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401431041 = 32114198899
BaseRepresentation
bin10111111011010…
…101101000000001
31000222100210212100
4113323111220001
51310231243131
6103500021013
712643051614
oct2773255001
91028323770
10401431041
111966630a0
12b2531769
1365222a7b
143b45817b
15253977e6
hex17ed5a01

401431041 has 24 divisors (see below), whose sum is σ = 647992800. Its totient is φ = 237355200.

The previous prime is 401431001. The next prime is 401431061. The reversal of 401431041 is 140134104.

It is not a de Polignac number, because 401431041 - 29 = 401430529 is a prime.

It is a super-2 number, since 2×4014310412 = 322293761356687362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401431001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45391 + ... + 53508.

It is an arithmetic number, because the mean of its divisors is an integer number (26999700).

Almost surely, 2401431041 is an apocalyptic number.

401431041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

401431041 is a deficient number, since it is larger than the sum of its proper divisors (246561759).

401431041 is a wasteful number, since it uses less digits than its factorization.

401431041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98957 (or 98954 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 401431041 is about 20035.7440840115. The cubic root of 401431041 is about 737.6839206524.

Adding to 401431041 its reverse (140134104), we get a palindrome (541565145).

The spelling of 401431041 in words is "four hundred one million, four hundred thirty-one thousand, forty-one".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 98899 296697 890091 1087889 3263667 4054859 9791001 12164577 36493731 44603449 133810347 401431041