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144044310133020 = 223511239489084989
BaseRepresentation
bin100000110000000111101101…
…111011111111100100011100
3200220000111112122021020000010
4200300013231323333210130
5122340010221343224040
61230205013105003220
742224600200151403
oct4060075573774434
9626014478236003
10144044310133020
114199593792a660
12141a4904023510
13624b42151814b
14277dad33dc63a
15119bdca564e80
hex8301edeff91c

144044310133020 has 96 divisors (see below), whose sum is σ = 459119888156160. Its totient is φ = 33401579157760.

The previous prime is 144044310133007. The next prime is 144044310133049. The reversal of 144044310133020 is 20331013440441.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4744527315 + ... + 4744557674.

It is an arithmetic number, because the mean of its divisors is an integer number (4782498834960).

Almost surely, 2144044310133020 is an apocalyptic number.

144044310133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144044310133020 is an abundant number, since it is smaller than the sum of its proper divisors (315075578023140).

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

144044310133020 is a wasteful number, since it uses less digits than its factorization.

144044310133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9489085035 (or 9489085033 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 144044310133020 its reverse (20331013440441), we get a palindrome (164375323573461).

The spelling of 144044310133020 in words is "one hundred forty-four trillion, forty-four billion, three hundred ten million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 9489084989 18978169978 28467254967 37956339956 47445424945 56934509934 94890849890 104379934879 113869019868 142336274835 189781699780 208759869758 218248954747 284672549670 313139804637 417519739516 436497909494 521899674395 569345099340 626279609274 654746864241 872995818988 1043799348790 1091244773735 1252559218548 1309493728482 1565699023185 2087598697580 2182489547470 2400738502217 2618987456964 3131398046370 3273734321205 4364979094940 4801477004434 6262796092740 6547468642410 7202215506651 9602954008868 12003692511085 13094937284820 14404431013302 24007385022170 28808862026604 36011077533255 48014770044340 72022155066510 144044310133020