Search a number
-
+
114320134322112 = 26319461172139499
BaseRepresentation
bin11001111111100100111010…
…111111110011011111000000
3112222202220020201110001100010
4121333210322333303133000
5104441010113341301422
61043045540015224520
733036233333414025
oct3177447277633700
9488686221401303
10114320134322112
1133475995561294
12109a4011818140
134ba345b373254
1420331a447154c
15d33ae07cbb0c
hex67f93aff37c0

114320134322112 has 224 divisors, whose sum is σ = 319275744480000. Its totient is φ = 36000941875200.

The previous prime is 114320134322099. The next prime is 114320134322113. The reversal of 114320134322112 is 211223431023411.

It is a super-2 number, since 2×1143201343221122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114320134322112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114320134322113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2894234139 + ... + 2894273637.

It is an arithmetic number, because the mean of its divisors is an integer number (1425338145000).

Almost surely, 2114320134322112 is an apocalyptic number.

114320134322112 is a gapful number since it is divisible by the number (12) 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 114320134322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159637872240000).

114320134322112 is an abundant number, since it is smaller than the sum of its proper divisors (204955610157888).

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

114320134322112 is a wasteful number, since it uses less digits than its factorization.

114320134322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41715 (or 41705 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 114320134322112 its reverse (211223431023411), we get a palindrome (325543565345523).

The spelling of 114320134322112 in words is "one hundred fourteen trillion, three hundred twenty billion, one hundred thirty-four million, three hundred twenty-two thousand, one hundred twelve".