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1004240212441 = 171971070928001
BaseRepresentation
bin11101001110100010110…
…00011001000111011001
310120000010020010112110021
432213101120121013121
5112423140443244231
62045201440550441
7132361002651304
oct16472130310731
93500106115407
101004240212441
113579944682a4
12142766022421
13739128b399b
1436869649b3b
151b1c8b3a811
hexe9d16191d9

1004240212441 has 16 divisors (see below), whose sum is σ = 1068848660880. Its totient is φ = 940248064000.

The previous prime is 1004240212433. The next prime is 1004240212471. The reversal of 1004240212441 is 1442120424001.

It is a happy number.

1004240212441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 577302118416 + 426938094025 = 759804^2 + 653405^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004240212441 - 23 = 1004240212433 is a prime.

It is a super-2 number, since 2×10042402124412 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1004240212411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35850441 + ... + 35878441.

It is an arithmetic number, because the mean of its divisors is an integer number (66803041305).

Almost surely, 21004240212441 is an apocalyptic number.

It is an amenable number.

1004240212441 is a deficient number, since it is larger than the sum of its proper divisors (64608448439).

1004240212441 is a wasteful number, since it uses less digits than its factorization.

1004240212441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38924.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 1004240212441 its reverse (1442120424001), we get a palindrome (2446360636442).

The spelling of 1004240212441 in words is "one trillion, four billion, two hundred forty million, two hundred twelve thousand, four hundred forty-one".

Divisors: 1 17 197 3349 10709 28001 182053 476017 2109673 5516197 35864441 93775349 299862709 5097666053 59072953673 1004240212441