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114830481024 = 2732773972011
BaseRepresentation
bin110101011110001101…
…1100001011010000000
3101222101201210211121200
41222330123201122000
53340133100343044
6124430303421200
711203414661340
oct1527433413200
9358351724550
10114830481024
11447768a3a96
121a3085b4800
13aaa01b43bc
1457b4958d20
152ec1216369
hex1abc6e1680

114830481024 has 384 divisors, whose sum is σ = 386953956480. Its totient is φ = 32009748480.

The previous prime is 114830480987. The next prime is 114830481061. The reversal of 114830481024 is 420184038411.

It is a happy number.

114830481024 is a `hidden beast` number, since 1 + 148 + 30 + 481 + 0 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (114830480987) and next prime (114830481061).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114830481024.

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 47 ways as a sum of consecutive naturals, for example, 57100179 + ... + 57102189.

It is an arithmetic number, because the mean of its divisors is an integer number (1007692595).

Almost surely, 2114830481024 is an apocalyptic number.

114830481024 is a gapful number since it is divisible by the number (14) 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 114830481024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193476978240).

114830481024 is an abundant number, since it is smaller than the sum of its proper divisors (272123475456).

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

114830481024 is a wasteful number, since it uses less digits than its factorization.

114830481024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 114830481024 in words is "one hundred fourteen billion, eight hundred thirty million, four hundred eighty-one thousand, twenty-four".