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313223241122240 = 2654212324994367
BaseRepresentation
bin100011100110111111111100…
…0000001011100000111000000
31112002000211221020000010202012
41013031333320001130013000
5312023322144211402430
63030100434232512052
7122655426623463401
oct10715777001340700
91462024836003665
10313223241122240
119089125999a559
122b16891984b628
13105a0a953c3127
14574c12b4759a8
1526329c6a08695
hex11cdff805c1c0

313223241122240 has 56 divisors (see below), whose sum is σ = 747634488951552. Its totient is φ = 124991697116160.

The previous prime is 313223241122237. The next prime is 313223241122287. The reversal of 313223241122240 is 42221142322313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 313223241122197 and 313223241122206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1162362464 + ... + 1162631903.

Almost surely, 2313223241122240 is an apocalyptic number.

It is an amenable number.

313223241122240 is an abundant number, since it is smaller than the sum of its proper divisors (434411247829312).

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

313223241122240 is a wasteful number, since it uses less digits than its factorization.

313223241122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324994805 (or 2324994795 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 313223241122240 its reverse (42221142322313), we get a palindrome (355444383444553).

The spelling of 313223241122240 in words is "three hundred thirteen trillion, two hundred twenty-three billion, two hundred forty-one million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 421 842 1684 2105 3368 4210 6736 8420 13472 16840 26944 33680 67360 134720 2324994367 4649988734 9299977468 11624971835 18599954936 23249943670 37199909872 46499887340 74399819744 92999774680 148799639488 185999549360 371999098720 743998197440 978822628507 1957645257014 3915290514028 4894113142535 7830581028056 9788226285070 15661162056112 19576452570140 31322324112224 39152905140280 62644648224448 78305810280560 156611620561120 313223241122240