| Base | Representation |
|---|---|
| bin | 11101110101101011101100… |
| … | …100111000001001100000100 |
| 3 | 122012122200202121210221100000 |
| 4 | 131311223230213001030010 |
| 5 | 114200102424001212234 |
| 6 | 1143035155451521300 |
| 7 | 36433141135321341 |
| oct | 3565535447011404 |
| 9 | 565580677727300 |
| 10 | 131232400413444 |
| 11 | 388a63918a2510 |
| 12 | 12875875459230 |
| 13 | 582c215636b65 |
| 14 | 245997985b7c8 |
| 15 | 10289c89b6899 |
| hex | 775aec9c1304 |
131232400413444 has 288 divisors, whose sum is σ = 375865368278400. Its totient is φ = 39706092380160.
The previous prime is 131232400413437. The next prime is 131232400413547. The reversal of 131232400413444 is 444314004232131.
131232400413444 is a `hidden beast` number, since 1 + 3 + 1 + 232 + 4 + 0 + 0 + 413 + 4 + 4 + 4 = 666.
It is a super-2 number, since 2×1312324004134442 (a number of 29 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 = 131232400413399 and 131232400413408.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30597433252 + ... + 30597437540.
It is an arithmetic number, because the mean of its divisors is an integer number (1305088084300).
Almost surely, 2131232400413444 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131232400413444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187932684139200).
131232400413444 is an abundant number, since it is smaller than the sum of its proper divisors (244632967864956).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131232400413444 is a wasteful number, since it uses less digits than its factorization.
131232400413444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8065 (or 8051 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 36.
Adding to 131232400413444 its reverse (444314004232131), we get a palindrome (575546404645575).
The spelling of 131232400413444 in words is "one hundred thirty-one trillion, two hundred thirty-two billion, four hundred million, four hundred thirteen thousand, four hundred forty-four".
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