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114450230304 = 2532577688729
BaseRepresentation
bin110101010010111000…
…0111110110000100000
3101221102020022002200200
41222211300332300200
53333343224332204
6124324441345200
711161116622554
oct1524560766040
9357366262620
10114450230304
11445a1197aa3
121a221198200
13aa3c499087
14577a255864
152e9cb54539
hex1aa5c3ec20

114450230304 has 72 divisors (see below), whose sum is σ = 326032384860. Its totient is φ = 38083903488.

The previous prime is 114450230281. The next prime is 114450230339. The reversal of 114450230304 is 403032054411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 112613936400 + 1836293904 = 335580^2 + 42852^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178189 + ... + 510540.

Almost surely, 2114450230304 is an apocalyptic number.

It is an amenable number.

114450230304 is an abundant number, since it is smaller than the sum of its proper divisors (211582154556).

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

114450230304 is a wasteful number, since it uses less digits than its factorization.

114450230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689322 (or 689311 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 114450230304 its reverse (403032054411), we get a palindrome (517482284715).

The spelling of 114450230304 in words is "one hundred fourteen billion, four hundred fifty million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 577 1154 1731 2308 3462 4616 5193 6924 9232 10386 13848 18464 20772 27696 41544 55392 83088 166176 688729 1377458 2066187 2754916 4132374 5509832 6198561 8264748 11019664 12397122 16529496 22039328 24794244 33058992 49588488 66117984 99176976 198353952 397396633 794793266 1192189899 1589586532 2384379798 3179173064 3576569697 4768759596 6358346128 7153139394 9537519192 12716692256 14306278788 19075038384 28612557576 38150076768 57225115152 114450230304