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234217320235104 = 2533765939560877
BaseRepresentation
bin110101010000010011111000…
…001011000100000001100000
31010201021221211202101022101010
4311100103320023010001200
5221144404032440010404
62150045541305340520
7100222433352363333
oct6520237013040140
91121257752338333
10234217320235104
11686a100a270158
1222328a76797740
13a08c7a1c7033b
1441ba27083061a
151c127e3b29189
hexd504f82c4060

234217320235104 has 48 divisors (see below), whose sum is σ = 631437234967728. Its totient is φ = 75962374129152.

The previous prime is 234217320235091. The next prime is 234217320235127. The reversal of 234217320235104 is 401532023712432.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2342173202351042 (a number of 30 digits) contains 22 as substring.

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, 32969776887 + ... + 32969783990.

It is an arithmetic number, because the mean of its divisors is an integer number (13154942395161).

Almost surely, 2234217320235104 is an apocalyptic number.

234217320235104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234217320235104 is an abundant number, since it is smaller than the sum of its proper divisors (397219914732624).

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

234217320235104 is a wasteful number, since it uses less digits than its factorization.

234217320235104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65939560927 (or 65939560919 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

Adding to 234217320235104 its reverse (401532023712432), we get a palindrome (635749343947536).

The spelling of 234217320235104 in words is "two hundred thirty-four trillion, two hundred seventeen billion, three hundred twenty million, two hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 65939560877 131879121754 197818682631 263758243508 395637365262 527516487016 791274730524 1055032974032 1582549461048 2110065948064 2439763752449 3165098922096 4879527504898 6330197844192 7319291257347 9759055009796 14638582514694 19518110019592 29277165029388 39036220039184 58554330058776 78072440078368 117108660117552 234217320235104