400742633893870800

Names of 400742633893870800

• Cardinal: 400742633893870800 can be written as Four hundred quadrillion, seven hundred forty-two trillion, six hundred thirty-three billion, eight hundred ninety-three million, eight hundred seventy thousand, eight hundred.

Scientific notation

• Scientific notation: 4.007426338938708 × 10¹⁷

Factors of 400742633893870800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 15902485471996

Divisors of 400742633893870800

• Number of divisors d(n): 180
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 35 36 40 42 45 48 50 56 60 63 70 72 75 80 84 90 100 105 112 120 126 140 144 150 168 175 180 200 210 225 240 252 280 300 315 336 350 360 400 420 450 504 525 560 600 630 700 720 840 900 1008 1050 1200 1260 1400 1575 1680 1800 2100 2520 2800 3150 3600 4200 5040 6300 8400 12600 25200 15902485471979 31804970943958 47707456415937 63609941887916 79512427359895 95414912831874 111317398303853 127219883775832 143122369247811 159024854719790 190829825663748 222634796607706 238537282079685 254439767551664 286244738495622 318049709439580 333952194911559 381659651327496 397562136799475 445269593215412 477074564159370 556586991519265 572489476991244 636099418879160 667904389823118 715611846239055 763319302654992 795124273598950 890539186430824 954149128318740 1001856584734677 1113173983038530 1144978953982488 1192686410398425 1272198837758320 1335808779646236 1431223692478110 1590248547197900 1669760974557795 1781078372861648 1908298256637480 2003713169469354 2226347966077060 2289957907964976 2385372820796850 2671617559292472 2782934957596325 2862447384956220 3180497094395800 3339521949115590 3578059231195275 3816596513274960 4007426338938708 4452695932154120 4770745641593700 5009282923673385 5343235118584944 5565869915192650 5724894769912440 6360994188791600 6679043898231180 7156118462390550 8014852677877416 8348804872788975 8905391864308240 9541491283187400 10018565847346770 11131739830385300 11449789539824880 13358087796462360 14312236924781100 16029705355754832 16697609745577950 19082982566374800 20037131694693540 22263479660770600 25046414618366925 26716175592924720 28624473849562200 33395219491155900 40074263389387080 44526959321541200 50092829236733850 57248947699124400 66790438982311800 80148526778774160 100185658473467700 133580877964623600 200371316946935400 400742633893870800
• Sum of all divisors σ(n): 1589358008011569120
• Sum of proper divisors (its aliquot sum) s(n): 1188615374117698320
• 400742633893870800 is an abundant number, because the sum of its proper divisors (1188615374117698320) is greater than itself. Its abundance is 787872740223827520

Bases of 400742633893870800

• Binary: 10110001111101110010100110101100011100110010011110011010000₂
• Hexadecimal: 0x58FB94D63993CD0
• Base-36: 31LVEOI080K0

Squares and roots of 400742633893870800

• 400742633893870800 squared (400742633893870800²) is 160594658620196965706637807092640000
• 400742633893870800 cubed (400742633893870800³) is 64357126484744754992451098285415530457263790912000000
• The square root of 400742633893870800 is 633042363.4274966909
• The cube root of 400742633893870800 is 737261.9989390849

Scales and comparisons

• 400,742,633,893,870,800 seconds is equal to 12,742,376,179 years, 24 weeks, 3 days, 5 hours.
• To count from 1 to 400,742,633,893,870,800 would take you about thirty-eight billion, two hundred twenty-seven million, one hundred twenty-eight thousand, five hundred thirty-eight 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 400742633893870800 cubic inches would be around 61438.5 feet tall.

Recreational maths with 400742633893870800

• 400742633893870800 backwards is 008078398336247004
• 400742633893870800 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 400742633893870800's digits is 72
• More coming soon!