Base | Representation |
---|---|
bin | 110000001110110000000110… |
… | …1001000011000110110001000 |
3 | 2001122002221100202021122020110 |
4 | 1200131200031020120312020 |
5 | 421101221313420314144 |
6 | 4102141042445354320 |
7 | 155234215311521445 |
oct | 14035401510306610 |
9 | 2048087322248213 |
10 | 424239909932424 |
11 | 1131a3154277423 |
12 | 3b6b86535689a0 |
13 | 15294862154cc1 |
14 | 76a946d52a9cc |
15 | 340a6c10390b9 |
hex | 181d80d218d88 |
424239909932424 has 128 divisors (see below), whose sum is σ = 1097464260372480. Its totient is φ = 136589149382400.
The previous prime is 424239909932347. The next prime is 424239909932431.
424239909932424 is nontrivially palindromic in base 10.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18815107 + ... + 34676909.
It is an arithmetic number, because the mean of its divisors is an integer number (8573939534160).
Almost surely, 2424239909932424 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 424239909932424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548732130186240).
424239909932424 is an abundant number, since it is smaller than the sum of its proper divisors (673224350440056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424239909932424 is a wasteful number, since it uses less digits than its factorization.
424239909932424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15862171 (or 15862167 counting only the distinct ones).
The product of its (nonzero) digits is 241864704, while the sum is 66.
The spelling of 424239909932424 in words is "four hundred twenty-four trillion, two hundred thirty-nine billion, nine hundred nine million, nine hundred thirty-two thousand, four hundred twenty-four".
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