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1400013137 is a prime number
BaseRepresentation
bin101001101110010…
…1000000101010001
310121120101000222102
41103130220011101
510331400410022
6350531050145
746456625645
oct12334500521
93546330872
101400013137
116592a8656
12330a40955
13194084753
14d3d16c25
1582d98a92
hex53728151

1400013137 has 2 divisors, whose sum is σ = 1400013138. Its totient is φ = 1400013136.

The previous prime is 1400013127. The next prime is 1400013149. The reversal of 1400013137 is 7313100041.

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., 827655361 + 572357776 = 28769^2 + 23924^2 .

It is a cyclic number.

It is not a de Polignac number, because 1400013137 - 210 = 1400012113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1400013127) 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, 700006568 + 700006569.

It is an arithmetic number, because the mean of its divisors is an integer number (700006569).

Almost surely, 21400013137 is an apocalyptic number.

It is an amenable number.

1400013137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1400013137 is an equidigital number, since it uses as much as digits as its factorization.

1400013137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 1400013137 is about 37416.7494178743. The cubic root of 1400013137 is about 1118.6924411697.

Adding to 1400013137 its reverse (7313100041), we get a palindrome (8713113178).

The spelling of 1400013137 in words is "one billion, four hundred million, thirteen thousand, one hundred thirty-seven".