Search a number
-
+
12352066131444 = 2231379179911099
BaseRepresentation
bin1011001110111111000010…
…0000111001010111110100
31121201211211201121122200020
42303233300200321113310
53104334012412201234
642134243313045140
72413256466524424
oct263576040712764
947654751548606
1012352066131444
113a3253334a2a6
121475ab5b567b0
136b7a4434b2a0
14309bb3a02484
1516648b54b549
hexb3bf08395f4

12352066131444 has 24 divisors (see below), whose sum is σ = 31038525151200. Its totient is φ = 3800635732704.

The previous prime is 12352066131407. The next prime is 12352066131481. The reversal of 12352066131444 is 44413166025321.

It is an interprime number because it is at equal distance from previous prime (12352066131407) and next prime (12352066131481).

It is a junction number, because it is equal to n+sod(n) for n = 12352066131396 and 12352066131405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39589955394 + ... + 39589955705.

It is an arithmetic number, because the mean of its divisors is an integer number (1293271881300).

Almost surely, 212352066131444 is an apocalyptic number.

It is an amenable number.

12352066131444 is an abundant number, since it is smaller than the sum of its proper divisors (18686459019756).

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

12352066131444 is a wasteful number, since it uses less digits than its factorization.

12352066131444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79179911119 (or 79179911117 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 12352066131444 in words is "twelve trillion, three hundred fifty-two billion, sixty-six million, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 79179911099 158359822198 237539733297 316719644396 475079466594 950158933188 1029338844287 2058677688574 3088016532861 4117355377148 6176033065722 12352066131444