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14023142442 = 23310310723563
BaseRepresentation
bin11010000111101100…
…00010110000101010
31100012022000110001000
431003312002300222
5212204411024232
610235300335430
71004335513131
oct150366026052
940168013030
1014023142442
115a46775521
1228743a4576
13142635272a
149705bc918
155711a527c
hex343d82c2a

14023142442 has 64 divisors (see below), whose sum is σ = 31760501760. Its totient is φ = 4585542192.

The previous prime is 14023142437. The next prime is 14023142491. The reversal of 14023142442 is 24424132041.

14023142442 is a `hidden beast` number, since 1 + 4 + 0 + 231 + 424 + 4 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583353 + ... + 606915.

It is an arithmetic number, because the mean of its divisors is an integer number (496257840).

Almost surely, 214023142442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14023142442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15880250880).

14023142442 is an abundant number, since it is smaller than the sum of its proper divisors (17737359318).

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

14023142442 is a wasteful number, since it uses less digits than its factorization.

14023142442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23784 (or 23778 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14023142442 its reverse (24424132041), we get a palindrome (38447274483).

The spelling of 14023142442 in words is "fourteen billion, twenty-three million, one hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 103 107 206 214 309 321 618 642 927 963 1854 1926 2781 2889 5562 5778 11021 22042 23563 33063 47126 66126 70689 99189 141378 198378 212067 297567 424134 595134 636201 1272402 2426989 2521241 4853978 5042482 7280967 7563723 14561934 15127446 21842901 22691169 43685802 45382338 65528703 68073507 131057406 136147014 259687823 519375646 779063469 1558126938 2337190407 4674380814 7011571221 14023142442