Search a number
-
+
900630110240 = 255723233150053
BaseRepresentation
bin11010001101100011011…
…11001110000000100000
310012002200110102222222122
431012301233032000200
5104223442302011430
61525424352523412
7122032311424430
oct15066157160040
93162613388878
10900630110240
11317a56243a63
1212666b250568
1366c10197bc3
143183ad6a2c0
15186629e5ee5
hexd1b1bce020

900630110240 has 192 divisors, whose sum is σ = 2548334670336. Its totient is φ = 294092316672.

The previous prime is 900630110221. The next prime is 900630110251. The reversal of 900630110240 is 42011036009.

It is a super-2 number, since 2×9006301102402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5927054 + ... + 6077106.

It is an arithmetic number, because the mean of its divisors is an integer number (13272576408).

Almost surely, 2900630110240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900630110240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274167335168).

900630110240 is an abundant number, since it is smaller than the sum of its proper divisors (1647704560096).

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

900630110240 is a wasteful number, since it uses less digits than its factorization.

900630110240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150331 (or 150323 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 900630110240 its reverse (42011036009), we get a palindrome (942641146249).

The spelling of 900630110240 in words is "nine hundred billion, six hundred thirty million, one hundred ten thousand, two hundred forty".