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114689490048 = 2732731345439
BaseRepresentation
bin110101011010000000…
…1101011110010000000
3101222000220111202100200
41222310001223302000
53334341002140143
6124404305445200
711200053403050
oct1526401536200
9358026452320
10114689490048
1144704255421
121a289340800
13aa79c1aca3
14579dd37560
152eb3b661d3
hex1ab406bc80

114689490048 has 192 divisors, whose sum is σ = 378391603200. Its totient is φ = 32663015424.

The previous prime is 114689490023. The next prime is 114689490059. The reversal of 114689490048 is 840094986411.

It is a happy number.

114689490048 is a `hidden beast` number, since 1 + 1 + 468 + 94 + 90 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 114689489976 and 114689490003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2501313 + ... + 2546751.

It is an arithmetic number, because the mean of its divisors is an integer number (1970789600).

Almost surely, 2114689490048 is an apocalyptic number.

114689490048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114689490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189195801600).

114689490048 is an abundant number, since it is smaller than the sum of its proper divisors (263702113152).

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

114689490048 is a wasteful number, since it uses less digits than its factorization.

114689490048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45779 (or 45764 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 114689490048 in words is "one hundred fourteen billion, six hundred eighty-nine million, four hundred ninety thousand, forty-eight".