Search a number
-
+
401441971 = 7313749999
BaseRepresentation
bin10111111011011…
…000010010110011
31000222101100212011
4113323120102303
51310232120341
6103500143351
712643125520
oct2773302263
91028340764
10401441971
11196670327
12b2537b57
1365227a38
143b45c147
152539ab81
hex17ed84b3

401441971 has 16 divisors (see below), whose sum is σ = 486400000. Its totient is φ = 323987040.

The previous prime is 401441951. The next prime is 401441987. The reversal of 401441971 is 179144104.

It is a cyclic number.

It is not a de Polignac number, because 401441971 - 213 = 401433779 is a prime.

It is a super-2 number, since 2×4014419712 = 322311312160729682, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401441941) 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 15 ways as a sum of consecutive naturals, for example, 16971 + ... + 33028.

It is an arithmetic number, because the mean of its divisors is an integer number (30400000).

Almost surely, 2401441971 is an apocalyptic number.

401441971 is a deficient number, since it is larger than the sum of its proper divisors (84958029).

401441971 is a wasteful number, since it uses less digits than its factorization.

401441971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50074.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 401441971 is about 20036.0168446725. The cubic root of 401441971 is about 737.6906157102.

The spelling of 401441971 in words is "four hundred one million, four hundred forty-one thousand, nine hundred seventy-one".

Divisors: 1 7 31 37 217 259 1147 8029 49999 349993 1549969 1849963 10849783 12949741 57348853 401441971