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40130444401 is a prime number
BaseRepresentation
bin100101010111111101…
…011111110001110001
310211120202111210120121
4211113331133301301
51124141343210101
630234034410241
72620320102115
oct452775376161
9124522453517
1040130444401
1116023653933
12793b730981
133a270c53b8
141d29a45745
15109d1a20a1
hex957f5fc71

40130444401 has 2 divisors, whose sum is σ = 40130444402. Its totient is φ = 40130444400.

The previous prime is 40130444381. The next prime is 40130444437. The reversal of 40130444401 is 10444403104.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38573352801 + 1557091600 = 196401^2 + 39460^2 .

It is a cyclic number.

It is not a de Polignac number, because 40130444401 - 213 = 40130436209 is a prime.

It is a super-2 number, since 2×401304444012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40130444461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20065222200 + 20065222201.

It is an arithmetic number, because the mean of its divisors is an integer number (20065222201).

Almost surely, 240130444401 is an apocalyptic number.

It is an amenable number.

40130444401 is a deficient number, since it is larger than the sum of its proper divisors (1).

40130444401 is an equidigital number, since it uses as much as digits as its factorization.

40130444401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 40130444401 its reverse (10444403104), we get a palindrome (50574847505).

The spelling of 40130444401 in words is "forty billion, one hundred thirty million, four hundred forty-four thousand, four hundred one".