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113414300240 = 2451432198993
BaseRepresentation
bin110100110100000000…
…1001110001001010000
3101211202001000101210112
41221220001032021100
53324233030101430
6124033554020452
711123340434363
oct1515001161120
9354661011715
10113414300240
114410a46344a
1219b92277728
13a90598b9c7
1456bc8340da
152e3bc27195
hex1a6804e250

113414300240 has 40 divisors (see below), whose sum is σ = 263709324648. Its totient is φ = 45362094080.

The previous prime is 113414300201. The next prime is 113414300257. The reversal of 113414300240 is 42003414311.

It can be written as a sum of positive squares in 4 ways, for example, as 8248998976 + 105165301264 = 90824^2 + 324292^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1096184 + ... + 1195176.

Almost surely, 2113414300240 is an apocalyptic number.

113414300240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113414300240 is an abundant number, since it is smaller than the sum of its proper divisors (150295024408).

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

113414300240 is a wasteful number, since it uses less digits than its factorization.

113414300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113327 (or 113321 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 113414300240 its reverse (42003414311), we get a palindrome (155417714551).

The spelling of 113414300240 in words is "one hundred thirteen billion, four hundred fourteen million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14321 28642 57284 71605 98993 114568 143210 197986 229136 286420 395972 494965 572840 791944 989930 1145680 1583888 1979860 3959720 7919440 1417678753 2835357506 5670715012 7088393765 11341430024 14176787530 22682860048 28353575060 56707150120 113414300240