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114135344055 = 3353074675897
BaseRepresentation
bin110101001001011111…
…1110010001110110111
3101220121021210012222000
41222102333302032313
53332222122002210
6124233312310343
711150244263055
oct1522277621667
9356537705860
10114135344055
114444a476327
121a1538423b3
13a9bc188655
14574a4c91d5
152e801a4ac0
hex1a92ff23b7

114135344055 has 64 divisors (see below), whose sum is σ = 204038714880. Its totient is φ = 60533713152.

The previous prime is 114135344053. The next prime is 114135344077. The reversal of 114135344055 is 550443531411.

114135344055 is a `hidden beast` number, since 114 + 1 + 3 + 53 + 440 + 55 = 666.

It is not a de Polignac number, because 114135344055 - 21 = 114135344053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114135344053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19351867 + ... + 19357763.

It is an arithmetic number, because the mean of its divisors is an integer number (3188104920).

Almost surely, 2114135344055 is an apocalyptic number.

114135344055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114135344055 is a deficient number, since it is larger than the sum of its proper divisors (89903370825).

114135344055 is a wasteful number, since it uses less digits than its factorization.

114135344055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685 (or 6679 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 114135344055 its reverse (550443531411), we get a palindrome (664578875466).

The spelling of 114135344055 in words is "one hundred fourteen billion, one hundred thirty-five million, three hundred forty-four thousand, fifty-five".

Divisors: 1 3 5 9 15 27 45 135 307 467 921 1401 1535 2335 2763 4203 4605 5897 7005 8289 12609 13815 17691 21015 29485 41445 53073 63045 88455 143369 159219 265365 430107 716845 796095 1290321 1810379 2150535 2753899 3870963 5431137 6451605 8261697 9051895 13769495 16293411 19354815 24785091 27155685 41308485 48880233 74355273 81467055 123925455 244401165 371776365 845446993 2536340979 4227234965 7609022937 12681704895 22827068811 38045114685 114135344055