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114231086260848 = 24352910916695569
BaseRepresentation
bin11001111110010001111111…
…010100011010001001110000
3112222110101101210210211200000
4121332101333110122021300
5104433030231040321343
61042541011522230000
733026631543400044
oct3176217724321160
9488411353724600
10114231086260848
113344114a217927
121098a8bb7b5300
134b97c3983133b
14202cb57b70024
15d3162ccdaed3
hex67e47f51a270

114231086260848 has 480 divisors, whose sum is σ = 346376710680000. Its totient is φ = 36398380548096.

The previous prime is 114231086260847. The next prime is 114231086260859. The reversal of 114231086260848 is 848062680132411.

114231086260848 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 3 + 1 + 0 + 8 + 626 + 0 + 8 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114231086260794 and 114231086260803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114231086260847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20511953808 + ... + 20511959376.

It is an arithmetic number, because the mean of its divisors is an integer number (721618147250).

Almost surely, 2114231086260848 is an apocalyptic number.

114231086260848 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 114231086260848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173188355340000).

114231086260848 is an abundant number, since it is smaller than the sum of its proper divisors (232145624419152).

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

114231086260848 is a wasteful number, since it uses less digits than its factorization.

114231086260848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 114231086260848 in words is "one hundred fourteen trillion, two hundred thirty-one billion, eighty-six million, two hundred sixty thousand, eight hundred forty-eight".