135416442800
135,416,442,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 135416442800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
135416442800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 135416442800:
24 × 52 × 192 × 43 × 113 × 193
(2 × 2 × 2 × 2 × 5 × 5 × 19 × 19 × 43 × 113 × 193)See below for interesting mathematical facts about the number 135416442800 from the Numbermatics database.
Names of 135416442800
- Cardinal: 135416442800 can be written as One hundred thirty-five billion, four hundred sixteen million, four hundred forty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.354164428 × 1011
Factors of 135416442800
Divisors of 135416442800
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 38 40 43 50 76 80 86 95 100 113 152 172 190 193 200 215 226 304 344 361 380 386 400 430 452 475 565 688 722 760 772 817 860 904 950 965 1075 1130 1444 1520 1544 1634 1720 1805 1808 1900 1930 2147 2150 2260 2825 2888 3088 3268 3440 3610 3667 3800 3860 4085 4294 4300 4520 4825 4859 5650 5776 6536 7220 7334 7600 7720 8170 8299 8588 8600 9025 9040 9650 9718 10735 11300 13072 14440 14668 15440 15523 16340 16598 17176 17200 18050 18335 19300 19436 20425 21470 21809 22600 24295 28880 29336 31046 32680 33196 34352 36100 36670 38600 38872 40793 40850 41495 42940 43618 45200 48590 53675 58672 62092 65360 66392 69673 72200 73340 77200 77615 77744 81586 81700 82990 85880 87236 91675 92321 97180 107350 109045 121475 124184 132784 139346 144400 146680 155230 157681 163172 163400 165980 171760 174472 183350 184642 194360 203965 207475 214700 218090 242950 248368 278692 293360 310460 315362 326344 326800 331960 348365 348944 366700 369284 388075 388720 407930 414371 414950 429400 436180 461605 485900 545225 557384 620920 630724 652688 663920 696730 733400 738568 776150 788405 815860 828742 829900 858800 872360 923210 937787 971800 1019825 1090450 1114768 1241840 1261448 1393460 1466800 1477136 1552300 1576810 1631720 1657484 1659800 1741825 1744720 1754099 1846420 1875574 1943600 2039650 2071855 2180900 2308025 2522896 2786920 2995939 3104600 3153620 3263440 3314968 3319600 3483650 3508198 3692840 3751148 3942025 4079300 4143710 4361800 4616050 4688935 5573840 5991878 6209200 6307240 6629936 6967300 7016396 7385680 7502296 7873049 7884050 8158600 8287420 8723600 8770495 9232100 9377870 10359275 11983756 12614480 13934600 14032792 14979695 15004592 15746098 15768100 16317200 16574840 17540990 17817953 18464200 18755740 20718550 23444675 23967512 27869200 28065584 29959390 31492196 31536200 33149680 35081980 35635906 36928400 37511480 39365245 41437100 43852475 46889350 47935024 59918780 62984392 63072400 70163960 71271812 74898475 75022960 78730490 82874200 87704950 89089765 93778700 119837560 125968784 140327920 142543624 149796950 157460980 165748400 175409900 178179530 187557400 196826225 239675120 285087248 299593900 314921960 338541107 350819800 356359060 375114800 393652450 445448825 599187800 629843920 677082214 701639600 712718120 787304900 890897650 1198375600 1354164428 1425436240 1574609800 1692705535 1781795300 2708328856 3149219600 3385411070 3563590600 5416657712 6770822140 7127181200 8463527675 13541644280 16927055350 27083288560 33854110700 67708221400 135416442800
- Sum of all divisors σ(n): 356293271664
- Sum of proper divisors (its aliquot sum) s(n): 220876828864
- 135416442800 is an abundant number, because the sum of its proper divisors (220876828864) is greater than itself. Its abundance is 85460386064
Bases of 135416442800
- Binary: 11111100001110111001011101111101100002
- Hexadecimal: 0x1F8772EFB0
- Base-36: 1Q7JGBZK
Squares and roots of 135416442800
- 135416442800 squared (1354164428002) is 18337612980605671840000
- 135416442800 cubed (1354164428003) is 2483214319276725470076930752000000
-
The
square root of 135416442800 is 367989.7319219655 -
The
cube root of 135416442800 is 5135.1972933377
Scales and comparisons
How big is 135416442800?- 135,416,442,800 seconds is equal to 4,305 years, 42 weeks, 5 days, 22 hours, 33 minutes, 20 seconds.
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To count from 1 to 135,416,442,800 would take you about eight thousand, six hundred eleven 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 135416442800 cubic inches would be around 427.9 feet tall.
Recreational maths with 135416442800
- 135416442800 backwards is 008244614531
- 135416442800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135416442800's digits is 38
- More coming soon!
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The information we have on file for 135416442800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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