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42134444129 = 411213847213
BaseRepresentation
bin100111001111011010…
…001001100001100001
311000202102101112101202
4213033122021201201
51142242404203004
631204543210545
73021062602661
oct471732114141
9130672345352
1042134444129
1116961882558
1281ba8a6a55
133c8634015b
142079c621a1
1511690a4b1e
hex9cf689861

42134444129 has 8 divisors (see below), whose sum is σ = 43197747432. Its totient is φ = 41072837760.

The previous prime is 42134444113. The next prime is 42134444141. The reversal of 42134444129 is 92144443124.

It can be written as a sum of positive squares in 4 ways, for example, as 814531600 + 41319912529 = 28540^2 + 203273^2 .

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 42134444129 - 24 = 42134444113 is a prime.

It is a super-2 number, since 2×421344441292 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42134444092 and 42134444101.

It is not an unprimeable number, because it can be changed into a prime (42134444159) 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 7 ways as a sum of consecutive naturals, for example, 373874 + ... + 473339.

It is an arithmetic number, because the mean of its divisors is an integer number (5399718429).

Almost surely, 242134444129 is an apocalyptic number.

It is an amenable number.

42134444129 is a deficient number, since it is larger than the sum of its proper divisors (1063303303).

42134444129 is a wasteful number, since it uses less digits than its factorization.

42134444129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848467.

The product of its digits is 110592, while the sum is 38.

The spelling of 42134444129 in words is "forty-two billion, one hundred thirty-four million, four hundred forty-four thousand, one hundred twenty-nine".

Divisors: 1 41 1213 49733 847213 34735733 1027669369 42134444129