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11144004705 = 34529179433
BaseRepresentation
bin10100110000011110…
…00000010001100001
31001202122102002120000
422120033000101201
5140310331122310
65041450410213
7543105322431
oct123017002141
931678362500
1011144004705
1147a9555749
1221b0130969
131087a07732
1477a0782c1
154535374c0
hex2983c0461

11144004705 has 40 divisors (see below), whose sum is σ = 19985627112. Its totient is φ = 5940801792.

The previous prime is 11144004673. The next prime is 11144004709. The reversal of 11144004705 is 50740044111.

It can be written as a sum of positive squares in 4 ways, for example, as 5692249809 + 5451754896 = 75447^2 + 73836^2 .

It is not a de Polignac number, because 11144004705 - 25 = 11144004673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11144004709) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1176669 + ... + 1186101.

Almost surely, 211144004705 is an apocalyptic number.

11144004705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11144004705 is a deficient number, since it is larger than the sum of its proper divisors (8841622407).

11144004705 is an equidigital number, since it uses as much as digits as its factorization.

11144004705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12367 (or 12358 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 11144004705 its reverse (50740044111), we get a palindrome (61884048816).

The spelling of 11144004705 in words is "eleven billion, one hundred forty-four million, four thousand, seven hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 2917 8751 9433 14585 26253 28299 43755 47165 78759 84897 131265 141495 236277 254691 393795 424485 764073 1181385 1273455 3820365 27516061 82548183 137580305 247644549 412740915 742933647 1238222745 2228800941 3714668235 11144004705