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400014344414449 is a prime number
BaseRepresentation
bin101101011110011111001100…
…0111001110110010011110001
31221110022222221102210212112001
41122330332120321312103301
5404412313334132230244
63534432015233334001
7150154040233302532
oct13274763071662361
91843288842725461
10400014344414449
11106503149084576
1238a45562707301
131422826330865b
1470acb24776689
15313a4575e55d4
hex16bcf98e764f1

400014344414449 has 2 divisors, whose sum is σ = 400014344414450. Its totient is φ = 400014344414448.

The previous prime is 400014344414417. The next prime is 400014344414471. The reversal of 400014344414449 is 944414443410004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 397073572157025 + 2940772257424 = 19926705^2 + 1714868^2 .

It is a cyclic number.

It is not a de Polignac number, because 400014344414449 - 25 = 400014344414417 is a prime.

It is a super-2 number, since 2×4000143444144492 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400014344414399 and 400014344414408.

It is not a weakly prime, because it can be changed into another prime (400014344414849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200007172207224 + 200007172207225.

It is an arithmetic number, because the mean of its divisors is an integer number (200007172207225).

Almost surely, 2400014344414449 is an apocalyptic number.

It is an amenable number.

400014344414449 is a deficient number, since it is larger than the sum of its proper divisors (1).

400014344414449 is an equidigital number, since it uses as much as digits as its factorization.

400014344414449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1769472, while the sum is 46.

The spelling of 400014344414449 in words is "four hundred trillion, fourteen billion, three hundred forty-four million, four hundred fourteen thousand, four hundred forty-nine".