| Base | Representation |
|---|---|
| bin | 11101111100111101… |
| … | …011011100010100000 |
| 3 | 10002000101001202020200 |
| 4 | 131330331123202200 |
| 5 | 1011331234440230 |
| 6 | 22435155105200 |
| 7 | 2215662052425 |
| oct | 357475334240 |
| 9 | 102011052220 |
| 10 | 32161249440 |
| 11 | 127042067a1 |
| 12 | 62968a2200 |
| 13 | 3057079818 |
| 14 | 17b14b9d4c |
| 15 | c8373e160 |
| hex | 77cf5b8a0 |
32161249440 has 144 divisors (see below), whose sum is σ = 109820057256. Its totient is φ = 8570880000.
The previous prime is 32161249433. The next prime is 32161249447. The reversal of 32161249440 is 4494216123.
32161249440 is a `hidden beast` number, since 3 + 2 + 161 + 2 + 494 + 4 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (32161249433) and next prime (32161249447).
It can be written as a sum of positive squares in 4 ways, for example, as 17700705936 + 14460543504 = 133044^2 + 120252^2 .
It is a tau number, because it is divible by the number of its divisors (144).
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 = 32161249395 and 32161249404.
It is not an unprimeable number, because it can be changed into a prime (32161249447) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2587240 + ... + 2599640.
Almost surely, 232161249440 is an apocalyptic number.
32161249440 is a gapful number since it is divisible by the number (30) 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 32161249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54910028628).
32161249440 is an abundant number, since it is smaller than the sum of its proper divisors (77658807816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32161249440 is a wasteful number, since it uses less digits than its factorization.
32161249440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14223 (or 14212 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The spelling of 32161249440 in words is "thirty-two billion, one hundred sixty-one million, two hundred forty-nine thousand, four hundred forty".
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