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1344180305223 = 34721750939139
BaseRepresentation
bin10011100011110111011…
…000111011110101000111
311202111120020101111110000
4103203313120323311013
5134010340124231343
62505301412532343
7166054020035100
oct23436730736507
94674506344400
101344180305223
11479077815438
121986173210b3
13999a924b192
14490b70033a7
1524e728eaed3
hex138f763bd47

1344180305223 has 120 divisors (see below), whose sum is σ = 2478127964400. Its totient is φ = 721481789952.

The previous prime is 1344180305201. The next prime is 1344180305239. The reversal of 1344180305223 is 3225030814431.

1344180305223 is a `hidden beast` number, since 1 + 344 + 1 + 8 + 0 + 305 + 2 + 2 + 3 = 666.

It is not a de Polignac number, because 1344180305223 - 214 = 1344180288839 is a prime.

It is a super-3 number, since 3×13441803052233 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344180305323) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34324188 + ... + 34363326.

It is an arithmetic number, because the mean of its divisors is an integer number (20651066370).

Almost surely, 21344180305223 is an apocalyptic number.

1344180305223 is a deficient number, since it is larger than the sum of its proper divisors (1133947659177).

1344180305223 is a wasteful number, since it uses less digits than its factorization.

1344180305223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39691 (or 39675 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1344180305223 in words is "one trillion, three hundred forty-four billion, one hundred eighty million, three hundred five thousand, two hundred twenty-three".

Divisors: 1 3 7 9 17 21 27 49 51 63 81 119 147 153 189 357 441 459 509 567 833 1071 1323 1377 1527 2499 3213 3563 3969 4581 7497 8653 9639 10689 13743 22491 24941 25959 32067 39139 41229 60571 67473 74823 77877 96201 117417 181713 224469 233631 273973 288603 352251 423997 545139 665363 673407 700893 821919 1056753 1271991 1635417 1917811 1996089 2020221 2465757 3170259 3815973 4657541 4906251 5753433 5988267 7397271 11447919 13972623 17260299 17964801 19921751 22191813 32602787 34343757 41917869 51780897 53894403 59765253 97808361 125753607 139452257 155342691 179295759 293425083 338669767 377260821 418356771 537887277 880275249 976165799 1016009301 1255070313 1613661831 2370688369 2640825747 2928497397 3048027903 3765210939 7112065107 8785492191 9144083709 11295632817 16594818583 21336195321 26356476573 27432251127 49784455749 64008585963 79069429719 149353367247 192025757889 448060101741 1344180305223