Base | Representation |
---|---|
bin | 100011011010111101100… |
… | …000111010000111111100 |
3 | 22121200220202221011210000 |
4 | 203122331200322013330 |
5 | 304340100014310134 |
6 | 5102120243114300 |
7 | 340601015130006 |
oct | 43327540720774 |
9 | 8550822834700 |
10 | 2434131010044 |
11 | 8593445521a8 |
12 | 333901672990 |
13 | 1486cb069636 |
14 | 85b53995376 |
15 | 434b6002e99 |
hex | 236bd83a1fc |
2434131010044 has 120 divisors (see below), whose sum is σ = 6516592887728. Its totient is φ = 791861495040.
The previous prime is 2434131010027. The next prime is 2434131010049. The reversal of 2434131010044 is 4400101314342.
2434131010044 is a `hidden beast` number, since 2 + 4 + 341 + 310 + 1 + 0 + 0 + 4 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2434131010049) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17163264 + ... + 17304504.
Almost surely, 22434131010044 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 2434131010044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258296443864).
2434131010044 is an abundant number, since it is smaller than the sum of its proper divisors (4082461877684).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2434131010044 is a wasteful number, since it uses less digits than its factorization.
2434131010044 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 142537 (or 142526 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 2434131010044 its reverse (4400101314342), we get a palindrome (6834232324386).
The spelling of 2434131010044 in words is "two trillion, four hundred thirty-four billion, one hundred thirty-one million, ten thousand, forty-four".
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