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114144232116 = 223192917263193
BaseRepresentation
bin110101001001110000…
…1101100001010110100
3101220121220111210002110
41222103201230022310
53332231410411431
6124234231011020
711150412651555
oct1522341541264
9356556453073
10114144232116
1144454497032
121a156809a70
13a9c0c7b065
14574b76032c
152e80d5d346
hex1a9386c2b4

114144232116 has 48 divisors (see below), whose sum is σ = 290021659200. Its totient is φ = 34802595072.

The previous prime is 114144232109. The next prime is 114144232127. The reversal of 114144232116 is 611232441411.

It is a super-3 number, since 3×1141442321163 (a number of 34 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 8624985 + ... + 8638208.

It is an arithmetic number, because the mean of its divisors is an integer number (6042117900).

Almost surely, 2114144232116 is an apocalyptic number.

It is an amenable number.

114144232116 is an abundant number, since it is smaller than the sum of its proper divisors (175877427084).

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

114144232116 is a wasteful number, since it uses less digits than its factorization.

114144232116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17263248 (or 17263246 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

Adding to 114144232116 its reverse (611232441411), we get a palindrome (725376673527).

The spelling of 114144232116 in words is "one hundred fourteen billion, one hundred forty-four million, two hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 1102 1653 2204 3306 6612 17263193 34526386 51789579 69052772 103579158 207158316 328000667 500632597 656001334 984002001 1001265194 1312002668 1501897791 1968004002 2002530388 3003795582 3936008004 6007591164 9512019343 19024038686 28536058029 38048077372 57072116058 114144232116