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31143324992 = 26131947167251
BaseRepresentation
bin11101000000010010…
…010110110101000000
32222101102122211102012
4131000102112311000
51002240142344432
622150153312052
72151521615603
oct350022266500
988342584365
1031143324992
111223166001a
126051a05628
132c24204b70
14171622433a
15c241bbcb2
hex740496d40

31143324992 has 224 divisors, whose sum is σ = 72262471680. Its totient is φ = 13195008000.

The previous prime is 31143324991. The next prime is 31143325001. The reversal of 31143324992 is 29942334113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31143324991) 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, 124076867 + ... + 124077117.

It is an arithmetic number, because the mean of its divisors is an integer number (322600320).

Almost surely, 231143324992 is an apocalyptic number.

31143324992 is a gapful number since it is divisible by the number (32) 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 31143324992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36131235840).

31143324992 is an abundant number, since it is smaller than the sum of its proper divisors (41119146688).

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

31143324992 is a wasteful number, since it uses less digits than its factorization.

31143324992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 499 counting only the distinct ones).

The product of its digits is 139968, while the sum is 41.

The spelling of 31143324992 in words is "thirty-one billion, one hundred forty-three million, three hundred twenty-four thousand, nine hundred ninety-two".