40634126128070400
40,634,126,128,070,400 is an even composite number composed of five prime numbers multiplied together.
40634126128070400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 40634126128070400:
28 × 3 × 52 × 79 × 26789376403
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 79 × 26789376403)See below for interesting mathematical facts about the number 40634126128070400 from the Numbermatics database.
Names of 40634126128070400
- Cardinal: 40634126128070400 can be written as Forty quadrillion, six hundred thirty-four trillion, one hundred twenty-six billion, one hundred twenty-eight million, seventy thousand, four hundred.
Scientific notation
- Scientific notation: 4.06341261280704 × 1016
Factors of 40634126128070400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 26789376492
Divisors of 40634126128070400
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 79 80 96 100 120 128 150 158 160 192 200 237 240 256 300 316 320 384 395 400 474 480 600 632 640 768 790 800 948 960 1185 1200 1264 1280 1580 1600 1896 1920 1975 2370 2400 2528 3160 3200 3792 3840 3950 4740 4800 5056 5925 6320 6400 7584 7900 9480 9600 10112 11850 12640 15168 15800 18960 19200 20224 23700 25280 30336 31600 37920 47400 50560 60672 63200 75840 94800 101120 126400 151680 189600 252800 303360 379200 505600 758400 1516800 26789376403 53578752806 80368129209 107157505612 133946882015 160736258418 214315011224 267893764030 321472516836 401840646045 428630022448 535787528060 642945033672 669734410075 803681292090 857260044896 1071575056120 1285890067344 1339468820150 1607362584180 1714520089792 2009203230225 2116360735837 2143150112240 2571780134688 2678937640300 3214725168360 3429040179584 4018406460450 4232721471674 4286300224480 5143560269376 5357875280600 6349082207511 6429450336720 6858080359168 8036812920900 8465442943348 8572600448960 10287120538752 10581803679185 10715750561200 12698164415022 12858900673440 16073625841800 16930885886696 17145200897920 20574241077504 21163607358370 21431501122400 25396328830044 25717801346880 31745411037555 32147251683600 33861771773392 34290401795840 42327214716740 42863002244800 50792657660088 51435602693760 52909018395925 63490822075110 64294503367200 67723543546784 84654429433480 85726004489600 101585315320176 102871205387520 105818036791850 126981644150220 128589006734400 135447087093568 158727055187775 169308858866960 171452008979200 203170630640352 211636073583700 253963288300440 257178013468800 270894174187136 317454110375550 338617717733920 406341261280704 423272147167400 507926576600880 514356026937600 541788348374272 634908220751100 677235435467840 812682522561408 846544294334800 1015853153201760 1269816441502200 1354470870935680 1625365045122816 1693088588669600 2031706306403520 2539632883004400 2708941741871360 3386177177339200 4063412612807040 5079265766008800 6772354354678400 8126825225614080 10158531532017600 13544708709356800 20317063064035200 40634126128070400
- Sum of all divisors σ(n): 135798563717044480
- Sum of proper divisors (its aliquot sum) s(n): 95164437588974080
- 40634126128070400 is an abundant number, because the sum of its proper divisors (95164437588974080) is greater than itself. Its abundance is 54530311460903680
Bases of 40634126128070400
- Binary: 100100000101110010000101101111011001111100111111000000002
- Hexadecimal: 0x905C85BD9F3F00
- Base-36: B43LFUALUDC
Squares and roots of 40634126128070400
- 40634126128070400 squared (406341261280704002) is 1651132206191933557342827356160000
- 40634126128070400 cubed (406341261280704003) is 67092314320522170452580079448771152794353664000000
-
The
square root of 40634126128070400 is 201579081.5736355119 -
The
cube root of 40634126128070400 is 343792.9564916479
Scales and comparisons
How big is 40634126128070400?- 40,634,126,128,070,400 seconds is equal to 1,292,039,521 years, 13 weeks, 6 days, 13 hours, 20 minutes.
-
To count from 1 to 40,634,126,128,070,400 would take you about three billion, eight hundred seventy-six million, one hundred eighteen thousand, five 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 40634126128070400 cubic inches would be around 28649.4 feet tall.
Recreational maths with 40634126128070400
- 40634126128070400 backwards is 00407082162143604
- 40634126128070400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40634126128070400's digits is 48
- More coming soon!
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