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144144223320 = 233517431643231
BaseRepresentation
bin1000011000111110101…
…0100100110001011000
3111210001122210020101210
42012033222210301120
54330201410121240
6150115142543120
713262012453016
oct2061752446130
9453048706353
10144144223320
1156149724499
1223b29737aa0
131079233c146
146d95ba58b6
153b39984780
hex218faa4c58

144144223320 has 128 divisors (see below), whose sum is σ = 468518307840. Its totient is φ = 35336017920.

The previous prime is 144144223309. The next prime is 144144223361. The reversal of 144144223320 is 23322441441.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733896 + ... + 909335.

It is an arithmetic number, because the mean of its divisors is an integer number (3660299280).

Almost surely, 2144144223320 is an apocalyptic number.

144144223320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144144223320 is an abundant number, since it is smaller than the sum of its proper divisors (324374084520).

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

144144223320 is a wasteful number, since it uses less digits than its factorization.

144144223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643305 (or 1643301 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 144144223320 its reverse (23322441441), we get a palindrome (167466664761).

The spelling of 144144223320 in words is "one hundred forty-four billion, one hundred forty-four million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 43 51 60 68 85 86 102 120 129 136 170 172 204 215 255 258 340 344 408 430 510 516 645 680 731 860 1020 1032 1290 1462 1720 2040 2193 2580 2924 3655 4386 5160 5848 7310 8772 10965 14620 17544 21930 29240 43860 87720 1643231 3286462 4929693 6572924 8216155 9859386 13145848 16432310 19718772 24648465 27934927 32864620 39437544 49296930 55869854 65729240 70658933 83804781 98593860 111739708 139674635 141317866 167609562 197187720 211976799 223479416 279349270 282635732 335219124 353294665 419023905 423953598 558698540 565271464 670438248 706589330 838047810 847907196 1059883995 1117397080 1201201861 1413178660 1676095620 1695814392 2119767990 2402403722 2826357320 3352191240 3603605583 4239535980 4804807444 6006009305 7207211166 8479071960 9609614888 12012018610 14414422332 18018027915 24024037220 28828844664 36036055830 48048074440 72072111660 144144223320