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11144441112 = 2337577114967
BaseRepresentation
bin10100110000100001…
…01010110100011000
31001202200020021012020
422120100222310120
5140310434103422
65041504014440
7543112120650
oct123020526430
931680207166
1011144441112
1147a9823612
1221b0301420
131087b2b26c
1477a14d360
154535c195c
hex29842ad18

11144441112 has 64 divisors (see below), whose sum is σ = 31896721920. Its totient is φ = 3178579968.

The previous prime is 11144441083. The next prime is 11144441159. The reversal of 11144441112 is 21114444111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39453 + ... + 154419.

It is an arithmetic number, because the mean of its divisors is an integer number (498386280).

Almost surely, 211144441112 is an apocalyptic number.

11144441112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11144441112 is an abundant number, since it is smaller than the sum of its proper divisors (20752280808).

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

11144441112 is a wasteful number, since it uses less digits than its factorization.

11144441112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115560 (or 115556 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

Adding to 11144441112 its reverse (21114444111), we get a palindrome (32258885223).

It can be divided in two parts, 1114444111 and 2, that multiplied together give a palindrome (2228888222).

The spelling of 11144441112 in words is "eleven billion, one hundred forty-four million, four hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 577 1154 1731 2308 3462 4039 4616 6924 8078 12117 13848 16156 24234 32312 48468 96936 114967 229934 344901 459868 689802 804769 919736 1379604 1609538 2414307 2759208 3219076 4828614 6438152 9657228 19314456 66335959 132671918 199007877 265343836 398015754 464351713 530687672 796031508 928703426 1393055139 1592063016 1857406852 2786110278 3714813704 5572220556 11144441112