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252240357234300 = 22352859978813959
BaseRepresentation
bin111001010110100101001000…
…111001000001011001111100
31020002002221110012011210000020
4321112211020321001121330
5231030201222422444200
62252245342001332140
7104062523124236151
oct7126451071013174
91202087405153006
10252240357234300
117340a597847916
1224359a55337050
13aa99218634886
1446406d999c228
151e2653d19eea0
hexe56948e4167c

252240357234300 has 72 divisors (see below), whose sum is σ = 730665044860800. Its totient is φ = 67185790077120.

The previous prime is 252240357234259. The next prime is 252240357234301. The reversal of 252240357234300 is 3432753042252.

It is a super-3 number, since 3×2522403572343003 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252240357234301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 489149280 + ... + 489664679.

Almost surely, 2252240357234300 is an apocalyptic number.

252240357234300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252240357234300 is an abundant number, since it is smaller than the sum of its proper divisors (478424687626500).

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

252240357234300 is a wasteful number, since it uses less digits than its factorization.

252240357234300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978814835 (or 978814828 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 42.

The spelling of 252240357234300 in words is "two hundred fifty-two trillion, two hundred forty billion, three hundred fifty-seven million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 859 1718 2577 3436 4295 5154 8590 10308 12885 17180 21475 25770 42950 51540 64425 85900 128850 257700 978813959 1957627918 2936441877 3915255836 4894069795 5872883754 9788139590 11745767508 14682209385 19576279180 24470348975 29364418770 48940697950 58728837540 73411046925 97881395900 146822093850 293644187700 840801190781 1681602381562 2522403572343 3363204763124 4204005953905 5044807144686 8408011907810 10089614289372 12612017861715 16816023815620 21020029769525 25224035723430 42040059539050 50448071446860 63060089308575 84080119078100 126120178617150 252240357234300