Search a number
-
+
3315228043296 = 2531321034314603
BaseRepresentation
bin110000001111100010111…
…111010110100000100000
3102201221011221110001110210
4300033202333112200200
5413304041334341141
611014554510254120
7461342304262221
oct60174277264040
912657157401423
103315228043296
111068a86891324
1245661b1b7340
131b0817500300
14b665a661248
155b383c60916
hex303e2fd6820

3315228043296 has 288 divisors, whose sum is σ = 9539025979392. Its totient is φ = 1007603850240.

The previous prime is 3315228043289. The next prime is 3315228043301. The reversal of 3315228043296 is 6923408225133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 720229731 + ... + 720234333.

It is an arithmetic number, because the mean of its divisors is an integer number (33121617984).

Almost surely, 23315228043296 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 3315228043296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769512989696).

3315228043296 is an abundant number, since it is smaller than the sum of its proper divisors (6223797936096).

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

3315228043296 is a wasteful number, since it uses less digits than its factorization.

3315228043296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 3315228043296 in words is "three trillion, three hundred fifteen billion, two hundred twenty-eight million, forty-three thousand, two hundred ninety-six".