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400013149 is a prime number
BaseRepresentation
bin10111110101111…
…011011101011101
31000212200202212211
4113311323131131
51304400410044
6103405400421
712625025044
oct2765733535
91025622784
10400013149
11195884888
12b1b69111
1364b47593
143b1a955b
15251b7634
hex17d7b75d

400013149 has 2 divisors, whose sum is σ = 400013150. Its totient is φ = 400013148.

The previous prime is 400013147. The next prime is 400013161. The reversal of 400013149 is 941310004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 299913124 + 100100025 = 17318^2 + 10005^2 .

It is a cyclic number.

It is not a de Polignac number, because 400013149 - 21 = 400013147 is a prime.

Together with 400013147, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400013143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200006574 + 200006575.

It is an arithmetic number, because the mean of its divisors is an integer number (200006575).

Almost surely, 2400013149 is an apocalyptic number.

It is an amenable number.

400013149 is a deficient number, since it is larger than the sum of its proper divisors (1).

400013149 is an equidigital number, since it uses as much as digits as its factorization.

400013149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 400013149 is about 20000.3287222985. The cubic root of 400013149 is about 736.8143731946.

The spelling of 400013149 in words is "four hundred million, thirteen thousand, one hundred forty-nine".