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4042641431 = 43179659797
BaseRepresentation
bin1111000011110101…
…1101000000010111
3101102201221110111102
43300331131000113
531234404011211
61505051500315
7202115612423
oct36075350027
911381843442
104042641431
111794a69384
12949a5769b
134c570162a
142a4c93b83
15189d99a3b
hexf0f5d017

4042641431 has 16 divisors (see below), whose sum is σ = 4171305600. Its totient is φ = 3915689568.

The previous prime is 4042641413. The next prime is 4042641461. The reversal of 4042641431 is 1341462404.

It is a cyclic number.

It is not a de Polignac number, because 4042641431 - 26 = 4042641367 is a prime.

It is a super-2 number, since 2×40426414312 = 32685899479275455522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4042641394 and 4042641403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042641401) 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, 5071925 + ... + 5072721.

It is an arithmetic number, because the mean of its divisors is an integer number (260706600).

Almost surely, 24042641431 is an apocalyptic number.

4042641431 is a deficient number, since it is larger than the sum of its proper divisors (128664169).

4042641431 is a wasteful number, since it uses less digits than its factorization.

4042641431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678.

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 4042641431 is about 63581.7696435071. The cubic root of 4042641431 is about 1593.0218800567.

The spelling of 4042641431 in words is "four billion, forty-two million, six hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 43 179 659 797 7697 28337 34271 117961 142663 525223 5072323 6134509 22584589 94014917 4042641431