Search a number
-
+
4319407802112 = 2831323179107127
BaseRepresentation
bin111110110110110000110…
…001001000011100000000
3120021221010221211020010220
4332312300301020130000
51031232121344131422
613104150351423040
7624031644350064
oct76666061103400
916257127736126
104319407802112
11141593a108947
12599168b24a80
1325441a708700
1410d0bbc51aa4
1577557408e5c
hex3edb0c48700

4319407802112 has 864 divisors, whose sum is σ = 13237490810880. Its totient is φ = 1248121405440.

The previous prime is 4319407802089. The next prime is 4319407802167. The reversal of 4319407802112 is 2112087049134.

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, 34011084993 + ... + 34011085119.

It is an arithmetic number, because the mean of its divisors is an integer number (15321169920).

Almost surely, 24319407802112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4319407802112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618745405440).

4319407802112 is an abundant number, since it is smaller than the sum of its proper divisors (8918083008768).

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

4319407802112 is a wasteful number, since it uses less digits than its factorization.

4319407802112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 4319407802112 in words is "four trillion, three hundred nineteen billion, four hundred seven million, eight hundred two thousand, one hundred twelve".