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401442147 = 321392231439
BaseRepresentation
bin10111111011011…
…000010101100011
31000222101101002200
4113323120111203
51310232122042
6103500144243
712643126161
oct2773302543
91028341080
10401442147
11196670477
12b2538083
1365227b42
143b45c231
152539ac4c
hex17ed8563

401442147 has 24 divisors (see below), whose sum is σ = 587059200. Its totient is φ = 264327408.

The previous prime is 401442137. The next prime is 401442187. The reversal of 401442147 is 741244104.

401442147 is a `hidden beast` number, since 401 + 44 + 214 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2k-401442147 is a prime.

It is a super-2 number, since 2×4014421472 = 322311594775939218, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401442147.

It is not an unprimeable number, because it can be changed into a prime (401442137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278254 + ... + 279692.

It is an arithmetic number, because the mean of its divisors is an integer number (24460800).

Almost surely, 2401442147 is an apocalyptic number.

401442147 is a deficient number, since it is larger than the sum of its proper divisors (185617053).

401442147 is a wasteful number, since it uses less digits than its factorization.

401442147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1804 counting only the distinct ones).

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

The square root of 401442147 is about 20036.0212367626. The cubic root of 401442147 is about 737.6907235161.

The spelling of 401442147 in words is "four hundred one million, four hundred forty-two thousand, one hundred forty-seven".

Divisors: 1 3 9 139 223 417 669 1251 1439 2007 4317 12951 30997 92991 200021 278973 320897 600063 962691 1800189 2888073 44604683 133814049 401442147