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11143242344 = 23132937611637
BaseRepresentation
bin10100110000011000…
…00110001001101000
31001202120222100210102
422120030012021220
5140310132223334
65041422204532
7543065666003
oct123014061150
931676870712
1011143242344
1147a90849a3
1221aba23748
1310877cb730
14779d1a53a
1545343667e
hex298306268

11143242344 has 128 divisors (see below), whose sum is σ = 24312506400. Its totient is φ = 4749373440.

The previous prime is 11143242323. The next prime is 11143242349. The reversal of 11143242344 is 44324234111.

It can be written as a sum of positive squares in 16 ways, for example, as 319336900 + 10823905444 = 17870^2 + 104038^2 .

It is a super-2 number, since 2×111432423442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (11143242349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6806294 + ... + 6807930.

Almost surely, 211143242344 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 11143242344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156253200).

11143242344 is an abundant number, since it is smaller than the sum of its proper divisors (13169264056).

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

11143242344 is a wasteful number, since it uses less digits than its factorization.

11143242344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1779 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 11143242344 its reverse (44324234111), we get a palindrome (55467476455).

The spelling of 11143242344 in words is "eleven billion, one hundred forty-three million, two hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 29 37 52 58 61 74 104 116 122 148 232 244 296 377 481 488 754 793 962 1073 1508 1586 1637 1769 1924 2146 2257 3016 3172 3274 3538 3848 4292 4514 6344 6548 7076 8584 9028 13096 13949 14152 18056 21281 22997 27898 29341 42562 45994 47473 55796 58682 60569 65453 85124 91988 94946 99857 111592 117364 121138 130906 170248 183976 189892 199714 234728 242276 261812 379784 399428 484552 523624 617149 787397 798856 850889 1234298 1298141 1574794 1701778 1756501 2468596 2596282 2895853 3149588 3403556 3513002 3694709 4937192 5192564 5791706 6299176 6807112 7026004 7389418 10385128 11583412 14052008 14778836 22834513 23166824 29557672 37646089 45669026 48031217 75292178 91338052 96062434 107146561 150584356 182676104 192124868 214293122 301168712 384249736 428586244 857172488 1392905293 2785810586 5571621172 11143242344