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31143234096 = 2432131929109277
BaseRepresentation
bin11101000000010010…
…000000101000110000
32222101102111012201200
4131000102000220300
51002240131442341
622150151331200
72151521056602
oct350022005060
988342435650
1031143234096
11122315a87a7
126051980b00
132c241a2690
1417161dd172
15c2419edb6
hex740480a30

31143234096 has 480 divisors, whose sum is σ = 103519416000. Its totient is φ = 8653381632.

The previous prime is 31143234079. The next prime is 31143234097. The reversal of 31143234096 is 69043234113.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31143234096.

It is not an unprimeable number, because it can be changed into a prime (31143234097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112430310 + ... + 112430586.

It is an arithmetic number, because the mean of its divisors is an integer number (215665450).

Almost surely, 231143234096 is an apocalyptic number.

31143234096 is a gapful number since it is divisible by the number (36) 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 31143234096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51759708000).

31143234096 is an abundant number, since it is smaller than the sum of its proper divisors (72376181904).

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

31143234096 is a wasteful number, since it uses less digits than its factorization.

31143234096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 31143234096 in words is "thirty-one billion, one hundred forty-three million, two hundred thirty-four thousand, ninety-six".