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144101142113103 = 32717896163245299
BaseRepresentation
bin100000110000111100101001…
…011000110010101101001111
3200220012221020100122221102100
4200300330221120302231033
5122341423114340104403
61230251052323330143
742231651431052420
oct4060745130625517
9626187210587370
10144101142113103
1141a07a5101743a
12141b3924b20953
1362538aa822b26
14278276522d647
15119d604ad52a3
hex830f29632b4f

144101142113103 has 96 divisors (see below), whose sum is σ = 254746679616000. Its totient is φ = 76616243877888.

The previous prime is 144101142113101. The next prime is 144101142113111. The reversal of 144101142113103 is 301311241101441.

144101142113103 is a `hidden beast` number, since 1 + 4 + 4 + 101 + 1 + 421 + 131 + 0 + 3 = 666.

It is not a de Polignac number, because 144101142113103 - 21 = 144101142113101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144101142113101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 587328348 + ... + 587573646.

It is an arithmetic number, because the mean of its divisors is an integer number (2653611246000).

Almost surely, 2144101142113103 is an apocalyptic number.

144101142113103 is a deficient number, since it is larger than the sum of its proper divisors (110645537502897).

144101142113103 is a wasteful number, since it uses less digits than its factorization.

144101142113103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251581 (or 251578 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 144101142113103 its reverse (301311241101441), we get a palindrome (445412383214544).

The spelling of 144101142113103 in words is "one hundred forty-four trillion, one hundred one billion, one hundred forty-two million, one hundred thirteen thousand, one hundred three".

Divisors: 1 3 7 9 17 21 51 63 89 119 153 267 357 623 801 1071 1513 1869 4539 5607 6163 10591 13617 18489 31773 43141 55467 95319 104771 129423 245299 314313 388269 548507 733397 735897 942939 1645521 1717093 2200191 2207691 3839549 4170083 4936563 5151279 6600573 9324619 11518647 12510249 15453837 21831611 27973857 29190581 34555941 37530747 65272333 65494833 83921571 87571743 152821277 195816999 196484499 262715229 371137387 458463831 587450997 1113412161 1375391493 1511777737 2597961709 3340236483 4535333211 7793885127 10582444159 13605999633 23381655381 25700221529 31747332477 77100664587 95241997431 134548218593 179901550703 231301993761 403644655779 539704652109 941837530151 1210933967337 1619113956327 2287319716081 2825512590453 6861959148243 8476537771359 16011238012567 20585877444729 48033714037701 144101142113103