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4133433040441 = 73138893407669
BaseRepresentation
bin111100001001100011110…
…011101101111000111001
3112122011010001111110200221
4330021203303231320321
51020210232324243231
612442512315100041
7604426216065535
oct74114363557071
915564101443627
104133433040441
111353a85213901
12569106441621
1323ca1ccc3c33
141040b8736bc5
15727c0400d11
hex3c263cede39

4133433040441 has 8 divisors (see below), whose sum is σ = 4190095856520. Its totient is φ = 4076771317632.

The previous prime is 4133433040427. The next prime is 4133433040447. The reversal of 4133433040441 is 1440403343314.

It can be written as a sum of positive squares in 4 ways, for example, as 1871161353216 + 2262271687225 = 1367904^2 + 1504085^2 .

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 4133433040441 - 211 = 4133433038393 is a prime.

It is a super-4 number, since 4×41334330404414 (a number of 52 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4133433040397 and 4133433040406.

It is not an unprimeable number, because it can be changed into a prime (4133433040447) 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, 9935355 + ... + 10343023.

It is an arithmetic number, because the mean of its divisors is an integer number (523761982065).

Almost surely, 24133433040441 is an apocalyptic number.

It is an amenable number.

4133433040441 is a deficient number, since it is larger than the sum of its proper divisors (56662816079).

4133433040441 is a wasteful number, since it uses less digits than its factorization.

4133433040441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546635.

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 4133433040441 its reverse (1440403343314), we get a palindrome (5573836383755).

The spelling of 4133433040441 in words is "four trillion, one hundred thirty-three billion, four hundred thirty-three million, forty thousand, four hundred forty-one".

Divisors: 1 73 138893 407669 10139189 29759837 56622370417 4133433040441