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122434244442 = 234291011631583
BaseRepresentation
bin111001000000110100…
…1100100111101011010
3102201000122122001010000
41302001221210331122
54001221131310232
6132125010433430
711563014622656
oct1620151447532
9381018561100
10122434244442
1147a18a36a94
121b88ab92876
13b712602bb3
145cd675ba66
1532b8a4327c
hex1c81a64f5a

122434244442 has 160 divisors (see below), whose sum is σ = 288553985280. Its totient is φ = 38750140800.

The previous prime is 122434244431. The next prime is 122434244447. The reversal of 122434244442 is 244442434221.

122434244442 is a `hidden beast` number, since 1 + 224 + 3 + 424 + 4 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122434244397 and 122434244406.

It is not an unprimeable number, because it can be changed into a prime (122434244447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77342383 + ... + 77343965.

It is an arithmetic number, because the mean of its divisors is an integer number (1803462408).

Almost surely, 2122434244442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122434244442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144276992640).

122434244442 is an abundant number, since it is smaller than the sum of its proper divisors (166119740838).

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

122434244442 is a wasteful number, since it uses less digits than its factorization.

122434244442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1881 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 122434244442 its reverse (244442434221), we get a palindrome (366876678663).

The spelling of 122434244442 in words is "one hundred twenty-two billion, four hundred thirty-four million, two hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 101 162 163 174 202 261 303 326 489 522 606 783 909 978 1467 1566 1583 1818 2349 2727 2929 2934 3166 4401 4698 4727 4749 5454 5858 8181 8787 8802 9454 9498 13203 14181 14247 16362 16463 17574 26361 26406 28362 28494 32926 42543 42741 45907 49389 52722 79083 85086 85482 91814 98778 127629 128223 137721 148167 158166 159883 237249 255258 256446 258029 275442 296334 319766 382887 413163 444501 474498 477427 479649 516058 765774 774087 826326 889002 954854 959298 1239489 1333503 1432281 1438947 1548174 2322261 2478978 2667006 2864562 2877894 3718467 4296843 4316841 4636607 4644522 6966783 7436934 7482841 8593686 8633682 9273214 12890529 12950523 13909821 13933566 14965682 20900349 22448523 25781058 25901046 26060929 27819642 38671587 41729463 41800698 44897046 52121858 67345569 77343174 78182787 83458926 125188389 134691138 156365574 202036707 234548361 250376778 375565167 404073414 469096722 606110121 703645083 751130334 755766941 1212220242 1407290166 1511533882 2110935249 2267300823 4221870498 4534601646 6801902469 13603804938 20405707407 40811414814 61217122221 122434244442