414138816
414,138,816 is an even composite number composed of five prime numbers multiplied together.
414138816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 414138816:
26 × 32 × 7 × 13 × 7901
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 7901)See below for interesting mathematical facts about the number 414138816 from the Numbermatics database.
Names of 414138816
- Cardinal: 414138816 can be written as Four hundred fourteen million, one hundred thirty-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 4.14138816 × 108
Factors of 414138816
Divisors of 414138816
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 144 156 168 182 192 208 224 234 252 273 288 312 336 364 416 448 468 504 546 576 624 672 728 819 832 936 1008 1092 1248 1344 1456 1638 1872 2016 2184 2496 2912 3276 3744 4032 4368 5824 6552 7488 7901 8736 13104 15802 17472 23703 26208 31604 47406 52416 55307 63208 71109 94812 102713 110614 126416 142218 165921 189624 205426 221228 252832 284436 308139 331842 379248 410852 442456 497763 505664 568872 616278 663684 718991 758496 821704 884912 924417 995526 1137744 1232556 1327368 1437982 1516992 1643408 1769824 1848834 1991052 2156973 2275488 2465112 2654736 2875964 3286816 3539648 3697668 3982104 4313946 4550976 4930224 5309472 5751928 6470919 6573632 7395336 7964208 8627892 9860448 10618944 11503856 12941838 14790672 15928416 17255784 19720896 23007712 25883676 29581344 31856832 34511568 46015424 51767352 59162688 69023136 103534704 138046272 207069408 414138816
- Sum of all divisors σ(n): 1461174624
- Sum of proper divisors (its aliquot sum) s(n): 1047035808
- 414138816 is an abundant number, because the sum of its proper divisors (1047035808) is greater than itself. Its abundance is 632896992
Bases of 414138816
- Binary: 110001010111101000001110000002
- Hexadecimal: 0x18AF41C0
- Base-36: 6UKFK0
Squares and roots of 414138816
- 414138816 squared (4141388162) is 171510958917881856
- 414138816 cubed (4141388163) is 71029345457276233071722496
-
The
square root of 414138816 is 20350.4008805723 -
The
cube root of 414138816 is 745.3872832863
Scales and comparisons
How big is 414138816?- 414,138,816 seconds is equal to 13 years, 8 weeks, 5 days, 6 hours, 33 minutes, 36 seconds.
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To count from 1 to 414,138,816 would take you about nineteen 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 414138816 cubic inches would be around 62.1 feet tall.
Recreational maths with 414138816
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