Search a number
-
+
13143301002441 = 32191153496713421
BaseRepresentation
bin1011111101000010100111…
…0010011001010011001001
31201112111011020121201002100
42333100221302121103021
53210314440024034231
643541541002224013
72524400152126461
oct277205162312311
951474136551070
1013143301002441
114208051852925
121583314ab5009
1374453c3c0a9c
143361d3c10ba1
1517bd4a0a81e6
hexbf429c994c9

13143301002441 has 48 divisors (see below), whose sum is σ = 20006816019840. Its totient is φ = 8291545067520.

The previous prime is 13143301002407. The next prime is 13143301002467. The reversal of 13143301002441 is 14420010334131.

13143301002441 is a `hidden beast` number, since 1 + 314 + 3 + 3 + 0 + 100 + 244 + 1 = 666.

13143301002441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13143301002441 - 27 = 13143301002313 is a prime.

It is a super-2 number, since 2×131433010024412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13143301002401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979301911 + ... + 979315331.

It is an arithmetic number, because the mean of its divisors is an integer number (416808667080).

Almost surely, 213143301002441 is an apocalyptic number.

It is an amenable number.

13143301002441 is a deficient number, since it is larger than the sum of its proper divisors (6863515017399).

13143301002441 is a wasteful number, since it uses less digits than its factorization.

13143301002441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19566 (or 19563 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13143301002441 its reverse (14420010334131), we get a palindrome (27563311336572).

The spelling of 13143301002441 in words is "thirteen trillion, one hundred forty-three billion, three hundred one million, two thousand, four hundred forty-one".

Divisors: 1 3 9 19 57 171 1153 3459 4967 10377 13421 14901 21907 40263 44703 65721 94373 120789 197163 254999 283119 764997 849357 2294991 5726951 15474413 17180853 46423239 51542559 66662107 108812069 139269717 199986321 294013847 326436207 599958963 882041541 979308621 1266580033 2646124623 3799740099 11399220297 76861409371 230584228113 691752684339 1460366778049 4381100334147 13143301002441