Search a number
-
+
14332122016 = 252926957413
BaseRepresentation
bin11010101100100001…
…01101001110100000
31100222211102020022221
431112100231032200
5213323010401031
610330055040424
71015110012202
oct152620551640
940884366287
1014332122016
116095122443
12293b970114
131475375794
1499d64c772
1558d389a11
hex35642d3a0

14332122016 has 48 divisors (see below), whose sum is σ = 29298364200. Its totient is φ = 6893114368.

The previous prime is 14332121977. The next prime is 14332122019. The reversal of 14332122016 is 61022123341.

It can be written as a sum of positive squares in 4 ways, for example, as 5746246416 + 8585875600 = 75804^2 + 92660^2 .

It is not an unprimeable number, because it can be changed into a prime (14332122019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220926 + ... + 278338.

Almost surely, 214332122016 is an apocalyptic number.

14332122016 is a gapful number since it is divisible by the number (16) 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 14332122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14649182100).

14332122016 is an abundant number, since it is smaller than the sum of its proper divisors (14966242184).

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

14332122016 is a wasteful number, since it uses less digits than its factorization.

14332122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57721 (or 57713 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 14332122016 its reverse (61022123341), we get a palindrome (75354245357).

The spelling of 14332122016 in words is "fourteen billion, three hundred thirty-two million, one hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 116 232 269 464 538 928 1076 2152 4304 7801 8608 15602 31204 57413 62408 114826 124816 229652 249632 459304 918608 1664977 1837216 3329954 6659908 13319816 15444097 26639632 30888194 53279264 61776388 123552776 247105552 447878813 494211104 895757626 1791515252 3583030504 7166061008 14332122016