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40400667361 is a prime number
BaseRepresentation
bin100101101000000100…
…010100001011100001
310212021120222112210101
4211220010110023201
51130220032323421
630320530302401
72630111002135
oct455004241341
9125246875711
1040400667361
111615213a39a
1279b6127a01
133a6b098842
141d538a73c5
1510b6c7d191
hex9681142e1

40400667361 has 2 divisors, whose sum is σ = 40400667362. Its totient is φ = 40400667360.

The previous prime is 40400667317. The next prime is 40400667397. The reversal of 40400667361 is 16376600404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21186549136 + 19214118225 = 145556^2 + 138615^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40400667361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40400667361.

It is not a weakly prime, because it can be changed into another prime (40400667301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20200333680 + 20200333681.

It is an arithmetic number, because the mean of its divisors is an integer number (20200333681).

Almost surely, 240400667361 is an apocalyptic number.

It is an amenable number.

40400667361 is a deficient number, since it is larger than the sum of its proper divisors (1).

40400667361 is an equidigital number, since it uses as much as digits as its factorization.

40400667361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 40400667361 in words is "forty billion, four hundred million, six hundred sixty-seven thousand, three hundred sixty-one".