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34042003141 = 173517569369
BaseRepresentation
bin11111101101000011…
…111011111011000101
310020212110000221022011
4133231003323323011
51024204223100031
623345542134221
72313410152366
oct375503737305
9106773027264
1034042003141
11134899068a3
126720721371
133296902033
14190d1b3b6d
15d438e96b1
hex7ed0fbec5

34042003141 has 8 divisors (see below), whose sum is σ = 36054785880. Its totient is φ = 32030366208.

The previous prime is 34042003129. The next prime is 34042003147. The reversal of 34042003141 is 14130024043.

It can be written as a sum of positive squares in 4 ways, for example, as 10913980900 + 23128022241 = 104470^2 + 152079^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 34042003141 - 225 = 34008448709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34042003147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 224896 + ... + 344473.

It is an arithmetic number, because the mean of its divisors is an integer number (4506848235).

Almost surely, 234042003141 is an apocalyptic number.

It is an amenable number.

34042003141 is a deficient number, since it is larger than the sum of its proper divisors (2012782739).

34042003141 is a wasteful number, since it uses less digits than its factorization.

34042003141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572903.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34042003141 its reverse (14130024043), we get a palindrome (48172027184).

The spelling of 34042003141 in words is "thirty-four billion, forty-two million, three thousand, one hundred forty-one".

Divisors: 1 17 3517 59789 569369 9679273 2002470773 34042003141