749500 8841600 8959875 9079340 9174912 9332800 9557200 9824000 10499400 10751850 10895208 11052000 11199360 11349175 11468640 11666000 11946500 13124250 13439232 13619010 13762368 13999200 14335800 14526944 14670302 14736000 15291520 16342812 16799040 17202960 17499000 17683200 17919750 18158680 18349824 18665600 19114400 20428515 20998800 21503700 21790416 22005453 22104000 22398720 22698350 22937280 23332000 23893000 26248500 26879625 27238020 27524736 27998400 28671600 29053888 29340604 29472000 30583040 32685624 33598080 34047525 34405920 34998000 35839500 36317360 36675755 37331200 38228800 40857030 41997600 43007400 43580832 44010906 44208000 45396700 45874560 46664000 47786000 52497000 53759250 54476040 55049472 55996800 56745875 57343200 58107776 58681208 65371248 66016359 67196160 68095050 68811840 69996000 71679000 72634720 73351510 76457600 81714060 83995200 86014800 87161664 88021812 88416000 90793400 91749120 93328000 95572000 102142575 104994000 107518500 108952080 110027265 111993600 113491750 114686400 116215552 117362416 130742496 132032718 136190100 137623680 139367869 139992000 143358000 145269440 146703020 152915200 163428120 167990400 170237625 172029600 174323328 176043624 181586800 183378775 186656000 191144000 204285150 209988000 215037000 217904160 220054530 226983500 229372800 234724832 261484992 264065436 272380200 275247360 278735738 279984000 286716000 290538880 293406040 326856240 330081795 335980800 340475250 344059200 348646656 352087248 363173600 366757550 382288000 408570300 418103607 419976000 430074000 435808320 440109060 453967000 458745600 469449664 510712875 522969984 528130872 544760400 550136325 557471476 559968000 573432000 581077760 586812080 653712480 660163590 680950500 688118400 696839345 704174496 726347200 733515100 764576000 817140600 836207214 839952000 860148000 871616640 880218120 907934000 916893875 938899328 1021425750 1045939968 1056261744 1089520800 1100272650 1114942952 1146864000 1173624160 1254310821 1307424960 1320327180 1361901000 1376236800 1393678690 1408348992 1452694400 1467030200 1634281200 1650408975 1672414428 1679904000 1720296000 1743233280 1760436240 1815868000 1833787750 1877798656 2042851500 2090518035 2112523488 2179041600 2200545300 2229885904 2293728000 2347248320 2508621642 2614849920 2640654360 2723802000 2750681625 2787357380 2816697984 2905388800 2934060400 3268562400 3300817950 3344828856 3440592000 3484196725 3520872480 3631736000 3667575500 4085703000 4181036070 4225046976 4358083200 4401090600 4459771808 4694496640 5017243284 5229699840 5281308720 5447604000 5501363250 5574714760 5633395968 5868120800 6271554105 6537124800 6601635900 6689657712 6881184000 6968393450 7041744960 7263472000 7335151000 8171406000 8252044875 8362072140 8450093952 8716166400 8802181200 8919543616 9388993280 10034486568 10452590175 10562617440 10895208000 11002726500 11149429520 11736241600 12543108210 13074249600 13203271800 13379315424 13936786900 14083489920 14526944000 14670302000 16342812000 16504089750 16724144280 16900187904 17420983625 17604362400 17839087232 20068973136 20905180350 21125234880 21790416000 22005453000 22298859040 23472483200 25086216420 26148499200 26406543600 26758630848 27873573800 28166979840 29340604000 31357770525 32685624000 33008179500 33448288560 34841967250 35208724800 35678174464 40137946272 41810360700 42250469760 43580832000 44010906000 44597718080 46944966400 50172432840 52262950875 52813087200 53517261696 55747147600 58681208000 62715541050 65371248000 66016359000 66896577120 69683934500 70417449600 80275892544 83620721400 84500939520 88021812000 89195436160 100344865680 104525901750 105626174400 107034523392 111494295200 117362416000 125431082100 130742496000 132032718000 133793154240 139367869000 140834899200 156788852625 160551785088 167241442800 176043624000 178390872320 200689731360 209051803500 211252348800 222988590400 234724832000 250862164200 264065436000 267586308480 278735738000 313577705250 321103570176 334482885600 352087248000 401379462720 418103607000 422504697600 445977180800 501724328400 528130872000 535172616960 557471476000 627155410500 668965771200 704174496000 802758925440 836207214000 891954361600 1003448656800 1056261744000 1114942952000 1254310821000 1337931542400 1605517850880 1672414428000 2006897313600 2112523488000 2229885904000 2508621642000 2675863084800 3344828856000 4013794627200 4459771808000 5017243284000 6689657712000 8027589254400 10034486568000 13379315424000 20068973136000 40137946272000
• Sum of all divisors σ(n): 152531107048320
• Sum of proper divisors (its aliquot sum) s(n): 112393160776320
• 40137946272000 is an abundant number, because the sum of its proper divisors (112393160776320) is greater than itself. Its abundance is 72255214504320

Bases of 40137946272000

• Binary: 1001001000000101011000000001111001000100000000₂
• Hexadecimal: 0x248158079100
• Base-36: E8748VNK0

Squares and roots of 40137946272000

• 40137946272000 squared (40137946272000²) is 1611054730933958697984000000
• 40137946272000 cubed (40137946272000³) is 64664428231478650599948866715648000000000
• The square root of 40137946272000 is 6335451.5444441685
• The cube root of 40137946272000 is 34238.7879607793

Scales and comparisons

• 40,137,946,272,000 seconds is equal to 1,276,262 years, 27 weeks, 6 days, 8 hours.
• To count from 1 to 40,137,946,272,000 would take you about three million, one hundred ninety thousand, six hundred fifty-six 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 40137946272000 cubic inches would be around 2853.2 feet tall.

Recreational maths with 40137946272000

• 40137946272000 backwards is 00027264973104
• 40137946272000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40137946272000's digits is 45
• More coming soon!