Base | Representation |
---|---|
bin | 111001110011011011101000… |
… | …111000011010010011010000 |
3 | 1020100010111001110111120100211 |
4 | 321303123220320122103100 |
5 | 231310142221431232034 |
6 | 2300404235502253504 |
7 | 104356002314205565 |
oct | 7163335070322320 |
9 | 1210114043446324 |
10 | 254223021352144 |
11 | 74004417a77869 |
12 | 2461a15b587294 |
13 | abb11884235c0 |
14 | 46ac661cd886c |
15 | 1e5cdce259d64 |
hex | e736e8e1a4d0 |
254223021352144 has 20 divisors (see below), whose sum is σ = 530446111860196. Its totient is φ = 117333702162432.
The previous prime is 254223021352141. The next prime is 254223021352159. The reversal of 254223021352144 is 441253120322452.
254223021352144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 107219812090000 + 147003209262144 = 10354700^2 + 12124488^2 .
It is a super-3 number, since 3×2542230213521443 (a number of 44 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 254223021352097 and 254223021352106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (254223021352141) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 611113031889 + ... + 611113032304.
Almost surely, 2254223021352144 is an apocalyptic number.
It is an amenable number.
254223021352144 is an abundant number, since it is smaller than the sum of its proper divisors (276223090508052).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
254223021352144 is a wasteful number, since it uses less digits than its factorization.
254223021352144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1222226064214 (or 1222226064208 counting only the distinct ones).
The product of its (nonzero) digits is 460800, while the sum is 40.
Adding to 254223021352144 its reverse (441253120322452), we get a palindrome (695476141674596).
The spelling of 254223021352144 in words is "two hundred fifty-four trillion, two hundred twenty-three billion, twenty-one million, three hundred fifty-two thousand, one hundred forty-four".
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