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114424000234 = 241732401653
BaseRepresentation
bin110101010010000110…
…0111010111011101010
3101221100101221110210121
41222210030322323222
53333320021001414
6124322103233454
711160350645215
oct1524414727352
9357311843717
10114424000234
1144588401a55
121a21444888a
13aa36c1401b
14577698877c
152e9a6c2724
hex1aa433aeea

114424000234 has 48 divisors (see below), whose sum is σ = 178981982424. Its totient is φ = 54830592000.

The previous prime is 114424000183. The next prime is 114424000237. The reversal of 114424000234 is 432000424411.

It can be written as a sum of positive squares in 12 ways, for example, as 15762049209 + 98661951025 = 125547^2 + 314105^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114424000199 and 114424000208.

It is not an unprimeable number, because it can be changed into a prime (114424000237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175227852 + ... + 175228504.

Almost surely, 2114424000234 is an apocalyptic number.

114424000234 is a deficient number, since it is larger than the sum of its proper divisors (64557982190).

114424000234 is an equidigital number, since it uses as much as digits as its factorization.

114424000234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 114424000234 its reverse (432000424411), we get a palindrome (546424424645).

The spelling of 114424000234 in words is "one hundred fourteen billion, four hundred twenty-four million, two hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 41 73 82 146 401 653 802 1306 2993 5329 5986 10658 16441 26773 29273 32882 47669 53546 58546 95338 218489 261853 436978 523706 1200193 1954429 2136929 2400386 3479837 3908858 4273858 6959674 10735973 19115269 21471946 38230538 87614089 142673317 175228178 285346634 783726029 1395414637 1567452058 2790829274 57212000117 114424000234