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4334523424344 = 2332137670365557
BaseRepresentation
bin111111000100110101101…
…110101001111001011000
3120100101011101112101201100
4333010311232221321120
51032004100444034334
613115130315551400
7625105350125421
oct77046556517130
916311141471640
104334523424344
111421296521623
125a008715b560
132559891a7b89
1410db13572648
1577b3e45bc99
hex3f135ba9e58

4334523424344 has 96 divisors (see below), whose sum is σ = 11826967389120. Its totient is φ = 1434059002368.

The previous prime is 4334523424331. The next prime is 4334523424369. The reversal of 4334523424344 is 4434243254334.

4334523424344 is a `hidden beast` number, since 4 + 3 + 3 + 4 + 523 + 42 + 43 + 44 = 666.

It is a super-3 number, since 3×43345234243443 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4334523424344.

It is a congruent number.

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, 66085614 + ... + 66151170.

It is an arithmetic number, because the mean of its divisors is an integer number (123197576970).

Almost surely, 24334523424344 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 4334523424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913483694560).

4334523424344 is an abundant number, since it is smaller than the sum of its proper divisors (7492443964776).

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

4334523424344 is a wasteful number, since it uses less digits than its factorization.

4334523424344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72409 (or 72402 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 45.

Adding to 4334523424344 its reverse (4434243254334), we get a palindrome (8768766678678).

The spelling of 4334523424344 in words is "four trillion, three hundred thirty-four billion, five hundred twenty-three million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 6703 9864 13406 20109 26812 40218 53624 60327 65557 80436 120654 131114 160872 196671 241308 262228 393342 482616 524456 590013 786684 918311 1180026 1573368 1836622 2360052 2754933 3673244 4720104 5509866 7346488 8264799 8981309 11019732 16529598 17962618 22039464 26943927 33059196 35925236 53887854 66118392 71850472 80831781 107775708 161663562 215551416 323327124 439428571 646654248 878857142 1318285713 1757714284 2636571426 3515428568 3954857139 5273142852 7909714278 10546285704 15819428556 31638857112 60201714227 120403428454 180605142681 240806856908 361210285362 481613713816 541815428043 722420570724 1083630856086 1444841141448 2167261712172 4334523424344