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114005760012 = 22332875336713
BaseRepresentation
bin110101000101101000…
…1011101100000001100
3101220021020221200002000
41222023101131200030
53331440433310022
6124212403032300
711144111654034
oct1521321354014
9356236850060
10114005760012
1144393308981
121a11836b690
13a99b3872c1
1457371d68c4
152e73b096ac
hex1a8b45d80c

114005760012 has 48 divisors (see below), whose sum is σ = 295588819680. Its totient is φ = 37999563264.

The previous prime is 114005759999. The next prime is 114005760019. The reversal of 114005760012 is 210067500411.

It is a happy number.

114005760012 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 57 + 600 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114005760019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3086968 + ... + 3123680.

It is an arithmetic number, because the mean of its divisors is an integer number (6158100410).

Almost surely, 2114005760012 is an apocalyptic number.

114005760012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114005760012 is an abundant number, since it is smaller than the sum of its proper divisors (181583059668).

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

114005760012 is a wasteful number, since it uses less digits than its factorization.

114005760012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65479 (or 65471 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 114005760012 in words is "one hundred fourteen billion, five million, seven hundred sixty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 28753 36713 57506 73426 86259 110139 115012 146852 172518 220278 258777 330417 345036 440556 517554 660834 776331 991251 1035108 1321668 1552662 1982502 3105324 3965004 1055608889 2111217778 3166826667 4222435556 6333653334 9500480001 12667306668 19000960002 28501440003 38001920004 57002880006 114005760012