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432340034144 = 25155916015413
BaseRepresentation
bin1100100101010010111…
…10010110001001100000
31112022221112001022202012
412102221132112021200
524040413022043034
6530340403212052
743143534440564
oct6225136261140
91468845038665
10432340034144
11157399750747
126b959977028
1331a00754815
1416cd52db6a4
15b3a5ba0cce
hex64a9796260

432340034144 has 48 divisors (see below), whose sum is σ = 852404847840. Its totient is φ = 215856537600.

The previous prime is 432340034117. The next prime is 432340034197. The reversal of 432340034144 is 441430043234.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 432340034144.

It is a congruent number.

It is an unprimeable number.

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, 79867982 + ... + 79873394.

It is an arithmetic number, because the mean of its divisors is an integer number (17758434330).

Almost surely, 2432340034144 is an apocalyptic number.

It is an amenable number.

432340034144 is a deficient number, since it is larger than the sum of its proper divisors (420064813696).

432340034144 is a wasteful number, since it uses less digits than its factorization.

432340034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8583 (or 8575 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 432340034144 its reverse (441430043234), we get a palindrome (873770077378).

The spelling of 432340034144 in words is "four hundred thirty-two billion, three hundred forty million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 1559 1601 3118 3202 5413 6236 6404 10826 12472 12808 21652 24944 25616 43304 49888 51232 86608 173216 2495959 4991918 8438867 8666213 9983836 16877734 17332426 19967672 33755468 34664852 39935344 67510936 69329704 79870688 135021872 138659408 270043744 277318816 13510626067 27021252134 54042504268 108085008536 216170017072 432340034144