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401444127 = 3372124043
BaseRepresentation
bin10111111011011…
…000110100011111
31000222101110211000
4113323120310133
51310232203002
6103500201343
712643135020
oct2773306437
91028343730
10401444127
11196671a07
12b2539253
1365228a06
143b45cc47
152539b61c
hex17ed8d1f

401444127 has 16 divisors (see below), whose sum is σ = 679694080. Its totient is φ = 229396536.

The previous prime is 401444123. The next prime is 401444143. The reversal of 401444127 is 721444104.

It is not a de Polignac number, because 401444127 - 22 = 401444123 is a prime.

It is a super-2 number, since 2×4014441272 = 322314774205584258, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 401444127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401444123) 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 in 15 ways as a sum of consecutive naturals, for example, 1061833 + ... + 1062210.

It is an arithmetic number, because the mean of its divisors is an integer number (42480880).

Almost surely, 2401444127 is an apocalyptic number.

401444127 is a deficient number, since it is larger than the sum of its proper divisors (278249953).

401444127 is a wasteful number, since it uses less digits than its factorization.

401444127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124059 (or 2124053 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 401444127 is about 20036.0706477093. The cubic root of 401444127 is about 737.6919363312.

The spelling of 401444127 in words is "four hundred one million, four hundred forty-four thousand, one hundred twenty-seven".

Divisors: 1 3 7 9 21 27 63 189 2124043 6372129 14868301 19116387 44604903 57349161 133814709 401444127