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13451244044100 = 22352101641692567
BaseRepresentation
bin1100001110111101110010…
…0111110111111101000100
31202121221000022210001120120
43003233130213313331010
53230341121433402400
644335225522301540
72555551236604032
oct303573447677504
952557008701516
1013451244044100
114316705653965
121612b364b78b0
137675a6a0c135
14347087c31552
15184d6ec60ca0
hexc3bdc9f7f44

13451244044100 has 144 divisors (see below), whose sum is σ = 39365642687616. Its totient is φ = 3545937920000.

The previous prime is 13451244044059. The next prime is 13451244044111. The reversal of 13451244044100 is 144044215431.

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, 19076017 + ... + 19768583.

It is an arithmetic number, because the mean of its divisors is an integer number (273372518664).

Almost surely, 213451244044100 is an apocalyptic number.

13451244044100 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 13451244044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19682821343808).

13451244044100 is an abundant number, since it is smaller than the sum of its proper divisors (25914398643516).

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

13451244044100 is a wasteful number, since it uses less digits than its factorization.

13451244044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693326 (or 693319 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 13451244044100 its reverse (144044215431), we get a palindrome (13595288259531).

The spelling of 13451244044100 in words is "thirteen trillion, four hundred fifty-one billion, two hundred forty-four million, forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 641 1010 1212 1282 1515 1923 2020 2525 2564 3030 3205 3846 5050 6060 6410 7575 7692 9615 10100 12820 15150 16025 19230 30300 32050 38460 48075 64100 64741 96150 129482 192300 194223 258964 323705 388446 647410 692567 776892 971115 1294820 1385134 1618525 1942230 2077701 2770268 3237050 3462835 3884460 4155402 4855575 6474100 6925670 8310804 9711150 10388505 13851340 17314175 19422300 20777010 34628350 41554020 51942525 69256700 69949267 103885050 139898534 207770100 209847801 279797068 349746335 419695602 443935447 699492670 839391204 887870894 1049239005 1331806341 1398985340 1748731675 1775741788 2098478010 2219677235 2663612682 3497463350 4196956020 4439354470 5246195025 5327225364 6659031705 6994926700 8878708940 10492390050 11098386175 13318063410 20984780100 22196772350 26636126820 33295158525 44393544700 44837480147 66590317050 89674960294 133180634100 134512440441 179349920588 224187400735 269024880882 448374801470 538049761764 672562202205 896749602940 1120937003675 1345124404410 2241874007350 2690248808820 3362811011025 4483748014700 6725622022050 13451244044100