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4032322131431 = 112925749184857
BaseRepresentation
bin111010101011011001001…
…000001101010111100111
3112021111010110111002210002
4322223121020031113213
51012031143431201211
612324231225251515
7564216462410336
oct72533110152747
915244113432702
104032322131431
1113151097a2390
125515a8633b9b
132333282b42a9
14dd245d37d1d
156ed538c803b
hex3aad920d5e7

4032322131431 has 16 divisors (see below), whose sum is σ = 4568289611040. Its totient is φ = 3525570478080.

The previous prime is 4032322131421. The next prime is 4032322131469. The reversal of 4032322131431 is 1341312232304.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4032322131431 is a prime.

It is a super-2 number, since 2×40323221314312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4032322131394 and 4032322131403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032322131421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24510446 + ... + 24674411.

It is an arithmetic number, because the mean of its divisors is an integer number (285518100690).

Almost surely, 24032322131431 is an apocalyptic number.

4032322131431 is a deficient number, since it is larger than the sum of its proper divisors (535967479609).

4032322131431 is a wasteful number, since it uses less digits than its factorization.

4032322131431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49185154.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 4032322131431 its reverse (1341312232304), we get a palindrome (5373634363735).

The spelling of 4032322131431 in words is "four trillion, thirty-two billion, three hundred twenty-two million, one hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 11 29 257 319 2827 7453 81983 49184857 541033427 1426360853 12640508249 15689969383 139045590739 366574739221 4032322131431