Base | Representation |
---|---|
bin | 100011100101000111101… |
… | …111011010010001100000 |
3 | 22122202002001010101122110 |
4 | 203211013233122101200 |
5 | 310024420220032034 |
6 | 5111122540435320 |
7 | 341435241051465 |
oct | 43450757322140 |
9 | 8582061111573 |
10 | 2445040002144 |
11 | 862a32380453 |
12 | 335a46b48b40 |
13 | 14974917b34c |
14 | 864aa73566c |
15 | 43903ab6de9 |
hex | 23947bda460 |
2445040002144 has 96 divisors (see below), whose sum is σ = 6507664450560. Its totient is φ = 803722816512.
The previous prime is 2445040002089. The next prime is 2445040002151. The reversal of 2445040002144 is 4412000405442.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×24450400021442 (a number of 26 digits) contains 22 as substring.
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, 1845924 + ... + 2880540.
It is an arithmetic number, because the mean of its divisors is an integer number (67788171360).
Almost surely, 22445040002144 is an apocalyptic number.
2445040002144 is a gapful number since it is divisible by the number (24) 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 2445040002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253832225280).
2445040002144 is an abundant number, since it is smaller than the sum of its proper divisors (4062624448416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2445040002144 is a wasteful number, since it uses less digits than its factorization.
2445040002144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1034972 (or 1034964 counting only the distinct ones).
The product of its (nonzero) digits is 20480, while the sum is 30.
Adding to 2445040002144 its reverse (4412000405442), we get a palindrome (6857040407586).
The spelling of 2445040002144 in words is "two trillion, four hundred forty-five billion, forty million, two thousand, one hundred forty-four".
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