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114040001149 is a prime number
BaseRepresentation
bin110101000110101010…
…0000101001001111101
3101220100122101022002021
41222031110011021331
53332023220014044
6124220025000141
711145006005314
oct1521524051175
9356318338067
10114040001149
1144400675838
121a127923051
13a9a54b5829
14573b98b27b
152e76b1ee84
hex1a8d50527d

114040001149 has 2 divisors, whose sum is σ = 114040001150. Its totient is φ = 114040001148.

The previous prime is 114040001113. The next prime is 114040001161. The reversal of 114040001149 is 941100040411.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106909380900 + 7130620249 = 326970^2 + 84443^2 .

It is a cyclic number.

It is not a de Polignac number, because 114040001149 - 29 = 114040000637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114040001249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57020000574 + 57020000575.

It is an arithmetic number, because the mean of its divisors is an integer number (57020000575).

Almost surely, 2114040001149 is an apocalyptic number.

It is an amenable number.

114040001149 is a deficient number, since it is larger than the sum of its proper divisors (1).

114040001149 is an equidigital number, since it uses as much as digits as its factorization.

114040001149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 114040001149 in words is "one hundred fourteen billion, forty million, one thousand, one hundred forty-nine".