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11144001103044 = 22311328192915321
BaseRepresentation
bin1010001000101010101000…
…1110100010010011000100
31110110100121121010122121020
42202022222032202103010
52430040403240244134
635411252230551140
72230061510312145
oct242125216422304
943410547118536
1011144001103044
11360716510aa87
1212bb9475084b0
1362ab4ac02834
142a7530323acc
15144d337bcb49
hexa22aa3a24c4

11144001103044 has 48 divisors (see below), whose sum is σ = 26242096063680. Its totient is φ = 3680486548480.

The previous prime is 11144001103021. The next prime is 11144001103049. The reversal of 11144001103044 is 44030110044111.

It is a super-3 number, since 3×111440011030443 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11144001103049) 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 15 ways as a sum of consecutive naturals, for example, 2364904 + ... + 5280224.

It is an arithmetic number, because the mean of its divisors is an integer number (546710334660).

Almost surely, 211144001103044 is an apocalyptic number.

It is an amenable number.

11144001103044 is an abundant number, since it is smaller than the sum of its proper divisors (15098094960636).

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

11144001103044 is a wasteful number, since it uses less digits than its factorization.

11144001103044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918260 (or 2918258 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11144001103044 its reverse (44030110044111), we get a palindrome (55174111147155).

The spelling of 11144001103044 in words is "eleven trillion, one hundred forty-four billion, one million, one hundred three thousand, forty-four".

Divisors: 1 2 3 4 6 12 113 226 339 452 678 1356 2819 5638 8457 11276 16914 33828 318547 637094 955641 1274188 1911282 2915321 3822564 5830642 8745963 11661284 17491926 34983852 329431273 658862546 988293819 1317725092 1976587638 3953175276 8218289899 16436579798 24654869697 32873159596 49309739394 98619478788 928666758587 1857333517174 2786000275761 3714667034348 5572000551522 11144001103044