Base | Representation |
---|---|
bin | 110010010011100000… |
… | …100111010110100100 |
3 | 12011102100122020021100 |
4 | 302103200213112210 |
5 | 1341110142024400 |
6 | 40451444120100 |
7 | 3621345615312 |
oct | 622340472644 |
9 | 164370566240 |
10 | 54014408100 |
11 | 209a87a82a4 |
12 | a575396030 |
13 | 512a667533 |
14 | 28859550b2 |
15 | 1612014100 |
hex | c938275a4 |
54014408100 has 243 divisors, whose sum is σ = 173492151651. Its totient is φ = 14056156800.
The previous prime is 54014408093. The next prime is 54014408101. The reversal of 54014408100 is 180441045.
It is a happy number.
The square root of 54014408100 is 232410.
It is a perfect power (a square), and thus also a powerful number.
54014408100 is a `hidden beast` number, since 540 + 1 + 4 + 40 + 81 + 0 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 24880014756 + 29134393344 = 157734^2 + 170688^2 .
It is a super-2 number, since 2×540144081002 (a number of 22 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (54014408101) by changing a digit.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 425310237 + ... + 425310363.
Almost surely, 254014408100 is an apocalyptic number.
54014408100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
54014408100 is the 232410-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 54014408100
54014408100 is an abundant number, since it is smaller than the sum of its proper divisors (119477743551).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54014408100 is a wasteful number, since it uses less digits than its factorization.
54014408100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 396 (or 198 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 27.
Adding to 54014408100 its reverse (180441045), we get a palindrome (54194849145).
The spelling of 54014408100 in words is "fifty-four billion, fourteen million, four hundred eight thousand, one hundred".
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