Search a number
-
+
4282490024280 = 233351316718110091
BaseRepresentation
bin111110010100011000010…
…010111111000101011000
3120011101212002111210121000
4332110120102333011120
51030131014421234110
613035203155345000
7621254044411536
oct76243022770530
916141762453530
104282490024280
111401214a79a56
12591b852b2160
13250ab6098360
1410b3b8b71156
15765e63081c0
hex3e5184bf158

4282490024280 has 512 divisors, whose sum is σ = 15552078796800. Its totient is φ = 1041946675200.

The previous prime is 4282490024251. The next prime is 4282490024291. The reversal of 4282490024280 is 824200942824.

4282490024280 is a `hidden beast` number, since 4 + 2 + 82 + 490 + 0 + 2 + 4 + 2 + 80 = 666.

4282490024280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 424382035 + ... + 424392125.

It is an arithmetic number, because the mean of its divisors is an integer number (30375153900).

Almost surely, 24282490024280 is an apocalyptic number.

4282490024280 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 4282490024280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776039398400).

4282490024280 is an abundant number, since it is smaller than the sum of its proper divisors (11269588772520).

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

4282490024280 is a wasteful number, since it uses less digits than its factorization.

4282490024280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10472 (or 10462 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 4282490024280 in words is "four trillion, two hundred eighty-two billion, four hundred ninety million, twenty-four thousand, two hundred eighty".