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40013504001 = 324445944889
BaseRepresentation
bin100101010000111111…
…011001111000000001
310211021121110121111200
4211100333121320001
51123421424112001
630214300131413
72614400113032
oct452077317001
9124247417450
1040013504001
1115a73641879
127908536b69
133a08acccb3
141d182c4a89
151092ca3086
hex950fd9e01

40013504001 has 6 divisors (see below), whose sum is σ = 57797283570. Its totient is φ = 26675669328.

The previous prime is 40013503889. The next prime is 40013504051. The reversal of 40013504001 is 10040531004.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 39962009025 + 51494976 = 199905^2 + 7176^2 .

It is not a de Polignac number, because 40013504001 - 218 = 40013241857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40013504051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2222972436 + ... + 2222972453.

It is an arithmetic number, because the mean of its divisors is an integer number (9632880595).

Almost surely, 240013504001 is an apocalyptic number.

It is an amenable number.

40013504001 is a deficient number, since it is larger than the sum of its proper divisors (17783779569).

40013504001 is a wasteful number, since it uses less digits than its factorization.

40013504001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445944895 (or 4445944892 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 40013504001 in words is "forty billion, thirteen million, five hundred four thousand, one".

Divisors: 1 3 9 4445944889 13337834667 40013504001