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321244340031433 = 72133761379358909
BaseRepresentation
bin100100100001010111000011…
…0110001100000111111001001
31120010102122210101201011212201
41021002232012301200333021
5314101231402022001213
63055121340143440201
7124444065134330500
oct11102560661407711
91503378711634781
10321244340031433
11933a3a61141525
123004337b5b6061
1310a33299250230
145948447d33837
152721480e076dd
hex1242b86c60fc9

321244340031433 has 96 divisors (see below), whose sum is σ = 420208203599520. Its totient is φ = 243179462615040.

The previous prime is 321244340031427. The next prime is 321244340031463. The reversal of 321244340031433 is 334130043442123.

It can be written as a sum of positive squares in 16 ways, for example, as 276891031041849 + 44353308989584 = 16640043^2 + 6659828^2 .

It is not a de Polignac number, because 321244340031433 - 25 = 321244340031401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 321244340031392 and 321244340031401.

It is not an unprimeable number, because it can be changed into a prime (321244340031463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5453200783 + ... + 5453259691.

It is an arithmetic number, because the mean of its divisors is an integer number (4377168787495).

Almost surely, 2321244340031433 is an apocalyptic number.

It is an amenable number.

321244340031433 is a deficient number, since it is larger than the sum of its proper divisors (98963863568087).

321244340031433 is a wasteful number, since it uses less digits than its factorization.

321244340031433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62827 (or 62820 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 321244340031433 its reverse (334130043442123), we get a palindrome (655374383473556).

The spelling of 321244340031433 in words is "three hundred twenty-one trillion, two hundred forty-four billion, three hundred forty million, thirty-one thousand, four hundred thirty-three".

Divisors: 1 7 13 37 49 61 91 259 427 481 637 793 1813 2257 2989 3367 3793 5551 15799 23569 26551 29341 38857 49309 58909 110593 140341 185857 205387 231373 345163 412363 765817 982387 1437709 1619611 1824433 2179633 2416141 2886541 3007849 3593449 5360719 6876709 8560801 11337277 12771031 15257431 21054943 25154143 28335229 37525033 46714837 59925607 89397217 106802017 111290413 132957613 147384601 176079001 198346603 223441837 327003859 419479249 779032891 930703291 1388426221 1564092859 1728448969 2289027013 2904743881 5453230237 6514923037 8267347969 10948650013 12099142783 13629952057 20333207167 57871435783 84693999481 95409664399 107475523597 142332450169 177189376741 405100050481 504308226109 667867650793 752328665179 1240325637187 3530157582763 5266300656253 6556006939417 8682279460309 24711103079341 45892048575919 321244340031433