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1244040000 = 2635471481
BaseRepresentation
bin100101000100110…
…1000101101000000
310012200212210001120
41022021220231000
510021433240000
6323240032240
742554110530
oct11211505500
93180783046
101244040000
11589256735
122a8762680
1316a973b58
14bb3154c0
15743396a0
hex4a268b40

1244040000 has 280 divisors, whose sum is σ = 4703844288. Its totient is φ = 284160000.

The previous prime is 1244039989. The next prime is 1244040023. The reversal of 1244040000 is 404421.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 839260 + ... + 840740.

Almost surely, 21244040000 is an apocalyptic number.

1244040000 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 1244040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351922144).

1244040000 is an abundant number, since it is smaller than the sum of its proper divisors (3459804288).

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

1244040000 is an equidigital number, since it uses as much as digits as its factorization.

1244040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1244040000 is about 35270.9512205157. The cubic root of 1244040000 is about 1075.5025593216.

Adding to 1244040000 its reverse (404421), we get a palindrome (1244444421).

The spelling of 1244040000 in words is "one billion, two hundred forty-four million, forty thousand".