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1244004944 = 247213241229
BaseRepresentation
bin100101000100110…
…0000001001010000
310012200210222222012
41022021200021100
510021431124234
6323235202052
742553603400
oct11211401120
93180728865
101244004944
11589232366
122a8746328
1316a960c00
14bb306800
157432e0ce
hex4a260250

1244004944 has 180 divisors, whose sum is σ = 3123667260. Its totient is φ = 478033920.

The previous prime is 1244004929. The next prime is 1244004947. The reversal of 1244004944 is 4494004421.

It can be written as a sum of positive squares in 6 ways, for example, as 199939600 + 1044065344 = 14140^2 + 32312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1244004944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244004947) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5432222 + ... + 5432450.

It is an arithmetic number, because the mean of its divisors is an integer number (17353707).

Almost surely, 21244004944 is an apocalyptic number.

1244004944 is a gapful number since it is divisible by the number (14) 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 1244004944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561833630).

1244004944 is an abundant number, since it is smaller than the sum of its proper divisors (1879662316).

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

1244004944 is a wasteful number, since it uses less digits than its factorization.

1244004944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 1244004944 is about 35270.4542641571. The cubic root of 1244004944 is about 1075.4924569745.

The spelling of 1244004944 in words is "one billion, two hundred forty-four million, four thousand, nine hundred forty-four".