Search a number
-
+
45020856240 = 2434559117757
BaseRepresentation
bin101001111011011100…
…111011111110110000
311022012120200110110000
4221323130323332300
51214200314344430
632403213110000
73152441651433
oct517334737660
9138176613400
1045020856240
1118103110708
128885488300
134326334209
14227133b81a
1512876ace60
hexa7b73bfb0

45020856240 has 200 divisors, whose sum is σ = 159015692880. Its totient is φ = 11801977344.

The previous prime is 45020856229. The next prime is 45020856277. The reversal of 45020856240 is 4265802054.

It is a happy number.

45020856240 is a `hidden beast` number, since 4 + 5 + 0 + 20 + 8 + 5 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45020856195 and 45020856204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323442 + ... + 441198.

Almost surely, 245020856240 is an apocalyptic number.

45020856240 is a gapful number since it is divisible by the number (40) 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 45020856240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79507846440).

45020856240 is an abundant number, since it is smaller than the sum of its proper divisors (113994836640).

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

45020856240 is a wasteful number, since it uses less digits than its factorization.

45020856240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117841 (or 117826 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 45020856240 in words is "forty-five billion, twenty million, eight hundred fifty-six thousand, two hundred forty".