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10440034305 = 3517236412777
BaseRepresentation
bin10011011100100011…
…00100100000000001
3222221120202200201020
421232101210200001
5132340122044210
64443542100053
7516466553541
oct115621444001
928846680636
1010440034305
114478144328
12203441a629
13ca4c080bc
14710789321
1541182d770
hex26e464801

10440034305 has 64 divisors (see below), whose sum is σ = 18491079168. Its totient is φ = 5003018240.

The previous prime is 10440034301. The next prime is 10440034321. The reversal of 10440034305 is 50343004401.

It is not a de Polignac number, because 10440034305 - 22 = 10440034301 is a prime.

It is a super-3 number, since 3×104400343053 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10440034301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3758077 + ... + 3760853.

It is an arithmetic number, because the mean of its divisors is an integer number (288923112).

Almost surely, 210440034305 is an apocalyptic number.

10440034305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10440034305 is a deficient number, since it is larger than the sum of its proper divisors (8051044863).

10440034305 is a wasteful number, since it uses less digits than its factorization.

10440034305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466.

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 10440034305 its reverse (50343004401), we get a palindrome (60783038706).

The spelling of 10440034305 in words is "ten billion, four hundred forty million, thirty-four thousand, three hundred five".

Divisors: 1 3 5 15 17 23 51 69 85 115 255 345 391 641 1173 1923 1955 2777 3205 5865 8331 9615 10897 13885 14743 32691 41655 44229 47209 54485 63871 73715 141627 163455 191613 221145 236045 250631 319355 708135 751893 958065 1085807 1253155 1780057 3257421 3759465 5340171 5429035 8900285 16287105 26700855 30260969 40941311 90782907 122823933 151304845 204706555 453914535 614119665 696002287 2088006861 3480011435 10440034305