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12133142441442 = 2321161278497179
BaseRepresentation
bin1011000010001111011110…
…1001010010110111100010
31120221220202120001220200100
42300203313221102313202
53042242133431111232
641445515542403230
72361406403051511
oct260436751226742
946856676056610
1012133142441442
113958700663780
12143b598a30516
136a01c562c309
142dd36656c678
15160926ab2c7c
hexb08f7a52de2

12133142441442 has 24 divisors (see below), whose sum is σ = 28678336680240. Its totient is φ = 3676709830680.

The previous prime is 12133142441383. The next prime is 12133142441443. The reversal of 12133142441442 is 24414424133121.

12133142441442 is a `hidden beast` number, since 1 + 2 + 1 + 33 + 142 + 4 + 41 + 442 = 666.

It is a super-3 number, since 3×121331424414423 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12133142441397 and 12133142441406.

It is not an unprimeable number, because it can be changed into a prime (12133142441443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30639248392 + ... + 30639248787.

It is an arithmetic number, because the mean of its divisors is an integer number (1194930695010).

Almost surely, 212133142441442 is an apocalyptic number.

12133142441442 is an abundant number, since it is smaller than the sum of its proper divisors (16545194238798).

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

12133142441442 is a wasteful number, since it uses less digits than its factorization.

12133142441442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61278497198 (or 61278497195 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 12133142441442 its reverse (24414424133121), we get a palindrome (36547566574563).

The spelling of 12133142441442 in words is "twelve trillion, one hundred thirty-three billion, one hundred forty-two million, four hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 61278497179 122556994358 183835491537 367670983074 551506474611 674063468969 1103012949222 1348126937938 2022190406907 4044380813814 6066571220721 12133142441442