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31402094724 = 2232721121311317
BaseRepresentation
bin11101001111101101…
…011111000010000100
310000001110120200202100
4131033231133002010
51003302414012344
622231555512100
72161113254400
oct351755370204
9100043520670
1031402094724
1112354733600
1261045b8630
132c659c8150
14173c744100
15c3bc84569
hex74fb5f084

31402094724 has 324 divisors, whose sum is σ = 109311439692. Its totient is φ = 7528308480.

The previous prime is 31402094699. The next prime is 31402094749. The reversal of 31402094724 is 42749020413.

It is an interprime number because it is at equal distance from previous prime (31402094699) and next prime (31402094749).

It can be written as a sum of positive squares in 2 ways, for example, as 19209960000 + 12192134724 = 138600^2 + 110418^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2769114 + ... + 2780430.

Almost surely, 231402094724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31402094724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54655719846).

31402094724 is an abundant number, since it is smaller than the sum of its proper divisors (77909344968).

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

31402094724 is a wasteful number, since it uses less digits than its factorization.

31402094724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11376 (or 11353 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 31402094724 in words is "thirty-one billion, four hundred two million, ninety-four thousand, seven hundred twenty-four".