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14123542300 = 225272947113131
BaseRepresentation
bin11010010011101010…
…00010011100011100
31100110021221021202021
431021311002130130
5212411111323200
610253244305524
71006665062110
oct151165023434
940407837667
1014123542300
115a9840a40a
1228a1b422a4
1314410a622a
1497da75740
15579dd841a
hex349d4271c

14123542300 has 288 divisors, whose sum is σ = 37617592320. Its totient is φ = 4500787200.

The previous prime is 14123542291. The next prime is 14123542373. The reversal of 14123542300 is 324532141.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107813235 + ... + 107813365.

It is an arithmetic number, because the mean of its divisors is an integer number (130616640).

Almost surely, 214123542300 is an apocalyptic number.

14123542300 is a gapful number since it is divisible by the number (10) 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 14123542300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808796160).

14123542300 is an abundant number, since it is smaller than the sum of its proper divisors (23494050020).

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

14123542300 is a wasteful number, since it uses less digits than its factorization.

14123542300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 14123542300 in words is "fourteen billion, one hundred twenty-three million, five hundred forty-two thousand, three hundred".