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401166141 = 3835033203
BaseRepresentation
bin10111111010010…
…100111100111101
31000221212100111020
4113322110330331
51310144304031
6103450214353
712640566405
oct2772247475
91027770436
10401166141
111964a2072
12b24243b9
136515c31c
143b3c9805
1525344096
hex17e94f3d

401166141 has 16 divisors (see below), whose sum is σ = 542578176. Its totient is φ = 263614256.

The previous prime is 401166137. The next prime is 401166163. The reversal of 401166141 is 141661104.

It is a cyclic number.

It is not a de Polignac number, because 401166141 - 22 = 401166137 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401166131) 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, 123646 + ... + 126848.

It is an arithmetic number, because the mean of its divisors is an integer number (33911136).

Almost surely, 2401166141 is an apocalyptic number.

It is an amenable number.

401166141 is a deficient number, since it is larger than the sum of its proper divisors (141412035).

401166141 is a wasteful number, since it uses less digits than its factorization.

401166141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 401166141 is about 20029.1323077162. The cubic root of 401166141 is about 737.5216217351.

The spelling of 401166141 in words is "four hundred one million, one hundred sixty-six thousand, one hundred forty-one".

Divisors: 1 3 83 249 503 1509 3203 9609 41749 125247 265849 797547 1611109 4833327 133722047 401166141