Search a number
-
+
3065302848240 = 2434523316071093
BaseRepresentation
bin101100100110110010010…
…010011001001011110000
3101212001002020002200110000
4230212302102121023300
5400210220012120430
610304103010110000
7434314030210533
oct54466222311360
911761066080400
103065302848240
11a81a95600146
124160ab87b300
13193097aa2cc9
14a850bb62a1a
1554b077c0e60
hex2c9b24992f0

3065302848240 has 800 divisors, whose sum is σ = 11496891580416. Its totient is φ = 754714920960.

The previous prime is 3065302848221. The next prime is 3065302848277. The reversal of 3065302848240 is 428482035603.

3065302848240 is a `hidden beast` number, since 3 + 0 + 65 + 302 + 8 + 48 + 240 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 2804485134 + ... + 2804486226.

Almost surely, 23065302848240 is an apocalyptic number.

3065302848240 is a gapful number since it is divisible by the number (30) 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 3065302848240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748445790208).

3065302848240 is an abundant number, since it is smaller than the sum of its proper divisors (8431588732176).

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

3065302848240 is a wasteful number, since it uses less digits than its factorization.

3065302848240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 3065302848240 in words is "three trillion, sixty-five billion, three hundred two million, eight hundred forty-eight thousand, two hundred forty".