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12423412234242 = 23471297156833
BaseRepresentation
bin1011010011001000110100…
…0100101011100000000010
31121222122222221220012110000
42310302031010223200002
53112021122012443432
642231123051420430
72421363510431142
oct264621504534002
947878887805400
1012423412234242
113a5a815368319
1214878a7754716
136c16a4623169
1430d4212da922
15168264e0757c
hexb4c8d12b802

12423412234242 has 120 divisors (see below), whose sum is σ = 28526514616908. Its totient is φ = 4040694927360.

The previous prime is 12423412234231. The next prime is 12423412234249. The reversal of 12423412234242 is 24243221432421.

12423412234242 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 3 + 4 + 1 + 223 + 424 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11999427632361 + 423984601881 = 3464019^2 + 651141^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12423412234197 and 12423412234206.

It is not an unprimeable number, because it can be changed into a prime (12423412234249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 79135858 + ... + 79292690.

Almost surely, 212423412234242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12423412234242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14263257308454).

12423412234242 is an abundant number, since it is smaller than the sum of its proper divisors (16103102382666).

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

12423412234242 is an equidigital number, since it uses as much as digits as its factorization.

12423412234242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157086 (or 157006 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 12423412234242 its reverse (24243221432421), we get a palindrome (36666633666663).

The spelling of 12423412234242 in words is "twelve trillion, four hundred twenty-three billion, four hundred twelve million, two hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 71 81 97 142 162 194 213 291 426 582 639 873 1278 1746 1917 2619 3834 5041 5238 5751 6887 7857 10082 11502 13774 15123 15714 20661 30246 41322 45369 61983 90738 123966 136107 156833 185949 272214 313666 371898 408321 470499 488977 557847 816642 940998 977954 1115694 1411497 1466931 2822994 2933862 4234491 4400793 8468982 8801586 11135143 12703473 13202379 15212801 22270286 25406946 26404758 30425602 33405429 39607137 45638403 66810858 79214274 91276806 100216287 136915209 200432574 273830418 300648861 410745627 601297722 790595153 821491254 901946583 1080108871 1232236881 1581190306 1803893166 2160217742 2371785459 2464473762 3240326613 4743570918 6480653226 7115356377 9720979839 14230712754 19441959678 21346069131 29162939517 42692138262 58325879034 64038207393 76687729841 87488818551 128076414786 153375459682 174977637102 230063189523 460126379046 690189568569 1380379137138 2070568705707 4141137411414 6211706117121 12423412234242