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114823486008 = 23337112928209
BaseRepresentation
bin110101011110000000…
…0110101101000111000
3101222101020122110021000
41222330000311220320
53340124303023013
6124425453445000
711203301345610
oct1527400655070
9358336573230
10114823486008
1144772956590
121a3061a0760
13aa9b90553a
1457b3a57a40
152ec07d3973
hex1abc035a38

114823486008 has 384 divisors, whose sum is σ = 411892416000. Its totient is φ = 28792350720.

The previous prime is 114823486003. The next prime is 114823486039. The reversal of 114823486008 is 800684328411.

114823486008 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 2 + 34 + 8 + 600 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114823486003) by changing a digit.

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, 13983408 + ... + 13991616.

It is an arithmetic number, because the mean of its divisors is an integer number (1072636500).

Almost surely, 2114823486008 is an apocalyptic number.

114823486008 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 114823486008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205946208000).

114823486008 is an abundant number, since it is smaller than the sum of its proper divisors (297068929992).

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

114823486008 is a wasteful number, since it uses less digits than its factorization.

114823486008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 114823486008 in words is "one hundred fourteen billion, eight hundred twenty-three million, four hundred eighty-six thousand, eight".