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114071144 = 23114492887
BaseRepresentation
bin1101100110010…
…01011001101000
321221122102012012
412303021121220
5213200234034
615152535052
72553405635
oct663113150
9257572165
10114071144
1159432380
1232251488
131a82c425
141121518c
15a033cce
hex6cc9668

114071144 has 32 divisors (see below), whose sum is σ = 233928000. Its totient is φ = 51717120.

The previous prime is 114071141. The next prime is 114071147. The reversal of 114071144 is 441170411.

It is an interprime number because it is at equal distance from previous prime (114071141) and next prime (114071147).

It is not an unprimeable number, because it can be changed into a prime (114071141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38069 + ... + 40955.

It is an arithmetic number, because the mean of its divisors is an integer number (7310250).

Almost surely, 2114071144 is an apocalyptic number.

It is an amenable number.

114071144 is an abundant number, since it is smaller than the sum of its proper divisors (119856856).

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

114071144 is a wasteful number, since it uses less digits than its factorization.

114071144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 114071144 is about 10680.4093554508. The cubic root of 114071144 is about 484.9816041487.

The spelling of 114071144 in words is "one hundred fourteen million, seventy-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 449 898 1796 2887 3592 4939 5774 9878 11548 19756 23096 31757 39512 63514 127028 254056 1296263 2592526 5185052 10370104 14258893 28517786 57035572 114071144