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232320400020414 = 232291972259178871
BaseRepresentation
bin110100110100101101001110…
…111010101101001110111110
31010110120121120010100002212100
4310310231032322231032332
5220422314134401123124
62142034303550045530
766635411041526556
oct6464551672551676
91113517503302770
10232320400020414
116802a58a25a792
12220812bbaa98a6
139c829482b6694
144152520056166
151bcd2c043a1c9
hexd34b4eead3be

232320400020414 has 48 divisors (see below), whose sum is σ = 523361377487520. Its totient is φ = 74390241831360.

The previous prime is 232320400020413. The next prime is 232320400020439. The reversal of 232320400020414 is 414020004023232.

232320400020414 is a `hidden beast` number, since 2 + 3 + 23 + 20 + 400 + 0 + 204 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232320400020413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1129486602 + ... + 1129692269.

It is an arithmetic number, because the mean of its divisors is an integer number (10903362030990).

Almost surely, 2232320400020414 is an apocalyptic number.

232320400020414 is an abundant number, since it is smaller than the sum of its proper divisors (291040977467106).

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

232320400020414 is a wasteful number, since it uses less digits than its factorization.

232320400020414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259179105 (or 2259179102 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 232320400020414 its reverse (414020004023232), we get a palindrome (646340404043646).

The spelling of 232320400020414 in words is "two hundred thirty-two trillion, three hundred twenty billion, four hundred million, twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 174 197 261 394 522 591 1182 1773 3546 5713 11426 17139 34278 51417 102834 2259178871 4518357742 6777536613 13555073226 20332609839 40665219678 65516187259 131032374518 196548561777 393097123554 445058237587 589645685331 890116475174 1179291370662 1335174712761 2670349425522 4005524138283 8011048276566 12906688890023 25813377780046 38720066670069 77440133340138 116160200010207 232320400020414