Base | Representation |
---|---|
bin | 1010101000110001110001… |
… | …11000011000101000000000 |
3 | 10001211012011010122111220000 |
4 | 11110120320320120220000 |
5 | 11031220434111332130 |
6 | 121425500332520000 |
7 | 4632653236052421 |
oct | 524307070305000 |
9 | 101735133574800 |
10 | 23391346199040 |
11 | 74a923a133396 |
12 | 2759496620000 |
13 | 1008a43626a91 |
14 | 5ac20bc9d648 |
15 | 2a86e13ce260 |
hex | 154638e18a00 |
23391346199040 has 1600 divisors, whose sum is σ = 95911425561600. Its totient is φ = 5410889662464.
The previous prime is 23391346198993. The next prime is 23391346199069. The reversal of 23391346199040 is 4099164319332.
23391346199040 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 13 + 4 + 619 + 9 + 0 + 4 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2478154641 + ... + 2478164079.
It is an arithmetic number, because the mean of its divisors is an integer number (59944640976).
Almost surely, 223391346199040 is an apocalyptic number.
23391346199040 is a gapful number since it is divisible by the number (20) 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 23391346199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47955712780800).
23391346199040 is an abundant number, since it is smaller than the sum of its proper divisors (72520079362560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23391346199040 is a wasteful number, since it uses less digits than its factorization.
23391346199040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9547 (or 9522 counting only the distinct ones).
The product of its (nonzero) digits is 3779136, while the sum is 54.
The spelling of 23391346199040 in words is "twenty-three trillion, three hundred ninety-one billion, three hundred forty-six million, one hundred ninety-nine thousand, forty".
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