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34214027643 = 341967449739
BaseRepresentation
bin11111110111010100…
…001010000101111011
310021022102201200120000
4133313110022011323
51030032242341033
623415005204043
72320566302505
oct376724120573
9107272650500
1034214027643
1113567a21404
12676a260623
1332c3442993
141927d92d75
15d53a79a13
hex7f750a17b

34214027643 has 80 divisors (see below), whose sum is σ = 54798480000. Its totient is φ = 21210190848.

The previous prime is 34214027633. The next prime is 34214027647. The reversal of 34214027643 is 34672041243.

34214027643 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 4 + 0 + 2 + 7 + 643 = 666.

It is not a de Polignac number, because 34214027643 - 28 = 34214027387 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34214027598 and 34214027607.

It is not an unprimeable number, because it can be changed into a prime (34214027647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46297368 + ... + 46298106.

It is an arithmetic number, because the mean of its divisors is an integer number (684981000).

Almost surely, 234214027643 is an apocalyptic number.

34214027643 is a deficient number, since it is larger than the sum of its proper divisors (20584452357).

34214027643 is a wasteful number, since it uses less digits than its factorization.

34214027643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 34214027643 its reverse (34672041243), we get a palindrome (68886068886).

The spelling of 34214027643 in words is "thirty-four billion, two hundred fourteen million, twenty-seven thousand, six hundred forty-three".

Divisors: 1 3 9 19 27 57 67 81 171 201 449 513 603 739 1273 1347 1539 1809 2217 3819 4041 5427 6651 8531 11457 12123 14041 19953 25593 30083 34371 36369 42123 49513 59859 76779 90249 103113 126369 148539 230337 270747 331811 379107 445617 571577 691011 812241 940747 995433 1137321 1336851 1714731 2436723 2822241 2986299 4010553 5144193 6304409 8466723 8958897 15432579 18913227 22231337 25400169 26876691 46297737 56739681 66694011 76200507 170219043 200082033 422395403 510657129 600246099 1267186209 1800738297 3801558627 11404675881 34214027643