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314522225441 = 192322330710513
BaseRepresentation
bin1001001001110101111…
…11000100101100100001
31010001211121001111221122
410210322333010230201
520123120142203231
6400253422502025
731503103543124
oct4447277045441
91101747044848
10314522225441
1111142a662206
1250b58a34915
13238756a4c08
1411319b183bb
1582ac59a77b
hex493afc4b21

314522225441 has 32 divisors (see below), whose sum is σ = 348183306240. Its totient is φ = 282784068864.

The previous prime is 314522225401. The next prime is 314522225461. The reversal of 314522225441 is 144522225413.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314522225441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314522225401) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29912201 + ... + 29922713.

It is an arithmetic number, because the mean of its divisors is an integer number (10880728320).

Almost surely, 2314522225441 is an apocalyptic number.

It is an amenable number.

314522225441 is a deficient number, since it is larger than the sum of its proper divisors (33661080799).

314522225441 is a wasteful number, since it uses less digits than its factorization.

314522225441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11085.

The product of its digits is 76800, while the sum is 35.

The spelling of 314522225441 in words is "three hundred fourteen billion, five hundred twenty-two million, two hundred twenty-five thousand, four hundred forty-one".

Divisors: 1 19 23 223 307 437 4237 5129 5833 7061 10513 68461 97451 134159 199747 241799 1300759 1574603 2344399 3227491 4594181 29917457 44543581 53921177 61322329 74232293 719730493 1024502363 1410413567 13674879367 16553801339 314522225441