4085041440144000
4,085,041,440,144,000 is an even composite number composed of seven prime numbers multiplied together.
4085041440144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 4085041440144000:
27 × 3 × 53 × 73 × 29 × 673 × 12713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 29 × 673 × 12713)See below for interesting mathematical facts about the number 4085041440144000 from the Numbermatics database.
Names of 4085041440144000
- Cardinal: 4085041440144000 can be written as Four quadrillion, eighty-five trillion, forty-one billion, four hundred forty million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.085041440144 × 1015
Factors of 4085041440144000
Divisors of 4085041440144000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 48 49 50 56 58 60 64 70 75 80 84 87 96 98 100 105 112 116 120 125 128 140 145 147 150 160 168 174 175 192 196 200 203 210 224 232 240 245 250 280 290 294 300 320 336 343 348 350 375 384 392 400 406 420 435 448 464 480 490 500 525 560 580 588 600 609 640 672 673 686 696 700 725 735 750 784 800 812 840 870 875 896 928 960 980 1000 1015 1029 1050 1120 1160 1176 1200 1218 1225 1344 1346 1372 1392 1400 1421 1450 1470 1500 1568 1600 1624 1680 1715 1740 1750 1856 1920 1960 2000 2019 2030 2058 2100 2175 2240 2320 2352 2400 2436 2450 2625 2688 2692 2744 2784 2800 2842 2900 2940 3000 3045 3136 3200 3248 3360 3365 3430 3480 3500 3625 3675 3712 3920 4000 4038 4060 4116 4200 4263 4350 4480 4640 4704 4711 4800 4872 4900 5075 5145 5250 5384 5488 5568 5600 5684 5800 5880 6000 6090 6125 6272 6496 6720 6730 6860 6960 7000 7105 7250 7350 7840 8000 8076 8120 8232 8400 8526 8575 8700 9280 9408 9422 9600 9744 9800 9947 10095 10150 10290 10500 10768 10875 10976 11136 11200 11368 11600 11760 12000 12180 12250 12713 12992 13440 13460 13720 13920 14000 14133 14210 14500 14700 15225 15680 16000 16152 16240 16464 16800 16825 17052 17150 17400 18375 18560 18816 18844 19488 19517 19600 19894 20190 20300 20580 21000 21315 21536 21750 21952 22400 22736 23200 23520 23555 24000 24360 24500 25375 25426 25725 25984 26920 27440 27840 28000 28266 28420 29000 29400 29841 30450 31360 32304 32480 32928 32977 33600 33650 34104 34300 34800 35525 36750 37688 38139 38976 39034 39200 39788 40380 40600 41160 42000 42630 42875 43072 43500 43904 45472 46400 47040 47110 48000 48720 49000 49735 50475 50750 50852 51450 53840 54880 55680 56000 56532 56840 58000 58551 58800 59682 60900 63565 64608 64960 65856 65954 67200 67300 68208 68600 69600 70665 71050 73500 75376 76125 76278 77952 78068 78400 79576 80760 81200 82320 84000 84125 85260 85750 86144 87000 88991 90944 92800 94080 94220 97440 97585 98000 98931 99470 100950 101500 101704 102900 106575 107680 109760 112000 113064 113680 116000 117102 117600 117775 119364 121800 127130 128625 129216 129920 131712 131908 134600 136416 136619 137200 139200 141330 142100 147000 149205 150752 152250 152556 156136 156800 159152 161520 162400 164640 164885 168000 168250 170520 171500 174000 177625 177982 181888 188440 190695 194880 195170 196000 197862 198940 201900 203000 203408 205800 213150 215360 219520 226128 227360 230839 232000 234204 235200 235550 238728 243600 248675 252375 254260 257250 258432 263816 266973 269200 272832 273238 274400 278400 282660 284200 292755 294000 298410 301504 304500 305112 312272 317825 318304 323040 324800 329280 329770 336000 336500 341040 343000 348000 353325 355250 355964 368677 376880 381390 389760 390340 392000 395724 397880 403800 406000 406816 409857 411600 426300 430720 444955 452256 454720 461678 464000 468408 470400 471100 477456 487200 487925 494655 497350 504750 508520 514500 527632 532875 533946 538400 545664 546476 548800 565320 568400 585510 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1984956968000 2012335684800 2023299376000 2042520720072 2084204816400 2127625750075 2200992155250 2334309394368 2347724965600 2381948361600 2431572285800 2515419606000 2553150900090 2605256020500 2723360960096 2778939755200 2817269958720 2874765264000 2917886742960 2934656207000 2977435452000 3034949064000 3039465357250 3334727706240 3353892808000 3404201200120 3473674694000 3521587448400 3647358428700 3890515657280 3969913936000 4024671369600 4085041440144 4168409632800 4255251500150 4401984310500 4559198035875 4668618788736 4695449931200 4863144571600 5030839212000 5106301800180 5210512041000 5446721920192 5557879510400 5634539917440 5835773485920 5869312414000 5954870904000 6069898128000 6078930714500 6382877250225 6707785616000 6808402400240 6947349388000 7043174896800 7294716857400 7781031314560 8170082880288 8336819265600 8510503000300 8803968621000 9118396071750 9390899862400 9726289143200 10061678424000 10212603600360 10421024082000 10638128750375 10893443840384 11671546971840 11738624828000 11909741808000 12157861429000 12765754500450 13616804800480 13894698776000 14086349793600 14589433714800 16340165760576 16673638531200 17021006000600 17607937242000 18236792143500 19452578286400 20123356848000 20425207200720 20842048164000 21276257500750 23343093943680 23477249656000 24315722858000 25531509000900 27233609600960 27789397552000 28172699587200 29178867429600 31914386251125 32680331521152 34042012001200 35215874484000 36473584287000 38905156572800 40850414401440 41684096328000 42552515001500 46954499312000 48631445716000 51063018001800 54467219201920 58357734859200 63828772502250 68084024002400 70431748968000 72947168574000 81700828802880 83368192656000 85105030003000 97262891432000 102126036003600 116715469718400 127657545004500 136168048004800 140863497936000 145894337148000 163401657605760 170210060006000 194525782864000 204252072007200 255315090009000 272336096009600 291788674296000 340420120012000 408504144014400 510630180018000 583577348592000 680840240024000 817008288028800 1021260360036000 1361680480048000 2042520720072000 4085041440144000
- Sum of all divisors σ(n): 16362441987840000
- Sum of proper divisors (its aliquot sum) s(n): 12277400547696000
- 4085041440144000 is an abundant number, because the sum of its proper divisors (12277400547696000) is greater than itself. Its abundance is 8192359107552000
Bases of 4085041440144000
- Binary: 11101000001101010010110100111110111010111010100000002
- Hexadecimal: 0xE8352D3EEBA80
- Base-36: 1480Y4OTF9C
Squares and roots of 4085041440144000
- 4085041440144000 squared (40850414401440002) is 16687563567693765534740736000000
- 4085041440144000 cubed (40850414401440003) is 68169388709066286592807568453102505984000000000
-
The
square root of 4085041440144000 is 63914328.9110039861 -
The
cube root of 4085041440144000 is 159857.1829770835
Scales and comparisons
How big is 4085041440144000?- 4,085,041,440,144,000 seconds is equal to 129,891,681 years, 48 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 4,085,041,440,144,000 would take you about three hundred eighty-nine million, six hundred seventy-five thousand and forty-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 4085041440144000 cubic inches would be around 13321.4 feet tall.
Recreational maths with 4085041440144000
- 4085041440144000 backwards is 0004410441405804
- The number of decimal digits it has is: 16
- The sum of 4085041440144000's digits is 39
- More coming soon!
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The information we have on file for 4085041440144000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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