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1244421000 = 233253372101
BaseRepresentation
bin100101000101100…
…0101101110001000
310012201121010200200
41022023011232020
510022032433000
6323252132200
742560255364
oct11213055610
93181533620
101244421000
11589496a09
122a8907060
1316aa783b4
14bb3b42a4
15743b2500
hex4a2c5b88

1244421000 has 288 divisors, whose sum is σ = 4365695880. Its totient is φ = 319680000.

The previous prime is 1244420959. The next prime is 1244421023. The reversal of 1244421000 is 1244421.

1244421000 is a `hidden beast` number, since 1 + 244 + 421 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 323784036 + 920636964 = 17994^2 + 30342^2 .

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12320950 + ... + 12321050.

Almost surely, 21244421000 is an apocalyptic number.

1244421000 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 1244421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182847940).

1244421000 is an abundant number, since it is smaller than the sum of its proper divisors (3121274880).

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

1244421000 is a wasteful number, since it uses less digits than its factorization.

1244421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1244421000 is about 35276.3518521970. The cubic root of 1244421000 is about 1075.6123426754.

Adding to 1244421000 its reverse (1244421), we get a palindrome (1245665421).

1244421000 divided by its reverse (1244421) gives a cube (1000 = 103).

The spelling of 1244421000 in words is "one billion, two hundred forty-four million, four hundred twenty-one thousand".