| Base | Representation |
|---|---|
| bin | 100011101101101111011111… |
| … | …0111000110011011101010000 |
| 3 | 1112012022110001022212002022200 |
| 4 | 1013123132332320303131100 |
| 5 | 312134013142321240300 |
| 6 | 3032050303211203200 |
| 7 | 123112405513611426 |
| oct | 10733367670633520 |
| 9 | 1465273038762280 |
| 10 | 314149995493200 |
| 11 | 911092a0645229 |
| 12 | 2b298459a46500 |
| 13 | 1063a2a99baa69 |
| 14 | 5780d25c01116 |
| 15 | 264bb67c4b200 |
| hex | 11db7bee33750 |
314149995493200 has 720 divisors, whose sum is σ = 1177708997424960. Its totient is φ = 77256379514880.
The previous prime is 314149995493127. The next prime is 314149995493237. The reversal of 314149995493200 is 2394599941413.
314149995493200 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 499 + 9 + 54 + 93 + 2 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×3141499954932002 (a number of 30 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1108373902 + ... + 1108657298.
It is an arithmetic number, because the mean of its divisors is an integer number (1635706940868).
Almost surely, 2314149995493200 is an apocalyptic number.
314149995493200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 314149995493200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588854498712480).
314149995493200 is an abundant number, since it is smaller than the sum of its proper divisors (863559001931760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
314149995493200 is a wasteful number, since it uses less digits than its factorization.
314149995493200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 283804 (or 283790 counting only the distinct ones).
The product of its (nonzero) digits is 37791360, while the sum is 63.
The spelling of 314149995493200 in words is "three hundred fourteen trillion, one hundred forty-nine billion, nine hundred ninety-five million, four hundred ninety-three thousand, two hundred".
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