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114824334160 = 2451435304177
BaseRepresentation
bin110101011110000010…
…0000100101101010000
3101222101022020112201001
41222330010010231100
53340130012143120
6124425523551344
711203311510424
oct1527404045520
9358338215631
10114824334160
1144773385838
121a30652b554
13aa9bb415c3
1457b3bd8b84
152ec08eee0a
hex1abc104b50

114824334160 has 20 divisors (see below), whose sum is σ = 266966577108. Its totient is φ = 45929733632.

The previous prime is 114824334143. The next prime is 114824334161. The reversal of 114824334160 is 61433428411.

114824334160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34671929616 + 80152404544 = 186204^2 + 283112^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×1148243341603 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114824334161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 717652009 + ... + 717652168.

Almost surely, 2114824334160 is an apocalyptic number.

114824334160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114824334160 is an abundant number, since it is smaller than the sum of its proper divisors (152142242948).

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

114824334160 is a wasteful number, since it uses less digits than its factorization.

114824334160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435304190 (or 1435304184 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 114824334160 in words is "one hundred fourteen billion, eight hundred twenty-four million, three hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1435304177 2870608354 5741216708 7176520885 11482433416 14353041770 22964866832 28706083540 57412167080 114824334160