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432135352432344 = 233111636876334971
BaseRepresentation
bin110001001000001100101101…
…0001011010011011011011000
32002200001201212201021201001210
41202100121122023103123120
5423120101200210313334
64131024123523343120
7160010514610456161
oct14220313213233330
92080051781251053
10432135352432344
11115767634780270
1240572887221aa0
131571825bc7cb02
14789d669752768
1534e5c73ab95e9
hex189065a2d36d8

432135352432344 has 32 divisors (see below), whose sum is σ = 1178550961179840. Its totient is φ = 130950106797600.

The previous prime is 432135352432327. The next prime is 432135352432423. The reversal of 432135352432344 is 443234253531234.

It is a junction number, because it is equal to n+sod(n) for n = 432135352432293 and 432135352432302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 818438167222 + ... + 818438167749.

It is an arithmetic number, because the mean of its divisors is an integer number (36829717536870).

Almost surely, 2432135352432344 is an apocalyptic number.

432135352432344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

432135352432344 is an abundant number, since it is smaller than the sum of its proper divisors (746415608747496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

432135352432344 is a wasteful number, since it uses less digits than its factorization.

432135352432344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636876334991 (or 1636876334987 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 48.

The spelling of 432135352432344 in words is "four hundred thirty-two trillion, one hundred thirty-five billion, three hundred fifty-two million, four hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1636876334971 3273752669942 4910629004913 6547505339884 9821258009826 13095010679768 18005639684681 19642516019652 36011279369362 39285032039304 54016919054043 72022558738724 108033838108086 144045117477448 216067676216172 432135352432344