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11323123440 = 2435477313751
BaseRepresentation
bin10101000101110100…
…10010011011110000
31002020010110021021020
422202322102123300
5141142204422230
65111325455440
7550411650456
oct124272223360
932203407236
1011323123440
114890676262
122240111580
1310b5b60455
14795b829d6
15464119810
hex2a2e926f0

11323123440 has 160 divisors (see below), whose sum is σ = 36342245376. Its totient is φ = 2914560000.

The previous prime is 11323123421. The next prime is 11323123447. The reversal of 11323123440 is 4432132311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11323123440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323123447) 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, 816565 + ... + 830315.

Almost surely, 211323123440 is an apocalyptic number.

11323123440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18171122688).

11323123440 is an abundant number, since it is smaller than the sum of its proper divisors (25019121936).

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

11323123440 is a wasteful number, since it uses less digits than its factorization.

11323123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13887 (or 13881 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11323123440 its reverse (4432132311), we get a palindrome (15755255751).

The spelling of 11323123440 in words is "eleven billion, three hundred twenty-three million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 73 80 94 120 141 146 188 219 235 240 282 292 365 376 438 470 564 584 705 730 752 876 940 1095 1128 1168 1410 1460 1752 1880 2190 2256 2820 2920 3431 3504 3760 4380 5640 5840 6862 8760 10293 11280 13724 13751 17155 17520 20586 27448 27502 34310 41172 41253 51465 54896 55004 68620 68755 82344 82506 102930 110008 137240 137510 164688 165012 205860 206265 220016 274480 275020 330024 411720 412530 550040 646297 660048 823440 825060 1003823 1100080 1292594 1650120 1938891 2007646 2585188 3011469 3231485 3300240 3877782 4015292 5019115 5170376 6022938 6462970 7755564 8030584 9694455 10038230 10340752 12045876 12925940 15057345 15511128 16061168 19388910 20076460 24091752 25851880 30114690 31022256 38777820 40152920 47179681 48183504 51703760 60229380 77555640 80305840 94359362 120458760 141539043 155111280 188718724 235898405 240917520 283078086 377437448 471796810 566156172 707695215 754874896 943593620 1132312344 1415390430 1887187240 2264624688 2830780860 3774374480 5661561720 11323123440