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114403416516 = 223211712713811
BaseRepresentation
bin110101010001011111…
…0011001100111000100
3101221021222012201020200
41222202332121213010
53333244233312031
6124320050130500
711160010665324
oct1524276314704
9357258181220
10114403416516
1144577823114
121a209580a30
13aa32887ccc
145773d4b284
152e989a88e6
hex1aa2f999c4

114403416516 has 36 divisors (see below), whose sum is σ = 289433477424. Its totient is φ = 38101892400.

The previous prime is 114403416487. The next prime is 114403416541. The reversal of 114403416516 is 615614304411.

114403416516 is a `hidden beast` number, since 11 + 440 + 34 + 165 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1314750 + ... + 1399061.

Almost surely, 2114403416516 is an apocalyptic number.

It is an amenable number.

114403416516 is an abundant number, since it is smaller than the sum of its proper divisors (175030060908).

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

114403416516 is a wasteful number, since it uses less digits than its factorization.

114403416516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714992 (or 2714987 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 114403416516 in words is "one hundred fourteen billion, four hundred three million, four hundred sixteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 1171 2342 3513 4684 7026 10539 14052 21078 42156 2713811 5427622 8141433 10855244 16282866 24424299 32565732 48848598 97697196 3177872681 6355745362 9533618043 12711490724 19067236086 28600854129 38134472172 57201708258 114403416516