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11440443431310 = 23523121531136429
BaseRepresentation
bin1010011001111010111110…
…0100010001100110001110
31111111200210011200020012120
42212132233210101212032
52444420012004300220
640155400034513410
72260354565445645
oct246365744214616
944450704606176
1011440443431310
113710957079903
121349299435866
1364caa195182a
142b7a12b7435c
1514c8d397ba40
hexa67af91198e

11440443431310 has 64 divisors (see below), whose sum is σ = 28651295393280. Its totient is φ = 2918096691840.

The previous prime is 11440443431299. The next prime is 11440443431317. The reversal of 11440443431310 is 1313434404411.

It is a super-2 number, since 2×114404434313102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11440443431317) by changing a digit.

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, 83788176 + ... + 83924604.

It is an arithmetic number, because the mean of its divisors is an integer number (447676490520).

Almost surely, 211440443431310 is an apocalyptic number.

11440443431310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11440443431310 is an abundant number, since it is smaller than the sum of its proper divisors (17210851961970).

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

11440443431310 is a wasteful number, since it uses less digits than its factorization.

11440443431310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257993.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 11440443431310 its reverse (1313434404411), we get a palindrome (12753877835721).

The spelling of 11440443431310 in words is "eleven trillion, four hundred forty billion, four hundred forty-three million, four hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 121531 136429 243062 272858 364593 409287 607655 682145 729186 818574 1215310 1364290 1822965 2046435 2795213 3137867 3645930 4092870 5590426 6275734 8385639 9413601 13976065 15689335 16771278 18827202 27952130 31378670 41928195 47068005 83856390 94136010 16580352799 33160705598 49741058397 82901763995 99482116794 165803527990 248705291985 381348114377 497410583970 762696228754 1144044343131 1906740571885 2288088686262 3813481143770 5720221715655 11440443431310