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242975040001 = 3753123903641
BaseRepresentation
bin1110001001001001110…
…0001110001000000001
3212020011100101220122121
43202102130032020001
512440103102240001
6303342102204241
723361101522551
oct3422234161001
9766140356577
10242975040001
1194055091891
123b10ba23681
1319bb2857025
14ba8d839161
1564c121e6a1
hex389270e201

242975040001 has 8 divisors (see below), whose sum is σ = 254250273384. Its totient is φ = 231947614080.

The previous prime is 242975039977. The next prime is 242975040023. The reversal of 242975040001 is 100040579242.

It can be written as a sum of positive squares in 4 ways, for example, as 96519576976 + 146455463025 = 310676^2 + 382695^2 .

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 242975040001 - 25 = 242975039969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242975040601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61949860 + ... + 61953781.

It is an arithmetic number, because the mean of its divisors is an integer number (31781284173).

Almost surely, 2242975040001 is an apocalyptic number.

It is an amenable number.

242975040001 is a deficient number, since it is larger than the sum of its proper divisors (11275233383).

242975040001 is a wasteful number, since it uses less digits than its factorization.

242975040001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123903731.

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 242975040001 in words is "two hundred forty-two billion, nine hundred seventy-five million, forty thousand, one".

Divisors: 1 37 53 1961 123903641 4584434717 6566892973 242975040001