Search a number
-
+
1342332412421 = 721121343405011
BaseRepresentation
bin10011100010001001001…
…111110010001000000101
311202022210110020211001212
4103202021033302020011
5133443044044144141
62504354202101205
7165660151150400
oct23421117621005
94668713224055
101342332412421
1147830971a200
121981a04aa805
139977345cba0
1448d7d820d37
1524db55822eb
hex138893f2205

1342332412421 has 72 divisors (see below), whose sum is σ = 1891363918752. Its totient is φ = 943057684800.

The previous prime is 1342332412349. The next prime is 1342332412429. The reversal of 1342332412421 is 1242142332431.

It is a happy number.

It is not a de Polignac number, because 1342332412421 - 210 = 1342332411397 is a prime.

It is a super-3 number, since 3×13423324124213 (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 (1342332412429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3111806 + ... + 3516816.

It is an arithmetic number, because the mean of its divisors is an integer number (26268943316).

Almost surely, 21342332412421 is an apocalyptic number.

1342332412421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1342332412421 is a deficient number, since it is larger than the sum of its proper divisors (549031506331).

1342332412421 is a wasteful number, since it uses less digits than its factorization.

1342332412421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405103 (or 405085 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 1342332412421 its reverse (1242142332431), we get a palindrome (2584474744852).

The spelling of 1342332412421 in words is "one trillion, three hundred forty-two billion, three hundred thirty-two million, four hundred twelve thousand, four hundred twenty-one".

Divisors: 1 7 11 13 43 49 77 91 121 143 301 473 539 559 637 847 1001 1573 2107 3311 3913 5203 5929 6149 7007 11011 23177 27391 36421 43043 67639 77077 254947 301301 405011 473473 2835077 3314311 4455121 5265143 17415473 19845539 31185847 36856001 49006331 57916573 121908311 191570203 218300929 226401149 257992007 343044317 405416011 637082303 853358177 1340991421 1584808043 2107272233 2401310219 2490412639 2837912077 4459576121 9386939947 11093656301 14750905631 17432888473 27394539029 31217032847 103256339417 122030219311 191761773203 1342332412421