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11244011400 = 23325237197857
BaseRepresentation
bin10100111100011000…
…11111111110001000
31002000121120221221200
422132030133332020
5141011431331100
65055422104200
7545431343226
oct123614377610
932017527850
1011244011400
11484aa51206
12221971b060
1310a26512ab
1478946bb16
1545c1dde00
hex29e31ff88

11244011400 has 288 divisors, whose sum is σ = 39024053640. Its totient is φ = 2899169280.

The previous prime is 11244011393. The next prime is 11244011417. The reversal of 11244011400 is 411044211.

11244011400 is a `hidden beast` number, since 1 + 124 + 401 + 140 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8512276644 + 2731734756 = 92262^2 + 52266^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13119772 + ... + 13120628.

Almost surely, 211244011400 is an apocalyptic number.

11244011400 is a gapful number since it is divisible by the number (10) 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 11244011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19512026820).

11244011400 is an abundant number, since it is smaller than the sum of its proper divisors (27780042240).

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

11244011400 is a wasteful number, since it uses less digits than its factorization.

11244011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11244011400 its reverse (411044211), we get a palindrome (11655055611).

The spelling of 11244011400 in words is "eleven billion, two hundred forty-four million, eleven thousand, four hundred".