Search a number
-
+
13443044223240 = 23325107348988687
BaseRepresentation
bin1100001110011111001111…
…1000000010100100001000
31202121010211212100222222200
43003213303320002210020
53230222323310120430
644331352123520200
72555141111353542
oct303476370024410
952533755328880
1013443044223240
114313188006105
121611428389060
1376689ac75428
1434690abd0692
15184a3ee44460
hexc39f3e02908

13443044223240 has 96 divisors (see below), whose sum is σ = 44098210615680. Its totient is φ = 3551308868736.

The previous prime is 13443044223197. The next prime is 13443044223241. The reversal of 13443044223240 is 4232244034431.

13443044223240 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 304 + 4 + 22 + 324 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13443044223195 and 13443044223204.

It is not an unprimeable number, because it can be changed into a prime (13443044223241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 174455824 + ... + 174532863.

It is an arithmetic number, because the mean of its divisors is an integer number (459356360580).

Almost surely, 213443044223240 is an apocalyptic number.

13443044223240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13443044223240 is an abundant number, since it is smaller than the sum of its proper divisors (30655166392440).

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

13443044223240 is a wasteful number, since it uses less digits than its factorization.

13443044223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348988811 (or 348988804 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 13443044223240 its reverse (4232244034431), we get a palindrome (17675288257671).

The spelling of 13443044223240 in words is "thirteen trillion, four hundred forty-three billion, forty-four million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 180 214 321 360 428 535 642 856 963 1070 1284 1605 1926 2140 2568 3210 3852 4280 4815 6420 7704 9630 12840 19260 38520 348988687 697977374 1046966061 1395954748 1744943435 2093932122 2791909496 3140898183 3489886870 4187864244 5234830305 6281796366 6979773740 8375728488 10469660610 12563592732 13959547480 15704490915 20939321220 25127185464 31408981830 37341789509 41878642440 62817963660 74683579018 112025368527 125635927320 149367158036 186708947545 224050737054 298734316072 336076105581 373417895090 448101474108 560126842635 672152211162 746835790180 896202948216 1120253685270 1344304422324 1493671580360 1680380527905 2240507370540 2688608844648 3360761055810 4481014741080 6721522111620 13443044223240