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432131222131234 = 26167122557431363
BaseRepresentation
bin110001001000001010110001…
…1111111011101001000100010
32002200001100012212101200002121
41202100111203333131020202
5423120014220331144414
64131022202020534454
7160010310345466033
oct14220254377351042
92080040185350077
10432131222131234
1111576590528997a
1240571b13b5142a
1315717a51368862
14789d396da0a8a
1534e5ad11a6724
hex1890563fdd222

432131222131234 has 32 divisors (see below), whose sum is σ = 668663196048576. Its totient is φ = 209349365037120.

The previous prime is 432131222131201. The next prime is 432131222131249.

432131222131234 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 432131222131234.

It is an unprimeable number.

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, 1001565237 + ... + 1001996599.

It is an arithmetic number, because the mean of its divisors is an integer number (20895724876518).

Almost surely, 2432131222131234 is an apocalyptic number.

432131222131234 is a deficient number, since it is larger than the sum of its proper divisors (236531973917342).

432131222131234 is a wasteful number, since it uses less digits than its factorization.

432131222131234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554050.

The product of its digits is 41472, while the sum is 34.

The spelling of 432131222131234 in words is "four hundred thirty-two trillion, one hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-one thousand, two hundred thirty-four".

Divisors: 1 2 61 67 122 134 4087 8174 122557 245114 431363 862726 7475977 8211319 14951954 16422638 26313143 28901321 52626286 57802642 500890459 1001780918 1762980581 3525961162 52866555191 105733110382 3224859866651 3542059197797 6449719733302 7084118395594 216065611065617 432131222131234