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114229804441 = 137224672
BaseRepresentation
bin110101001100010100…
…0000111110110011001
3101220211212112022020211
41222120220013312121
53332420312220231
6124250525051121
711152502213554
oct1523050076631
9356755468224
10114229804441
1144498823865
121a17b3b6aa1
13aa0590c87c
145758c7769b
152e88612eb1
hex1a98a07d99

114229804441 has 9 divisors (see below), whose sum is σ = 115116347199. Its totient is φ = 113350045104.

The previous prime is 114229804399. The next prime is 114229804453. The reversal of 114229804441 is 144408922411.

The square root of 114229804441 is 337979.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 67099131225 + 47130673216 = 259035^2 + 217096^2 .

It is not a de Polignac number, because 114229804441 - 227 = 114095586713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114229804394 and 114229804403.

It is not an unprimeable number, because it can be changed into a prime (114229804541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46301890 + ... + 46304356.

Almost surely, 2114229804441 is an apocalyptic number.

114229804441 is the 337979-th square number.

114229804441 is the 168990-th centered octagonal number.

It is an amenable number.

114229804441 is a deficient number, since it is larger than the sum of its proper divisors (886542758).

114229804441 is an frugal number, since it uses more digits than its factorization.

114229804441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 114229804441 in words is "one hundred fourteen billion, two hundred twenty-nine million, eight hundred four thousand, four hundred forty-one".

Divisors: 1 137 2467 18769 337979 6086089 46303123 833794193 114229804441