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44041240224 = 2532295273137
BaseRepresentation
bin101001000001000011…
…111111111010100000
311012200022100210220100
4221001003333322200
51210144024141344
632122100342400
73116245236162
oct510103777240
9135608323810
1044041240224
111775014a6a3
1286513a4a00
1341cb3b3177
1421bb1b8932
15122b6a6569
hexa410ffea0

44041240224 has 72 divisors (see below), whose sum is σ = 129561000660. Its totient is φ = 14174189568.

The previous prime is 44041240223. The next prime is 44041240237. The reversal of 44041240224 is 42204214044.

It can be written as a sum of positive squares in 2 ways, for example, as 37740055824 + 6301184400 = 194268^2 + 79380^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (44041240223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2628217 + ... + 2644920.

Almost surely, 244041240224 is an apocalyptic number.

It is an amenable number.

44041240224 is an abundant number, since it is smaller than the sum of its proper divisors (85519760436).

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

44041240224 is a wasteful number, since it uses less digits than its factorization.

44041240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273182 (or 5273171 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 44041240224 its reverse (42204214044), we get a palindrome (86245454268).

The spelling of 44041240224 in words is "forty-four billion, forty-one million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 5273137 10546274 15819411 21092548 31638822 42185096 47458233 63277644 84370192 94916466 126555288 152920973 168740384 189832932 253110576 305841946 379665864 458762919 506221152 611683892 759331728 917525838 1223367784 1376288757 1518663456 1835051676 2446735568 2752577514 3670103352 4893471136 5505155028 7340206704 11010310056 14680413408 22020620112 44041240224