Base | Representation |
---|---|
bin | 100000110100001001101101… |
… | …110111110000101011000100 |
3 | 200220222222120221022210102200 |
4 | 200310021231313300223010 |
5 | 122404030043102222040 |
6 | 1230540150012434500 |
7 | 42253605130533411 |
oct | 4064115567605304 |
9 | 626888527283380 |
10 | 144321334414020 |
11 | 41a92374911135 |
12 | 1422a536a78a30 |
13 | 626b59c30974a |
14 | 278d292d73108 |
15 | 11a41e0b0d630 |
hex | 83426ddf0ac4 |
144321334414020 has 144 divisors (see below), whose sum is σ = 447126315487488. Its totient is φ = 37663706833920.
The previous prime is 144321334414007. The next prime is 144321334414141. The reversal of 144321334414020 is 20414433123441.
144321334414020 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 213 + 3 + 4 + 414 + 0 + 20 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101720700 + ... + 103129740.
It is an arithmetic number, because the mean of its divisors is an integer number (3105043857552).
Almost surely, 2144321334414020 is an apocalyptic number.
144321334414020 is a gapful number since it is divisible by the number (10) 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 144321334414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223563157743744).
144321334414020 is an abundant number, since it is smaller than the sum of its proper divisors (302804981073468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144321334414020 is a wasteful number, since it uses less digits than its factorization.
144321334414020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1421210 (or 1421205 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 36.
Adding to 144321334414020 its reverse (20414433123441), we get a palindrome (164735767537461).
The spelling of 144321334414020 in words is "one hundred forty-four trillion, three hundred twenty-one billion, three hundred thirty-four million, four hundred fourteen thousand, twenty".
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