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4444101131341 = 31310946110679
BaseRepresentation
bin100000010101011100100…
…0100011011110001001101
3120201212000001022122222211
41000222321010123301031
51040303004342200331
613241331502310421
7636034653225064
oct100527104336115
916655001278884
104444101131341
11146380725a753
125b9368588411
13263100059461
1411514a62b1db
157a90443a8b1
hex40ab911bc4d

4444101131341 has 8 divisors (see below), whose sum is σ = 4588934873600. Its totient is φ = 4299359616720.

The previous prime is 4444101131333. The next prime is 4444101131359. The reversal of 4444101131341 is 1431311014444.

It is a happy number.

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 4444101131341 - 23 = 4444101131333 is a prime.

It is a super-2 number, since 2×44441011313412 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444101131441) 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, 22958961 + ... + 23151718.

It is an arithmetic number, because the mean of its divisors is an integer number (573616859200).

Almost surely, 24444101131341 is an apocalyptic number.

It is an amenable number.

4444101131341 is a deficient number, since it is larger than the sum of its proper divisors (144833742259).

4444101131341 is a wasteful number, since it uses less digits than its factorization.

4444101131341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46113819.

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

Adding to 4444101131341 its reverse (1431311014444), we get a palindrome (5875412145785).

It can be divided in two parts, 444410 and 1131341, that added together give a palindrome (1575751).

The spelling of 4444101131341 in words is "four trillion, four hundred forty-four billion, one hundred one million, one hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 31 3109 96379 46110679 1429431049 143358101011 4444101131341