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1232142385136 = 2413341854923
BaseRepresentation
bin10001111011100001011…
…010001011111111110000
311100210101010021110021012
4101323201122023333300
5130141411422311021
62342012143250052
7155006431316465
oct21734132137760
94323333243235
101232142385136
11435604288853
1217a969ba9928
138c26278b000
14438c92d366c
15220b695035b
hex11ee168bff0

1232142385136 has 80 divisors (see below), whose sum is σ = 2649204294240. Its totient is φ = 554810181120.

The previous prime is 1232142385087. The next prime is 1232142385147. The reversal of 1232142385136 is 6315832412321.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 1232142385093 and 1232142385102.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1013771 + ... + 1868693.

It is an arithmetic number, because the mean of its divisors is an integer number (33115053678).

Almost surely, 21232142385136 is an apocalyptic number.

1232142385136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1232142385136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324602147120).

1232142385136 is an abundant number, since it is smaller than the sum of its proper divisors (1417061909104).

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

1232142385136 is an equidigital number, since it uses as much as digits as its factorization.

1232142385136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855011 (or 854979 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

Adding to 1232142385136 its reverse (6315832412321), we get a palindrome (7547974797457).

The spelling of 1232142385136 in words is "one trillion, two hundred thirty-two billion, one hundred forty-two million, three hundred eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 169 208 328 338 533 656 676 1066 1352 2132 2197 2704 4264 4394 6929 8528 8788 13858 17576 27716 35152 55432 90077 110864 180154 360308 720616 854923 1441232 1709846 3419692 6839384 11113999 13678768 22227998 35051843 44455996 70103686 88911992 140207372 144481987 177823984 280414744 288963974 455673959 560829488 577927948 911347918 1155855896 1822695836 1878265831 2311711792 3645391672 3756531662 5923761467 7290783344 7513063324 11847522934 15026126648 23695045868 30052253296 47390091736 77008899071 94780183472 154017798142 308035596284 616071192568 1232142385136