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144200043330 = 23571799140759
BaseRepresentation
bin1000011001001011111…
…1100000101101000010
3111210012112211012001120
42012102333200231002
54330310202341310
6150124455213110
713263261100410
oct2062277405502
9453175735046
10144200043330
115617818a932
1223b44377196
13107a0a84635
146d9d3762b0
153b3e80db70
hex2192fe0b42

144200043330 has 128 divisors (see below), whose sum is σ = 419218882560. Its totient is φ = 30989122560.

The previous prime is 144200043311. The next prime is 144200043343. The reversal of 144200043330 is 33340002441.

It is a self number, because there is not a number n which added to its sum of digits gives 144200043330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3517491 + ... + 3558249.

It is an arithmetic number, because the mean of its divisors is an integer number (3275147520).

Almost surely, 2144200043330 is an apocalyptic number.

144200043330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144200043330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209609441280).

144200043330 is an abundant number, since it is smaller than the sum of its proper divisors (275018839230).

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

144200043330 is a wasteful number, since it uses less digits than its factorization.

144200043330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41784.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 144200043330 its reverse (33340002441), we get a palindrome (177540045771).

The spelling of 144200043330 in words is "one hundred forty-four billion, two hundred million, forty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 991 1190 1785 1982 2973 3570 4955 5946 6937 9910 13874 14865 16847 20811 29730 33694 34685 40759 41622 50541 69370 81518 84235 101082 104055 117929 122277 168470 203795 208110 235858 244554 252705 285313 353787 407590 505410 570626 589645 611385 692903 707574 855939 1179290 1222770 1385806 1426565 1711878 1768935 2078709 2853130 3464515 3537870 4157418 4279695 4850321 6929030 8559390 9700642 10393545 14550963 20787090 24251605 29101926 40392169 48503210 72754815 80784338 121176507 145509630 201960845 242353014 282745183 403921690 565490366 605882535 686666873 848235549 1211765070 1373333746 1413725915 1696471098 2060000619 2827451830 3433334365 4120001238 4241177745 4806668111 6866668730 8482355490 9613336222 10300003095 14420004333 20600006190 24033340555 28840008666 48066681110 72100021665 144200043330