Base | Representation |
---|---|
bin | 1001001000000101001000… |
… | …1110111001111001101000 |
3 | 1022112021121012122011000000 |
4 | 2102001102032321321220 |
5 | 2303400444322223334 |
6 | 33201430030343000 |
7 | 2053651235153364 |
oct | 222012216717150 |
9 | 38467535564000 |
10 | 10034423242344 |
11 | 3219636361536 |
12 | 11608a405aa60 |
13 | 57a31ba30787 |
14 | 269950bc22a4 |
15 | 126042047299 |
hex | 920523b9e68 |
10034423242344 has 56 divisors (see below), whose sum is σ = 28208911034610. Its totient is φ = 3344807745504.
The previous prime is 10034423242307. The next prime is 10034423242351. The reversal of 10034423242344 is 44324232443001.
10034423242344 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 44 + 232 + 42 + 344 = 666.
It can be written as a sum of positive squares in only one way, i.e., 7349314965444 + 2685108276900 = 2710962^2 + 1638630^2 .
It is a super-2 number, since 2×100344232423442 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10034423242299 and 10034423242308.
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 13 ways as a sum of consecutive naturals, for example, 860284227 + ... + 860295890.
Almost surely, 210034423242344 is an apocalyptic number.
It is an amenable number.
10034423242344 is an abundant number, since it is smaller than the sum of its proper divisors (18174487792266).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10034423242344 is an equidigital number, since it uses as much as digits as its factorization.
10034423242344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1720580141 (or 1720580122 counting only the distinct ones).
The product of its (nonzero) digits is 221184, while the sum is 36.
Adding to 10034423242344 its reverse (44324232443001), we get a palindrome (54358655685345).
The spelling of 10034423242344 in words is "ten trillion, thirty-four billion, four hundred twenty-three million, two hundred forty-two thousand, three hundred forty-four".
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