Search a number
-
+
144425415200 = 25521137443567
BaseRepresentation
bin1000011010000001101…
…1001111001000100000
3111210210020220021010212
42012200123033020200
54331240401241300
6150203105513252
713301665526303
oct2064033171040
9453706807125
10144425415200
1156283422080
1223ba7942828
1310808683181
146dc1280b3a
153b544ca935
hex21a06cf220

144425415200 has 144 divisors (see below), whose sum is σ = 395027466624. Its totient is φ = 51098803200.

The previous prime is 144425415119. The next prime is 144425415259. The reversal of 144425415200 is 2514524441.

144425415200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103817 + ... + 547383.

It is an arithmetic number, because the mean of its divisors is an integer number (2743246296).

Almost surely, 2144425415200 is an apocalyptic number.

144425415200 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 144425415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197513733312).

144425415200 is an abundant number, since it is smaller than the sum of its proper divisors (250602051424).

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

144425415200 is a wasteful number, since it uses less digits than its factorization.

144425415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443635 (or 443622 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 144425415200 its reverse (2514524441), we get a palindrome (146939939641).

The spelling of 144425415200 in words is "one hundred forty-four billion, four hundred twenty-five million, four hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 37 40 44 50 55 74 80 88 100 110 148 160 176 185 200 220 275 296 352 370 400 407 440 550 592 740 800 814 880 925 1100 1184 1480 1628 1760 1850 2035 2200 2960 3256 3700 4070 4400 5920 6512 7400 8140 8800 10175 13024 14800 16280 20350 29600 32560 40700 65120 81400 162800 325600 443567 887134 1774268 2217835 3548536 4435670 4879237 7097072 8871340 9758474 11089175 14194144 16411979 17742680 19516948 22178350 24396185 32823958 35485360 39033896 44356700 48792370 65647916 70970720 78067792 82059895 88713400 97584740 121980925 131295832 156135584 164119790 177426800 180531769 195169480 243961850 262591664 328239580 354853600 361063538 390338960 410299475 487923700 525183328 656479160 722127076 780677920 820598950 902658845 975847400 1312958320 1444254152 1641197900 1805317690 1951694800 2625916640 2888508304 3282395800 3610635380 3903389600 4513294225 5777016608 6564791600 7221270760 9026588450 13129583200 14442541520 18053176900 28885083040 36106353800 72212707600 144425415200