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40647236940 = 22355192943353
BaseRepresentation
bin100101110110110000…
…111001110101001100
310212220202221120200000
4211312300321311030
51131221143040230
630401215204300
72636163545652
oct456660716514
9125822846600
1040647236940
111626933a802
127a64816690
133aaa1a99bb
141d7852cdd2
1510cd735b60
hex976c39d4c

40647236940 has 576 divisors, whose sum is σ = 142875532800. Its totient is φ = 9656672256.

The previous prime is 40647236939. The next prime is 40647236957. The reversal of 40647236940 is 4963274604.

It is a happy number.

40647236940 is a `hidden beast` number, since 406 + 4 + 7 + 236 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 115147804 + ... + 115148156.

It is an arithmetic number, because the mean of its divisors is an integer number (248047800).

Almost surely, 240647236940 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 40647236940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71437766400).

40647236940 is an abundant number, since it is smaller than the sum of its proper divisors (102228295860).

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

40647236940 is a wasteful number, since it uses less digits than its factorization.

40647236940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 40647236940 in words is "forty billion, six hundred forty-seven million, two hundred thirty-six thousand, nine hundred forty".