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14442324430011 = 31737711072773637
BaseRepresentation
bin1101001000101001110110…
…0111100000110010111011
31220010200011102101010210020
43102022131213200302323
53343110340023230021
650414413502421523
73020265156103212
oct322123547406273
956120142333706
1014442324430011
114668a566a2765
1217530292918a3
13809ba00915ca
1437d0257ca079
151a0a283c87c6
hexd229d9e0cbb

14442324430011 has 128 divisors (see below), whose sum is σ = 21516906645504. Its totient is φ = 8578065162240.

The previous prime is 14442324430007. The next prime is 14442324430021. The reversal of 14442324430011 is 11003442324441.

It is a happy number.

It is not a de Polignac number, because 14442324430011 - 22 = 14442324430007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14442324430021) 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 127 ways as a sum of consecutive naturals, for example, 3970942485 + ... + 3970946121.

It is an arithmetic number, because the mean of its divisors is an integer number (168100833168).

Almost surely, 214442324430011 is an apocalyptic number.

14442324430011 is a deficient number, since it is larger than the sum of its proper divisors (7074582215493).

14442324430011 is a wasteful number, since it uses less digits than its factorization.

14442324430011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 14442324430011 its reverse (11003442324441), we get a palindrome (25445766754452).

The spelling of 14442324430011 in words is "fourteen trillion, four hundred forty-two billion, three hundred twenty-four million, four hundred thirty thousand, eleven".

Divisors: 1 3 17 37 51 71 107 111 213 277 321 629 831 1207 1819 1887 2627 3621 3637 3959 4709 5457 7597 7881 10249 10911 11877 14127 19667 22791 29639 30747 44659 59001 61829 67303 88917 129149 133977 134569 174233 185487 201909 258227 281089 334339 387447 389159 403707 503863 522699 727679 774681 843267 1003017 1007449 1096643 1167477 1511589 2104369 2183037 2287673 3022347 3289929 4389859 4778513 6313107 6615703 6863019 9554399 12370543 13169577 14335539 14398883 17126633 18642931 19847109 27630289 28663197 35774273 37111629 37275613 43196649 51379899 55928793 71528879 77861653 82890867 107322819 107797043 111826839 162424783 214586637 233584959 244781011 323391129 469714913 487274349 633685421 734343033 1022320693 1215990943 1323648101 1409144739 1832549731 1901056263 2646568523 3066962079 3647972829 3970944303 3988490591 5497649193 7653590053 7939705569 11965471773 17379451781 22960770159 44991664891 52138355343 67804340047 130111030901 134974994673 203413020141 283182831961 390333092703 849548495883 4814108143337 14442324430011