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641641431 = 341151179193
BaseRepresentation
bin100110001111101…
…010101111010111
31122201100202120110
4212033222233113
52303230011211
6143400334103
721620601504
oct4617525727
91581322513
10641641431
112aa20a782
1215aa74333
13a2c185b2
14613064ab
153b4e5ea6
hex263eabd7

641641431 has 32 divisors (see below), whose sum is σ = 891717120. Its totient is φ = 410112000.

The previous prime is 641641417. The next prime is 641641439. The reversal of 641641431 is 134146146.

It is not a de Polignac number, because 641641431 - 222 = 637447127 is a prime.

It is a super-2 number, since 2×6416414312 = 823407451951455522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641641439) 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 31 ways as a sum of consecutive naturals, for example, 3324471 + ... + 3324663.

It is an arithmetic number, because the mean of its divisors is an integer number (27866160).

Almost surely, 2641641431 is an apocalyptic number.

641641431 is a deficient number, since it is larger than the sum of its proper divisors (250075689).

641641431 is a wasteful number, since it uses less digits than its factorization.

641641431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567.

The product of its digits is 6912, while the sum is 30.

The square root of 641641431 is about 25330.6421355638. The cubic root of 641641431 is about 862.5099878701.

Adding to 641641431 its reverse (134146146), we get a palindrome (775787577).

The spelling of 641641431 in words is "six hundred forty-one million, six hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 41 123 151 179 193 453 537 579 6191 7339 7913 18573 22017 23739 27029 29143 34547 81087 87429 103641 1108189 1194863 1416427 3324567 3584589 4249281 5216597 15649791 213880477 641641431