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40931776032 = 253733140099
BaseRepresentation
bin100110000111101110…
…010101011000100000
310220122121100122220220
4212013232111120200
51132312013313112
630445342003040
72646220233000
oct460756253040
9126577318826
1040931776032
11163a4a14184
127b23b76480
133b24123424
141da423a000
1510e86dd98c
hex987b95620

40931776032 has 192 divisors, whose sum is σ = 129346560000. Its totient is φ = 11317259520.

The previous prime is 40931776007. The next prime is 40931776073. The reversal of 40931776032 is 23067713904.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1000719 + ... + 1040817.

It is an arithmetic number, because the mean of its divisors is an integer number (673680000).

Almost surely, 240931776032 is an apocalyptic number.

40931776032 is a gapful number since it is divisible by the number (42) 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 40931776032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64673280000).

40931776032 is an abundant number, since it is smaller than the sum of its proper divisors (88414783968).

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

40931776032 is a wasteful number, since it uses less digits than its factorization.

40931776032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40164 (or 40142 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 40931776032 in words is "forty billion, nine hundred thirty-one million, seven hundred seventy-six thousand, thirty-two".