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234341323143432 = 233291013333636667
BaseRepresentation
bin110101010010000111010111…
…010100100111100100001000
31010201201210220201201201210120
4311102013113110213210020
5221203422012211042212
62150222530114143240
7100234413305614401
oct6522072724474410
91121653821651716
10234341323143432
116873966271557a
1222348b02b81b20
13a09b3a4556acb
1441c22756469a8
151c15b5022b88c
hexd521d7527908

234341323143432 has 64 divisors (see below), whose sum is σ = 612055692244800. Its totient is φ = 74673461318400.

The previous prime is 234341323143419. The next prime is 234341323143469.

234341323143432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2343413231434322 (a number of 30 digits) contains 22 as substring.

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, 1666748038 + ... + 1666888629.

It is an arithmetic number, because the mean of its divisors is an integer number (9563370191325).

Almost surely, 2234341323143432 is an apocalyptic number.

It is an amenable number.

234341323143432 is an abundant number, since it is smaller than the sum of its proper divisors (377714369101368).

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

234341323143432 is a wasteful number, since it uses less digits than its factorization.

234341323143432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333636806 (or 3333636802 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 42.

The spelling of 234341323143432 in words is "two hundred thirty-four trillion, three hundred forty-one billion, three hundred twenty-three million, one hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 101 116 174 202 232 303 348 404 606 696 808 1212 2424 2929 5858 8787 11716 17574 23432 35148 70296 3333636667 6667273334 10000910001 13334546668 20001820002 26669093336 40003640004 80007280008 96675463343 193350926686 290026390029 336697303367 386701853372 580052780058 673394606734 773403706744 1010091910101 1160105560116 1346789213468 2020183820202 2320211120232 2693578426936 4040367640404 8080735280808 9764221797643 19528443595286 29292665392929 39056887190572 58585330785858 78113774381144 117170661571716 234341323143432