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14434023302055 = 3257313973723271
BaseRepresentation
bin1101001000001010111011…
…0101001110001110100111
31220002212201220100010222200
43102002232311032032213
53342441334431131210
650410522044425543
73016552360505040
oct322025665161647
956085656303880
1014434023302055
114665486950435
1217514b12482b3
13809179347186
1437c8791378c7
151a06de74a0c0
hexd20aed4e3a7

14434023302055 has 96 divisors (see below), whose sum is σ = 29589825527808. Its totient is φ = 6369472454400.

The previous prime is 14434023302051. The next prime is 14434023302057. The reversal of 14434023302055 is 55020332043441.

14434023302055 is a `hidden beast` number, since 1 + 4 + 4 + 340 + 2 + 3 + 302 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 14434023302055 - 22 = 14434023302051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434023302051) 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 95 ways as a sum of consecutive naturals, for example, 2015070 + ... + 5738340.

It is an arithmetic number, because the mean of its divisors is an integer number (308227349248).

Almost surely, 214434023302055 is an apocalyptic number.

14434023302055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14434023302055 is an abundant number, since it is smaller than the sum of its proper divisors (15155802225753).

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

14434023302055 is a wasteful number, since it uses less digits than its factorization.

14434023302055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723717 (or 3723714 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 14434023302055 its reverse (55020332043441), we get a palindrome (69454355345496).

The spelling of 14434023302055 in words is "fourteen trillion, four hundred thirty-four billion, twenty-three million, three hundred two thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 397 465 651 1085 1191 1395 1953 1985 2779 3255 3573 5955 8337 9765 12307 13895 17865 25011 36921 41685 61535 86149 110763 125055 184605 258447 430745 553815 775341 1292235 3723271 3876705 11169813 18616355 26062897 33509439 55849065 78188691 115421401 130314485 167547195 234566073 346264203 390943455 577107005 807949807 1038792609 1172830365 1478138587 1731321015 2423849421 4039749035 4434415761 5193963045 7271548263 7390692935 10346970109 12119247105 13303247283 22172078805 31040910327 36357741315 45822296197 51734850545 66516236415 93122730981 137466888591 155204551635 229111480985 320756073379 412400665773 465613654905 687334442955 962268220137 1603780366895 2062003328865 2886804660411 4811341100685 14434023302055