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5144241300 = 223521141193197
BaseRepresentation
bin1001100101001111…
…01110010010010100
3111021111210112102120
410302213232102110
541013411210200
62210242535540
7241323221022
oct46247562224
914244715376
105144241300
1121aa8766a0
12bb69675b0
1363c9c2583
1436b2cb712
152019499a0
hex1329ee494

5144241300 has 288 divisors, whose sum is σ = 16804174464. Its totient is φ = 1204224000.

The previous prime is 5144241281. The next prime is 5144241301. The reversal of 5144241300 is 31424415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144241301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26112802 + ... + 26112998.

It is an arithmetic number, because the mean of its divisors is an integer number (58347828).

Almost surely, 25144241300 is an apocalyptic number.

5144241300 is a gapful number since it is divisible by the number (50) 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 5144241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402087232).

5144241300 is an abundant number, since it is smaller than the sum of its proper divisors (11659933164).

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

5144241300 is a wasteful number, since it uses less digits than its factorization.

5144241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5144241300 is about 71723.3664854070. The cubic root of 5144241300 is about 1726.2635900321.

Adding to 5144241300 its reverse (31424415), we get a palindrome (5175665715).

The spelling of 5144241300 in words is "five billion, one hundred forty-four million, two hundred forty-one thousand, three hundred".