Base | Representation |
---|---|
bin | 100000110001011000011101… |
… | …001111000010110111101000 |
3 | 200220022210022102012021201010 |
4 | 200301120131033002313220 |
5 | 122342420243232033334 |
6 | 1230312511350023520 |
7 | 42234056421323511 |
oct | 4061303517026750 |
9 | 626283272167633 |
10 | 144131003002344 |
11 | 41a196847864a6 |
12 | 141b9679347ba0 |
13 | 625665912c567 |
14 | 2783d98dc5a08 |
15 | 119e2a13d10e9 |
hex | 83161d3c2de8 |
144131003002344 has 128 divisors (see below), whose sum is σ = 388136653332480. Its totient is φ = 44470806969600.
The previous prime is 144131003002333. The next prime is 144131003002373. The reversal of 144131003002344 is 443200300131441.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532852254 + ... + 533122674.
It is an arithmetic number, because the mean of its divisors is an integer number (3032317604160).
Almost surely, 2144131003002344 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 144131003002344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194068326666240).
144131003002344 is an abundant number, since it is smaller than the sum of its proper divisors (244005650330136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144131003002344 is a wasteful number, since it uses less digits than its factorization.
144131003002344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 301631 (or 301627 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 30.
Adding to 144131003002344 its reverse (443200300131441), we get a palindrome (587331303133785).
The spelling of 144131003002344 in words is "one hundred forty-four trillion, one hundred thirty-one billion, three million, two thousand, three hundred forty-four".
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