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4144441344 = 2113674551
BaseRepresentation
bin1111011100000111…
…0010100000000000
3101200211111102201120
43313001302200000
531441434110334
61523125432240
7204463112241
oct36701624000
911624442646
104144441344
11183747a13a
12977b6b680
13510825474
142b45d2cc8
15193ca7949
hexf7072800

4144441344 has 48 divisors (see below), whose sum is σ = 11049161760. Its totient is φ = 1381478400.

The previous prime is 4144441333. The next prime is 4144441361. The reversal of 4144441344 is 4431444414.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 331132 + ... + 343419.

It is an arithmetic number, because the mean of its divisors is an integer number (230190870).

Almost surely, 24144441344 is an apocalyptic number.

It is an amenable number.

4144441344 is an abundant number, since it is smaller than the sum of its proper divisors (6904720416).

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

4144441344 is an equidigital number, since it uses as much as digits as its factorization.

4144441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674576 (or 674556 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

The square root of 4144441344 is about 64377.3356391828. The cubic root of 4144441344 is about 1606.2827636753.

Adding to 4144441344 its reverse (4431444414), we get a palindrome (8575885758).

The spelling of 4144441344 in words is "four billion, one hundred forty-four million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 674551 1349102 2023653 2698204 4047306 5396408 8094612 10792816 16189224 21585632 32378448 43171264 64756896 86342528 129513792 172685056 259027584 345370112 518055168 690740224 1036110336 1381480448 2072220672 4144441344