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314022332241 = 3250968548861
BaseRepresentation
bin1001001000111010011…
…00001000011101010001
31010000112202102022101200
410210131030020131101
520121104204112431
6400132044221413
731454523532422
oct4443514103521
91100482368350
10314022332241
111111a3469032
1250a3953a869
13237c5c59617
14112ad58d649
15827d753ee6
hex491d308751

314022332241 has 12 divisors (see below), whose sum is σ = 454478955060. Its totient is φ = 208936925280.

The previous prime is 314022332237. The next prime is 314022332251. The reversal of 314022332241 is 142233220413.

314022332241 is a `hidden beast` number, since 3 + 1 + 402 + 2 + 33 + 224 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112708589841 + 201313742400 = 335721^2 + 448680^2 .

It is not a de Polignac number, because 314022332241 - 22 = 314022332237 is a prime.

It is a super-2 number, since 2×3140223322412 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314022332201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34269850 + ... + 34279011.

It is an arithmetic number, because the mean of its divisors is an integer number (37873246255).

Almost surely, 2314022332241 is an apocalyptic number.

It is an amenable number.

314022332241 is a deficient number, since it is larger than the sum of its proper divisors (140456622819).

314022332241 is a wasteful number, since it uses less digits than its factorization.

314022332241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68549376 (or 68549373 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 314022332241 its reverse (142233220413), we get a palindrome (456255552654).

The spelling of 314022332241 in words is "three hundred fourteen billion, twenty-two million, three hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 9 509 1527 4581 68548861 205646583 616939749 34891370249 104674110747 314022332241