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34142921281 = 76189898427
BaseRepresentation
bin11111110011000100…
…111010001001000001
310021010110221002222001
4133303010322021001
51024411041440111
623403545144001
72316044020360
oct376304721101
9107113832861
1034142921281
1113530875117
12674a48b001
1332b17a7701
14191c7637d7
15d4c6d11c1
hex7f313a241

34142921281 has 16 divisors (see below), whose sum is σ = 40105825920. Its totient is φ = 28462135680.

The previous prime is 34142921243. The next prime is 34142921291. The reversal of 34142921281 is 18212924143.

It is a cyclic number.

It is not a de Polignac number, because 34142921281 - 211 = 34142919233 is a prime.

It is a super-2 number, since 2×341429212812 (a number of 22 digits) contains 22 as substring.

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 34142921281.

It is not an unprimeable number, because it can be changed into a prime (34142921231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411211 + ... + 487216.

It is an arithmetic number, because the mean of its divisors is an integer number (2506614120).

Almost surely, 234142921281 is an apocalyptic number.

It is an amenable number.

34142921281 is a deficient number, since it is larger than the sum of its proper divisors (5962904639).

34142921281 is an equidigital number, since it uses as much as digits as its factorization.

34142921281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898584.

The product of its digits is 27648, while the sum is 37.

The spelling of 34142921281 in words is "thirty-four billion, one hundred forty-two million, nine hundred twenty-one thousand, two hundred eighty-one".

Divisors: 1 7 61 89 427 623 5429 38003 898427 6288989 54804047 79960003 383628329 559720021 4877560183 34142921281