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14226311088 = 24321189100913
BaseRepresentation
bin11010011111111010…
…00100011110110000
31100201110022111000200
431033331010132300
5213113413423323
610311355115200
71012353435423
oct151775043660
940643274020
1014226311088
1160404220a0
122910442b00
131459479072
1498d5879ba
15583e38443
hex34ff447b0

14226311088 has 120 divisors (see below), whose sum is σ = 43921809360. Its totient is φ = 4262522880.

The previous prime is 14226311083. The next prime is 14226311107. The reversal of 14226311088 is 88011362241.

14226311088 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 631 + 10 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14226311083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90520 + ... + 191432.

It is an arithmetic number, because the mean of its divisors is an integer number (366015078).

Almost surely, 214226311088 is an apocalyptic number.

14226311088 is a gapful number since it is divisible by the number (18) 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 14226311088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21960904680).

14226311088 is an abundant number, since it is smaller than the sum of its proper divisors (29695498272).

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

14226311088 is a wasteful number, since it uses less digits than its factorization.

14226311088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101027 (or 101018 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

It can be divided in two parts, 142263 and 11088, that added together give a palindrome (153351).

The spelling of 14226311088 in words is "fourteen billion, two hundred twenty-six million, three hundred eleven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 89 99 132 144 176 178 198 264 267 356 396 528 534 712 792 801 979 1068 1424 1584 1602 1958 2136 2937 3204 3916 4272 5874 6408 7832 8811 11748 12816 15664 17622 23496 35244 46992 70488 100913 140976 201826 302739 403652 605478 807304 908217 1110043 1210956 1614608 1816434 2220086 2421912 3330129 3632868 4440172 4843824 6660258 7265736 8880344 8981257 9990387 13320516 14531472 17760688 17962514 19980774 26641032 26943771 35925028 39961548 53282064 53887542 71850056 79923096 80831313 98793827 107775084 143700112 159846192 161662626 197587654 215550168 296381481 323325252 395175308 431100336 592762962 646650504 790350616 889144443 1185525924 1293301008 1580701232 1778288886 2371051848 3556577772 4742103696 7113155544 14226311088