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11144010144344 = 2372115934358209
BaseRepresentation
bin1010001000101010101011…
…0001000001101001011000
31110110100122020010222221012
42202022222301001221120
52430040413044104334
635411253152433052
72230061650206500
oct242125261015130
943410566128835
1011144010144344
11360716a225930
1212bb94a548788
1362ab4ca49c0c
142a75315d8a00
15144d344a69ce
hexa22aac41a58

11144010144344 has 96 divisors (see below), whose sum is σ = 26560849352400. Its totient is φ = 4334499348480.

The previous prime is 11144010144341. The next prime is 11144010144367. The reversal of 11144010144344 is 44344101044111.

It is a self number, because there is not a number n which added to its sum of digits gives 11144010144344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144010144341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377912 + ... + 4736120.

Almost surely, 211144010144344 is an apocalyptic number.

11144010144344 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 11144010144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280424676200).

11144010144344 is an abundant number, since it is smaller than the sum of its proper divisors (15416839208056).

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

11144010144344 is a wasteful number, since it uses less digits than its factorization.

11144010144344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358833 (or 4358822 counting only the distinct ones).

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

Adding to 11144010144344 its reverse (44344101044111), we get a palindrome (55488111188455).

The spelling of 11144010144344 in words is "eleven trillion, one hundred forty-four billion, ten million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 593 616 1078 1186 2156 2372 4151 4312 4744 6523 8302 13046 16604 26092 29057 33208 45661 52184 58114 91322 116228 182644 232456 319627 365288 639254 1278508 2557016 4358209 8716418 17432836 30507463 34865672 47940299 61014926 95880598 122029852 191761196 213552241 244059704 335582093 383522392 427104482 671164186 854208964 1342328372 1708417928 2349074651 2584417937 2684656744 4698149302 5168835874 9396298604 10337671748 18090925559 18792597208 20675343496 28428597307 36181851118 56857194614 72363702236 113714389228 126636478913 144727404472 199000181149 227428778456 253272957826 398000362298 506545915652 796000724596 1013091831304 1393001268043 1592001449192 2786002536086 5572005072172 11144010144344