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114304420132 = 22721015774117
BaseRepresentation
bin110101001110100010…
…0110000100100100100
3101221001001221011201221
41222131010300210210
53333043412421012
6124302152230124
711154366353200
oct1523504604444
9357031834657
10114304420132
1144526957721
121a1a039b344
13aa18206276
145764b3bb00
152e8ee51507
hex1a9d130924

114304420132 has 36 divisors (see below), whose sum is σ = 234995054364. Its totient is φ = 48502574400.

The previous prime is 114304420081. The next prime is 114304420171. The reversal of 114304420132 is 231024403411.

It can be written as a sum of positive squares in 2 ways, for example, as 59143321636 + 55161098496 = 243194^2 + 234864^2 .

It is a super-3 number, since 3×1143044201323 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114304420097 and 114304420106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2867263 + ... + 2906854.

It is an arithmetic number, because the mean of its divisors is an integer number (6527640399).

Almost surely, 2114304420132 is an apocalyptic number.

It is an amenable number.

114304420132 is an abundant number, since it is smaller than the sum of its proper divisors (120690634232).

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

114304420132 is a wasteful number, since it uses less digits than its factorization.

114304420132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774236 (or 5774227 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 114304420132 its reverse (231024403411), we get a palindrome (345328823543).

The spelling of 114304420132 in words is "one hundred fourteen billion, three hundred four million, four hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 101 196 202 404 707 1414 2828 4949 9898 19796 5774117 11548234 23096468 40418819 80837638 161675276 282931733 565863466 583185817 1131726932 1166371634 2332743268 4082300719 8164601438 16329202876 28576105033 57152210066 114304420132