Base | Representation |
---|---|
bin | 1111101100001010111011… |
… | …10000010110010101010000 |
3 | 11112011110101112202121102111 |
4 | 13312011131300112111100 |
5 | 14010244214040303430 |
6 | 201214251414355104 |
7 | 10160522424414046 |
oct | 766053560262520 |
9 | 145143345677374 |
10 | 34503045244240 |
11 | aaa27286031a1 |
12 | 3a52b0805ba94 |
13 | 163381424b801 |
14 | 873d56132396 |
15 | 3ec783de6c2a |
hex | 1f615dc16550 |
34503045244240 has 80 divisors (see below), whose sum is σ = 84952276076880. Its totient is φ = 12987256504320.
The previous prime is 34503045244231. The next prime is 34503045244307. The reversal of 34503045244240 is 4244254030543.
It can be written as a sum of positive squares in 8 ways, for example, as 276520325904 + 34226524918336 = 525852^2 + 5850344^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-4 number, since 4×345030452442404 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 34503045244193 and 34503045244202.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6252196 + ... + 10396924.
It is an arithmetic number, because the mean of its divisors is an integer number (1061903450961).
Almost surely, 234503045244240 is an apocalyptic number.
It is an amenable number.
34503045244240 is an abundant number, since it is smaller than the sum of its proper divisors (50449230832640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34503045244240 is a wasteful number, since it uses less digits than its factorization.
34503045244240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4150880 (or 4150874 counting only the distinct ones).
The product of its (nonzero) digits is 921600, while the sum is 40.
Adding to 34503045244240 its reverse (4244254030543), we get a palindrome (38747299274783).
The spelling of 34503045244240 in words is "thirty-four trillion, five hundred three billion, forty-five million, two hundred forty-four thousand, two hundred forty".
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