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14263408314 = 2332937246167
BaseRepresentation
bin11010100100010101…
…00101011010111010
31100211001010012212000
431102022211122322
5213202413031224
610315202201430
71013313653541
oct152212453272
940731105760
1014263408314
11605a35a861
122920953276
13146406759c
14994483158
155873150c9
hex3522a56ba

14263408314 has 64 divisors (see below), whose sum is σ = 33675782400. Its totient is φ = 4466435904.

The previous prime is 14263408307. The next prime is 14263408333. The reversal of 14263408314 is 41380436241.

14263408314 is a `hidden beast` number, since 1 + 4 + 2 + 634 + 0 + 8 + 3 + 14 = 666.

14263408314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×142634083143 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65142 + ... + 181025.

It is an arithmetic number, because the mean of its divisors is an integer number (526184100).

Almost surely, 214263408314 is an apocalyptic number.

14263408314 is an abundant number, since it is smaller than the sum of its proper divisors (19412374086).

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

14263408314 is a wasteful number, since it uses less digits than its factorization.

14263408314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246244 (or 246238 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 14263408314 in words is "fourteen billion, two hundred sixty-three million, four hundred eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 37 54 58 74 87 111 174 222 261 333 522 666 783 999 1073 1566 1998 2146 3219 6438 9657 19314 28971 57942 246167 492334 738501 1477002 2215503 4431006 6646509 7138843 9108179 13293018 14277686 18216358 21416529 27324537 42833058 54649074 64249587 81973611 128499174 163947222 192748761 245920833 264137191 385497522 491841666 528274382 792411573 1584823146 2377234719 4754469438 7131704157 14263408314