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31244576440 = 23571124183271
BaseRepresentation
bin11101000110010100…
…100110011010111000
32222122111011221021211
4131012110212122320
51002442102421230
622204211412504
72154161342410
oct350624463270
988574157254
1031244576440
1112283826800
12607b8b4134
132c3c19616c
14172585d640
15c2d01c42a
hex7465266b8

31244576440 has 384 divisors, whose sum is σ = 91892828160. Its totient is φ = 9351936000.

The previous prime is 31244576417. The next prime is 31244576459. The reversal of 31244576440 is 4467544213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 31244576393 and 31244576402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115293505 + ... + 115293775.

It is an arithmetic number, because the mean of its divisors is an integer number (239304240).

Almost surely, 231244576440 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 31244576440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45946414080).

31244576440 is an abundant number, since it is smaller than the sum of its proper divisors (60648251720).

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

31244576440 is a wasteful number, since it uses less digits than its factorization.

31244576440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 31244576440 in words is "thirty-one billion, two hundred forty-four million, five hundred seventy-six thousand, four hundred forty".