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13144320230240 = 255533080350321
BaseRepresentation
bin1011111101000110011010…
…0010011100001101100000
31201112120210021110211210002
42333101212202130031200
53210324031434331430
643542230051555132
72524434336332213
oct277214642341540
951476707424702
1013144320230240
114208525109851
12158355a2bbaa8
13744672600a64
1433628d32577a
1517bda97d6845
hexbf46689c360

13144320230240 has 96 divisors (see below), whose sum is σ = 31641026741856. Its totient is φ = 5158255697920.

The previous prime is 13144320230213. The next prime is 13144320230263. The reversal of 13144320230240 is 4203202344131.

It is a super-2 number, since 2×131443202302402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261184280 + ... + 261234600.

It is an arithmetic number, because the mean of its divisors is an integer number (329594028561).

Almost surely, 213144320230240 is an apocalyptic number.

13144320230240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144320230240 is an abundant number, since it is smaller than the sum of its proper divisors (18496706511616).

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

13144320230240 is a wasteful number, since it uses less digits than its factorization.

13144320230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81192 (or 81184 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 13144320230240 its reverse (4203202344131), we get a palindrome (17347522574371).

The spelling of 13144320230240 in words is "thirteen trillion, one hundred forty-four billion, three hundred twenty million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 30803 50321 61606 100642 123212 154015 201284 246424 251605 308030 402568 492848 503210 616060 805136 985696 1006420 1232120 1610272 1632559 2012840 2464240 2667013 3265118 4025680 4928480 5334026 6530236 8051360 8162795 10668052 13060472 13335065 16325590 21336104 26120944 26670130 32651180 42672208 52241888 53340260 65302360 85344416 106680520 130604720 213361040 261209440 426722080 1550037763 3100075526 6200151052 7750188815 12400302104 15500377630 24800604208 31000755260 49601208416 62001510520 82152001439 124003021040 164304002878 248006042080 328608005756 410760007195 657216011512 821520014390 1314432023024 1643040028780 2628864046048 3286080057560 6572160115120 13144320230240