Base | Representation |
---|---|
bin | 111111111111111111111… |
… | …111111111111111111111 |
3 | 120120110010102102112221100 |
4 | 333333333333333333333 |
5 | 1034024144401323403 |
6 | 13204233520104143 |
7 | 632514456346200 |
oct | 77777777777777 |
9 | 16513112375840 |
10 | 4398046511103 |
11 | 1446223664933 |
12 | 5b0454a65053 |
13 | 25b9707c5a8b |
14 | 112c1bcb35a7 |
15 | 7960b12c2a3 |
hex | 3ffffffffff |
4398046511103 has 144 divisors (see below), whose sum is σ = 7645340651520. Its totient is φ = 2427720325632.
The previous prime is 4398046511093. The next prime is 4398046511119. The reversal of 4398046511103 is 3011156408934.
4398046511103 is a `hidden beast` number, since 4 + 3 + 9 + 80 + 46 + 511 + 10 + 3 = 666.
4398046511103 is nontrivially palindromic in base 2, base 4 and base 8.
It is a Cunningham number, because it is equal to 242-1.
It is not a de Polignac number, because 4398046511103 - 24 = 4398046511087 is a prime.
It is a super-2 number, since 2×43980465111032 (a number of 26 digits) contains 22 as substring.
4398046511103 is a nontrivial repdigit in base 2, base 4 and base 8.
It is a plaindrome in base 2, base 4, base 8 and base 16.
It is a nialpdrome in base 2, base 4 and base 8.
It is a zygodrome in base 2, base 4 and base 8.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4398046510103) by changing a digit.
It is a nontrivial repunit in base 2.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 811594728 + ... + 811600146.
Almost surely, 24398046511103 is an apocalyptic number.
4398046511103 is a gapful number since it is divisible by the number (43) formed by its first and last digit.
4398046511103 is a deficient number, since it is larger than the sum of its proper divisors (3247294140417).
4398046511103 is a wasteful number, since it uses less digits than its factorization.
4398046511103 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5946 (or 5936 counting only the distinct ones).
The product of its (nonzero) digits is 311040, while the sum is 45.
The spelling of 4398046511103 in words is "four trillion, three hundred ninety-eight billion, forty-six million, five hundred eleven thousand, one hundred three".
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