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314322214104 = 233214029311183
BaseRepresentation
bin1001001001011110001…
…00000101110011011000
31010001022122200212222100
410210233010011303120
520122212441322404
6400221515523400
731465124510523
oct4445704056330
91101278625870
10314322214104
11111337771788
1250b01a59560
1323843115702
14112db331bba
158299c3cd39
hex492f105cd8

314322214104 has 48 divisors (see below), whose sum is σ = 851352746400. Its totient is φ = 104766266304.

The previous prime is 314322214099. The next prime is 314322214159. The reversal of 314322214104 is 401412223413.

314322214104 is a `hidden beast` number, since 3 + 1 + 432 + 2 + 214 + 10 + 4 = 666.

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 11 ways as a sum of consecutive naturals, for example, 854497 + ... + 1165679.

It is an arithmetic number, because the mean of its divisors is an integer number (17736515550).

Almost surely, 2314322214104 is an apocalyptic number.

It is an amenable number.

314322214104 is an abundant number, since it is smaller than the sum of its proper divisors (537030532296).

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

314322214104 is a wasteful number, since it uses less digits than its factorization.

314322214104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325224 (or 325217 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 314322214104 its reverse (401412223413), we get a palindrome (715734437517).

The spelling of 314322214104 in words is "three hundred fourteen billion, three hundred twenty-two million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14029 28058 42087 56116 84174 112232 126261 168348 252522 311183 336696 505044 622366 933549 1010088 1244732 1867098 2489464 2800647 3734196 5601294 7468392 11202588 22405176 4365586307 8731172614 13096758921 17462345228 26193517842 34924690456 39290276763 52387035684 78580553526 104774071368 157161107052 314322214104