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144043020 = 2232511233163
BaseRepresentation
bin10001001010111…
…10110000001100
3101001001010212200
420211132300030
5243333334040
622143201500
73366226332
oct1045366014
9331033780
10144043020
1174343720
12402a6290
1323ac4674
14151b7b52
15c9a4630
hex895ec0c

144043020 has 144 divisors (see below), whose sum is σ = 497532672. Its totient is φ = 33390720.

The previous prime is 144043007. The next prime is 144043037. The reversal of 144043020 is 20340441.

It is a super-2 number, since 2×1440430202 = 41496783221440800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144042984 and 144043002.

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, 43959 + ... + 47121.

It is an arithmetic number, because the mean of its divisors is an integer number (3455088).

Almost surely, 2144043020 is an apocalyptic number.

144043020 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 144043020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248766336).

144043020 is an abundant number, since it is smaller than the sum of its proper divisors (353489652).

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

144043020 is a wasteful number, since it uses less digits than its factorization.

144043020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 144043020 is about 12001.7923661427. The cubic root of 144043020 is about 524.2004700775.

Adding to 144043020 its reverse (20340441), we get a palindrome (164383461).

It can be divided in two parts, 14404 and 3020, that added together give a square (17424 = 1322).

The spelling of 144043020 in words is "one hundred forty-four million, forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3163 3795 4140 4554 5060 6326 7590 9108 9489 11385 12652 15180 15815 18978 22770 28467 31630 34793 37956 45540 47445 56934 63260 69586 72749 94890 104379 113868 139172 142335 145498 173965 189780 208758 218247 284670 290996 313137 347930 363745 417516 436494 521895 569340 626274 654741 695860 727490 800239 872988 1043790 1091235 1252548 1309482 1454980 1565685 1600478 2087580 2182470 2400717 2618964 3131370 3200956 3273705 4001195 4364940 4801434 6262740 6547410 7202151 8002390 9602868 12003585 13094820 14404302 16004780 24007170 28808604 36010755 48014340 72021510 144043020