40152234974400

Names of 40152234974400

• Cardinal: 40152234974400 can be written as Forty trillion, one hundred fifty-two billion, two hundred thirty-four million, nine hundred seventy-four thousand, four hundred.

Scientific notation

• Scientific notation: 4.01522349744 × 10¹³

Factors of 40152234974400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3176

Divisors of 40152234974400

• Number of divisors d(n): 378
• 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 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1187 1200 1440 1600 1800 1979 2374 2400 2880 3561 3600 3958 4748 4800 5935 5937 7122 7200 7916 9496 9895 10683 11870 11874 14244 14400 15832 17805 17811 18992 19790 21366 23740 23748 28488 29675 29685 31664 35610 35622 37984 39580 42732 47480 47496 49475 53415 56976 59350 59370 63328 71220 71244 75968 79160 85464 89025 89055 94960 94992 98950 106830 113952 118700 118740 126656 142440 142488 148425 158320 170928 178050 178110 189920 189984 197900 213660 227904 237400 237480 267075 284880 284976 296850 316640 341856 356100 356220 379840 379968 395800 427320 445275 474800 474960 534150 569760 569952 593700 633280 683712 712200 712440 791600 854640 890550 949600 949920 1068300 1139520 1139904 1187400 1408969 1424400 1424880 1583200 1709280 1781100 1899200 1899840 2136600 2349073 2374800 2817938 2848800 2849760 3166400 3418560 3562200 4226907 4273200 4698146 4749600 5635876 5697600 5699520 7044845 7047219 7124400 8453814 8546400 9396292 9499200 11271752 11745365 12680721 14089690 14094438 14248800 16907628 17092800 18792584 21134535 21141657 22543504 23490730 25361442 28179380 28188876 28497600 33815256 35224225 35236095 37585168 42269070 42283314 45087008 46981460 50722884 56358760 56377752 58726825 63403605 67630512 70448450 70472190 75170336 84538140 84566628 90174016 93962920 101445768 105672675 105708285 112717520 112755504 117453650 126807210 135261024 140896900 140944380 150340672 169076280 169133256 176180475 187925840 202891536 211345350 211416570 225435040 225511008 234907300 253614420 270522048 281793800 281888760 317018025 338152560 338266512 352360950 375851680 405783072 422690700 422833140 450870080 451022016 469814600 507228840 528541425 563587600 563777520 634036050 676305120 676533024 704721900 751703360 811566144 845381400 845666280 939629200 1014457680 1057082850 1127175200 1127555040 1268072100 1352610240 1353066048 1409443800 1690762800 1691332560 1879258400 2028915360 2114165700 2254350400 2255110080 2536144200 2788349651 2818887600 3381525600 3382665120 3758516800 4057830720 4228331400 5072288400 5576699302 5637775200 6763051200 6765330240 8365048953 8456662800 10144576800 11153398604 11275550400 13941748255 16730097906 16913325600 20289153600 22306797208 25095146859 27883496510 33460195812 33826651200 41825244765 44613594416 50190293718 55766993020 66920391624 69708741275 83650489530 89227188832 100380587436 111533986040 125475734295 133840783248 139417482550 167300979060 178454377664 200761174872 209126223825 223067972080 250951468590 267681566496 278834965100 334601958120 401522349744 418252447650 446135944160 501902937180 535363132992 557669930200 627378671475 669203916240 803044699488 836504895300 892271888320 1003805874360 1115339860400 1254757342950 1338407832480 1606089398976 1673009790600 2007611748720 2230679720800 2509514685900 2676815664960 3346019581200 4015223497440 4461359441600 5019029371800 6692039162400 8030446994880 10038058743600 13384078324800 20076117487200 40152234974400
• Sum of all divisors σ(n): 142903025925660
• Sum of proper divisors (its aliquot sum) s(n): 102750790951260
• 40152234974400 is an abundant number, because the sum of its proper divisors (102750790951260) is greater than itself. Its abundance is 62598555976860

Bases of 40152234974400

• Binary: 1001001000010010101011101100111101110011000000₂
• Hexadecimal: 0x2484ABB3DCC0
• Base-36: E8DOK04W0

Squares and roots of 40152234974400

• 40152234974400 squared (40152234974400²) is 1612201973439430568655360000
• 40152234974400 cubed (40152234974400³) is 64733512463731403938784226172022784000000
• The square root of 40152234974400 is 6336579.1223971945
• The cube root of 40152234974400 is 34242.8503660195

Scales and comparisons

• 40,152,234,974,400 seconds is equal to 1,276,716 years, 45 weeks, 2 days, 20 hours.
• To count from 1 to 40,152,234,974,400 would take you about three million, one hundred ninety-one thousand, seven hundred ninety-two 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 40152234974400 cubic inches would be around 2853.6 feet tall.

Recreational maths with 40152234974400

• 40152234974400 backwards is 00447943225104
• 40152234974400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40152234974400's digits is 45
• More coming soon!