Search a number
-
+
4227041738880 = 27345311262187
BaseRepresentation
bin111101100000101111010…
…100100100000010000000
3112222002201210210001110000
4331200233110210002000
51023223440141121010
612553513130240000
7614252014643022
oct75405724440200
915862653701400
104227041738880
11138a7509544a4
1258328b886000
132487ba65061c
14108838a0a012
1574e4d4ab7c0
hex3d82f524080

4227041738880 has 320 divisors, whose sum is σ = 15144125705280. Its totient is φ = 1123582371840.

The previous prime is 4227041738873. The next prime is 4227041738923. The reversal of 4227041738880 is 888371407224.

4227041738880 is a `hidden beast` number, since 4 + 2 + 2 + 70 + 417 + 3 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15991147 + ... + 16253333.

It is an arithmetic number, because the mean of its divisors is an integer number (47325392829).

Almost surely, 24227041738880 is an apocalyptic number.

4227041738880 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 4227041738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572062852640).

4227041738880 is an abundant number, since it is smaller than the sum of its proper divisors (10917083966400).

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

4227041738880 is a wasteful number, since it uses less digits than its factorization.

4227041738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262529 (or 262508 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 4227041738880 in words is "four trillion, two hundred twenty-seven billion, forty-one million, seven hundred thirty-eight thousand, eight hundred eighty".