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13444644643353 = 32711174127834493
BaseRepresentation
bin1100001110100101001101…
…0001001010001000011001
31202121021222101211202122200
43003221103101022020121
53230234113012041403
644332215014240413
72555225553613440
oct303512321121031
952537871752580
1013444644643353
114313929444460
1216117b4356109
13766a946c7491
14346a1d593d57
15184ad56c7ca3
hexc3a5344a219

13444644643353 has 96 divisors (see below), whose sum is σ = 26261511075072. Its totient is φ = 6413066956800.

The previous prime is 13444644643303. The next prime is 13444644643447. The reversal of 13444644643353 is 35334644644431.

It is a happy number.

13444644643353 is a `hidden beast` number, since 1 + 3 + 4 + 44 + 64 + 464 + 33 + 53 = 666.

It is not a de Polignac number, because 13444644643353 - 214 = 13444644626969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13444644643353.

It is not an unprimeable number, because it can be changed into a prime (13444644643303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13434226 + ... + 14400267.

It is an arithmetic number, because the mean of its divisors is an integer number (273557407032).

Almost surely, 213444644643353 is an apocalyptic number.

It is an amenable number.

13444644643353 is a deficient number, since it is larger than the sum of its proper divisors (12816866431719).

13444644643353 is a wasteful number, since it uses less digits than its factorization.

13444644643353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27834575 (or 27834572 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 54.

The spelling of 13444644643353 in words is "thirteen trillion, four hundred forty-four billion, six hundred forty-four million, six hundred forty-three thousand, three hundred fifty-three".

Divisors: 1 3 7 9 11 17 21 33 41 51 63 77 99 119 123 153 187 231 287 357 369 451 561 693 697 861 1071 1309 1353 1683 2091 2583 3157 3927 4059 4879 6273 7667 9471 11781 14637 23001 28413 43911 53669 69003 161007 483021 27834493 83503479 194841451 250510437 306179423 473186381 584524353 918538269 1141214213 1419559143 1753573059 2143255961 2755614807 3312304667 3423642639 4258677429 5205050191 6429767883 7988499491 9936914001 10270927917 12553356343 15615150573 19289303649 19400641621 23965498473 29810742003 36435351337 37660069029 46845451719 58201924863 71896495419 87873494401 109306054011 112980207087 135804491347 174605774589 213407057831 263620483203 327918162033 407413474041 640221173493 790861449609 1222240422123 1493849404817 1920663520479 4481548214451 13444644643353