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234642246432 = 25311376005381
BaseRepresentation
bin1101101010000111000…
…1001000101100100000
3211102122121210010210120
43122201301020230200
512321021403341212
6255443153400240
722644440121006
oct3324161105440
9742577703716
10234642246432
1190569481730
1239585269080
13191853a3749
14b4dcca2a76
1561848d888c
hex36a1c48b20

234642246432 has 96 divisors (see below), whose sum is σ = 690090456384. Its totient is φ = 69181977600.

The previous prime is 234642246389. The next prime is 234642246473.

234642246432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2963619 + ... + 3041762.

It is an arithmetic number, because the mean of its divisors is an integer number (7188442254).

Almost surely, 2234642246432 is an apocalyptic number.

234642246432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234642246432 is an abundant number, since it is smaller than the sum of its proper divisors (455448209952).

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

234642246432 is a wasteful number, since it uses less digits than its factorization.

234642246432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005442 (or 6005434 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The spelling of 234642246432 in words is "two hundred thirty-four billion, six hundred forty-two million, two hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 6512 9768 13024 19536 39072 6005381 12010762 18016143 24021524 36032286 48043048 66059191 72064572 96086096 132118382 144129144 192172192 198177573 222199097 264236764 288258288 396355146 444398194 528473528 576516576 666597291 792710292 888796388 1056947056 1333194582 1585420584 1777592776 2113894112 2444190067 2666389164 3170841168 3555185552 4888380134 5332778328 6341682336 7110371104 7332570201 9776760268 10665556656 14665140402 19553520536 21331113312 29330280804 39107041072 58660561608 78214082144 117321123216 234642246432