Base | Representation |
---|---|
bin | 111111111111111111… |
… | …1111111111111111111 |
3 | 111010202100122020101001 |
4 | 1333333333333333333 |
5 | 4222433333002341 |
6 | 143045533431131 |
7 | 12633602554231 |
oct | 1777777777777 |
9 | 433670566331 |
10 | 137438953471 |
11 | 53318784a66 |
12 | 2277803b4a7 |
13 | cc6410a451 |
14 | 691b44a251 |
15 | 3895e87d31 |
hex | 1fffffffff |
137438953471 has 4 divisors (see below), whose sum is σ = 138055271872. Its totient is φ = 136822635072.
The previous prime is 137438953447. The next prime is 137438953481. The reversal of 137438953471 is 174359834731.
It is a happy number.
137438953471 is nontrivially palindromic in base 2.
It is a Cunningham number, because it is equal to 237-1.
It is a semiprime because it is the product of two primes.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-137438953471 is a prime.
It is a super-3 number, since 3×1374389534713 (a number of 34 digits) contains 333 as substring.
It is a Duffinian number.
137438953471 is a nontrivial repdigit in base 2.
It is a plaindrome in base 2, base 4, base 8 and base 16.
It is a nialpdrome in base 2.
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (137438953441) by changing a digit.
Being equal to 32×232-1, it is a Woodall number.
It is a nontrivial repunit in base 2.
It is a pernicious number, because its binary representation contains a prime number (37) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 308158866 + ... + 308159311.
It is an arithmetic number, because the mean of its divisors is an integer number (34513817968).
It is a Poulet number, since it divides 2137438953470-1.
Almost surely, 2137438953471 is an apocalyptic number.
137438953471 is a deficient number, since it is larger than the sum of its proper divisors (616318401).
137438953471 is an equidigital number, since it uses as much as digits as its factorization.
137438953471 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 616318400.
The product of its digits is 7620480, while the sum is 55.
The spelling of 137438953471 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, nine hundred fifty-three thousand, four hundred seventy-one".
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