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232341424143232 = 27101131231136949
BaseRepresentation
bin110100110101000000110100…
…000011010111101110000000
31010110122121211022221012111211
4310311000310003113232000
5220423140214040040412
62142052102102015504
766640054040604355
oct6465006403275600
91113577738835454
10232341424143232
11680384988893a8
12220853a8a17594
139c84918bc6341
14415355636862c
151bcdb0104eca7
hexd350340d7b80

232341424143232 has 64 divisors (see below), whose sum is σ = 467457504624000. Its totient is φ = 115018790656000.

The previous prime is 232341424143197. The next prime is 232341424143253.

232341424143232 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

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, 1696485894 + ... + 1696622842.

It is an arithmetic number, because the mean of its divisors is an integer number (7304023509750).

Almost surely, 2232341424143232 is an apocalyptic number.

It is an amenable number.

232341424143232 is an abundant number, since it is smaller than the sum of its proper divisors (235116080480768).

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

232341424143232 is a wasteful number, since it uses less digits than its factorization.

232341424143232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268295 (or 268283 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

The spelling of 232341424143232 in words is "two hundred thirty-two trillion, three hundred forty-one billion, four hundred twenty-four million, one hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 12928 131231 136949 262462 273898 524924 547796 1049848 1095592 2099696 2191184 4199392 4382368 8398784 8764736 13254331 13831849 16797568 17529472 26508662 27663698 53017324 55327396 106034648 110654792 212069296 221309584 424138592 442619168 848277184 885238336 1696554368 1770476672 17971954219 35943908438 71887816876 143775633752 287551267504 575102535008 1150205070016 1815167376119 2300410140032 3630334752238 7260669504476 14521339008952 29042678017904 58085356035808 116170712071616 232341424143232