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232505141335000 = 2354212921841723
BaseRepresentation
bin110100110111011001010010…
…010110111001001111011000
31010111020021102001201020222221
4310313121102112321033120
5220433331012140210000
62142255215401353424
766654641102016352
oct6467312226711730
91114207361636887
10232505141335000
11680a0970983776
12220b1079498874
139c971aa2c5a01
14415b4478160d2
151bd2ed3eec61a
hexd376525b93d8

232505141335000 has 80 divisors (see below), whose sum is σ = 545015446885800. Its totient is φ = 92958368832000.

The previous prime is 232505141334877. The next prime is 232505141335009. The reversal of 232505141335000 is 533141505232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232505141335009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 275862 + ... + 21565861.

Almost surely, 2232505141335000 is an apocalyptic number.

232505141335000 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 232505141335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272507723442900).

232505141335000 is an abundant number, since it is smaller than the sum of its proper divisors (312510305550800).

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

232505141335000 is a wasteful number, since it uses less digits than its factorization.

232505141335000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21843878 (or 21843859 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The spelling of 232505141335000 in words is "two hundred thirty-two trillion, five hundred five billion, one hundred forty-one million, three hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2129 2500 4258 5000 8516 10645 17032 21290 42580 53225 85160 106450 212900 266125 425800 532250 1064500 1330625 2129000 2661250 5322500 10645000 21841723 43683446 87366892 109208615 174733784 218417230 436834460 546043075 873668920 1092086150 2184172300 2730215375 4368344600 5460430750 10920861500 13651076875 21841723000 27302153750 46501028267 54604307500 93002056534 109208615000 186004113068 232505141335 372008226136 465010282670 930020565340 1162525706675 1860041130680 2325051413350 4650102826700 5812628533375 9300205653400 11625257066750 23250514133500 29063142666875 46501028267000 58126285333750 116252570667500 232505141335000