Base | Representation |
---|---|
bin | 100011011000010001011… |
… | …101011100100011011110 |
3 | 22121102110121022021111100 |
4 | 203120101131130203132 |
5 | 304313142032440332 |
6 | 5100522005333530 |
7 | 340436334414342 |
oct | 43302135344336 |
9 | 8542417267440 |
10 | 2431244421342 |
11 | 8580a3103400 |
12 | 333236a072a6 |
13 | 14835b013099 |
14 | 8595c471622 |
15 | 433978b267c |
hex | 2361175c8de |
2431244421342 has 72 divisors (see below), whose sum is σ = 6130707343488. Its totient is φ = 693403032960.
The previous prime is 2431244421329. The next prime is 2431244421503.
2431244421342 is a `hidden beast` number, since 2 + 4 + 31 + 244 + 42 + 1 + 342 = 666.
2431244421342 is nontrivially palindromic in base 10.
2431244421342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×24312444213423 (a number of 38 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2431244421297 and 2431244421306.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32794558 + ... + 32868609.
It is an arithmetic number, because the mean of its divisors is an integer number (85148713104).
Almost surely, 22431244421342 is an apocalyptic number.
2431244421342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
2431244421342 is an abundant number, since it is smaller than the sum of its proper divisors (3699462922146).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2431244421342 is a wasteful number, since it uses less digits than its factorization.
2431244421342 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 65663214 (or 65663200 counting only the distinct ones).
The product of its digits is 147456, while the sum is 36.
The spelling of 2431244421342 in words is "two trillion, four hundred thirty-one billion, two hundred forty-four million, four hundred twenty-one thousand, three hundred forty-two".
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