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114001616124 = 223211287882869
BaseRepresentation
bin110101000101100000…
…1101001110011111100
3101220020222011010201200
41222023001221303330
53331433403203444
6124212134135500
711144031514524
oct1521301516374
9356228133650
10114001616124
1144390a38580
121a116ab1590
13a99a5660b6
145736838684
152e7358b969
hex1a8b069cfc

114001616124 has 36 divisors (see below), whose sum is σ = 314368094040. Its totient is φ = 34545944160.

The previous prime is 114001616111. The next prime is 114001616129. The reversal of 114001616124 is 421616100411.

114001616124 is a `hidden beast` number, since 1 + 1 + 40 + 0 + 1 + 6 + 1 + 612 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114001616129) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 143941039 + ... + 143941830.

Almost surely, 2114001616124 is an apocalyptic number.

It is an amenable number.

114001616124 is an abundant number, since it is smaller than the sum of its proper divisors (200366477916).

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

114001616124 is a wasteful number, since it uses less digits than its factorization.

114001616124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287882890 (or 287882885 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 114001616124 its reverse (421616100411), we get a palindrome (535617716535).

The spelling of 114001616124 in words is "one hundred fourteen billion, one million, six hundred sixteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 287882869 575765738 863648607 1151531476 1727297214 2590945821 3166711559 3454594428 5181891642 6333423118 9500134677 10363783284 12666846236 19000269354 28500404031 38000538708 57000808062 114001616124