Search a number
-
+
232113030339840 = 28351337349397907
BaseRepresentation
bin110100110001101100000110…
…101110001001110100000000
31010102211210022011200212011120
4310301230012232021310000
5220410414441231333330
62141355130514112240
766614420162400426
oct6461540656116400
91112753264625146
10232113030339840
1167a5a6464a8491
122204908827b680
139c6921b207490
14414648b2a7116
151bc7bd4ec6c10
hexd31b06b89d00

232113030339840 has 1152 divisors, whose sum is σ = 825240890611200. Its totient is φ = 55231435505664.

The previous prime is 232113030339823. The next prime is 232113030339857. The reversal of 232113030339840 is 48933030311232.

It is an interprime number because it is at equal distance from previous prime (232113030339823) and next prime (232113030339857).

It is a junction number, because it is equal to n+sod(n) for n = 232113030339792 and 232113030339801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 255912932667 + ... + 255912933573.

Almost surely, 2232113030339840 is an apocalyptic number.

232113030339840 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 232113030339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412620445305600).

232113030339840 is an abundant number, since it is smaller than the sum of its proper divisors (593127860271360).

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

232113030339840 is a wasteful number, since it uses less digits than its factorization.

232113030339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 232113030339840 in words is "two hundred thirty-two trillion, one hundred thirteen billion, thirty million, three hundred thirty-nine thousand, eight hundred forty".