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23214111141232 = 2411211990759887
BaseRepresentation
bin1010100011100111101001…
…10110010010110101110000
310001012020200022121201021201
411101303310312102311300
511020314444423004412
6121212225422300544
74614110212655314
oct521636466226560
9101166608551251
1023214111141232
11744005a604200
12272b072a27754
13cc51097865cb
145a37d739db44
152a3cbb7d7e57
hex151cf4d92d70

23214111141232 has 30 divisors (see below), whose sum is σ = 49437903018224. Its totient is φ = 10551868699680.

The previous prime is 23214111141229. The next prime is 23214111141329.

23214111141232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23214111141232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5995378008 + ... + 5995381879.

Almost surely, 223214111141232 is an apocalyptic number.

23214111141232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23214111141232 is an abundant number, since it is smaller than the sum of its proper divisors (26223791876992).

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

23214111141232 is a wasteful number, since it uses less digits than its factorization.

23214111141232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11990759917 (or 11990759900 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 2321411 and 1141232, that added together give a palindrome (3462643).

The spelling of 23214111141232 in words is "twenty-three trillion, two hundred fourteen billion, one hundred eleven million, one hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 11990759887 23981519774 47963039548 95926079096 131898358757 191852158192 263796717514 527593435028 1055186870056 1450881946327 2110373740112 2901763892654 5803527785308 11607055570616 23214111141232