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40985687232 = 263376155547
BaseRepresentation
bin100110001010111011…
…111111010011000000
310220210100210122012000
4212022323333103000
51132414313442412
630454545304000
72650443410340
oct461273772300
9126710718160
1040985687232
1116422396496
127b3a035000
133b3234ab49
141dab470d20
1510ed2dc4dc
hex98aeff4c0

40985687232 has 224 divisors, whose sum is σ = 139963184640. Its totient is φ = 11518018560.

The previous prime is 40985687203. The next prime is 40985687257. The reversal of 40985687232 is 23278658904.

40985687232 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 568 + 72 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

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 31 ways as a sum of consecutive naturals, for example, 710083 + ... + 765629.

Almost surely, 240985687232 is an apocalyptic number.

40985687232 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 40985687232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69981592320).

40985687232 is an abundant number, since it is smaller than the sum of its proper divisors (98977497408).

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

40985687232 is a wasteful number, since it uses less digits than its factorization.

40985687232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55636 (or 55620 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 40985687232 in words is "forty billion, nine hundred eighty-five million, six hundred eighty-seven thousand, two hundred thirty-two".