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31394119680 = 214325721179
BaseRepresentation
bin11101001111001111…
…000100000000000000
310000000220120112001100
4131033033010000000
51003243343312210
622231112534400
72160655420500
oct351717040000
9100026515040
1031394119680
1112350186860
1261019b1400
132c641651a1
14173b669a00
15c3b20b5c0
hex74f3c4000

31394119680 has 1080 divisors, whose sum is σ = 139854798720. Its totient is φ = 6440878080.

The previous prime is 31394119661. The next prime is 31394119703. The reversal of 31394119680 is 8691149313.

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

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 71 ways as a sum of consecutive naturals, for example, 397393881 + ... + 397393959.

It is an arithmetic number, because the mean of its divisors is an integer number (129495184).

Almost surely, 231394119680 is an apocalyptic number.

31394119680 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 31394119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69927399360).

31394119680 is an abundant number, since it is smaller than the sum of its proper divisors (108460679040).

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

31394119680 is a wasteful number, since it uses less digits than its factorization.

31394119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 31394119680 in words is "thirty-one billion, three hundred ninety-four million, one hundred nineteen thousand, six hundred eighty".