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144303113000 = 2353473798101
BaseRepresentation
bin1000011001100100100…
…0101100001100101000
3111210110201202200001202
42012121020230030220
54331013044104000
6150143020303332
713265652136154
oct2063110541450
9453421680052
10144303113000
1156220388682
1223b729a1b48
13107b92313c7
146dacd26064
153b488bcdd5
hex219922c328

144303113000 has 128 divisors (see below), whose sum is σ = 345806323200. Its totient is φ = 56337120000.

The previous prime is 144303112979. The next prime is 144303113033. The reversal of 144303113000 is 311303441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17808950 + ... + 17817050.

It is an arithmetic number, because the mean of its divisors is an integer number (2701611900).

Almost surely, 2144303113000 is an apocalyptic number.

144303113000 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 144303113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172903161600).

144303113000 is an abundant number, since it is smaller than the sum of its proper divisors (201503210200).

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

144303113000 is a wasteful number, since it uses less digits than its factorization.

144303113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8548 (or 8534 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 144303113000 its reverse (311303441), we get a palindrome (144614416441).

The spelling of 144303113000 in words is "one hundred forty-four billion, three hundred three million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 379 470 500 758 940 1000 1175 1516 1880 1895 2350 3032 3790 4700 5875 7580 8101 9400 9475 11750 15160 16202 17813 18950 23500 32404 35626 37900 40505 47000 47375 64808 71252 75800 81010 89065 94750 142504 162020 178130 189500 202525 324040 356260 379000 380747 405050 445325 712520 761494 810100 890650 1012625 1522988 1620200 1781300 1903735 2025250 2226625 3045976 3070279 3562600 3807470 4050500 4453250 6140558 7614940 8101000 8906500 9518675 12281116 15229880 15351395 17813000 19037350 24562232 30702790 38074700 47593375 61405580 76149400 76756975 95186750 122811160 144303113 153513950 190373500 288606226 307027900 380747000 383784875 577212452 614055800 721515565 767569750 1154424904 1443031130 1535139500 2886062260 3070279000 3607577825 5772124520 7215155650 14430311300 18037889125 28860622600 36075778250 72151556500 144303113000