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14123143680 = 293531137433
BaseRepresentation
bin11010010011100111…
…00001001000000000
31100110021012000221120
431021303201020000
5212411011044210
610253231552240
71006661512002
oct151163411000
940407160846
1014123143680
115a98167978
1228a198b680
131440c96969
1497d9b0372
15579d5a270
hex349ce1200

14123143680 has 320 divisors, whose sum is σ = 47054988288. Its totient is φ = 3609722880.

The previous prime is 14123143621. The next prime is 14123143681. The reversal of 14123143680 is 8634132141.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (14123143681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32616744 + ... + 32617176.

Almost surely, 214123143680 is an apocalyptic number.

14123143680 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 14123143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23527494144).

14123143680 is an abundant number, since it is smaller than the sum of its proper divisors (32931844608).

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

14123143680 is a wasteful number, since it uses less digits than its factorization.

14123143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 14123143680 in words is "fourteen billion, one hundred twenty-three million, one hundred forty-three thousand, six hundred eighty".