Search a number
-
+
12044331440240 = 24511171108372643
BaseRepresentation
bin1010111101000100101000…
…0110001101100001110000
31120122102112011111121021112
42233101022012031201300
53034313242322041430
641341031154412452
72352113522023661
oct257211206154160
946572464447245
1012044331440240
113923a77115020
121426332291128
13694a10c4c028
142d8d3d539368
1515d479cec195
hexaf44a18d870

12044331440240 has 160 divisors (see below), whose sum is σ = 32349156592896. Its totient is φ = 4121695457280.

The previous prime is 12044331440221. The next prime is 12044331440263. The reversal of 12044331440240 is 4204413344021.

It is a junction number, because it is equal to n+sod(n) for n = 12044331440197 and 12044331440206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165765359 + ... + 165838001.

Almost surely, 212044331440240 is an apocalyptic number.

12044331440240 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 12044331440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174578296448).

12044331440240 is an abundant number, since it is smaller than the sum of its proper divisors (20304825152656).

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

12044331440240 is a wasteful number, since it uses less digits than its factorization.

12044331440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83767 (or 83761 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 12044331440240 its reverse (4204413344021), we get a palindrome (16248744784261).

The spelling of 12044331440240 in words is "twelve trillion, forty-four billion, three hundred thirty-one million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 11083 14960 22166 44332 55415 72643 88664 110830 121913 145286 177328 188411 221660 243826 290572 363215 376822 443320 487652 581144 609565 726430 753644 799073 886640 942055 975304 1162288 1219130 1234931 1452860 1507288 1598146 1884110 1950608 2072521 2438260 2469862 2905720 3014576 3196292 3768220 3995365 4145042 4876520 4939724 5811440 6174655 6392584 7536440 7990730 8290084 9753040 9879448 10362605 12349310 12785168 13584241 15072880 15981460 16580168 19758896 20725210 24698620 27168482 31962920 33160336 41450420 49397240 54336964 63925840 67921205 82900840 98794480 108673928 135842410 165801680 217347856 271684820 543369640 805102369 1086739280 1610204738 3220409476 4025511845 6440818952 8051023690 8856126059 12881637904 13686740273 16102047380 17712252118 27373480546 32204094760 35424504236 44280630295 54746961092 64408189520 68433701365 70849008472 88561260590 109493922184 136867402730 141698016944 150554143003 177122521180 218987844368 273734805460 301108286006 354245042360 547469610920 602216572012 708490084720 752770715015 1094939221840 1204433144024 1505541430030 2408866288048 3011082860060 6022165720120 12044331440240