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114021034323399 = 337312311957059
BaseRepresentation
bin11001111011001110010111…
…001111110110110111000111
3112221201022012221000211021000
4121323032113033312313013
5104421110034241322044
61042300312352224343
733005514344364000
oct3173162717666707
9487638187024230
10114021034323399
113337005a398305
121095605983b0b3
134b811a2b3b7a8
14202290ca8a1a7
15d2ae37149d69
hex67b3973f6dc7

114021034323399 has 32 divisors (see below), whose sum is σ = 196991312960000. Its totient is φ = 65154876750936.

The previous prime is 114021034323389. The next prime is 114021034323467. The reversal of 114021034323399 is 993323430120411.

114021034323399 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 210 + 3 + 43 + 2 + 3 + 399 = 666.

It is not a de Polignac number, because 114021034323399 - 219 = 114021033799111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114021034323389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6155969269 + ... + 6155987790.

It is an arithmetic number, because the mean of its divisors is an integer number (6155978530000).

Almost surely, 2114021034323399 is an apocalyptic number.

114021034323399 is a deficient number, since it is larger than the sum of its proper divisors (82970278636601).

114021034323399 is an equidigital number, since it uses as much as digits as its factorization.

114021034323399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12311957089 (or 12311957069 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 114021034323399 in words is "one hundred fourteen trillion, twenty-one billion, thirty-four million, three hundred twenty-three thousand, three hundred ninety-nine".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 1029 1323 3087 9261 12311957059 36935871177 86183699413 110807613531 258551098239 332422840593 603285895891 775653294717 1809857687673 2326959884151 4223001271237 5429573063019 12669003813711 16288719189057 38007011441133 114021034323399