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331224343404431 = 1725997247780849
BaseRepresentation
bin100101101001111110010110…
…1010101000101111110001111
31121102202201220222202112100012
41023103330231111011332033
5321403234423402420211
63132242210203423435
7126524112001330031
oct11323745525057617
91542681828675305
10331224343404431
11965a150093a724
12311955b6524b7b
13112a8424612189
145bb14b53b7c51
152845d8a548d8b
hex12d3f2d545f8f

331224343404431 has 48 divisors (see below), whose sum is σ = 361657126908000. Its totient is φ = 303171276177408.

The previous prime is 331224343404403. The next prime is 331224343404433. The reversal of 331224343404431 is 134404343422133.

It is not a de Polignac number, because 331224343404431 - 226 = 331224276295567 is a prime.

It is a super-2 number, since 2×3312243434044312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331224343404433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4096786295 + ... + 4096867143.

It is an arithmetic number, because the mean of its divisors is an integer number (7534523477250).

Almost surely, 2331224343404431 is an apocalyptic number.

331224343404431 is a deficient number, since it is larger than the sum of its proper divisors (30432783503569).

331224343404431 is a wasteful number, since it uses less digits than its factorization.

331224343404431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83516 (or 83499 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 41.

Adding to 331224343404431 its reverse (134404343422133), we get a palindrome (465628686826564).

The spelling of 331224343404431 in words is "three hundred thirty-one trillion, two hundred twenty-four billion, three hundred forty-three million, four hundred four thousand, four hundred thirty-one".

Divisors: 1 17 59 97 289 1003 1649 2477 5723 17051 28033 42109 80849 97291 146143 240269 715853 1374433 1653947 2484431 4084573 4770091 7842353 14175871 23365361 42235327 69437741 81091547 133320001 200262973 240989807 462698827 1378556299 2266440017 3404470541 4096826719 7865880059 11815515407 19425508381 57875999197 133719961003 200863761919 330233642477 1146104994479 3414683952623 5613971922109 19483784906143 331224343404431