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14124757842 = 23213449134437
BaseRepresentation
bin11010010011110011…
…01011001101010010
31100110101020001011100
431021321223031102
5212411414222332
610253330325230
71010011314006
oct151171531522
940411201140
1014124757842
115a9906a698
1228a2429816
1314414105a0
1497dcb0706
1557a07867c
hex349e6b352

14124757842 has 48 divisors (see below), whose sum is σ = 33031416600. Its totient is φ = 4336367616.

The previous prime is 14124757811. The next prime is 14124757847. The reversal of 14124757842 is 24875742141.

14124757842 is a `hidden beast` number, since 14 + 1 + 24 + 7 + 578 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11642625801 + 2482132041 = 107901^2 + 49821^2 .

It is not an unprimeable number, because it can be changed into a prime (14124757847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37848 + ... + 172284.

Almost surely, 214124757842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14124757842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515708300).

14124757842 is an abundant number, since it is smaller than the sum of its proper divisors (18906658758).

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

14124757842 is a wasteful number, since it uses less digits than its factorization.

14124757842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134907 (or 134904 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The spelling of 14124757842 in words is "fourteen billion, one hundred twenty-four million, seven hundred fifty-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 449 898 1347 2694 4041 5837 8082 11674 17511 35022 52533 105066 134437 268874 403311 806622 1209933 1747681 2419866 3495362 5243043 10486086 15729129 31458258 60362213 120724426 181086639 362173278 543259917 784708769 1086519834 1569417538 2354126307 4708252614 7062378921 14124757842