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11422231141244 = 22711191696127893
BaseRepresentation
bin1010011000110111001000…
…0001111001101101111100
31111102221202221001000221212
42212031302001321231330
52444120212133004434
640143144530143552
72256141351521240
oct246156201715574
944387687030855
1011422231141244
11370416077a810
121345856121bb8
1364b15b752c31
142b6ba6086420
1514c1b9b3c8ce
hexa6372079b7c

11422231141244 has 96 divisors (see below), whose sum is σ = 25056206364672. Its totient is φ = 4426125696000.

The previous prime is 11422231141213. The next prime is 11422231141261. The reversal of 11422231141244 is 44214113222411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11422231141244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409487762 + ... + 409515654.

It is an arithmetic number, because the mean of its divisors is an integer number (261002149632).

Almost surely, 211422231141244 is an apocalyptic number.

11422231141244 is a gapful number since it is divisible by the number (14) 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 11422231141244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12528103182336).

11422231141244 is an abundant number, since it is smaller than the sum of its proper divisors (13633975223428).

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

11422231141244 is a wasteful number, since it uses less digits than its factorization.

11422231141244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35067 (or 35065 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

Adding to 11422231141244 its reverse (44214113222411), we get a palindrome (55636344363655).

The spelling of 11422231141244 in words is "eleven trillion, four hundred twenty-two billion, two hundred thirty-one million, one hundred forty-one thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 191 308 382 764 1337 2101 2674 4202 5348 6961 8404 13922 14707 27844 27893 29414 48727 55786 58828 76571 97454 111572 153142 194908 195251 306284 306823 390502 535997 613646 781004 1071994 1227292 1329551 2143988 2147761 2659102 4295522 5318204 5327563 8591044 9306857 10655126 14625061 18613714 21310252 29250122 37227428 37292941 58500244 58603193 74585882 102375427 117206386 149171764 194163173 204750854 234412772 388326346 409501708 410222351 776652692 820444702 1359142211 1640889404 2135794903 2718284422 4271589806 5436568844 8543179612 14950564321 29901128642 37085166043 59802257284 74170332086 148340664172 259596162301 407936826473 519192324602 815873652946 1038384649204 1631747305892 2855557785311 5711115570622 11422231141244