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114723427896 = 23357116591163
BaseRepresentation
bin110101011011000001…
…1001001011000111000
3101222010021100222100000
41222312003021120320
53334423144143041
6124411521113000
711200645022160
oct1526603113070
9358107328300
10114723427896
1144721425430
121a298788760
13aa83c7145c
1457a464d5a0
152eb6b1bbb6
hex1ab60c9638

114723427896 has 384 divisors, whose sum is σ = 402680678400. Its totient is φ = 29727492480.

The previous prime is 114723427843. The next prime is 114723427901. The reversal of 114723427896 is 698724327411.

114723427896 is a `hidden beast` number, since 1 + 147 + 2 + 342 + 78 + 96 = 666.

It is a super-2 number, since 2×1147234278962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98643811 + ... + 98644973.

It is an arithmetic number, because the mean of its divisors is an integer number (1048647600).

Almost surely, 2114723427896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114723427896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201340339200).

114723427896 is an abundant number, since it is smaller than the sum of its proper divisors (287957250504).

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

114723427896 is a wasteful number, since it uses less digits than its factorization.

114723427896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1845 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 114723427896 in words is "one hundred fourteen billion, seven hundred twenty-three million, four hundred twenty-seven thousand, eight hundred ninety-six".