40145824704849600

Names of 40145824704849600

• Cardinal: 40145824704849600 can be written as Forty quadrillion, one hundred forty-five trillion, eight hundred twenty-four billion, seven hundred four million, eight hundred forty-nine thousand, six hundred.

Scientific notation

• Scientific notation: 4.01458247048496 × 10¹⁶

Factors of 40145824704849600

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 4624929

Divisors of 40145824704849600

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 132 150 160 165 176 192 200 220 240 264 275 300 320 330 352 400 440 480 528 550 600 660 704 800 825 880 960 1056 1100 1200 1320 1600 1650 1760 2112 2200 2400 2640 3300 3520 4400 4800 5280 6600 8800 10560 13200 17600 26400 52800 170701 341402 512103 682804 853505 1024206 1365608 1707010 1877711 2048412 2560515 2731216 3414020 3755422 4096824 4267525 4454207 5121030 5462432 5633133 6828040 7510844 8193648 8535050 8908414 9388555 10242060 10924864 11266266 12802575 13362621 13656080 15021688 16387296 17070100 17816828 18777110 20484120 22271035 22532532 25605150 26725242 27312160 28165665 30043376 32774592 34140200 35633656 37554220 40968240 44542070 45065064 46942775 48996277 51210300 53450484 54624320 56331330 60086752 66813105 68280400 71267312 75108440 81936480 89084140 90130128 93885550 97992554 102420600 106900968 111355175 112662660 120173504 133626210 136560800 140828325 142534624 146988831 150216880 163872960 178168280 180260256 187771100 195985108 204841200 213801936 222710350 225325320 244981385 267252420 273121600 281656650 285069248 293977662 300433760 334065525 356336560 360520512 375542200 391970216 409682400 427603872 445420700 450650640 489962770 534504840 563313300 587955324 600867520 668131050 712673120 734944155 751084400 783940432 819364800 855207744 890841400 901301280 979925540 1069009680 1126626600 1175910648 1224906925 1336262100 1425346240 1469888310 1502168800 1567880864 1781682800 1802602560 1959851080 2138019360 2253253200 2351821296 2449813850 2672524200 2939776620 3004337600 3135761728 3563365600 3674720775 3919702160 4276038720 4506506400 4703642592 4899627700 5345048400 5879553240 7126731200 7349441550 7839404320 9013012800 9407285184 9799255400 10690096800 11759106480 14698883100 15678808640 19598510800 21380193600 23518212960 29397766200 39197021600 47036425920 58795532400 78394043200 117591064800 235182129600 760337589107 1520675178214 2281012767321 3041350356428 3801687945535 4562025534642 6082700712856 7603375891070 8363713480177 9124051069284 11405063836605 12165401425712 15206751782140 16727426960354 18248102138568 19008439727675 22810127673210 24330802851424 25091140440531 30413503564280 33454853920708 36496204277136 38016879455350 41818567400885 45620255346420 48661605702848 50182280881062 57025319183025 60827007128560 66909707841416 72992408554272 76033758910700 83637134801770 91240510692840 100364561762124 114050638366050 121654014257120 125455702202655 133819415682832 145984817108544 152067517821400 167274269603540 182481021385680 200729123524248 209092837004425 228101276732100 243308028514240 250911404405310 267638831365664 304135035642800 334548539207080 364962042771360 401458247048496 418185674008850 456202553464200 501822808810620 535277662731328 608270071285600 627278511013275 669097078414160 729924085542720 802916494096992 836371348017700 912405106928400 1003645617621240 1216540142571200 1254557022026550 1338194156828320 1605832988193984 1672742696035400 1824810213856800 2007291235242480 2509114044053100 2676388313656640 3345485392070800 3649620427713600 4014582470484960 5018228088106200 6690970784141600 8029164940969920 10036456176212400 13381941568283200 20072912352424800 40145824704849600
• Sum of all divisors σ(n): 143686430235887616
• Sum of proper divisors (its aliquot sum) s(n): 103540605531038016
• 40145824704849600 is an abundant number, because the sum of its proper divisors (103540605531038016) is greater than itself. Its abundance is 63394780826188416

Bases of 40145824704849600

• Binary: 10001110101000000110101000110100101111110110011011000000₂
• Hexadecimal: 0x8EA06A34BF66C0
• Base-36: AZAI99ISG5C

Squares and roots of 40145824704849600

• 40145824704849600 squared (40145824704849600²) is 1611687241232512472953758620160000
• 40145824704849600 cubed (40145824704849600³) is 64702513465563096124846277259893793756327936000000
• The square root of 40145824704849600 is 200364230.1032038003
• The cube root of 40145824704849600 is 342410.2798856445

Scales and comparisons

• 40,145,824,704,849,600 seconds is equal to 1,276,513,046 years, 22 weeks, 17 hours, 20 minutes.
• To count from 1 to 40,145,824,704,849,600 would take you about three billion, eight hundred twenty-nine million, five hundred thirty-nine thousand, one hundred thirty-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 40145824704849600 cubic inches would be around 28534.2 feet tall.

Recreational maths with 40145824704849600

• 40145824704849600 backwards is 00694840742854104
• 40145824704849600 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40145824704849600's digits is 66
• More coming soon!