| Base | Representation |
|---|---|
| bin | 1100001110010000111000… |
| … | …0010100100100000000000 |
| 3 | 1202120202220010121221110000 |
| 4 | 3003210032002210200000 |
| 5 | 3230141424141132000 |
| 6 | 44325513340240000 |
| 7 | 2554643420042340 |
| oct | 303441602444000 |
| 9 | 52522803557400 |
| 10 | 13439188224000 |
| 11 | 4311589436880 |
| 12 | 1610730b40000 |
| 13 | 766405132086 |
| 14 | 346662a42d20 |
| 15 | 1848b6666000 |
| hex | c390e0a4800 |
13439188224000 has 3840 divisors, whose sum is σ = 65894334105600. Its totient is φ = 2639609856000.
The previous prime is 13439188223999. The next prime is 13439188224083. The reversal of 13439188224000 is 42288193431.
13439188224000 is a `hidden beast` number, since 1 + 3 + 43 + 9 + 188 + 22 + 400 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3840).
It is a super-2 number, since 2×134391882240002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 30336767779 + ... + 30336768221.
It is an arithmetic number, because the mean of its divisors is an integer number (17159982840).
Almost surely, 213439188224000 is an apocalyptic number.
13439188224000 is a gapful number since it is divisible by the number (10) 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 13439188224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32947167052800).
13439188224000 is an abundant number, since it is smaller than the sum of its proper divisors (52455145881600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13439188224000 is a wasteful number, since it uses less digits than its factorization.
13439188224000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 529 (or 490 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 45.
The spelling of 13439188224000 in words is "thirteen trillion, four hundred thirty-nine billion, one hundred eighty-eight million, two hundred twenty-four thousand".
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