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114113442144 = 2531391437053
BaseRepresentation
bin110101001000110110…
…0001111000101100000
3101220112202120111012010
41222101230033011200
53332201020122034
6124231211032520
711146560153102
oct1522154170540
9356482514163
10114113442144
1144439077079
121a14843b740
13a9b778a640
145747627572
152e7d2ca3e9
hex1a91b0f160

114113442144 has 48 divisors (see below), whose sum is σ = 322589926512. Its totient is φ = 35111827968.

The previous prime is 114113442143. The next prime is 114113442151. The reversal of 114113442144 is 441244311411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114113442143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45717279 + ... + 45719774.

It is an arithmetic number, because the mean of its divisors is an integer number (6720623469).

Almost surely, 2114113442144 is an apocalyptic number.

It is an amenable number.

114113442144 is an abundant number, since it is smaller than the sum of its proper divisors (208476484368).

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

114113442144 is a wasteful number, since it uses less digits than its factorization.

114113442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91437079 (or 91437071 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

Adding to 114113442144 its reverse (441244311411), we get a palindrome (555357753555).

The spelling of 114113442144 in words is "one hundred fourteen billion, one hundred thirteen million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 91437053 182874106 274311159 365748212 548622318 731496424 1097244636 1188681689 1462992848 2194489272 2377363378 2925985696 3566045067 4388978544 4754726756 7132090134 8777957088 9509453512 14264180268 19018907024 28528360536 38037814048 57056721072 114113442144