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4441131334131 = 33157667828101
BaseRepresentation
bin100000010100000100000…
…0011100011100111110011
3120201120100002010100002120
41000220020003203213303
51040230414110143011
613240121053245323
7635601242324142
oct100501003434763
916646302110076
104441131334131
111462522949098
125b8879a93843
13262a489bb2bb
14114d48047759
157a7cd860a06
hex40a080e39f3

4441131334131 has 16 divisors (see below), whose sum is σ = 6112638225408. Its totient is φ = 2865192876000.

The previous prime is 4441131334117. The next prime is 4441131334187. The reversal of 4441131334131 is 1314331311444.

It is not a de Polignac number, because 4441131334131 - 217 = 4441131203059 is a prime.

It is a super-2 number, since 2×44411313341312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4441131334092 and 4441131334101.

It is not an unprimeable number, because it can be changed into a prime (4441131334231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4948981 + ... + 5777081.

It is an arithmetic number, because the mean of its divisors is an integer number (382039889088).

Almost surely, 24441131334131 is an apocalyptic number.

4441131334131 is a deficient number, since it is larger than the sum of its proper divisors (1671506891277).

4441131334131 is a wasteful number, since it uses less digits than its factorization.

4441131334131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885802.

The product of its digits is 20736, while the sum is 33.

Adding to 4441131334131 its reverse (1314331311444), we get a palindrome (5755462645575).

The spelling of 4441131334131 in words is "four trillion, four hundred forty-one billion, one hundred thirty-one million, three hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 31 93 57667 173001 828101 1787677 2484303 5363031 25671131 77013393 47754100367 143262301101 1480377111377 4441131334131