Base | Representation |
---|---|
bin | 101111101100001011… |
… | …0101101100111100100 |
3 | 100210100102011100010000 |
4 | 1133120112231213210 |
5 | 3134221001033414 |
6 | 115014241101300 |
7 | 10253626215012 |
oct | 1373026554744 |
9 | 323312140100 |
10 | 102414080484 |
11 | 3a485095541 |
12 | 17a22327830 |
13 | 98719b8331 |
14 | 4d579078b2 |
15 | 29e6142b09 |
hex | 17d85ad9e4 |
102414080484 has 135 divisors (see below), whose sum is σ = 280239740473. Its totient is φ = 32611521888.
The previous prime is 102414080449. The next prime is 102414080501. The reversal of 102414080484 is 484080414201.
The square root of 102414080484 is 320022.
It is a perfect power (a square), and thus also a powerful number.
102414080484 is a `hidden beast` number, since 1 + 0 + 241 + 408 + 0 + 4 + 8 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 6517332900 + 95896747584 = 80730^2 + 309672^2 .
It is a super-3 number, since 3×1024140804843 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 132488722 + ... + 132489494.
Almost surely, 2102414080484 is an apocalyptic number.
102414080484 is the 320022-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 102414080484
102414080484 is an abundant number, since it is smaller than the sum of its proper divisors (177825659989).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102414080484 is an frugal number, since it uses more digits than its factorization.
102414080484 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1608 (or 801 counting only the distinct ones).
The product of its (nonzero) digits is 32768, while the sum is 36.
Multiplying 102414080484 by its sum of digits (36), we get a square (3686906897424 = 19201322).
102414080484 divided by its sum of digits (36) gives a square (2844835569 = 533372).
Adding to 102414080484 its reverse (484080414201), we get a palindrome (586494494685).
The spelling of 102414080484 in words is "one hundred two billion, four hundred fourteen million, eighty thousand, four hundred eighty-four".
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