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31941719040 = 21035711113239
BaseRepresentation
bin11101101111110111…
…111111010000000000
310001110001222110011010
4131233313333100000
51010404040002130
622401313520520
72210355063210
oct355767772000
9101401873133
1031941719040
11126012a4310
126235273140
133020744a8a
141790292240
15c6e3280b0
hex76fdff400

31941719040 has 704 divisors, whose sum is σ = 129037639680. Its totient is φ = 6550978560.

The previous prime is 31941718969. The next prime is 31941719053. The reversal of 31941719040 is 4091714913.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 31941719040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133647241 + ... + 133647479.

Almost surely, 231941719040 is an apocalyptic number.

31941719040 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 31941719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64518819840).

31941719040 is an abundant number, since it is smaller than the sum of its proper divisors (97095920640).

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

31941719040 is a wasteful number, since it uses less digits than its factorization.

31941719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 31941719040 in words is "thirty-one billion, nine hundred forty-one million, seven hundred nineteen thousand, forty".