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14244633644241 = 37111337128201831
BaseRepresentation
bin1100111101001001011001…
…0101000000110011010001
31212102202220000021200200210
43033102112111000303101
53331341002203103431
650143521103034333
73000066205125210
oct317222625006321
955382800250623
1014244633644241
1145a212a376380
121720856b9b9a9
137c43562c25b0
14373630295077
1519a807a45d46
hexcf496540cd1

14244633644241 has 64 divisors (see below), whose sum is σ = 26190095855616. Its totient is φ = 6645982867200.

The previous prime is 14244633644233. The next prime is 14244633644243.

14244633644241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14244633644241 - 23 = 14244633644233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14244633644243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63989805 + ... + 64212026.

It is an arithmetic number, because the mean of its divisors is an integer number (409220247744).

Almost surely, 214244633644241 is an apocalyptic number.

14244633644241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14244633644241 is a deficient number, since it is larger than the sum of its proper divisors (11945462211375).

14244633644241 is a wasteful number, since it uses less digits than its factorization.

14244633644241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128201902.

The product of its digits is 5308416, while the sum is 48.

The spelling of 14244633644241 in words is "fourteen trillion, two hundred forty-four billion, six hundred thirty-three million, six hundred forty-four thousand, two hundred forty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 128201831 384605493 897412817 1410220141 1666623803 2692238451 4230660423 4743467747 4999871409 9871540987 11666366621 14230403241 18332861833 29614622961 33204274229 34999099863 52178145217 54998585499 61665080711 99612822687 128330032831 156534435651 184995242133 365247016519 384990098493 431655564977 678315887821 1095741049557 1294966694931 2034947663463 4748211214747 14244633644241