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314033342304 = 25311297380059
BaseRepresentation
bin1001001000111011101…
…10001000011101100000
31010000120112010200100210
410210131312020131200
520121120013423204
6400133120214120
731455016236633
oct4443566103540
91100515120323
10314033342304
111111a96a9060
1250a4116a340
13237c8312b56
14112b0c17c1a
15827e6cb389
hex491dd88760

314033342304 has 48 divisors (see below), whose sum is σ = 899277301440. Its totient is φ = 95161618560.

The previous prime is 314033342297. The next prime is 314033342383. The reversal of 314033342304 is 403243330413.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 148688974 + ... + 148691085.

It is an arithmetic number, because the mean of its divisors is an integer number (18734943780).

Almost surely, 2314033342304 is an apocalyptic number.

It is an amenable number.

314033342304 is an abundant number, since it is smaller than the sum of its proper divisors (585243959136).

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

314033342304 is a wasteful number, since it uses less digits than its factorization.

314033342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297380083 (or 297380075 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 314033342304 its reverse (403243330413), we get a palindrome (717276672717).

The spelling of 314033342304 in words is "three hundred fourteen billion, thirty-three million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 297380059 594760118 892140177 1189520236 1784280354 2379040472 3271180649 3568560708 4758080944 6542361298 7137121416 9516161888 9813541947 13084722596 14274242832 19627083894 26169445192 28548485664 39254167788 52338890384 78508335576 104677780768 157016671152 314033342304