Base | Representation |
---|---|
bin | 1000011000100010011… |
… | …0001011010110100000 |
3 | 111202202101122002002202 |
4 | 2012020212023112200 |
5 | 4324431030130422 |
6 | 150055305032332 |
7 | 13256042441150 |
oct | 2061046132640 |
9 | 452671562082 |
10 | 144025630112 |
11 | 56098793681 |
12 | 23ab5a856a8 |
13 | 107738b8650 |
14 | 6d84134760 |
15 | 3b2e35ab92 |
hex | 218898b5a0 |
144025630112 has 96 divisors (see below), whose sum is σ = 349129694592. Its totient is φ = 56953580544.
The previous prime is 144025630097. The next prime is 144025630129. The reversal of 144025630112 is 211036520441.
It is a super-2 number, since 2×1440256301122 (a number of 23 digits) contains 22 as substring.
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, 8136023 + ... + 8153705.
It is an arithmetic number, because the mean of its divisors is an integer number (3636767652).
Almost surely, 2144025630112 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 144025630112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174564847296).
144025630112 is an abundant number, since it is smaller than the sum of its proper divisors (205104064480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144025630112 is a wasteful number, since it uses less digits than its factorization.
144025630112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20510 (or 20502 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 29.
The spelling of 144025630112 in words is "one hundred forty-four billion, twenty-five million, six hundred thirty thousand, one hundred twelve".
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