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4042400431 = 25144935869
BaseRepresentation
bin1111000011110010…
…0010001010101111
3101102201111012220111
43300330202022233
531234323303211
61505042400451
7202113556666
oct36074421257
911381435814
104042400431
111794914303
12949960127
134c5648a24
142a4c2dddd
15189d4d421
hexf0f222af

4042400431 has 8 divisors (see below), whose sum is σ = 4067658000. Its totient is φ = 4017216000.

The previous prime is 4042400429. The next prime is 4042400441. The reversal of 4042400431 is 1340042404.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4042400431 - 21 = 4042400429 is a prime.

It is a super-2 number, since 2×40424004312 = 32682002489097971522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042400441) 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 7 ways as a sum of consecutive naturals, for example, 94765 + ... + 130633.

It is an arithmetic number, because the mean of its divisors is an integer number (508457250).

Almost surely, 24042400431 is an apocalyptic number.

4042400431 is a deficient number, since it is larger than the sum of its proper divisors (25257569).

4042400431 is a wasteful number, since it uses less digits than its factorization.

4042400431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36569.

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4042400431 is about 63579.8744179320. The cubic root of 4042400431 is about 1592.9902236996.

Adding to 4042400431 its reverse (1340042404), we get a palindrome (5382442835).

The spelling of 4042400431 in words is "four billion, forty-two million, four hundred thousand, four hundred thirty-one".

Divisors: 1 251 449 35869 112699 9003119 16105181 4042400431