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14045125223232 = 263224383897957
BaseRepresentation
bin1100110001100010001010…
…1100110010001101000000
31211201200220220222210210200
43030120202230302031000
53320103404024120412
645512124053125200
72646504203413125
oct314304254621500
954650826883720
1014045125223232
11452556003a804
1216aa058029800
137ab5aca9a57c
14367b055b674c
1519552c8249dc
hexcc622b32340

14045125223232 has 42 divisors (see below), whose sum is σ = 40257815528658. Its totient is φ = 4681708407552.

The previous prime is 14045125223183. The next prime is 14045125223281. The reversal of 14045125223232 is 23232252154041.

14045125223232 is a `hidden beast` number, since 1 + 40 + 4 + 512 + 52 + 23 + 2 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (14045125223183) and next prime (14045125223281).

It can be written as a sum of positive squares in only one way, i.e., 7287537807936 + 6757587415296 = 2699544^2 + 2599536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 12191948403 + ... + 12191949554.

It is an arithmetic number, because the mean of its divisors is an integer number (958519417349).

Almost surely, 214045125223232 is an apocalyptic number.

14045125223232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14045125223232 is an abundant number, since it is smaller than the sum of its proper divisors (26212690305426).

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

14045125223232 is a wasteful number, since it uses less digits than its factorization.

14045125223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24383897975 (or 24383897962 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 14045125223232 its reverse (23232252154041), we get a palindrome (37277377377273).

The spelling of 14045125223232 in words is "fourteen trillion, forty-five billion, one hundred twenty-five million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 24383897957 48767795914 73151693871 97535591828 146303387742 195071183656 219455081613 292606775484 390142367312 438910163226 585213550968 780284734624 877820326452 1170427101936 1560569469248 1755640652904 2340854203872 3511281305808 4681708407744 7022562611616 14045125223232