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14042123232 = 253523279679
BaseRepresentation
bin11010001001111100…
…11100101111100000
31100020121201202210020
431010332130233200
5212224240420412
610241215233440
71004656035534
oct150476345740
940217652706
1014042123232
115a5645a025
12287a818880
13142a269c77
14972d1dbc4
15572ba418c
hex344f9cbe0

14042123232 has 48 divisors (see below), whose sum is σ = 36931184640. Its totient is φ = 4671741312.

The previous prime is 14042123219. The next prime is 14042123237. The reversal of 14042123232 is 23232124041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042123237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89632 + ... + 190047.

It is an arithmetic number, because the mean of its divisors is an integer number (769399680).

Almost surely, 214042123232 is an apocalyptic number.

14042123232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14042123232 is an abundant number, since it is smaller than the sum of its proper divisors (22889061408).

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

14042123232 is a wasteful number, since it uses less digits than its factorization.

14042123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280215 (or 280207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14042123232 its reverse (23232124041), we get a palindrome (37274247273).

The spelling of 14042123232 in words is "fourteen billion, forty-two million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 523 1046 1569 2092 3138 4184 6276 8368 12552 16736 25104 50208 279679 559358 839037 1118716 1678074 2237432 3356148 4474864 6712296 8949728 13424592 26849184 146272117 292544234 438816351 585088468 877632702 1170176936 1755265404 2340353872 3510530808 4680707744 7021061616 14042123232