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34216041345 = 3517939127157
BaseRepresentation
bin11111110111011011…
…110101101110000001
310021022120111222211120
4133313123311232001
51030033301310340
623415120302453
72320622360403
oct376733655601
9107276458746
1034216041345
1113569077322
12676aa71a29
1332c3999415
141928358b73
15d53d264d0
hex7f76f5b81

34216041345 has 16 divisors (see below), whose sum is σ = 54749148480. Its totient is φ = 18247394624.

The previous prime is 34216041269. The next prime is 34216041359. The reversal of 34216041345 is 54314061243.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34216041345 - 27 = 34216041217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205507 + ... + 332663.

It is an arithmetic number, because the mean of its divisors is an integer number (3421821780).

Almost surely, 234216041345 is an apocalyptic number.

It is an amenable number.

34216041345 is a deficient number, since it is larger than the sum of its proper divisors (20533107135).

34216041345 is a wasteful number, since it uses less digits than its factorization.

34216041345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145104.

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 34216041345 in words is "thirty-four billion, two hundred sixteen million, forty-one thousand, three hundred forty-five".

Divisors: 1 3 5 15 17939 53817 89695 127157 269085 381471 635785 1907355 2281069423 6843208269 11405347115 34216041345