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34214005241 = 134216251417
BaseRepresentation
bin11111110111010100…
…000100100111111001
310021022102200112211022
4133313110010213321
51030032241131431
623415004512225
72320566150263
oct376724044771
9107272615738
1034214005241
1113567a06599
12676a24b675
1332c3435720
141927d88b33
15d53a7307b
hex7f75049f9

34214005241 has 8 divisors (see below), whose sum is σ = 36933377544. Its totient is φ = 31507136640.

The previous prime is 34214005229. The next prime is 34214005271. The reversal of 34214005241 is 14250041243.

It can be written as a sum of positive squares in 4 ways, for example, as 1436713216 + 32777292025 = 37904^2 + 181045^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34214005241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34214005241.

It is not an unprimeable number, because it can be changed into a prime (34214005271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3120236 + ... + 3131181.

It is an arithmetic number, because the mean of its divisors is an integer number (4616672193).

Almost surely, 234214005241 is an apocalyptic number.

It is an amenable number.

34214005241 is a deficient number, since it is larger than the sum of its proper divisors (2719372303).

34214005241 is a wasteful number, since it uses less digits than its factorization.

34214005241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6251851.

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 34214005241 its reverse (14250041243), we get a palindrome (48464046484).

The spelling of 34214005241 in words is "thirty-four billion, two hundred fourteen million, five thousand, two hundred forty-one".

Divisors: 1 13 421 5473 6251417 81268421 2631846557 34214005241