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14042123442 = 2337913125127
BaseRepresentation
bin11010001001111100…
…11100110010110010
31100020121201210002000
431010332130302302
5212224240422232
610241215234430
71004656036254
oct150476346262
940217653060
1014042123442
115a5645a1a6
12287a818a16
13142a26a0a9
14972d1dcd4
15572ba427c
hex344f9ccb2

14042123442 has 64 divisors (see below), whose sum is σ = 31842201600. Its totient is φ = 4585997520.

The previous prime is 14042123419. The next prime is 14042123449. The reversal of 14042123442 is 24432124041.

14042123442 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 212 + 3 + 442 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14042123449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546283 + ... + 571409.

It is an arithmetic number, because the mean of its divisors is an integer number (497534400).

Almost surely, 214042123442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14042123442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921100800).

14042123442 is an abundant number, since it is smaller than the sum of its proper divisors (17800078158).

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

14042123442 is a wasteful number, since it uses less digits than its factorization.

14042123442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25348 (or 25342 counting only the distinct ones).

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

Adding to 14042123442 its reverse (24432124041), we get a palindrome (38474247483).

The spelling of 14042123442 in words is "fourteen billion, forty-two million, one hundred twenty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 79 131 158 237 262 393 474 711 786 1179 1422 2133 2358 3537 4266 7074 10349 20698 25127 31047 50254 62094 75381 93141 150762 186282 226143 279423 452286 558846 678429 1356858 1985033 3291637 3970066 5955099 6583274 9874911 11910198 17865297 19749822 29624733 35730594 53595891 59249466 88874199 107191782 177748398 260039323 520078646 780117969 1560235938 2340353907 4680707814 7021061721 14042123442