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31141488960 = 2633531116269
BaseRepresentation
bin11101000000001011…
…010110100101000000
32222101022012112212000
4131000023112211000
51002234210121320
622150050104000
72151500201001
oct350013264500
988338175760
1031141488960
111223061663a
12605127b000
132c23a1125a
141715ca71a8
15c23e57c90
hex7402d6940

31141488960 has 224 divisors, whose sum is σ = 113405107200. Its totient is φ = 8036444160.

The previous prime is 31141488953. The next prime is 31141488979. The reversal of 31141488960 is 6988414113.

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

It is a congruent number.

It is an unprimeable number.

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, 209706 + ... + 325974.

It is an arithmetic number, because the mean of its divisors is an integer number (506272800).

Almost surely, 231141488960 is an apocalyptic number.

31141488960 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 31141488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56702553600).

31141488960 is an abundant number, since it is smaller than the sum of its proper divisors (82263618240).

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

31141488960 is a wasteful number, since it uses less digits than its factorization.

31141488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116326 (or 116310 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 31141488960 in words is "thirty-one billion, one hundred forty-one million, four hundred eighty-eight thousand, nine hundred sixty".