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14364134430 = 235920352027
BaseRepresentation
bin11010110000010101…
…10100110000011110
31101002001122122002220
431120022310300132
5213404204300210
610333201130210
71015646061642
oct153012646036
941061578086
1014364134430
1161011a7888
12294a629966
13147bba3739
149a39c2c22
155910aec70
hex3582b4c1e

14364134430 has 32 divisors (see below), whose sum is σ = 34478331264. Its totient is φ = 3829946016.

The previous prime is 14364134417. The next prime is 14364134461. The reversal of 14364134430 is 3443146341.

It is a happy number.

It is a super-3 number, since 3×143641344303 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 14364134391 and 14364134400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250077 + ... + 302103.

It is an arithmetic number, because the mean of its divisors is an integer number (1077447852).

Almost surely, 214364134430 is an apocalyptic number.

14364134430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14364134430 is an abundant number, since it is smaller than the sum of its proper divisors (20114196834).

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

14364134430 is a wasteful number, since it uses less digits than its factorization.

14364134430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61240.

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 14364134430 in words is "fourteen billion, three hundred sixty-four million, one hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 9203 18406 27609 46015 52027 55218 92030 104054 138045 156081 260135 276090 312162 520270 780405 1560810 478804481 957608962 1436413443 2394022405 2872826886 4788044810 7182067215 14364134430