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313442211250304 = 2713717874213689
BaseRepresentation
bin100011101000100101111001…
…1101010001100000010000000
31112002210210010121221011210022
41013101023303222030002000
5312040414122040002204
63030345210342353012
7123010311123040253
oct10721136352140200
91462723117834708
10313442211250304
1190966105913744
122b1a324a42b768
13105b8620921146
145758980b5709a
1526385405b65be
hex11d12f3a8c080

313442211250304 has 32 divisors (see below), whose sum is σ = 628993579751100. Its totient is φ = 155577155940352.

The previous prime is 313442211250297. The next prime is 313442211250313. The reversal of 313442211250304 is 403052112244313.

It can be written as a sum of positive squares in 2 ways, for example, as 260220517347904 + 53221693902400 = 16131352^2 + 7295320^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 8937089309 + ... + 8937124380.

Almost surely, 2313442211250304 is an apocalyptic number.

It is an amenable number.

313442211250304 is an abundant number, since it is smaller than the sum of its proper divisors (315551368500796).

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

313442211250304 is a wasteful number, since it uses less digits than its factorization.

313442211250304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17874213840 (or 17874213828 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 313442211250304 its reverse (403052112244313), we get a palindrome (716494323494617).

The spelling of 313442211250304 in words is "three hundred thirteen trillion, four hundred forty-two billion, two hundred eleven million, two hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 1096 2192 4384 8768 17536 17874213689 35748427378 71496854756 142993709512 285987419024 571974838048 1143949676096 2287899352192 2448767275393 4897534550786 9795069101572 19590138203144 39180276406288 78360552812576 156721105625152 313442211250304