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12141413200 = 245274336219
BaseRepresentation
bin10110100111010111…
…10100001101010000
31011100011012200210101
423103223310031100
5144331200210300
65324440342144
7606606211060
oct132353641520
934304180711
1012141413200
115170569494
12242a174954
1311b6548187
1483270d3a0
154b0da5b6a
hex2d3af4350

12141413200 has 60 divisors (see below), whose sum is σ = 33336859360. Its totient is φ = 4162769280.

The previous prime is 12141413173. The next prime is 12141413201. The reversal of 12141413200 is 231414121.

12141413200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141413201) 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 11 ways as a sum of consecutive naturals, for example, 2165310 + ... + 2170909.

Almost surely, 212141413200 is an apocalyptic number.

12141413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141413200 is an abundant number, since it is smaller than the sum of its proper divisors (21195446160).

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

12141413200 is a wasteful number, since it uses less digits than its factorization.

12141413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336244 (or 4336233 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12141413200 its reverse (231414121), we get a palindrome (12372827321).

The spelling of 12141413200 in words is "twelve billion, one hundred forty-one million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 4336219 8672438 17344876 21681095 30353533 34689752 43362190 60707066 69379504 86724380 108405475 121414132 151767665 173448760 216810950 242828264 303535330 346897520 433621900 485656528 607070660 758838325 867243800 1214141320 1517676650 1734487600 2428282640 3035353300 6070706600 12141413200