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31713900240 = 24351131479809
BaseRepresentation
bin11101100010010010…
…111011011011010000
310000212012022001111210
4131202102323123100
51004422224301430
622322534540120
72201620463361
oct354222733320
9100765261453
1031713900240
11124a4740710
126190b07640
132cb549a559
14176bd0bb68
15c593262b0
hex7624bb6d0

31713900240 has 320 divisors, whose sum is σ = 111078604800. Its totient is φ = 7415500800.

The previous prime is 31713900203. The next prime is 31713900241. The reversal of 31713900240 is 4200931713.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31713900198 and 31713900207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31713900241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39200956 + ... + 39201764.

It is an arithmetic number, because the mean of its divisors is an integer number (347120640).

Almost surely, 231713900240 is an apocalyptic number.

31713900240 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 31713900240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55539302400).

31713900240 is an abundant number, since it is smaller than the sum of its proper divisors (79364704560).

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

31713900240 is a wasteful number, since it uses less digits than its factorization.

31713900240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 31713900240 in words is "thirty-one billion, seven hundred thirteen million, nine hundred thousand, two hundred forty".