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11143043424 = 253319076763
BaseRepresentation
bin10100110000010110…
…10101100101100000
31001202120121020221000
422120023111211200
5140310104342144
65041414032000
7543064210032
oct123013254540
931676536830
1011143043424
1147a8a594a7
1221ab948600
13108775c026
14779ca7c52
154533e7769
hex2982d5960

11143043424 has 96 divisors (see below), whose sum is σ = 32522394240. Its totient is φ = 3711851136.

The previous prime is 11143043413. The next prime is 11143043441. The reversal of 11143043424 is 42434034111.

11143043424 is a `hidden beast` number, since 1 + 1 + 14 + 304 + 342 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1644267 + ... + 1651029.

It is an arithmetic number, because the mean of its divisors is an integer number (338774940).

Almost surely, 211143043424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11143043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16261197120).

11143043424 is an abundant number, since it is smaller than the sum of its proper divisors (21379350816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11143043424 is a wasteful number, since it uses less digits than its factorization.

11143043424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8689 (or 8675 counting only the distinct ones).

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

Adding to 11143043424 its reverse (42434034111), we get a palindrome (53577077535).

The spelling of 11143043424 in words is "eleven billion, one hundred forty-three million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1907 3814 5721 6763 7628 11442 13526 15256 17163 20289 22884 27052 30512 34326 40578 45768 51489 54104 60867 61024 68652 81156 91536 102978 108208 121734 137304 162312 182601 183072 205956 216416 243468 274608 324624 365202 411912 486936 549216 649248 730404 823824 973872 1460808 1647648 1947744 2921616 5843232 12897041 25794082 38691123 51588164 77382246 103176328 116073369 154764492 206352656 232146738 309528984 348220107 412705312 464293476 619057968 696440214 928586952 1238115936 1392880428 1857173904 2785760856 3714347808 5571521712 11143043424