3998146864104768
3,998,146,864,104,768 is an even composite number composed of five prime numbers multiplied together.
What does the number 3998146864104768 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 112 divisors.
3998146864104768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 3998146864104768:
26 × 3 × 29 × 157 × 4573617743
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 29 × 157 × 4573617743)See below for interesting mathematical facts about the number 3998146864104768 from the Numbermatics database.
Names of 3998146864104768
- Cardinal: 3998146864104768 can be written as Three quadrillion, nine hundred ninety-eight trillion, one hundred forty-six billion, eight hundred sixty-four million, one hundred four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 3.998146864104768 × 1015
Factors of 3998146864104768
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 4573617934
Divisors of 3998146864104768
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 157 174 192 232 314 348 464 471 628 696 928 942 1256 1392 1856 1884 2512 2784 3768 4553 5024 5568 7536 9106 10048 13659 15072 18212 27318 30144 36424 54636 72848 109272 145696 218544 291392 437088 874176 4573617743 9147235486 13720853229 18294470972 27441706458 36588941944 54883412916 73177883888 109766825832 132634914547 146355767776 219533651664 265269829094 292711535552 397904743641 439067303328 530539658188 718057985651 795809487282 878134606656 1061079316376 1436115971302 1591618974564 2122158632752 2154173956953 2872231942604 3183237949128 4244317265504 4308347913906 5744463885208 6366475898256 8488634531008 8616695827812 11488927770416 12732951796512 17233391655624 20823681583879 22977855540832 25465903593024 34466783311248 41647363167758 45955711081664 62471044751637 68933566622496 83294726335516 124942089503274 137867133244992 166589452671032 249884179006548 333178905342064 499768358013096 666357810684128 999536716026192 1332715621368256 1999073432052384 3998146864104768
- Sum of all divisors σ(n): 11012905638132480
- Sum of proper divisors (its aliquot sum) s(n): 7014758774027712
- 3998146864104768 is an abundant number, because the sum of its proper divisors (7014758774027712) is greater than itself. Its abundance is 3016611909922944
Bases of 3998146864104768
- Binary: 11100011010001001011000110111001100001000101010000002
- Hexadecimal: 0xE344B1B984540
- Base-36: 13D83B9SMDC
Squares and roots of 3998146864104768
- 3998146864104768 squared (39981468641047682) is 15985178346950790197306080333824
- 3998146864104768 cubed (39981468641047683) is 63911090680016740954734586722201862152350072832
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The
square root of 3998146864104768 is 63230901.1805522823 -
The
cube root of 3998146864104768 is 158715.5874946311
Scales and comparisons
How big is 3998146864104768?- 3,998,146,864,104,768 seconds is equal to 127,128,703 years, 10 weeks, 2 days, 4 hours, 12 minutes, 48 seconds.
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To count from 1 to 3,998,146,864,104,768 would take you about three hundred eighty-one million, three hundred eighty-six thousand, one hundred nine 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 3998146864104768 cubic inches would be around 13226.3 feet tall.
Recreational maths with 3998146864104768
- 3998146864104768 backwards is 8674014686418993
- The number of decimal digits it has is: 16
- The sum of 3998146864104768's digits is 84
- More coming soon!
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