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14238341838 = 234735335569
BaseRepresentation
bin11010100001010101…
…11101101011001110
31100202021221201010000
431100222331223032
5213130003414323
610312505025130
71012560623460
oct152052755316
940667851100
1014238341838
116047199a66
1229144851a6
13145bacc056
14990dda130
15585012e43
hex350abdace

14238341838 has 80 divisors (see below), whose sum is σ = 36566529120. Its totient is φ = 4056459264.

The previous prime is 14238341837. The next prime is 14238341839. The reversal of 14238341838 is 83814383241.

It is an interprime number because it is at equal distance from previous prime (14238341837) and next prime (14238341839).

It is a junction number, because it is equal to n+sod(n) for n = 14238341793 and 14238341802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14238341833) 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 39 ways as a sum of consecutive naturals, for example, 382518 + ... + 418086.

It is an arithmetic number, because the mean of its divisors is an integer number (457081614).

Almost surely, 214238341838 is an apocalyptic number.

14238341838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14238341838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18283264560).

14238341838 is an abundant number, since it is smaller than the sum of its proper divisors (22328187282).

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

14238341838 is a wasteful number, since it uses less digits than its factorization.

14238341838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35943 (or 35934 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 14238341838 in words is "fourteen billion, two hundred thirty-eight million, three hundred forty-one thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 353 378 567 706 1059 1134 2118 2471 3177 4942 6354 7413 9531 14826 19062 22239 28593 35569 44478 57186 66717 71138 106707 133434 200151 213414 248983 320121 400302 497966 640242 746949 960363 1493898 1920726 2240847 2881089 4481694 5762178 6722541 12555857 13445082 20167623 25111714 37667571 40335246 75335142 87890999 113002713 175781998 226005426 263672997 339008139 527345994 678016278 791018991 1017024417 1582037982 2034048834 2373056973 4746113946 7119170919 14238341838