Search a number
-
+
4332220050240 = 263257109211597
BaseRepresentation
bin111111000010101100011…
…011111110101101000000
3120100011012212022212110100
4333002230123332231000
51031434341313101430
613114105554402400
7624664310562135
oct77025433765500
916304185285410
104332220050240
111420314306565
1259b743890400
132556acc21014
1410d9756a658c
1577a57120960
hex3f0ac6feb40

4332220050240 has 168 divisors, whose sum is σ = 14903198392680. Its totient is φ = 1155090714624.

The previous prime is 4332220050227. The next prime is 4332220050241. The reversal of 4332220050240 is 420500222334.

It is a happy number.

4332220050240 is a `hidden beast` number, since 433 + 2 + 2 + 200 + 5 + 0 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92508439104 + 4239711611136 = 304152^2 + 2059056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332220050241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20368122 + ... + 20579718.

Almost surely, 24332220050240 is an apocalyptic number.

4332220050240 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 4332220050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451599196340).

4332220050240 is an abundant number, since it is smaller than the sum of its proper divisors (10570978342440).

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

4332220050240 is a wasteful number, since it uses less digits than its factorization.

4332220050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218729 (or 218716 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 4332220050240 its reverse (420500222334), we get a palindrome (4752720272574).

The spelling of 4332220050240 in words is "four trillion, three hundred thirty-two billion, two hundred twenty million, fifty thousand, two hundred forty".