| Base | Representation |
|---|---|
| bin | 1111011101111011000000… |
| … | …00000111101101101000000 |
| 3 | 11110102122200021212220211200 |
| 4 | 13232331200000331231000 |
| 5 | 13424234024430214441 |
| 6 | 200201322200541200 |
| 7 | 10110251112123030 |
| oct | 756754000755500 |
| 9 | 143378607786750 |
| 10 | 34013456882496 |
| 11 | a924031754713 |
| 12 | 3994051a81800 |
| 13 | 15c95bc175c40 |
| 14 | 85838d9c58c0 |
| 15 | 3deb7c3837b6 |
| hex | 1eef6003db40 |
34013456882496 has 1008 divisors, whose sum is σ = 129060195788160. Its totient is φ = 8317090160640.
The previous prime is 34013456882479. The next prime is 34013456882497. The reversal of 34013456882496 is 69428865431043.
34013456882496 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 3 + 4 + 5 + 68 + 82 + 496 = 666.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a super-2 number, since 2×340134568824962 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34013456882497) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2199944206 + ... + 2199959666.
It is an arithmetic number, because the mean of its divisors is an integer number (128035908520).
Almost surely, 234013456882496 is an apocalyptic number.
34013456882496 is a gapful number since it is divisible by the number (36) 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 34013456882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64530097894080).
34013456882496 is an abundant number, since it is smaller than the sum of its proper divisors (95046738905664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34013456882496 is a wasteful number, since it uses less digits than its factorization.
34013456882496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15612 (or 15552 counting only the distinct ones).
The product of its (nonzero) digits is 119439360, while the sum is 63.
The spelling of 34013456882496 in words is "thirty-four trillion, thirteen billion, four hundred fifty-six million, eight hundred eighty-two thousand, four hundred ninety-six".
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