| Base | Representation |
|---|---|
| bin | 1011010100010110101101… |
| … | …1001000100111001000000 |
| 3 | 1122001122222012021222002000 |
| 4 | 2311011223121010321000 |
| 5 | 3112341432412223011 |
| 6 | 42244502000224000 |
| 7 | 2423033620434600 |
| oct | 265055331047100 |
| 9 | 48048865258060 |
| 10 | 12444321992256 |
| 11 | 3a68675383a70 |
| 12 | 148b96230b000 |
| 13 | 6c365762cb3b |
| 14 | 31044635cc00 |
| 15 | 168a8a97b356 |
| hex | b516b644e40 |
12444321992256 has 1344 divisors, whose sum is σ = 47344032921600. Its totient is φ = 3168900403200.
The previous prime is 12444321992251. The next prime is 12444321992261. The reversal of 12444321992256 is 65229912344421.
12444321992256 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 4 + 321 + 99 + 225 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (12444321992251) and next prime (12444321992261).
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-2 number, since 2×124443219922562 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (12444321992251) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15011244450 + ... + 15011245278.
Almost surely, 212444321992256 is an apocalyptic number.
12444321992256 is a gapful number since it is divisible by the number (16) 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 12444321992256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23672016460800).
12444321992256 is an abundant number, since it is smaller than the sum of its proper divisors (34899710929344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12444321992256 is a wasteful number, since it uses less digits than its factorization.
12444321992256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1173 (or 1150 counting only the distinct ones).
The product of its digits is 7464960, while the sum is 54.
The spelling of 12444321992256 in words is "twelve trillion, four hundred forty-four billion, three hundred twenty-one million, nine hundred ninety-two thousand, two hundred fifty-six".
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