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114302230432 = 2513877313301
BaseRepresentation
bin110101001110011110…
…0011001111110100000
3101221000220210221000221
41222130330121332200
53333042332333212
6124302033252424
711154341633215
oct1523474317640
9357026727027
10114302230432
11445256a1555
121a19b704114
13aa1791a6a0
14576472bb0c
152e8eb6c807
hex1a9cf19fa0

114302230432 has 48 divisors (see below), whose sum is σ = 242619815592. Its totient is φ = 52694553600.

The previous prime is 114302230391. The next prime is 114302230453. The reversal of 114302230432 is 234032203411.

It can be written as a sum of positive squares in 4 ways, for example, as 74811002256 + 39491228176 = 273516^2 + 198724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114302230397 and 114302230406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208182 + ... + 521482.

Almost surely, 2114302230432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114302230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121309907796).

114302230432 is an abundant number, since it is smaller than the sum of its proper divisors (128317585160).

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

114302230432 is a wasteful number, since it uses less digits than its factorization.

114302230432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314201 (or 314193 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 114302230432 its reverse (234032203411), we get a palindrome (348334433843).

The spelling of 114302230432 in words is "one hundred fourteen billion, three hundred two million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 877 1754 3508 7016 11401 14032 22802 28064 45604 91208 182416 313301 364832 626602 1253204 2506408 4072913 5012816 8145826 10025632 16291652 32583304 65166608 130333216 274764977 549529954 1099059908 2198119816 3571944701 4396239632 7143889402 8792479264 14287778804 28575557608 57151115216 114302230432