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14124233352 = 23317197175727
BaseRepresentation
bin11010010011101111…
…01011001010001000
31100110100020101200210
431021313223022020
5212411300431402
610253311201120
71010004000615
oct151167531210
940410211623
1014124233352
115a98841629
1228a22161a0
131441288938
1497dbb550c
15579ec306c
hex349deb288

14124233352 has 64 divisors (see below), whose sum is σ = 37577675520. Its totient is φ = 4408613888.

The previous prime is 14124233311. The next prime is 14124233359. The reversal of 14124233352 is 25333242141.

14124233352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14124233359) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7488 + ... + 168239.

It is an arithmetic number, because the mean of its divisors is an integer number (587151180).

Almost surely, 214124233352 is an apocalyptic number.

14124233352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14124233352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18788837760).

14124233352 is an abundant number, since it is smaller than the sum of its proper divisors (23453442168).

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

14124233352 is a wasteful number, since it uses less digits than its factorization.

14124233352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175950 (or 175946 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

Adding to 14124233352 its reverse (25333242141), we get a palindrome (39457475493).

The spelling of 14124233352 in words is "fourteen billion, one hundred twenty-four million, two hundred thirty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 197 204 394 408 591 788 1182 1576 2364 3349 4728 6698 10047 13396 20094 26792 40188 80376 175727 351454 527181 702908 1054362 1405816 2108724 2987359 4217448 5974718 8962077 11949436 17924154 23898872 34618219 35848308 69236438 71696616 103854657 138472876 207709314 276945752 415418628 588509723 830837256 1177019446 1765529169 2354038892 3531058338 4708077784 7062116676 14124233352