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5544144000 = 27325338501
BaseRepresentation
bin1010010100111010…
…01110110010000000
3112022101021200210200
411022131032302000
542323300102000
62314050125200
7254250306063
oct51235166200
915271250720
105544144000
11239558549a
1210a8880800
136a47cb7a5
143a84688da
15226ade500
hex14a74ec80

5544144000 has 192 divisors, whose sum is σ = 19910924280. Its totient is φ = 1478400000.

The previous prime is 5544143981. The next prime is 5544144029. The reversal of 5544144000 is 4414455.

It can be written as a sum of positive squares in 4 ways, for example, as 2371300416 + 3172843584 = 48696^2 + 56328^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124750 + ... + 163250.

Almost surely, 25544144000 is an apocalyptic number.

5544144000 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 5544144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9955462140).

5544144000 is an abundant number, since it is smaller than the sum of its proper divisors (14366780280).

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

5544144000 is a wasteful number, since it uses less digits than its factorization.

5544144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38536 (or 38511 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 5544144000 is about 74459.0088572229. The cubic root of 5544144000 is about 1769.8841253263.

Adding to 5544144000 its reverse (4414455), we get a palindrome (5548558455).

The spelling of 5544144000 in words is "five billion, five hundred forty-four million, one hundred forty-four thousand".