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432040131133 = 13591578774091
BaseRepresentation
bin1100100100101111001…
…10010011101000111101
31112022011121201200011021
412102113212103220331
524034304233144013
6530250531224141
743133233344022
oct6222746235075
91468147650137
10432040131133
11157255433116
126b895448051
133198358bc10
1416ca7551549
15b3896b0a8d
hex6497993a3d

432040131133 has 32 divisors (see below), whose sum is σ = 476833230720. Its totient is φ = 389010435840.

The previous prime is 432040131109. The next prime is 432040131139. The reversal of 432040131133 is 331131040234.

It is a de Polignac number, because none of the positive numbers 2k-432040131133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 432040131098 and 432040131107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432040131139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105605418 + ... + 105609508.

It is an arithmetic number, because the mean of its divisors is an integer number (14901038460).

Almost surely, 2432040131133 is an apocalyptic number.

It is an amenable number.

432040131133 is a deficient number, since it is larger than the sum of its proper divisors (44793099587).

432040131133 is a wasteful number, since it uses less digits than its factorization.

432040131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 432040131133 its reverse (331131040234), we get a palindrome (763171171367).

It can be divided in two parts, 4320401 and 31133, that added together give a palindrome (4351534).

The spelling of 432040131133 in words is "four hundred thirty-two billion, forty million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 13 59 157 767 877 2041 4091 9263 11401 51743 53183 120419 137689 241369 642287 672659 1789957 3137797 3587807 8123651 8349731 37894933 46641491 105607463 211680613 492634129 563285699 2751847969 7322714087 33233856241 432040131133