Base | Representation |
---|---|
bin | 100001111010010010100101… |
… | …100010001011000111000000 |
3 | 201120001202120011101012202100 |
4 | 201322102211202023013000 |
5 | 124022012210211212334 |
6 | 1245110310434150400 |
7 | 43262045334523062 |
oct | 4172224542130700 |
9 | 646052504335670 |
10 | 149141221585344 |
11 | 4358048953267a |
12 | 14888699422400 |
13 | 652ac59273731 |
14 | 28b868b94d732 |
15 | 123978ac8ac99 |
hex | 87a4a588b1c0 |
149141221585344 has 336 divisors, whose sum is σ = 476940691918080. Its totient is φ = 44281655009280.
The previous prime is 149141221585297. The next prime is 149141221585379. The reversal of 149141221585344 is 443585122141941.
It is a happy number.
149141221585344 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 4 + 1 + 2 + 21 + 585 + 34 + 4 = 666.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182477439 + ... + 183292929.
Almost surely, 2149141221585344 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 149141221585344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238470345959040).
149141221585344 is an abundant number, since it is smaller than the sum of its proper divisors (327799470332736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149141221585344 is a wasteful number, since it uses less digits than its factorization.
149141221585344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 816528 (or 816515 counting only the distinct ones).
The product of its digits is 5529600, while the sum is 54.
The spelling of 149141221585344 in words is "one hundred forty-nine trillion, one hundred forty-one billion, two hundred twenty-one million, five hundred eighty-five thousand, three hundred forty-four".
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