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4334221442012 = 22711109233554087
BaseRepresentation
bin111111000100100011101…
…110101011101111011100
3120100100101100022002211112
4333010203232223233130
51032002441142121022
613115040331241152
7625065022251440
oct77044356535734
916310340262745
104334221442012
111421151013850
125a0001ba91b8
1325593b7649c7
1410dac5404820
1577b22baa8e2
hex3f123babbdc

4334221442012 has 96 divisors (see below), whose sum is σ = 9584215280640. Its totient is φ = 1665981457920.

The previous prime is 4334221441967. The next prime is 4334221442099. The reversal of 4334221442012 is 2102441224334.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4334221442012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7545233 + ... + 8099319.

It is an arithmetic number, because the mean of its divisors is an integer number (99835575840).

Almost surely, 24334221442012 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 4334221442012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792107640320).

4334221442012 is an abundant number, since it is smaller than the sum of its proper divisors (5249993838628).

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

4334221442012 is a wasteful number, since it uses less digits than its factorization.

4334221442012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554451 (or 554449 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4334221442012 its reverse (2102441224334), we get a palindrome (6436662666346).

The spelling of 4334221442012 in words is "four trillion, three hundred thirty-four billion, two hundred twenty-one million, four hundred forty-two thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 109 154 218 233 308 436 466 763 932 1199 1526 1631 2398 2563 3052 3262 4796 5126 6524 8393 10252 16786 17941 25397 33572 35882 50794 71764 101588 177779 279367 355558 554087 558734 711116 1108174 1117468 1955569 2216348 3878609 3911138 6094957 7757218 7822276 12189914 15514436 24379828 42664699 60395483 85329398 120790966 129102271 170658796 241581932 258204542 422768381 516409084 664350313 845536762 903715897 1328700626 1420124981 1691073524 1807431794 2657401252 2840249962 3614863588 4650452191 5680499924 9300904382 9940874867 14072147539 18601808764 19881749734 28144295078 39763499468 56288590156 98505032773 154793622929 197010065546 309587245858 394020131092 619174491716 1083555360503 2167110721006 4334221442012