Search a number
-
+
232839290965440 = 263517233591727881
BaseRepresentation
bin110100111100010000011111…
…001110100100110111000000
31010112102012220112012020221110
4310330100133032210313000
5221004314331441343230
62143112521003523320
7100021040455014555
oct6474203716446700
91115365815166843
10232839290965440
116820a652707845
1222145993529540
139cbc86010aa23
14416d6a6146a2c
151bdba3e7654b0
hexd3c41f3a4dc0

232839290965440 has 448 divisors, whose sum is σ = 819059195934720. Its totient is φ = 55741574676480.

The previous prime is 232839290965387. The next prime is 232839290965493. The reversal of 232839290965440 is 44569092938232.

It is an interprime number because it is at equal distance from previous prime (232839290965387) and next prime (232839290965493).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133890300 + ... + 135618180.

Almost surely, 2232839290965440 is an apocalyptic number.

232839290965440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232839290965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409529597967360).

232839290965440 is an abundant number, since it is smaller than the sum of its proper divisors (586219904969280).

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

232839290965440 is a wasteful number, since it uses less digits than its factorization.

232839290965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728300 (or 1728290 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 66.

The spelling of 232839290965440 in words is "two hundred thirty-two trillion, eight hundred thirty-nine billion, two hundred ninety million, nine hundred sixty-five thousand, four hundred forty".