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11110312444 = 22711211092957
BaseRepresentation
bin10100101100011100…
…11110100111111100
31001200022000100110111
422112032132213330
5140223214444234
65034244315404
7542216045320
oct122616364774
931608010414
1011110312444
114791533200
1221a09a2b64
131080a3bc9a
147757c7980
154505ce664
hex29639e9fc

11110312444 has 72 divisors (see below), whose sum is σ = 24454614240. Its totient is φ = 4323327360.

The previous prime is 11110312441. The next prime is 11110312459. The reversal of 11110312444 is 44421301111.

It is a super-3 number, since 3×111103124443 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110312441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3755814 + ... + 3758770.

It is an arithmetic number, because the mean of its divisors is an integer number (339647420).

Almost surely, 211110312444 is an apocalyptic number.

11110312444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110312444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12227307120).

11110312444 is an abundant number, since it is smaller than the sum of its proper divisors (13344301796).

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

11110312444 is a wasteful number, since it uses less digits than its factorization.

11110312444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 11110312444 its reverse (44421301111), we get a palindrome (55531613555).

The spelling of 11110312444 in words is "eleven billion, one hundred ten million, three hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 1109 1694 2218 2957 3388 4436 5914 7763 11828 12199 15526 20699 24398 31052 32527 41398 48796 65054 82796 85393 130108 134189 170786 227689 268378 341572 357797 455378 536756 715594 910756 939323 1431188 1878646 2504579 3279313 3757292 5009158 6558626 10018316 13117252 22955191 36072443 45910382 72144886 91820764 144289772 252507101 396796873 505014202 793593746 1010028404 1587187492 2777578111 5555156222 11110312444