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4440124144131 = 313313672559259
BaseRepresentation
bin100000010011100110000…
…0001011011101000000011
3120201110201212220210011020
41000213030001123220003
51040221333240103011
613235433113520523
7635534262336144
oct100471401335003
916643655823136
104440124144131
111462056364365
125b8638713143
132629181345a0
14114c90387acb
157a77020e006
hex409cc05ba03

4440124144131 has 16 divisors (see below), whose sum is σ = 6581226193920. Its totient is φ = 2644242665760.

The previous prime is 4440124144063. The next prime is 4440124144201. The reversal of 4440124144131 is 1314414210444.

4440124144131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4440124144131 - 210 = 4440124143107 is a prime.

It is a super-2 number, since 2×44401241441312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4440124144092 and 4440124144101.

It is not an unprimeable number, because it can be changed into a prime (4440124144831) 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, 1836278421 + ... + 1836280838.

It is an arithmetic number, because the mean of its divisors is an integer number (411326637120).

Almost surely, 24440124144131 is an apocalyptic number.

4440124144131 is a deficient number, since it is larger than the sum of its proper divisors (2141102049789).

4440124144131 is a wasteful number, since it uses less digits than its factorization.

4440124144131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672559306.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 4440124144131 its reverse (1314414210444), we get a palindrome (5754538354575).

The spelling of 4440124144131 in words is "four trillion, four hundred forty billion, one hundred twenty-four million, one hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 13 31 39 93 403 1209 3672559259 11017677777 47743270367 113849337029 143229811101 341548011087 1480041381377 4440124144131