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3444022322314 = 278910193729207
BaseRepresentation
bin110010000111011111101…
…110100010010010001010
3110012020121211121022211221
4302013133232202102022
5422411324203303224
611154054554512254
7503552040503110
oct62073756422212
913166554538757
103444022322314
1111086688a7432
1247758413568a
131bca01659672
14bc99794bab0
155e8c0d086e4
hex321dfba248a

3444022322314 has 64 divisors (see below), whose sum is σ = 6036129953280. Its totient is φ = 1443383884800.

The previous prime is 3444022322311. The next prime is 3444022322317. The reversal of 3444022322314 is 4132232204443.

3444022322314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3444022322311) and next prime (3444022322317).

It is a super-3 number, since 3×34440223223143 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3444022322314.

It is not an unprimeable number, because it can be changed into a prime (3444022322311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117903099 + ... + 117932305.

It is an arithmetic number, because the mean of its divisors is an integer number (94314530520).

Almost surely, 23444022322314 is an apocalyptic number.

3444022322314 is a deficient number, since it is larger than the sum of its proper divisors (2592107630966).

3444022322314 is a wasteful number, since it uses less digits than its factorization.

3444022322314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30343.

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 3444022322314 its reverse (4132232204443), we get a palindrome (7576254526757).

The spelling of 3444022322314 in words is "three trillion, four hundred forty-four billion, twenty-two million, three hundred twenty-two thousand, three hundred fourteen".

Divisors: 1 2 7 14 89 101 178 202 623 707 937 1246 1414 1874 6559 8989 13118 17978 29207 58414 62923 83393 94637 125846 166786 189274 204449 408898 583751 662459 1167502 1324918 2599423 2949907 5198846 5899814 8422693 16845386 18195961 20649349 27366959 36391922 41298698 54733918 58958851 117917702 191568713 262541723 383137426 525083446 1837792061 2435659351 2764062859 3675584122 4871318702 5528125718 17049615457 19348440013 34099230914 38696880026 246001594451 492003188902 1722011161157 3444022322314