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40933787041 = 7441292
BaseRepresentation
bin100110000111110110…
…000000010110100001
310220122202010211111201
4212013312000112201
51132313022141131
630445453041201
72646243310000
oct460766002641
9126582124451
1040933787041
11163a6068074
127b24786201
133b24678884
141da4600c37
1510e8989761
hex987d805a1

40933787041 has 15 divisors (see below), whose sum is σ = 47764811571. Its totient is φ = 35077605696.

The previous prime is 40933787023. The next prime is 40933787051. The reversal of 40933787041 is 14078733904.

The square root of 40933787041 is 202321.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22643929441 + 18289857600 = 150479^2 + 135240^2 .

It is not a de Polignac number, because 40933787041 - 27 = 40933786913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40933786982 and 40933787000.

It is not an unprimeable number, because it can be changed into a prime (40933787051) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9911665 + ... + 9915793.

Almost surely, 240933787041 is an apocalyptic number.

40933787041 is the 202321-st square number.

40933787041 is the 101161-st centered octagonal number.

It is an amenable number.

40933787041 is a deficient number, since it is larger than the sum of its proper divisors (6831024530).

40933787041 is an frugal number, since it uses more digits than its factorization.

40933787041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 40933787041 in words is "forty billion, nine hundred thirty-three million, seven hundred eighty-seven thousand, forty-one".

Divisors: 1 7 49 343 2401 4129 28903 202321 1416247 9913729 17048641 119340487 835383409 5847683863 40933787041