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144442220111220 = 223522367589159721
BaseRepresentation
bin100000110101111010010011…
…001110000110010101110100
3200221102112121200002111002010
4200311322103032012111310
5122413020131322024340
61231111501224444220
742265414603154403
oct4065722316062564
9627375550074063
10144442220111220
1142029668719709
1214249a53319670
136279ac5b502a5
14279507db9163a
1511a7418717b80
hex835e93386574

144442220111220 has 96 divisors (see below), whose sum is σ = 406260394767360. Its totient is φ = 38344391838720.

The previous prime is 144442220111209. The next prime is 144442220111279. The reversal of 144442220111220 is 22111022244441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 904260960 + ... + 904420680.

It is an arithmetic number, because the mean of its divisors is an integer number (4231879112160).

Almost surely, 2144442220111220 is an apocalyptic number.

144442220111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144442220111220 is an abundant number, since it is smaller than the sum of its proper divisors (261818174656140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144442220111220 is a wasteful number, since it uses less digits than its factorization.

144442220111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227545 (or 227543 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 144442220111220 its reverse (22111022244441), we get a palindrome (166553242355661).

The spelling of 144442220111220 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred twenty million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 223 446 669 892 1115 1338 2230 2676 3345 4460 6690 13380 67589 135178 159721 202767 270356 319442 337945 405534 479163 638884 675890 798605 811068 958326 1013835 1351780 1597210 1916652 2027670 2395815 3194420 4055340 4791630 9583260 15072347 30144694 35617783 45217041 60289388 71235566 75361735 90434082 106853349 142471132 150723470 178088915 180868164 213706698 226085205 301446940 356177830 427413396 452170410 534266745 712355660 904340820 1068533490 2137066980 10795382669 21590765338 32386148007 43181530676 53976913345 64772296014 107953826690 129544592028 161930740035 215907653380 323861480070 647722960140 2407370335187 4814740670374 7222111005561 9629481340748 12036851675935 14444222011122 24073703351870 28888444022244 36110555027805 48147406703740 72221110055610 144442220111220