Base | Representation |
---|---|
bin | 100000010000100110000010… |
… | …100100100110000000000000 |
3 | 200121100101111222111200100000 |
4 | 200100212002210212000000 |
5 | 122044011311400212210 |
6 | 1221425440553200000 |
7 | 41612223161114661 |
oct | 4020460244460000 |
9 | 617311458450300 |
10 | 141877845319680 |
11 | 41230068a31778 |
12 | 13ab4a63400000 |
13 | 612203c566032 |
14 | 2706cd25d3368 |
15 | 116087d299ac0 |
hex | 810982926000 |
141877845319680 has 1344 divisors, whose sum is σ = 541495365884928. Its totient is φ = 35512029020160.
The previous prime is 141877845319673. The next prime is 141877845319709. The reversal of 141877845319680 is 86913548778141.
141877845319680 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 7 + 7 + 8 + 4 + 531 + 9 + 6 + 80 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 141877845319599 and 141877845319608.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78342265975 + ... + 78342267785.
It is an arithmetic number, because the mean of its divisors is an integer number (402898337712).
Almost surely, 2141877845319680 is an apocalyptic number.
141877845319680 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 141877845319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270747682942464).
141877845319680 is an abundant number, since it is smaller than the sum of its proper divisors (399617520565248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141877845319680 is an equidigital number, since it uses as much as digits as its factorization.
141877845319680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2337 (or 2301 counting only the distinct ones).
The product of its (nonzero) digits is 325140480, while the sum is 72.
The spelling of 141877845319680 in words is "one hundred forty-one trillion, eight hundred seventy-seven billion, eight hundred forty-five million, three hundred nineteen thousand, six hundred eighty".
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