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114164224340 = 22536131579909
BaseRepresentation
bin110101001010010110…
…1111101000101010100
3101220200022010111021012
41222110231331011110
53332302020134330
6124240223311352
711151044616125
oct1522455750524
9356608114235
10114164224340
1144464801531
121a16144b558
13a9c515aa8a
14575028604c
152e829abc95
hex1a94b7d154

114164224340 has 24 divisors (see below), whose sum is σ = 239811379080. Its totient is φ = 45653021568.

The previous prime is 114164224331. The next prime is 114164224373. The reversal of 114164224340 is 43422461411.

It can be written as a sum of positive squares in 4 ways, for example, as 631617424 + 113532606916 = 25132^2 + 336946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114164224297 and 114164224306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 717695 + ... + 862214.

It is an arithmetic number, because the mean of its divisors is an integer number (9992140795).

Almost surely, 2114164224340 is an apocalyptic number.

114164224340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114164224340 is an abundant number, since it is smaller than the sum of its proper divisors (125647154740).

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

114164224340 is a wasteful number, since it uses less digits than its factorization.

114164224340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583531 (or 1583529 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 114164224340 its reverse (43422461411), we get a palindrome (157586685751).

The spelling of 114164224340 in words is "one hundred fourteen billion, one hundred sixty-four million, two hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 3613 7226 14452 18065 36130 72260 1579909 3159818 6319636 7899545 15799090 31598180 5708211217 11416422434 22832844868 28541056085 57082112170 114164224340