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144442011300 = 223521797291979
BaseRepresentation
bin1000011010000101101…
…0100010111010100100
3111210211102010102201020
42012201122202322210
54331304123330200
6150204501331140
713302256560366
oct2064132427244
9453742112636
10144442011300
1156291827a64
1223bb1406ab0
131080bc44152
146dc3560d36
153b55ba7ea0
hex21a16a2ea4

144442011300 has 144 divisors (see below), whose sum is σ = 447065760960. Its totient is φ = 35878256640.

The previous prime is 144442011277. The next prime is 144442011313. The reversal of 144442011300 is 3110244441.

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, 348711 + ... + 640689.

It is an arithmetic number, because the mean of its divisors is an integer number (3104623340).

Almost surely, 2144442011300 is an apocalyptic number.

144442011300 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 144442011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223532880480).

144442011300 is an abundant number, since it is smaller than the sum of its proper divisors (302623749660).

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

144442011300 is a wasteful number, since it uses less digits than its factorization.

144442011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292110 (or 292103 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 144442011300 its reverse (3110244441), we get a palindrome (147552255741).

The spelling of 144442011300 in words is "one hundred forty-four billion, four hundred forty-two million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 97 100 102 150 170 194 204 255 291 300 340 388 425 485 510 582 850 970 1020 1164 1275 1455 1649 1700 1940 2425 2550 2910 3298 4850 4947 5100 5820 6596 7275 8245 9700 9894 14550 16490 19788 24735 29100 32980 41225 49470 82450 98940 123675 164900 247350 291979 494700 583958 875937 1167916 1459895 1751874 2919790 3503748 4379685 4963643 5839580 7299475 8759370 9927286 14598950 14890929 17518740 19854572 21898425 24818215 28321963 29197900 29781858 43796850 49636430 56643926 59563716 74454645 84965889 87593700 99272860 113287852 124091075 141609815 148909290 169931778 248182150 283219630 297818580 339863556 372273225 424829445 481473371 496364300 566439260 708049075 744546450 849658890 962946742 1416098150 1444420113 1489092900 1699317780 1925893484 2124147225 2407366855 2832196300 2888840226 4248294450 4814733710 5777680452 7222100565 8496588900 9629467420 12036834275 14444201130 24073668550 28888402260 36110502825 48147337100 72221005650 144442011300