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11440222204411 = 72111316310919181
BaseRepresentation
bin1010011001111010001001…
…1000010111000111111011
31111111200012202101201221201
42212132202120113013323
52444414033341020121
640155322053115031
72260346241162400
oct246364230270773
944450182351851
1011440222204411
113710853208860
121349237328a77
1364ca67b74840
142b79d16282a7
1514c8be32ce91
hexa67a26171fb

11440222204411 has 96 divisors (see below), whose sum is σ = 15746640489216. Its totient is φ = 8169862176000.

The previous prime is 11440222204391. The next prime is 11440222204441.

11440222204411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11440222204411 - 25 = 11440222204379 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11440222204411.

It is not an unprimeable number, because it can be changed into a prime (11440222204441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1246071241 + ... + 1246080421.

It is an arithmetic number, because the mean of its divisors is an integer number (164027505096).

Almost surely, 211440222204411 is an apocalyptic number.

11440222204411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11440222204411 is a deficient number, since it is larger than the sum of its proper divisors (4306418284805).

11440222204411 is a wasteful number, since it uses less digits than its factorization.

11440222204411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10473 (or 10466 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 1144022 and 2204411, that added together give a palindrome (3348433).

The spelling of 11440222204411 in words is "eleven trillion, four hundred forty billion, two hundred twenty-two million, two hundred four thousand, four hundred eleven".

Divisors: 1 7 11 13 49 77 91 143 163 539 637 1001 1091 1141 1793 2119 7007 7637 7987 9181 12001 12551 14183 14833 23309 53459 64267 84007 87857 99281 100991 103831 119353 156013 163163 177833 449869 588049 694967 706937 835471 1092091 1142141 1244831 1312883 1496503 1956163 2311829 4948559 5848297 7644637 8713817 9190181 10016471 10475521 13693141 16182803 16461533 19454539 25430119 64331267 70115297 73328647 95851987 110181181 113279621 115230731 130214123 136181773 178010833 213999929 490807079 771268267 806615117 911498861 953272411 1246075831 1432355353 1497999503 1632684773 5398877869 6380492027 10026487471 10485996521 11428793411 17959532503 21224902049 70185412297 80001553877 125716727521 148574314343 233473922539 880017092647 1040020200401 1634317457773 11440222204411