Base | Representation |
---|---|
bin | 100010101101101110100110… |
… | …1011100100111100110010000 |
3 | 1111001011100212211202200121221 |
4 | 1011123131031130213212100 |
5 | 310010341343302210401 |
6 | 3001232434422254424 |
7 | 121213645124526100 |
oct | 10533351534474620 |
9 | 1431140784680557 |
10 | 305351999256976 |
11 | 89327068085721 |
12 | 2a2b731a887414 |
13 | 1014c754311799 |
14 | 5559189395200 |
15 | 2547d8d89b7a1 |
hex | 115b74d727990 |
305351999256976 has 135 divisors (see below), whose sum is σ = 692965972028673. Its totient is φ = 129967032182400.
The previous prime is 305351999256973. The next prime is 305351999256977. The reversal of 305351999256976 is 679652999153503.
The square root of 305351999256976 is 17474324.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 225917132691600 + 79434866565376 = 15030540^2 + 8912624^2 .
It is a junction number, because it is equal to n+sod(n) for n = 305351999256896 and 305351999256905.
It is not an unprimeable number, because it can be changed into a prime (305351999256973) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73881439806 + ... + 73881443938.
Almost surely, 2305351999256976 is an apocalyptic number.
305351999256976 is the 17474324-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 305351999256976
305351999256976 is an abundant number, since it is smaller than the sum of its proper divisors (387613972771697).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
305351999256976 is an frugal number, since it uses more digits than its factorization.
305351999256976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8590 (or 4293 counting only the distinct ones).
The product of its (nonzero) digits is 3720087000, while the sum is 79.
The spelling of 305351999256976 in words is "three hundred five trillion, three hundred fifty-one billion, nine hundred ninety-nine million, two hundred fifty-six thousand, nine hundred seventy-six".
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