Search a number
-
+
13323232314342 = 23217531498328181
BaseRepresentation
bin1100000111100000111010…
…0001111000001111100110
31202011200120222010101222100
43001320032201320033212
53221241434433024332
644200335230512530
72543400055055646
oct301701641701746
952150528111870
1013323232314342
11427739533a685
1215b216b665746
137584b5a35992
14340bc284a526
1518187b74467c
hexc1e0e8783e6

13323232314342 has 48 divisors (see below), whose sum is σ = 28886423293728. Its totient is φ = 4438090293120.

The previous prime is 13323232314307. The next prime is 13323232314367. The reversal of 13323232314342 is 24341323232331.

13323232314342 is a `hidden beast` number, since 1 + 3 + 323 + 2 + 323 + 1 + 4 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13323232314297 and 13323232314306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472759492 + ... + 472787672.

It is an arithmetic number, because the mean of its divisors is an integer number (601800485286).

Almost surely, 213323232314342 is an apocalyptic number.

13323232314342 is an abundant number, since it is smaller than the sum of its proper divisors (15563190979386).

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

13323232314342 is a wasteful number, since it uses less digits than its factorization.

13323232314342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44925 (or 44922 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

Adding to 13323232314342 its reverse (24341323232331), we get a palindrome (37664555546673).

The spelling of 13323232314342 in words is "thirteen trillion, three hundred twenty-three billion, two hundred thirty-two million, three hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 1753 3506 5259 10518 14983 15777 28181 29966 31554 44949 56362 84543 89898 134847 169086 253629 269694 507258 26265199 49401293 52530398 78795597 98802586 148203879 157591194 236386791 296407758 422235923 444611637 472773582 844471846 889223274 1266707769 2533415538 3800123307 7600246614 740179573019 1480359146038 2220538719057 4441077438114 6661616157171 13323232314342