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34225201314 = 2326131170493
BaseRepresentation
bin11111110111111110…
…110010000010100010
310021100012202100221200
4133313332302002202
51030043122420224
623420044502030
72321063261013
oct376776620242
9107305670850
1034225201314
1113573263347
126771b4a916
1332c5855815
14192966100a
15d54a355c9
hex7f7fb20a2

34225201314 has 24 divisors (see below), whose sum is σ = 75370254492. Its totient is φ = 11221377120.

The previous prime is 34225201303. The next prime is 34225201321. The reversal of 34225201314 is 41310252243.

34225201314 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 520 + 131 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29767636089 + 4457565225 = 172533^2 + 66765^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15584149 + ... + 15586344.

Almost surely, 234225201314 is an apocalyptic number.

34225201314 is an abundant number, since it is smaller than the sum of its proper divisors (41145053178).

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

34225201314 is a wasteful number, since it uses less digits than its factorization.

34225201314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31170562 (or 31170559 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34225201314 its reverse (41310252243), we get a palindrome (75535453557).

The spelling of 34225201314 in words is "thirty-four billion, two hundred twenty-five million, two hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 31170493 62340986 93511479 187022958 280534437 561068874 1901400073 3802800146 5704200219 11408400438 17112600657 34225201314