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401430441 = 32916972719
BaseRepresentation
bin10111111011010…
…101011110101001
31000222100210001010
4113323111132221
51310231233231
6103500014133
712643050066
oct2773253651
91028323033
10401430441
111966626a5
12b2531349
1365222709
143b457c6d
1525397546
hex17ed57a9

401430441 has 16 divisors (see below), whose sum is σ = 554227200. Its totient is φ = 258144768.

The previous prime is 401430397. The next prime is 401430451. The reversal of 401430441 is 144034104.

It is not a de Polignac number, because 401430441 - 217 = 401299369 is a prime.

It is a super-2 number, since 2×4014304412 = 322292797922908962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401430451) 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, 146280 + ... + 148998.

It is an arithmetic number, because the mean of its divisors is an integer number (34639200).

Almost surely, 2401430441 is an apocalyptic number.

It is an amenable number.

401430441 is a deficient number, since it is larger than the sum of its proper divisors (152796759).

401430441 is a wasteful number, since it uses less digits than its factorization.

401430441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 401430441 is about 20035.7291107661. The cubic root of 401430441 is about 737.6835531251.

Adding to 401430441 its reverse (144034104), we get a palindrome (545464545).

The spelling of 401430441 in words is "four hundred one million, four hundred thirty thousand, four hundred forty-one".

Divisors: 1 3 29 87 1697 2719 5091 8157 49213 78851 147639 236553 4614143 13842429 133810147 401430441