Base | Representation |
---|---|
bin | 100000010100110100… |
… | …110111110001001001 |
3 | 10022120221101010121001 |
4 | 200110310313301021 |
5 | 1032041020030401 |
6 | 23540053215001 |
7 | 2336060562400 |
oct | 402464676111 |
9 | 108527333531 |
10 | 34709142601 |
11 | 137a1451621 |
12 | 6888031461 |
13 | 3371ba7403 |
14 | 1973a36637 |
15 | d8227a601 |
hex | 814d37c49 |
34709142601 has 48 divisors (see below), whose sum is σ = 43098931200. Its totient is φ = 27790856352.
The previous prime is 34709142593. The next prime is 34709142617. The reversal of 34709142601 is 10624190743.
34709142601 is a nontrivial binomial coefficient, being equal to C(263474, 2).
It is not a de Polignac number, because 34709142601 - 23 = 34709142593 is a prime.
It is not an unprimeable number, because it can be changed into a prime (34709142691) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27137080 + ... + 27138358.
It is an arithmetic number, because the mean of its divisors is an integer number (897894400).
Almost surely, 234709142601 is an apocalyptic number.
34709142601 is the 263473-rd triangular number and also the 131737-th hexagonal number.
34709142601 is the 87825-th centered nonagonal number.
It is an amenable number.
34709142601 is a deficient number, since it is larger than the sum of its proper divisors (8389788599).
34709142601 is a wasteful number, since it uses less digits than its factorization.
With its predecessor (34709142600) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1691).
34709142601 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1698 (or 1691 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 37.
It can be divided in two parts, 34709 and 142601, that added together give a triangular number (177310 = T595).
The spelling of 34709142601 in words is "thirty-four billion, seven hundred nine million, one hundred forty-two thousand, six hundred one".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.065 sec. • engine limits •