Search a number
-
+
144104322411 = 327241471511123
BaseRepresentation
bin1000011000110101001…
…0010111010101101011
3111202221212201001122100
42012031102113111223
54330111201304121
6150111155424443
713261016346600
oct2061522272553
9452855631570
10144104322411
1156129151335
1223b182b5123
1310786cab73a
146d9077a6a7
153b36202026
hex218d49756b

144104322411 has 144 divisors (see below), whose sum is σ = 255222309888. Its totient is φ = 78037344000.

The previous prime is 144104322407. The next prime is 144104322419. The reversal of 144104322411 is 114223401441.

144104322411 is a `hidden beast` number, since 1 + 4 + 410 + 4 + 3 + 2 + 241 + 1 = 666.

144104322411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144104322411 - 22 = 144104322407 is a prime.

It is a super-3 number, since 3×1441043224113 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (144104322419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 128320296 + ... + 128321418.

It is an arithmetic number, because the mean of its divisors is an integer number (1772377152).

Almost surely, 2144104322411 is an apocalyptic number.

144104322411 is a deficient number, since it is larger than the sum of its proper divisors (111117987477).

144104322411 is a wasteful number, since it uses less digits than its factorization.

144104322411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144104322411 its reverse (114223401441), we get a palindrome (258327723852).

The spelling of 144104322411 in words is "one hundred forty-four billion, one hundred four million, three hundred twenty-two thousand, four hundred eleven".

Divisors: 1 3 7 9 21 41 47 49 63 123 141 147 151 287 329 369 423 441 453 861 987 1057 1123 1359 1927 2009 2303 2583 2961 3171 3369 5781 6027 6191 6909 7097 7399 7861 9513 10107 13489 17343 18081 18573 20727 21291 22197 23583 40467 43337 46043 49679 52781 55027 55719 63873 66591 70749 94423 121401 130011 138129 149037 158343 165081 169573 283269 290977 303359 322301 347753 369467 390033 414387 447111 475029 495243 508719 849807 872931 910077 966903 1043259 1108401 1187011 1526157 2036839 2164021 2256107 2586269 2618793 2730231 2900709 3129777 3325203 3561033 6110517 6492063 6768321 6952493 7758807 7969931 8309077 10683099 14257873 15148147 18331551 19476189 20304963 20857479 23276421 23909793 24927231 42773619 45444441 48667451 55789517 62572437 71729379 74781693 106037029 128320857 136333323 146002353 167368551 318111087 326767171 340672157 390526619 438007059 502105653 954333261 980301513 1022016471 1171579857 2287370197 2940904539 3066049413 3514739571 6862110591 16011591379 20586331773 48034774137 144104322411