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31233438240 = 2535672294241
BaseRepresentation
bin11101000101101010…
…000111001000100000
32222121201020001112220
4131011222013020200
51002431230010430
622203132551040
72153664562464
oct350552071040
988551201486
1031233438240
1112278509484
126078022480
132c39a96504
1417241a04a4
15c2c06c110
hex745a87220

31233438240 has 192 divisors, whose sum is σ = 100313458560. Its totient is φ = 8166850560.

The previous prime is 31233438227. The next prime is 31233438323. The reversal of 31233438240 is 4283433213.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7362520 + ... + 7366760.

It is an arithmetic number, because the mean of its divisors is an integer number (522465930).

Almost surely, 231233438240 is an apocalyptic number.

31233438240 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 31233438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50156729280).

31233438240 is an abundant number, since it is smaller than the sum of its proper divisors (69080020320).

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

31233438240 is a wasteful number, since it uses less digits than its factorization.

31233438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 31233438240 in words is "thirty-one billion, two hundred thirty-three million, four hundred thirty-eight thousand, two hundred forty".