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114432364341140 = 2255721618217057
BaseRepresentation
bin11010000001001101011100…
…011011010110011110010100
3120000011121221020000201201112
4122001031130123112132110
5104444324440232404030
61043213300310114152
733050315444011466
oct3201153433263624
9500147836021645
10114432364341140
113350954747472a
1210a0191334b958
134bb0c05882331
1420387ad8a8136
15d369ad570a95
hex68135c6d6794

114432364341140 has 12 divisors (see below), whose sum is σ = 240307965116436. Its totient is φ = 45772945736448.

The previous prime is 114432364341131. The next prime is 114432364341157. The reversal of 114432364341140 is 41143463234411.

It can be written as a sum of positive squares in 2 ways, for example, as 83270224063504 + 31162140277636 = 9125252^2 + 5582306^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2860809108509 + ... + 2860809108548.

It is an arithmetic number, because the mean of its divisors is an integer number (20025663759703).

Almost surely, 2114432364341140 is an apocalyptic number.

114432364341140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114432364341140 is an abundant number, since it is smaller than the sum of its proper divisors (125875600775296).

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

114432364341140 is a wasteful number, since it uses less digits than its factorization.

114432364341140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721618217066 (or 5721618217064 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 114432364341140 in words is "one hundred fourteen trillion, four hundred thirty-two billion, three hundred sixty-four million, three hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 5721618217057 11443236434114 22886472868228 28608091085285 57216182170570 114432364341140