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31130147040 = 25351718712039
BaseRepresentation
bin11100111111100000…
…000101100011100000
32222100111212022122220
4130333200011203200
51002223304201130
622145003031040
72151301612116
oct347740054340
988314768586
1031130147040
111222517a253
12604950b480
132c2156c965
141714593ab6
15c22e67410
hex73f8058e0

31130147040 has 192 divisors, whose sum is σ = 103934638080. Its totient is φ = 7805050880.

The previous prime is 31130147017. The next prime is 31130147093. The reversal of 31130147040 is 4074103113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31130147040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15266341 + ... + 15268379.

It is an arithmetic number, because the mean of its divisors is an integer number (541326240).

Almost surely, 231130147040 is an apocalyptic number.

31130147040 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 31130147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51967319040).

31130147040 is an abundant number, since it is smaller than the sum of its proper divisors (72804491040).

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

31130147040 is a wasteful number, since it uses less digits than its factorization.

31130147040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 31130147040 in words is "thirty-one billion, one hundred thirty million, one hundred forty-seven thousand, forty".