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400444043957 is a prime number
BaseRepresentation
bin1011101001111000101…
…00110011001010110101
31102021121122010010210022
411310330110303022311
523030102133401312
6503543401334525
740634243132546
oct5647424631265
91367548103708
10400444043957
11144911250181
1265737a97445
132b9b9631049
141554b1504cd
15a63a8ac172
hex5d3c5332b5

400444043957 has 2 divisors, whose sum is σ = 400444043958. Its totient is φ = 400444043956.

The previous prime is 400444043939. The next prime is 400444044073. The reversal of 400444043957 is 759340444004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 298508156881 + 101935887076 = 546359^2 + 319274^2 .

It is a cyclic number.

It is not a de Polignac number, because 400444043957 - 212 = 400444039861 is a prime.

It is a super-3 number, since 3×4004440439573 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400444043917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200222021978 + 200222021979.

It is an arithmetic number, because the mean of its divisors is an integer number (200222021979).

Almost surely, 2400444043957 is an apocalyptic number.

It is an amenable number.

400444043957 is a deficient number, since it is larger than the sum of its proper divisors (1).

400444043957 is an equidigital number, since it uses as much as digits as its factorization.

400444043957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 400444043957 in words is "four hundred billion, four hundred forty-four million, forty-three thousand, nine hundred fifty-seven".