Base | Representation |
---|---|
bin | 1011110000100000111… |
… | …0001100100110000000 |
3 | 201022101211021110020022 |
4 | 2330020032030212000 |
5 | 11302144324332430 |
6 | 232444223033012 |
7 | 20410532405651 |
oct | 2741016144600 |
9 | 638354243208 |
10 | 202001402240 |
11 | 78739586340 |
12 | 33195a3b768 |
13 | 16082b67861 |
14 | 9ac3c23528 |
15 | 53c40124e5 |
hex | 2f0838c980 |
202001402240 has 128 divisors (see below), whose sum is σ = 527044216320. Its totient is φ = 73422469120.
The previous prime is 202001402189. The next prime is 202001402243. The reversal of 202001402240 is 42204100202.
It is a happy number.
202001402240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-3 number, since 3×2020014022403 (a number of 35 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (202001402243) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20601179 + ... + 20610981.
It is an arithmetic number, because the mean of its divisors is an integer number (4117532940).
Almost surely, 2202001402240 is an apocalyptic number.
202001402240 is a gapful number since it is divisible by the number (20) 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 202001402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263522108160).
202001402240 is an abundant number, since it is smaller than the sum of its proper divisors (325042814080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202001402240 is a wasteful number, since it uses less digits than its factorization.
202001402240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12760 (or 12748 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 17.
Adding to 202001402240 its reverse (42204100202), we get a palindrome (244205502442).
The spelling of 202001402240 in words is "two hundred two billion, one million, four hundred two thousand, two hundred forty".
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