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144120004223013 = 327132231035713891
BaseRepresentation
bin100000110001001110001101…
…101010000010000000100101
3200220021201220220001101220200
4200301032031222002000211
5122342230232040114023
61230303452124021113
742233220025253460
oct4061161552020045
9626251826041820
10144120004223013
1141a14a50201825
12141b7509991799
1362555c5541700
1427836343522d7
15119dd5a9d3743
hex83138da82025

144120004223013 has 144 divisors (see below), whose sum is σ = 271431994189824. Its totient is φ = 72008178802560.

The previous prime is 144120004222993. The next prime is 144120004223077. The reversal of 144120004223013 is 310322400021441.

144120004223013 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 200 + 0 + 422 + 30 + 1 + 3 = 666.

It is not a de Polignac number, because 144120004223013 - 217 = 144120004091941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144120004223413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22365798 + ... + 28079688.

It is an arithmetic number, because the mean of its divisors is an integer number (1884944404096).

Almost surely, 2144120004223013 is an apocalyptic number.

144120004223013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144120004223013 is a deficient number, since it is larger than the sum of its proper divisors (127311989966811).

144120004223013 is a wasteful number, since it uses less digits than its factorization.

144120004223013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5714056 (or 5714040 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 144120004223013 its reverse (310322400021441), we get a palindrome (454442404244454).

The spelling of 144120004223013 in words is "one hundred forty-four trillion, one hundred twenty billion, four million, two hundred twenty-three thousand, thirteen".

Divisors: 1 3 7 9 13 21 23 39 63 69 91 103 117 161 169 207 273 299 309 483 507 721 819 897 927 1183 1339 1449 1521 2093 2163 2369 2691 3549 3887 4017 6279 6489 7107 9373 10647 11661 12051 16583 17407 18837 21321 27209 28119 30797 34983 49749 52221 81627 84357 92391 121849 149247 156663 215579 244881 277173 365547 400361 646737 1096641 1201083 1940211 2802527 3603249 5713891 8407581 17141673 25222743 39997237 51425019 74280583 119991711 131419493 222841749 359975133 394258479 519964081 588530773 668525247 919936451 965647579 1182775437 1559892243 1708453409 1765592319 2759809353 2896942737 4119715411 4679676729 5125360227 5296776957 6759533053 7650900049 8279428059 8690828211 11959173863 12359146233 13536207779 15376080681 20278599159 22209894317 22952700147 35877521589 37077438699 40608623337 53556300343 60835797477 66629682951 68858100441 94753454453 99461700637 107632564767 121825870011 155469260219 160668901029 175970701127 199889048853 284260363359 298385101911 466407780657 482006703087 527912103381 696231904459 852781090077 895155305733 1231794907889 1399223341971 1583736310143 2088695713377 2287619114651 3695384723667 6266087140131 6862857343953 11086154171001 16013333802557 20588572031859 48040001407671 144120004223013