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3422112443420 = 22511223101608737
BaseRepresentation
bin110001110011000101110…
…010111110110000011100
3110010011001220022011021212
4301303011302332300130
5422031441241142140
611140032522043552
7502145064553136
oct61630562766034
913104056264255
103422112443420
1110aa345295100
1247328a6495b8
131ba91c39c798
14bb8b9b4a056
155e03c57c765
hex31cc5cbec1c

3422112443420 has 144 divisors (see below), whose sum is σ = 8324204825664. Its totient is φ = 1178512896000.

The previous prime is 3422112443357. The next prime is 3422112443429. The reversal of 3422112443420 is 243442112243.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422112443429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5317292 + ... + 5926028.

It is an arithmetic number, because the mean of its divisors is an integer number (57806977956).

Almost surely, 23422112443420 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 3422112443420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162102412832).

3422112443420 is an abundant number, since it is smaller than the sum of its proper divisors (4902092382244).

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

3422112443420 is a wasteful number, since it uses less digits than its factorization.

3422112443420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608892 (or 608879 counting only the distinct ones).

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

Adding to 3422112443420 its reverse (243442112243), we get a palindrome (3665554555663).

The spelling of 3422112443420 in words is "three trillion, four hundred twenty-two billion, one hundred twelve million, four hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 101 110 115 121 202 220 230 242 253 404 460 484 505 506 605 1010 1012 1111 1210 1265 2020 2222 2323 2420 2530 2783 4444 4646 5060 5555 5566 9292 11110 11132 11615 12221 13915 22220 23230 24442 25553 27830 46460 48884 51106 55660 61105 102212 122210 127765 244420 255530 281083 511060 562166 608737 1124332 1217474 1405415 2434948 2810830 3043685 5621660 6087370 6696107 12174740 13392214 14000951 26784428 28001902 33480535 56003804 61482437 66961070 70004755 73657177 122964874 133922140 140009510 147314354 154010461 245929748 280019020 294628708 307412185 308020922 368285885 614824370 616041844 676306807 736571770 770052305 1229648740 1352613614 1414096051 1473143540 1540104610 1694115071 2705227228 2828192102 3080209220 3381534035 3388230142 5656384204 6763068070 6776460284 7070480255 7439374877 8470575355 13526136140 14140960510 14878749754 15555056561 16941150710 28281921020 29757499508 31110113122 33882301420 37196874385 62220226244 74393748770 77775282805 148787497540 155550565610 171105622171 311101131220 342211244342 684422488684 855528110855 1711056221710 3422112443420