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1020142434041 = 1782173091813
BaseRepresentation
bin11101101100001010011…
…10100011011011111001
310121112011110222002111122
432312011032203123321
5113203222430342131
62100351424435025
7133463036421353
oct16660516433371
93545143862448
101020142434041
113637048997a5
12145863778a75
1375278323673
14375376080d3
151b809c69d7b
hexed853a36f9

1020142434041 has 8 divisors (see below), whose sum is σ = 1081466479944. Its totient is φ = 958964573440.

The previous prime is 1020142434023. The next prime is 1020142434049. The reversal of 1020142434041 is 1404342410201.

It can be written as a sum of positive squares in 4 ways, for example, as 191139468025 + 829002966016 = 437195^2 + 910496^2 .

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 1020142434041 - 210 = 1020142433017 is a prime.

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 1020142434041.

It is not an unprimeable number, because it can be changed into a prime (1020142434049) 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, 36531950 + ... + 36559863.

It is an arithmetic number, because the mean of its divisors is an integer number (135183309993).

Almost surely, 21020142434041 is an apocalyptic number.

It is an amenable number.

1020142434041 is a deficient number, since it is larger than the sum of its proper divisors (61324045903).

1020142434041 is an equidigital number, since it uses as much as digits as its factorization.

1020142434041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73092651.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1020142434041 its reverse (1404342410201), we get a palindrome (2424484844242).

The spelling of 1020142434041 in words is "one trillion, twenty billion, one hundred forty-two million, four hundred thirty-four thousand, forty-one".

Divisors: 1 17 821 13957 73091813 1242560821 60008378473 1020142434041