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11144241423 = 32729107109523
BaseRepresentation
bin10100110000011111…
…11010000100001111
31001202122212010021100
422120033322010033
5140310411211143
65041455434143
7543110326530
oct123017720417
931678763240
1011144241423
1147a96a7587
1221b0225953
131087a8b3c3
1477a0da687
154535826d3
hex2983fa10f

11144241423 has 96 divisors (see below), whose sum is σ = 19422374400. Its totient is φ = 6023662848.

The previous prime is 11144241401. The next prime is 11144241473. The reversal of 11144241423 is 32414244111.

11144241423 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 11144241423 - 212 = 11144237327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144241473) 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 95 ways as a sum of consecutive naturals, for example, 21308040 + ... + 21308562.

It is an arithmetic number, because the mean of its divisors is an integer number (202316400).

Almost surely, 211144241423 is an apocalyptic number.

11144241423 is a deficient number, since it is larger than the sum of its proper divisors (8278132977).

11144241423 is a wasteful number, since it uses less digits than its factorization.

11144241423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 778 counting only the distinct ones).

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

Adding to 11144241423 its reverse (32414244111), we get a palindrome (43558485534).

The spelling of 11144241423 in words is "eleven billion, one hundred forty-four million, two hundred forty-one thousand, four hundred twenty-three".

Divisors: 1 3 7 9 21 29 63 87 107 109 203 261 321 327 523 609 749 763 963 981 1569 1827 2247 2289 3103 3161 3661 4707 6741 6867 9309 9483 10983 11663 15167 21721 22127 27927 28449 32949 34989 45501 55961 57007 65163 66381 81641 104967 106169 136503 167883 171021 195489 199143 244923 318507 338227 391727 399049 503649 513063 734769 955521 1014681 1175181 1197147 1622869 1653203 2367589 3044043 3525543 3591441 4868607 4959609 6099749 7102767 11360083 11572421 14605821 14878827 18299247 21308301 34080249 34717263 42698243 54897741 102240747 104151789 128094729 176892721 384284187 530678163 1238249047 1592034489 3714747141 11144241423