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14129719880 = 2352942128933
BaseRepresentation
bin11010010100011001…
…00110101001001000
31100110201120010210112
431022030212221020
5212414202014010
610254024533452
71010101431413
oct151214465110
940421503715
1014129719880
115aa0949751
1228a4021288
131442459cc3
14980802b7a
1557a708a05
hex34a326a48

14129719880 has 64 divisors (see below), whose sum is σ = 32967399600. Its totient is φ = 5443845120.

The previous prime is 14129719861. The next prime is 14129719907. The reversal of 14129719880 is 8891792141.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1960541284 + 12169178596 = 44278^2 + 110314^2 .

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473894 + ... + 502826.

Almost surely, 214129719880 is an apocalyptic number.

14129719880 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 14129719880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483699800).

14129719880 is an abundant number, since it is smaller than the sum of its proper divisors (18837679720).

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

14129719880 is a wasteful number, since it uses less digits than its factorization.

14129719880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29394 (or 29390 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 50.

The spelling of 14129719880 in words is "fourteen billion, one hundred twenty-nine million, seven hundred nineteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 421 580 842 1160 1684 2105 3368 4210 8420 12209 16840 24418 28933 48836 57866 61045 97672 115732 122090 144665 231464 244180 289330 488360 578660 839057 1157320 1678114 3356228 4195285 6712456 8390570 12180793 16781140 24361586 33562280 48723172 60903965 97446344 121807930 243615860 353242997 487231720 706485994 1412971988 1766214985 2825943976 3532429970 7064859940 14129719880