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114444333314322 = 231121094433264581
BaseRepresentation
bin11010000001011000100101…
…110101010111000100010010
3120000012202211100202120021120
4122001120211311113010102
5110000023443312024242
61043223000110503110
733051221160422154
oct3201304565270422
9500182740676246
10114444333314322
1133513629664400
1210a040b3804a96
134bb209247269b
1420391c732aad4
15d36e5e2131ec
hex681625d57112

114444333314322 has 96 divisors (see below), whose sum is σ = 254469727068480. Its totient is φ = 34284357993600.

The previous prime is 114444333314317. The next prime is 114444333314383. The reversal of 114444333314322 is 223413333444411.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33424072 + ... + 36688652.

It is an arithmetic number, because the mean of its divisors is an integer number (2650726323630).

Almost surely, 2114444333314322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114444333314322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127234863534240).

114444333314322 is an abundant number, since it is smaller than the sum of its proper divisors (140025393754158).

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

114444333314322 is a wasteful number, since it uses less digits than its factorization.

114444333314322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265160 (or 3265149 counting only the distinct ones).

The product of its digits is 995328, while the sum is 42.

Adding to 114444333314322 its reverse (223413333444411), we get a palindrome (337857666758733).

The spelling of 114444333314322 in words is "one hundred fourteen trillion, four hundred forty-four billion, three hundred thirty-three million, three hundred fourteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 109 121 218 242 327 363 443 654 726 886 1199 1329 2398 2658 3597 4873 7194 9746 13189 14619 26378 29238 39567 48287 53603 79134 96574 107206 144861 160809 289722 321618 531157 1062314 1593471 3186942 3264581 5842727 6529162 9793743 11685454 17528181 19587486 35056362 35910391 71820782 107731173 215462346 355839329 395014301 711678658 790028602 1067517987 1185042903 1446209383 2135035974 2370085806 2892418766 3914232619 4338628149 7828465238 8677256298 11742697857 15908303213 23485395714 31816606426 43056558809 47724909639 86113117618 95449819278 129169676427 157636822747 174991335343 258339352854 315273645494 349982670686 472910468241 524974006029 945820936482 1049948012058 1734005050217 3468010100434 5202015150651 10404030301302 19074055552387 38148111104774 57222166657161 114444333314322