Search a number
-
+
4421306340360 = 23335721311935387
BaseRepresentation
bin100000001010110101001…
…1001001101010000001000
3120122200011102220022021000
41000111222121031100020
51034414313410342420
613223041535015000
7634300043546400
oct100255231152010
916580142808230
104421306340360
11145507a190918
125b4a6666a460
13260c09659560
14113dc70b9800
157a01d163690
hex4056a64d408

4421306340360 has 768 divisors, whose sum is σ = 18481503801600. Its totient is φ = 931892097024.

The previous prime is 4421306340331. The next prime is 4421306340361. The reversal of 4421306340360 is 630436031244.

4421306340360 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 306 + 340 + 3 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4421306340361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 820733587 + ... + 820738973.

It is an arithmetic number, because the mean of its divisors is an integer number (24064458075).

Almost surely, 24421306340360 is an apocalyptic number.

4421306340360 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 4421306340360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9240751900800).

4421306340360 is an abundant number, since it is smaller than the sum of its proper divisors (14060197461240).

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

4421306340360 is a wasteful number, since it uses less digits than its factorization.

4421306340360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6610 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 4421306340360 in words is "four trillion, four hundred twenty-one billion, three hundred six million, three hundred forty thousand, three hundred sixty".