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344131121420099 = 13228354713154171
BaseRepresentation
bin100111000111111000100010…
…1001111111001011101000011
31200010110121120112122120220022
41032033301011033321131003
5330101221014040420344
63215523353225404055
7132325436665322516
oct11617610517713503
91603417515576808
10344131121420099
119a71820961a862
123271ab0033962b
1311a0356bab0100
1460da06c632d7d
1529bb990a620ee
hex138fc453f9743

344131121420099 has 24 divisors (see below), whose sum is σ = 374639447696832. Its totient is φ = 315958322665440.

The previous prime is 344131121420033. The next prime is 344131121420129. The reversal of 344131121420099 is 990024121131443.

It is not a de Polignac number, because 344131121420099 - 232 = 344126826452803 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344131121428099) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19584284 + ... + 32738454.

It is an arithmetic number, because the mean of its divisors is an integer number (15609976987368).

Almost surely, 2344131121420099 is an apocalyptic number.

344131121420099 is a deficient number, since it is larger than the sum of its proper divisors (30508326276733).

344131121420099 is a wasteful number, since it uses less digits than its factorization.

344131121420099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13155027 (or 13155014 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 344131121420099 in words is "three hundred forty-four trillion, one hundred thirty-one billion, one hundred twenty-one million, four hundred twenty thousand, ninety-nine".

Divisors: 1 13 169 283 547 3679 7111 47827 92443 154801 2012413 13154171 26161369 171004223 2223054899 3722630393 7195331537 48394195109 93539309981 629124536417 1216011029753 2036278824971 26471624724623 344131121420099