Base | Representation |
---|---|
bin | 100010000011011011001… |
… | …111001110011001000000 |
3 | 22021201022102001000010001 |
4 | 202003123033032121000 |
5 | 301320101421113212 |
6 | 4551013510245344 |
7 | 331032601201156 |
oct | 42033317163100 |
9 | 8251272030101 |
10 | 2340140410432 |
11 | 8224a2288600 |
12 | 319650356854 |
13 | 13c89c567616 |
14 | 81398aad3d6 |
15 | 40d1465b657 |
hex | 220db3ce640 |
2340140410432 has 84 divisors (see below), whose sum is σ = 5105102058000. Its totient is φ = 1063522620160.
The previous prime is 2340140410379. The next prime is 2340140410469.
2340140410432 is nontrivially palindromic in base 10.
It is a self number, because there is not a number n which added to its sum of digits gives 2340140410432.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53775819 + ... + 53819317.
It is an arithmetic number, because the mean of its divisors is an integer number (60775024500).
Almost surely, 22340140410432 is an apocalyptic number.
2340140410432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2340140410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552551029000).
2340140410432 is an abundant number, since it is smaller than the sum of its proper divisors (2764961647568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2340140410432 is a wasteful number, since it uses less digits than its factorization.
2340140410432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 50480 (or 50459 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 28.
It can be divided in two parts, 2340140 and 410432, that added together give a palindrome (2750572).
The spelling of 2340140410432 in words is "two trillion, three hundred forty billion, one hundred forty million, four hundred ten thousand, four hundred thirty-two".
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