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42426111162424 = 231119330718114493
BaseRepresentation
bin10011010010110000110010…
…10010001111100000111000
312120012220012122002201101011
421221120121102033200320
521030102133424144144
6230122141510203304
711636120404500553
oct1151303122174070
9176186178081334
1042426111162424
11125778a3783030
12491256a953534
131a899c3c62022
14a69612cbb69a
154d8901b03a34
hex26961948f838

42426111162424 has 128 divisors (see below), whose sum is σ = 87582273166080. Its totient is φ = 19107372441600.

The previous prime is 42426111162371. The next prime is 42426111162427.

42426111162424 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42426111162427) 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, 9442711122 + ... + 9442715614.

It is an arithmetic number, because the mean of its divisors is an integer number (684236509110).

Almost surely, 242426111162424 is an apocalyptic number.

42426111162424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42426111162424 is an abundant number, since it is smaller than the sum of its proper divisors (45156162003656).

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

42426111162424 is a wasteful number, since it uses less digits than its factorization.

42426111162424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821 (or 6817 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The spelling of 42426111162424 in words is "forty-two trillion, four hundred twenty-six billion, one hundred eleven million, one hundred sixty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 193 307 386 614 772 1228 1544 1811 2123 2456 3377 3622 4246 4493 6754 7244 8492 8986 13508 14488 16984 17972 19921 27016 35944 39842 49423 59251 79684 98846 118502 159368 197692 237004 349523 395384 474008 555977 651761 699046 867149 1111954 1303522 1379351 1398092 1734298 2223908 2607044 2758702 2796184 3468596 3844753 4447816 5214088 5517404 6115747 6937192 7689506 8136823 9538639 11034808 12231494 15172861 15379012 16273646 19077278 24462988 30345722 30758024 32547292 38154556 48925976 60691444 65094584 76309112 89505053 107303561 121382888 179010106 214607122 266214743 358020212 429214244 532429486 716040424 858428488 1064858972 1180339171 1570406839 2129717944 2360678342 2498004661 2928362173 3140813678 4721356684 4996009322 5856724346 6281627356 9442713368 9992018644 11713448692 12563254712 17274475229 19984037288 23426897384 27478051271 34548950458 54956102542 69097900916 109912205084 138195801832 219824410168 482114899573 964229799146 1928459598292 3856919196584 5303263895303 10606527790606 21213055581212 42426111162424