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313114310443040 = 25514891314281021
BaseRepresentation
bin100011100110001101001101…
…1001111111000000000100000
31112001122102202122201021202012
41013030122123033320000200
5312020031101433134130
63025534421202212052
7122644522335131321
oct10714323317700040
91461572678637665
10313114310443040
119084a04040aa47
122b14b799054028
13105937255c4a32
145746b562c6448
15262ec4d736995
hex11cc69b3f8020

313114310443040 has 48 divisors (see below), whose sum is σ = 740229357210840. Its totient is φ = 125161610096640.

The previous prime is 313114310443003. The next prime is 313114310443073. The reversal of 313114310443040 is 40344013411313.

It can be written as a sum of positive squares in 4 ways, for example, as 243368361671824 + 69745948771216 = 15600268^2 + 8351404^2 .

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 = 313114310442988 and 313114310443006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 656902271 + ... + 657378750.

Almost surely, 2313114310443040 is an apocalyptic number.

It is an amenable number.

313114310443040 is an abundant number, since it is smaller than the sum of its proper divisors (427115046767800).

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

313114310443040 is a wasteful number, since it uses less digits than its factorization.

313114310443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314282525 (or 1314282517 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 313114310443040 its reverse (40344013411313), we get a palindrome (353458323854353).

The spelling of 313114310443040 in words is "three hundred thirteen trillion, one hundred fourteen billion, three hundred ten million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1489 2978 5956 7445 11912 14890 23824 29780 47648 59560 119120 238240 1314281021 2628562042 5257124084 6571405105 10514248168 13142810210 21028496336 26285620420 42056992672 52571240840 105142481680 210284963360 1956964440269 3913928880538 7827857761076 9784822201345 15655715522152 19569644402690 31311431044304 39139288805380 62622862088608 78278577610760 156557155221520 313114310443040