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1014012414241 = 1773817093001
BaseRepresentation
bin11101100000101111101…
…10011000100100100001
310120221100021020211012021
432300113312120210201
5113103144134223431
62053455245101441
7133155113210461
oct16602766304441
93527307224167
101014012414241
11361049633132
12144632857881
137480c333108
1437115431ba1
151b59b9ecb11
hexec17d98921

1014012414241 has 8 divisors (see below), whose sum is σ = 1088367878664. Its totient is φ = 941291136000.

The previous prime is 1014012414221. The next prime is 1014012414281. The reversal of 1014012414241 is 1424142104101.

It can be written as a sum of positive squares in 4 ways, for example, as 590476980625 + 423535433616 = 768425^2 + 650796^2 .

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 1014012414241 - 25 = 1014012414209 is a prime.

It is a super-2 number, since 2×10140124142412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1014012414211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408545260 + ... + 408547741.

It is an arithmetic number, because the mean of its divisors is an integer number (136045984833).

Almost surely, 21014012414241 is an apocalyptic number.

It is an amenable number.

1014012414241 is a deficient number, since it is larger than the sum of its proper divisors (74355464423).

1014012414241 is an equidigital number, since it uses as much as digits as its factorization.

1014012414241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817093091.

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 1014012414241 its reverse (1424142104101), we get a palindrome (2438154518342).

The spelling of 1014012414241 in words is "one trillion, fourteen billion, twelve million, four hundred fourteen thousand, two hundred forty-one".

Divisors: 1 17 73 1241 817093001 13890581017 59647789073 1014012414241