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8142844040716 = 22711113246794837
BaseRepresentation
bin111011001111110011101…
…0100111001011000001100
31001211110002210122112000211
41312133213110321120030
52031403021033300331
625152434303332204
71500205160221360
oct166374724713014
931743083575024
108142844040716
11265a3a71a5250
12ab6179bb1064
13470b36763188
142021898b72a0
15e1c326c08b1
hex767e753960c

8142844040716 has 96 divisors (see below), whose sum is σ = 17930882575872. Its totient is φ = 3143153341440.

The previous prime is 8142844040713. The next prime is 8142844040743. The reversal of 8142844040716 is 6170404482418.

It is a super-3 number, since 3×81428440407163 (a number of 40 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 8142844040716.

It is not an unprimeable number, because it can be changed into a prime (8142844040713) 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, 85814050 + ... + 85908886.

It is an arithmetic number, because the mean of its divisors is an integer number (186780026832).

Almost surely, 28142844040716 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 8142844040716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8965441287936).

8142844040716 is an abundant number, since it is smaller than the sum of its proper divisors (9788038535156).

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

8142844040716 is a wasteful number, since it uses less digits than its factorization.

8142844040716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97439 (or 97437 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 49.

It can be divided in two parts, 81428 and 44040716, that added together give a palindrome (44122144).

The spelling of 8142844040716 in words is "eight trillion, one hundred forty-two billion, eight hundred forty-four million, forty thousand, seven hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 77 113 154 226 308 452 791 1243 1582 2467 2486 3164 4934 4972 8701 9868 17269 17402 27137 34538 34804 54274 69076 94837 108548 189674 189959 278771 379348 379918 557542 663859 759836 1043207 1115084 1327718 1951397 2086414 2655436 3066481 3902794 4172828 6132962 7302449 7805588 10716581 12265924 14604898 21433162 21465367 29209796 42866324 42930734 75016067 85861468 117882391 150032134 233962879 235764782 300064268 467925758 471529564 825176737 935851516 1637740153 1650353474 2573591669 3275480306 3300706948 5147183338 6550960612 10294366676 18015141683 26437805327 36030283366 52875610654 72060566732 105751221308 185064637289 290815858597 370129274578 581631717194 740258549156 1163263434388 2035711010179 4071422020358 8142844040716