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31885267040 = 2551141736053
BaseRepresentation
bin11101101100100000…
…101001000001100000
310001022010202101120022
4131230200221001200
51010300112021130
622351535533012
72206101204134
oct355440510140
9101263671508
1031885267040
1112582447070
12621a38a168
133011b3aa23
1417869993c4
15c693c67e5
hex76c829060

31885267040 has 192 divisors, whose sum is σ = 85348613952. Its totient is φ = 11155046400.

The previous prime is 31885267033. The next prime is 31885267049. The reversal of 31885267040 is 4076258813.

It is a super-2 number, since 2×318852670402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 31885266982 and 31885267000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31885267049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5264654 + ... + 5270706.

It is an arithmetic number, because the mean of its divisors is an integer number (444524031).

Almost surely, 231885267040 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 31885267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42674306976).

31885267040 is an abundant number, since it is smaller than the sum of its proper divisors (53463346912).

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

31885267040 is a wasteful number, since it uses less digits than its factorization.

31885267040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 31885267040 in words is "thirty-one billion, eight hundred eighty-five million, two hundred sixty-seven thousand, forty".