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114013402305 = 35115211326277
BaseRepresentation
bin110101000101110111…
…0100111010011000001
3101220021210022221022220
41222023232213103001
53331444412333210
6124213234521253
711144233633545
oct1521356472301
9356253287286
10114013402305
1144397658720
121a11aa36229
13a99cb3197a
145738225a25
152e74618c70
hex1a8bba74c1

114013402305 has 32 divisors (see below), whose sum is σ = 199387329408. Its totient is φ = 55173081600.

The previous prime is 114013402289. The next prime is 114013402333. The reversal of 114013402305 is 503204310411.

It is a happy number.

It is not a de Polignac number, because 114013402305 - 24 = 114013402289 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 577174 + ... + 749103.

It is an arithmetic number, because the mean of its divisors is an integer number (6230854044).

Almost surely, 2114013402305 is an apocalyptic number.

114013402305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114013402305 is a deficient number, since it is larger than the sum of its proper divisors (85373927103).

114013402305 is a wasteful number, since it uses less digits than its factorization.

114013402305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326817.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 114013402305 its reverse (503204310411), we get a palindrome (617217712716).

The spelling of 114013402305 in words is "one hundred fourteen billion, thirteen million, four hundred two thousand, three hundred five".

Divisors: 1 3 5 11 15 33 55 165 521 1563 2605 5731 7815 17193 28655 85965 1326277 3978831 6631385 14589047 19894155 43767141 72945235 218835705 690990317 2072970951 3454951585 7600893487 10364854755 22802680461 38004467435 114013402305