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232540012312000 = 265329067501539
BaseRepresentation
bin110100110111111001110000…
…110101000111010111000000
31010111100121102021121102122121
4310313321300311013113000
5220434413421122441000
62142323223515414024
766660314166311341
oct6467716065072700
91114317367542577
10232540012312000
116810473570a928
12220b798b754314
139c9a576883803
14415cdd4b380c8
151bd3d75593b1a
hexd37e70d475c0

232540012312000 has 56 divisors (see below), whose sum is σ = 575885340510480. Its totient is φ = 93016004921600.

The previous prime is 232540012311949. The next prime is 232540012312001. The reversal of 232540012312000 is 213210045232.

It is a super-3 number, since 3×2325400123120003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232540012312001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14533742770 + ... + 14533758769.

It is an arithmetic number, because the mean of its divisors is an integer number (10283666794830).

Almost surely, 2232540012312000 is an apocalyptic number.

232540012312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232540012312000 is an abundant number, since it is smaller than the sum of its proper divisors (343345328198480).

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

232540012312000 is an equidigital number, since it uses as much as digits as its factorization.

232540012312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29067501566 (or 29067501546 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 232540012312000 its reverse (213210045232), we get a palindrome (232753222357232).

The spelling of 232540012312000 in words is "two hundred thirty-two trillion, five hundred forty billion, twelve million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 29067501539 58135003078 116270006156 145337507695 232540012312 290675015390 465080024624 581350030780 726687538475 930160049248 1162700061560 1453375076950 1860320098496 2325400123120 2906750153900 3633437692375 4650800246240 5813500307800 7266875384750 9301600492480 11627000615600 14533750769500 23254001231200 29067501539000 46508002462400 58135003078000 116270006156000 232540012312000