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4441034433312 = 2532109141470261
BaseRepresentation
bin100000010100000001001…
…0001111010001100100000
3120201120002022210021011100
41000220002101322030200
51040230214303331222
613240103312314400
7635565654560361
oct100500221721440
916646068707140
104441034433312
111462483184074
125b8851542a00
13262a318c1339
14114d39221b68
157a7c50be4ac
hex40a0247a320

4441034433312 has 72 divisors (see below), whose sum is σ = 12745055903580. Its totient is φ = 1466763655680.

The previous prime is 4441034433259. The next prime is 4441034433373. The reversal of 4441034433312 is 2133344301444.

It can be written as a sum of positive squares in 2 ways, for example, as 3459912487056 + 981121946256 = 1860084^2 + 990516^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 70703739 + ... + 70766522.

Almost surely, 24441034433312 is an apocalyptic number.

It is an amenable number.

4441034433312 is an abundant number, since it is smaller than the sum of its proper divisors (8304021470268).

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

4441034433312 is a wasteful number, since it uses less digits than its factorization.

4441034433312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141470386 (or 141470375 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4441034433312 its reverse (2133344301444), we get a palindrome (6574378734756).

The spelling of 4441034433312 in words is "four trillion, four hundred forty-one billion, thirty-four million, four hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1744 1962 2616 3488 3924 5232 7848 10464 15696 31392 141470261 282940522 424410783 565881044 848821566 1131762088 1273232349 1697643132 2263524176 2546464698 3395286264 4527048352 5092929396 6790572528 10185858792 13581145056 15420258449 20371717584 30840516898 40743435168 46260775347 61681033796 92521550694 123362067592 138782326041 185043101388 246724135184 277564652082 370086202776 493448270368 555129304164 740172405552 1110258608328 1480344811104 2220517216656 4441034433312