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45131316306224 = 2431232973905677
BaseRepresentation
bin10100100001011111101000…
…00100111010000100110000
312220210111211000211200000212
422100233310010322010300
521403412413433244344
6235553012425003252
712335426043016541
oct1220576404720460
9186714730750025
1045131316306224
11134200a1536045
12508a902623528
131c24b3215a575
14b205200944c8
15533e80b1379e
hex290bf413a130

45131316306224 has 40 divisors (see below), whose sum is σ = 90266530155648. Its totient is φ = 21836790743040.

The previous prime is 45131316306187. The next prime is 45131316306247. The reversal of 45131316306224 is 42260361313154.

It is a happy number.

It is a super-3 number, since 3×451313163062243 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9602474 + ... + 13508150.

Almost surely, 245131316306224 is an apocalyptic number.

It is an amenable number.

45131316306224 is an abundant number, since it is smaller than the sum of its proper divisors (45135213849424).

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

45131316306224 is a wasteful number, since it uses less digits than its factorization.

45131316306224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929013 (or 3929007 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

Adding to 45131316306224 its reverse (42260361313154), we get a palindrome (87391677619378).

The spelling of 45131316306224 in words is "forty-five trillion, one hundred thirty-one billion, three hundred sixteen million, three hundred six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 23297 46594 93188 186376 372752 722207 1444414 2888828 3905677 5777656 7811354 11555312 15622708 31245416 62490832 121075987 242151974 484303948 968607896 1937215792 90990557069 181981114138 363962228276 727924456552 1455848913104 2820707269139 5641414538278 11282829076556 22565658153112 45131316306224