| Base | Representation |
|---|---|
| bin | 11001010100001000… |
| … | …01000111100000000 |
| 3 | 1022002011011112201000 |
| 4 | 30222010020330000 |
| 5 | 210313200131034 |
| 6 | 10124330212000 |
| 7 | 660534310260 |
| oct | 145204107400 |
| 9 | 38064145630 |
| 10 | 13590630144 |
| 11 | 5844613643 |
| 12 | 2773584000 |
| 13 | 13878697b0 |
| 14 | 92cd937a0 |
| 15 | 54821d599 |
| hex | 32a108f00 |
13590630144 has 1152 divisors, whose sum is σ = 55382261760. Its totient is φ = 3185049600.
The previous prime is 13590630089. The next prime is 13590630169. The reversal of 13590630144 is 44103609531.
13590630144 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 0 + 630 + 14 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×135906301442 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 13590630099 and 13590630108.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 331478764 + ... + 331478804.
It is an arithmetic number, because the mean of its divisors is an integer number (48074880).
Almost surely, 213590630144 is an apocalyptic number.
13590630144 is a gapful number since it is divisible by the number (14) 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 13590630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27691130880).
13590630144 is an abundant number, since it is smaller than the sum of its proper divisors (41791631616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13590630144 is a wasteful number, since it uses less digits than its factorization.
13590630144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134 (or 114 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The spelling of 13590630144 in words is "thirteen billion, five hundred ninety million, six hundred thirty thousand, one hundred forty-four".
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