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31996045440 = 2733517243149
BaseRepresentation
bin11101110011000111…
…001110100010000000
310001120212012111222000
4131303013032202000
51011011441423230
622410534144000
72211614620212
oct356307164200
9101525174860
1031996045440
1112629a2a567
12624b4b2000
13302ba86488
1417975945b2
15c73ea9b60
hex7731ce880

31996045440 has 768 divisors, whose sum is σ = 124003440000. Its totient is φ = 7790985216.

The previous prime is 31996045427. The next prime is 31996045441. The reversal of 31996045440 is 4454069913.

31996045440 is a `hidden beast` number, since 3 + 19 + 96 + 0 + 4 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (31996045441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214738486 + ... + 214738634.

Almost surely, 231996045440 is an apocalyptic number.

31996045440 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 31996045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62001720000).

31996045440 is an abundant number, since it is smaller than the sum of its proper divisors (92007394560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31996045440 is a wasteful number, since it uses less digits than its factorization.

31996045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 31996045440 in words is "thirty-one billion, nine hundred ninety-six million, forty-five thousand, four hundred forty".