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19140303312 = 24321347832621
BaseRepresentation
bin10001110100110110…
…011101100111010000
31211101220212011002200
4101310312131213100
5303144404201222
612443135043200
71245212615364
oct216466354720
954356764080
1019140303312
118132225199
123862070500
131a60552b80
14cd805b2a4
15770550eac
hex474d9d9d0

19140303312 has 240 divisors, whose sum is σ = 59646682368. Its totient is φ = 5692400640.

The previous prime is 19140303283. The next prime is 19140303331. The reversal of 19140303312 is 21330304191.

19140303312 is a `hidden beast` number, since 1 + 9 + 1 + 40 + 303 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7301362 + ... + 7303982.

Almost surely, 219140303312 is an apocalyptic number.

19140303312 is a gapful number since it is divisible by the number (12) 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 19140303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29823341184).

19140303312 is an abundant number, since it is smaller than the sum of its proper divisors (40506379056).

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

19140303312 is a wasteful number, since it uses less digits than its factorization.

19140303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 19140303312 in words is "nineteen billion, one hundred forty million, three hundred three thousand, three hundred twelve".