Search a number
-
+
13444432343320 = 23511199403171029
BaseRepresentation
bin1100001110100100011010…
…0111010011000100011000
31202121021102121100210202111
43003221012213103010120
53230233144134441240
644332141552042104
72555220365240056
oct303510647230430
952537377323674
1013444432343320
11431382a620290
121611755233334
13766a5c724764
143469dd2cd1d6
15184ac1c3e1ea
hexc3a469d3118

13444432343320 has 128 divisors (see below), whose sum is σ = 34740708192000. Its totient is φ = 4631055137280.

The previous prime is 13444432343317. The next prime is 13444432343351. The reversal of 13444432343320 is 2334323444431.

It is a super-2 number, since 2×134444323433202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 78523566 + ... + 78694594.

It is an arithmetic number, because the mean of its divisors is an integer number (271411782750).

Almost surely, 213444432343320 is an apocalyptic number.

13444432343320 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 13444432343320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17370354096000).

13444432343320 is an abundant number, since it is smaller than the sum of its proper divisors (21296275848680).

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

13444432343320 is a wasteful number, since it uses less digits than its factorization.

13444432343320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180473 (or 180469 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 40.

Adding to 13444432343320 its reverse (2334323444431), we get a palindrome (15778755787751).

The spelling of 13444432343320 in words is "thirteen trillion, four hundred forty-four billion, four hundred thirty-two million, three hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 9403 18806 37612 47015 75224 94030 103433 171029 178657 188060 206866 342058 357314 376120 413732 517165 684116 714628 827464 855145 893285 1034330 1368232 1429256 1710290 1786570 1881319 1965227 2068660 3249551 3420580 3573140 3762638 3930454 4137320 6499102 6841160 7146280 7525276 7860908 9406595 9826135 12998204 15050552 15721816 16247755 18813190 19652270 25996408 32495510 35745061 37626380 39304540 64991020 71490122 75252760 78609080 129982040 142980244 178725305 285960488 357450610 714901220 1429802440 1608185687 3216371374 6432742748 8040928435 12865485496 16081856870 17690042557 30555528053 32163713740 35380085114 61111056106 64327427480 70760170228 88450212785 122222112212 141520340456 152777640265 176900425570 244444224424 305555280530 336110808583 353800851140 611110561060 672221617166 707601702280 1222221122120 1344443234332 1680554042915 2688886468664 3361108085830 6722216171660 13444432343320