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40934894832 = 2434137383401
BaseRepresentation
bin100110000111111010…
…001110110011110000
310220122211020010010000
4212013322032303300
51132313313113312
630445532510000
72646255602466
oct460772166360
9126584203100
1040934894832
11163a67543a7
127b2501b300
133b24975b80
141da480c836
1510e8b07adc
hex987e8ecf0

40934894832 has 400 divisors, whose sum is σ = 131223663648. Its totient is φ = 12242534400.

The previous prime is 40934894827. The next prime is 40934894899. The reversal of 40934894832 is 23849843904.

40934894832 is a `hidden beast` number, since 4 + 0 + 93 + 489 + 48 + 32 = 666.

It is a super-2 number, since 2×409348948322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 102081832 + ... + 102082232.

Almost surely, 240934894832 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 40934894832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65611831824).

40934894832 is an abundant number, since it is smaller than the sum of its proper divisors (90288768816).

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

40934894832 is a wasteful number, since it uses less digits than its factorization.

40934894832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 40934894832 in words is "forty billion, nine hundred thirty-four million, eight hundred ninety-four thousand, eight hundred thirty-two".