Base | Representation |
---|---|
bin | 11000100100101100001011… |
… | …11011000100000110100100 |
3 | 21002022220112111102110010000 |
4 | 30102112011323010012210 |
5 | 24040321221440412004 |
6 | 310532205544101300 |
7 | 14245026641560161 |
oct | 1422260573040644 |
9 | 232286474373100 |
10 | 54037230404004 |
11 | 162440738a7291 |
12 | 608893b164830 |
13 | 241c8c585a863 |
14 | d4b5b7367068 |
15 | 63a9743c0c39 |
hex | 312585ec41a4 |
54037230404004 has 45 divisors (see below), whose sum is σ = 141264340203217. Its totient is φ = 18012366028656.
The previous prime is 54037230403997. The next prime is 54037230404029. The reversal of 54037230404004 is 40040403273045.
The square root of 54037230404004 is 7351002.
It is a perfect power (a square), and thus also a powerful number.
54037230404004 is a `hidden beast` number, since 540 + 3 + 7 + 2 + 30 + 40 + 40 + 0 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 361679554404 + 53675550849600 = 601398^2 + 7326360^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 54037230404004.
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 14 ways as a sum of consecutive naturals, for example, 132113842 + ... + 132522230.
Almost surely, 254037230404004 is an apocalyptic number.
54037230404004 is a gapful number since it is divisible by the number (54) formed by its first and last digit.
54037230404004 is the 7351002-nd square number.
It is an amenable number.
54037230404004 is an abundant number, since it is smaller than the sum of its proper divisors (87227109799213).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54037230404004 is an frugal number, since it uses more digits than its factorization.
54037230404004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 816794 (or 408394 counting only the distinct ones).
The product of its (nonzero) digits is 161280, while the sum is 36.
54037230404004 divided by its sum of digits (36) gives a square (1501034177889 = 12251672).
Adding to 54037230404004 its reverse (40040403273045), we get a palindrome (94077633677049).
The spelling of 54037230404004 in words is "fifty-four trillion, thirty-seven billion, two hundred thirty million, four hundred four thousand, four".
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