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14045611032 = 2333307211811
BaseRepresentation
bin11010001010010111…
…10000010000011000
31100020212021222011000
431011023300100120
5212231134023112
610241422105000
71005030503205
oct150513602030
940225258130
1014045611032
115a58421502
12287ba1b160
13142abbb65b
1497358acac
155731427dc
hex3452f0418

14045611032 has 64 divisors (see below), whose sum is σ = 39142857600. Its totient is φ = 4666597920.

The previous prime is 14045611009. The next prime is 14045611057. The reversal of 14045611032 is 23011654041.

It is a happy number.

14045611032 is a `hidden beast` number, since 1 + 4 + 0 + 45 + 611 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14045610987 and 14045611005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39594 + ... + 172217.

It is an arithmetic number, because the mean of its divisors is an integer number (611607150).

Almost surely, 214045611032 is an apocalyptic number.

14045611032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14045611032 is an abundant number, since it is smaller than the sum of its proper divisors (25097246568).

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

14045611032 is a wasteful number, since it uses less digits than its factorization.

14045611032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212133 (or 212123 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 14045611032 in words is "fourteen billion, forty-five million, six hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 307 614 921 1228 1842 2456 2763 3684 5526 7368 8289 11052 16578 22104 33156 66312 211811 423622 635433 847244 1270866 1694488 1906299 2541732 3812598 5083464 5718897 7625196 11437794 15250392 22875588 45751176 65025977 130051954 195077931 260103908 390155862 520207816 585233793 780311724 1170467586 1560623448 1755701379 2340935172 3511402758 4681870344 7022805516 14045611032