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4144413131041 = 73224881252457
BaseRepresentation
bin111100010011110010010…
…001011100000100100001
3112200012110021110212101011
4330103302101130010201
51020400224230143131
612451530032340521
7605265264240511
oct74236221340441
915605407425334
104144413131041
1113586aa193447
1256b26b6a4741
13240a7ca6a471
1410483ab03841
1572c1435b0b1
hex3c4f245c121

4144413131041 has 8 divisors (see below), whose sum is σ = 4201221236744. Its totient is φ = 4087605980160.

The previous prime is 4144413131029. The next prime is 4144413131057. The reversal of 4144413131041 is 1401313144414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 249695093025 + 3894718038016 = 499695^2 + 1973504^2 .

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 4144413131041 - 219 = 4144412606753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4144413130994 and 4144413131012.

It is not an unprimeable number, because it can be changed into a prime (4144413134041) 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, 16290085 + ... + 16542541.

It is an arithmetic number, because the mean of its divisors is an integer number (525152654593).

Almost surely, 24144413131041 is an apocalyptic number.

It is an amenable number.

4144413131041 is a deficient number, since it is larger than the sum of its proper divisors (56808105703).

4144413131041 is a wasteful number, since it uses less digits than its factorization.

4144413131041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477411.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 4144413131041 its reverse (1401313144414), we get a palindrome (5545726275455).

The spelling of 4144413131041 in words is "four trillion, one hundred forty-four billion, four hundred thirteen million, one hundred thirty-one thousand, forty-one".

Divisors: 1 73 224881 252457 16416313 18429361 56772782617 4144413131041