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144321443420 = 225721116780167
BaseRepresentation
bin1000011001101000111…
…0100111011001011100
3111210112000020221200012
42012122032213121130
54331032242142140
6150144513222352
713266264012500
oct2063216473134
9453460227605
10144321443420
115622a768590
1223b78b619b8
13107bcc7b8cb
146db1538300
153b4a2de265
hex219a3a765c

144321443420 has 144 divisors (see below), whose sum is σ = 386915139072. Its totient is φ = 44713388160.

The previous prime is 144321443419. The next prime is 144321443467. The reversal of 144321443420 is 24344123441.

144321443420 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-2 number, since 2×1443214434202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1760177 + ... + 1840343.

It is an arithmetic number, because the mean of its divisors is an integer number (2686910688).

Almost surely, 2144321443420 is an apocalyptic number.

144321443420 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 144321443420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193457569536).

144321443420 is an abundant number, since it is smaller than the sum of its proper divisors (242593695652).

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

144321443420 is a wasteful number, since it uses less digits than its factorization.

144321443420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80368 (or 80359 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144321443420 its reverse (24344123441), we get a palindrome (168665566861).

The spelling of 144321443420 in words is "one hundred forty-four billion, three hundred twenty-one million, four hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 167 196 220 245 308 334 385 490 539 668 770 835 980 1078 1169 1540 1670 1837 2156 2338 2695 3340 3674 4676 5390 5845 7348 8183 9185 10780 11690 12859 16366 18370 23380 25718 32732 36740 40915 51436 64295 80167 81830 90013 128590 160334 163660 180026 257180 320668 360052 400835 450065 561169 801670 881837 900130 1122338 1603340 1763674 1800260 2244676 2805845 3527348 3928183 4409185 5611690 6172859 7856366 8818370 11223380 12345718 13387889 15712732 17636740 19640915 24691436 26775778 30864295 39281830 43210013 53551556 61728590 66939445 78563660 86420026 93715223 123457180 133878890 147266779 172840052 187430446 216050065 267757780 294533558 374860892 432100130 468576115 589067116 656006561 736333895 864200260 937152230 1030867453 1312013122 1472667790 1874304460 2061734906 2624026244 2945335580 3280032805 4123469812 5154337265 6560065610 7216072171 10308674530 13120131220 14432144342 20617349060 28864288684 36080360855 72160721710 144321443420