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400014412332449 is a prime number
BaseRepresentation
bin101101011110011111001110…
…0111100111011110110100001
31221110100000010011121110111112
41122330332130330323312201
5404412314004024114244
63534432030101153105
7150154042016505305
oct13274763474736641
91843300104543445
10400014412332449
11106503183453352
1238a455813bb795
13142282743c8615
1470acb2d7b5d05
15313a45d55e39e
hex16bcf9cf3bda1

400014412332449 has 2 divisors, whose sum is σ = 400014412332450. Its totient is φ = 400014412332448.

The previous prime is 400014412332373. The next prime is 400014412332487. The reversal of 400014412332449 is 944233214410004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 372100434909025 + 27913977423424 = 19289905^2 + 5283368^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400014412332449 is a prime.

It is not a weakly prime, because it can be changed into another prime (400014112332449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200007206166224 + 200007206166225.

It is an arithmetic number, because the mean of its divisors is an integer number (200007206166225).

Almost surely, 2400014412332449 is an apocalyptic number.

It is an amenable number.

400014412332449 is a deficient number, since it is larger than the sum of its proper divisors (1).

400014412332449 is an equidigital number, since it uses as much as digits as its factorization.

400014412332449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 400014412332449 in words is "four hundred trillion, fourteen billion, four hundred twelve million, three hundred thirty-two thousand, four hundred forty-nine".