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4332241324112 = 241322473647861
BaseRepresentation
bin111111000010101101101…
…101001000100001010000
3120100011021100100200201112
4333002231231020201100
51031434412234332422
613114112034352452
7624664656445112
oct77025555104120
916304240320645
104332241324112
111420325316979
1259b74aa2b728
132556b445c200
1410d9784433b2
1577a58e23ee2
hex3f0adb48850

4332241324112 has 60 divisors (see below), whose sum is σ = 9092744465724. Its totient is φ = 1998684380160.

The previous prime is 4332241324093. The next prime is 4332241324121. The reversal of 4332241324112 is 2114231422334.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 651998111296 + 3680243212816 = 807464^2 + 1918396^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6363062 + ... + 7010922.

Almost surely, 24332241324112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4332241324112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546372232862).

4332241324112 is an abundant number, since it is smaller than the sum of its proper divisors (4760503141612).

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

4332241324112 is a wasteful number, since it uses less digits than its factorization.

4332241324112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650368 (or 650349 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 4332241324112 its reverse (2114231422334), we get a palindrome (6446472746446).

The spelling of 4332241324112 in words is "four trillion, three hundred thirty-two billion, two hundred forty-one million, three hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2473 2704 4946 9892 19784 32149 39568 64298 128596 257192 417937 514384 647861 835874 1295722 1671748 2591444 3343496 5182888 6686992 8422193 10365776 16844386 33688772 67377544 109488509 134755088 218977018 437954036 875908072 1602160253 1751816144 3204320506 6408641012 12817282024 20828083289 25634564048 41656166578 83312333156 166624666312 270765082757 333249332624 541530165514 1083060331028 2166120662056 4332241324112