Base | Representation |
---|---|
bin | 11101110100010110111100… |
… | …101100100010100110100000 |
3 | 122012022222212210200211122012 |
4 | 131310112330230202212200 |
5 | 114142110042433211230 |
6 | 1142525310053132052 |
7 | 36423440125526333 |
oct | 3564267454424640 |
9 | 565288783624565 |
10 | 131141402241440 |
11 | 38870835796a88 |
12 | 128600ba32a028 |
13 | 5823772a97776 |
14 | 24553c616a61a |
15 | 102644ebba395 |
hex | 7745bcb229a0 |
131141402241440 has 48 divisors (see below), whose sum is σ = 319815806768640. Its totient is φ = 50764413768960.
The previous prime is 131141402241359. The next prime is 131141402241481. The reversal of 131141402241440 is 44142204141131.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a junction number, because it is equal to n+sod(n) for n = 131141402241397 and 131141402241406.
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 7 ways as a sum of consecutive naturals, for example, 13219894460 + ... + 13219904379.
It is an arithmetic number, because the mean of its divisors is an integer number (6662829307680).
Almost surely, 2131141402241440 is an apocalyptic number.
131141402241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
131141402241440 is an abundant number, since it is smaller than the sum of its proper divisors (188674404527200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131141402241440 is a wasteful number, since it uses less digits than its factorization.
131141402241440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 26439798885 (or 26439798877 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 32.
Adding to 131141402241440 its reverse (44142204141131), we get a palindrome (175283606382571).
The spelling of 131141402241440 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred two million, two hundred forty-one thousand, four hundred forty".
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