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401090296417 is a prime number
BaseRepresentation
bin1011101011000101101…
…10000011101001100001
31102100021200011011111121
411311202312003221201
523032413103441132
6504131445012241
740656251160526
oct5654266035141
91370250134447
10401090296417
1114511301a218
12658983b4081
132ba904a2355
14155accd714d
15a6774b4497
hex5d62d83a61

401090296417 has 2 divisors, whose sum is σ = 401090296418. Its totient is φ = 401090296416.

The previous prime is 401090296393. The next prime is 401090296487. The reversal of 401090296417 is 714692090104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 400997963536 + 92332881 = 633244^2 + 9609^2 .

It is a cyclic number.

It is not a de Polignac number, because 401090296417 - 27 = 401090296289 is a prime.

It is not a weakly prime, because it can be changed into another prime (401090296487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200545148208 + 200545148209.

It is an arithmetic number, because the mean of its divisors is an integer number (200545148209).

Almost surely, 2401090296417 is an apocalyptic number.

It is an amenable number.

401090296417 is a deficient number, since it is larger than the sum of its proper divisors (1).

401090296417 is an equidigital number, since it uses as much as digits as its factorization.

401090296417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 401090296417 in words is "four hundred one billion, ninety million, two hundred ninety-six thousand, four hundred seventeen".