Base | Representation |
---|---|
bin | 11101111000101101001011… |
… | …000010100110001011001100 |
3 | 122020101112222120101110000220 |
4 | 131320231023002212023030 |
5 | 114212003403120200330 |
6 | 1143314433531151340 |
7 | 36454144164304041 |
oct | 3570551302461314 |
9 | 566345876343026 |
10 | 131440143131340 |
11 | 389764a718421a |
12 | 128a9b91ba5550 |
13 | 58459a1aa6cc4 |
14 | 2465a45d931c8 |
15 | 102e0d6a64710 |
hex | 778b4b0a62cc |
131440143131340 has 192 divisors, whose sum is σ = 380667425832960. Its totient is φ = 33851979406080.
The previous prime is 131440143131333. The next prime is 131440143131347. The reversal of 131440143131340 is 43131341044131.
131440143131340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (131440143131333) and next prime (131440143131347).
It is a super-2 number, since 2×1314401431313402 (a number of 29 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (131440143131347) 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 63 ways as a sum of consecutive naturals, for example, 1894488771 + ... + 1894558149.
It is an arithmetic number, because the mean of its divisors is an integer number (1982642842880).
Almost surely, 2131440143131340 is an apocalyptic number.
131440143131340 is a gapful number since it is divisible by the number (10) 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 131440143131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190333712916480).
131440143131340 is an abundant number, since it is smaller than the sum of its proper divisors (249227282701620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131440143131340 is a wasteful number, since it uses less digits than its factorization.
131440143131340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71452 (or 71450 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 33.
Adding to 131440143131340 its reverse (43131341044131), we get a palindrome (174571484175471).
The spelling of 131440143131340 in words is "one hundred thirty-one trillion, four hundred forty billion, one hundred forty-three million, one hundred thirty-one thousand, three hundred forty".
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