Search a number
-
+
14414033322 = 2331327919993
BaseRepresentation
bin11010110110010010…
…01011000110101010
31101012112112202112000
431123021023012222
5214004443031242
610342142431430
71020123155523
oct153311130652
941175482460
1014414033322
116127389637
122963292576
131489324b00
149aa49184a
15595669a4c
hex35b24b1aa

14414033322 has 96 divisors (see below), whose sum is σ = 35125459200. Its totient is φ = 4378727808.

The previous prime is 14414033317. The next prime is 14414033341. The reversal of 14414033322 is 22333041441.

14414033322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710958 + ... + 730950.

It is an arithmetic number, because the mean of its divisors is an integer number (365890200).

Almost surely, 214414033322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14414033322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17562729600).

14414033322 is an abundant number, since it is smaller than the sum of its proper divisors (20711425878).

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

14414033322 is a wasteful number, since it uses less digits than its factorization.

14414033322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20109 (or 20090 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14414033322 its reverse (22333041441), we get a palindrome (36747074763).

The spelling of 14414033322 in words is "fourteen billion, four hundred fourteen million, thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 117 158 169 234 237 338 351 474 507 702 711 1014 1027 1422 1521 2054 2133 3042 3081 4266 4563 6162 9126 9243 13351 18486 19993 26702 27729 39986 40053 55458 59979 80106 119958 120159 179937 240318 259909 359874 360477 519818 539811 720954 779727 1079622 1559454 1579447 2339181 3158894 3378817 4678362 4738341 6757634 7017543 9476682 10136451 14035086 14215023 20272902 20532811 28430046 30409353 41065622 42645069 60818706 61598433 85290138 91228059 123196866 182456118 184795299 266926543 369590598 533853086 554385897 800779629 1108771794 1601559258 2402338887 4804677774 7207016661 14414033322