40825412031378240
40,825,412,031,378,240 is an even composite number composed of five prime numbers multiplied together.
40825412031378240 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 40825412031378240:
26 × 32 × 5 × 72 × 289295720177
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 289295720177)See below for interesting mathematical facts about the number 40825412031378240 from the Numbermatics database.
Names of 40825412031378240
- Cardinal: 40825412031378240 can be written as Forty quadrillion, eight hundred twenty-five trillion, four hundred twelve billion, thirty-one million, three hundred seventy-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 4.082541203137824 × 1016
Factors of 40825412031378240
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 289295720194
Divisors of 40825412031378240
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 140 144 147 160 168 180 192 196 210 224 240 245 252 280 288 294 315 320 336 360 392 420 441 448 480 490 504 560 576 588 630 672 720 735 784 840 882 960 980 1008 1120 1176 1260 1344 1440 1470 1568 1680 1764 1960 2016 2205 2240 2352 2520 2880 2940 3136 3360 3528 3920 4032 4410 4704 5040 5880 6720 7056 7840 8820 9408 10080 11760 14112 15680 17640 20160 23520 28224 35280 47040 70560 141120 289295720177 578591440354 867887160531 1157182880708 1446478600885 1735774321062 2025070041239 2314365761416 2603661481593 2892957201770 3471548642124 4050140082478 4339435802655 4628731522832 5207322963186 5785914403540 6075210123717 6943097284248 8100280164956 8678871605310 9257463045664 10125350206195 10414645926372 11571828807080 12150420247434 13018307407965 13886194568496 14175490288673 16200560329912 17357743210620 18225630371151 18514926091328 20250700412390 20829291852744 23143657614160 24300840494868 26036614815930 27772389136992 28350980577346 30376050618585 32401120659824 34715486421240 36451260742302 40501400824780 41658583705488 42526470866019 46287315228320 48601680989736 52073229631860 55544778273984 56701961154692 60752101237170 64802241319648 69430972842480 70877451443365 72902521484604 81002801649560 83317167410976 85052941732038 91128151855755 92574630456640 97203361979472 104146459263720 113403922309384 121504202474340 127579412598057 129604482639296 138861945684960 141754902886730 145805042969208 162005603299120 166634334821952 170105883464076 182256303711510 194406723958944 208292918527440 212632354330095 226807844618768 243008404948680 255158825196114 277723891369920 283509805773460 291610085938416 324011206598240 340211766928152 364512607423020 388813447917888 416585837054880 425264708660190 453615689237536 486016809897360 510317650392228 567019611546920 583220171876832 637897062990285 648022413196480 680423533856304 729025214846040 833171674109760 850529417320380 907231378475072 972033619794720 1020635300784456 1134039223093840 1166440343753664 1275794125980570 1360847067712608 1458050429692080 1701058834640760 1944067239589440 2041270601568912 2268078446187680 2551588251961140 2721694135425216 2916100859384160 3402117669281520 4082541203137824 4536156892375360 5103176503922280 5832201718768320 6804235338563040 8165082406275648 10206353007844560 13608470677126080 20412706015689120 40825412031378240
- Sum of all divisors σ(n): 163348514032746276
- Sum of proper divisors (its aliquot sum) s(n): 122523102001368036
- 40825412031378240 is an abundant number, because the sum of its proper divisors (122523102001368036) is greater than itself. Its abundance is 81697689969989796
Bases of 40825412031378240
- Binary: 100100010000101001111110111101011111000001110011010000002
- Hexadecimal: 0x910A7EF5F07340
- Base-36: B5ZEFDEKWG0
Squares and roots of 40825412031378240
- 40825412031378240 squared (408254120313782402) is 1666714267531803152654353945497600
- 40825412031378240 cubed (408254120313782403) is 68044296710562647108050020375510020157970612224000
-
The
square root of 40825412031378240 is 202052993.1265019395 -
The
cube root of 40825412031378240 is 344331.5827516355
Scales and comparisons
How big is 40825412031378240?- 40,825,412,031,378,240 seconds is equal to 1,298,121,821 years, 15 weeks, 6 days, 18 hours, 24 minutes.
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To count from 1 to 40,825,412,031,378,240 would take you about three billion, eight hundred ninety-four million, three hundred sixty-five thousand, four hundred sixty-three 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 40825412031378240 cubic inches would be around 28694.3 feet tall.
Recreational maths with 40825412031378240
- 40825412031378240 backwards is 04287313021452804
- The number of decimal digits it has is: 17
- The sum of 40825412031378240's digits is 54
- More coming soon!
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