Search a number
-
+
245311411321053 = 32711809437558369
BaseRepresentation
bin110111110001110000000011…
…100001111111100011011101
31012011120112122001000101200200
4313301300003201333203131
5224123140232244233203
62225422301231414113
7102446110312604550
oct6761600341774335
91164515561011620
10245311411321053
1171188a92487620
122361abb3384339
13a6b59c794a37c
1444811c8368697
151d561a58c89a3
hexdf1c0387f8dd

245311411321053 has 48 divisors (see below), whose sum is σ = 442319005065600. Its totient is φ = 127276978083840.

The previous prime is 245311411321051. The next prime is 245311411321111. The reversal of 245311411321053 is 350123114113542.

245311411321053 is a `hidden beast` number, since 2 + 4 + 5 + 311 + 4 + 11 + 321 + 0 + 5 + 3 = 666.

It is not a de Polignac number, because 245311411321053 - 21 = 245311411321051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 245311411320999 and 245311411321017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245311411321051) 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, 218218548 + ... + 219339821.

It is an arithmetic number, because the mean of its divisors is an integer number (9214979272200).

Almost surely, 2245311411321053 is an apocalyptic number.

It is an amenable number.

245311411321053 is a deficient number, since it is larger than the sum of its proper divisors (197007593744547).

245311411321053 is a wasteful number, since it uses less digits than its factorization.

245311411321053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437559202 (or 437559199 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 245311411321053 its reverse (350123114113542), we get a palindrome (595434525434595).

The spelling of 245311411321053 in words is "two hundred forty-five trillion, three hundred eleven billion, four hundred eleven million, three hundred twenty-one thousand, fifty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 809 2427 5663 7281 8899 16989 26697 50967 62293 80091 186879 560637 437558369 1312675107 3062908583 3938025321 4813142059 9188725749 14439426177 27566177247 33691994413 43318278531 101075983239 303227949717 353984720521 1061954161563 2477893043647 3185862484689 3893831925731 7433679130941 11681495777193 22301037392823 27256823480117 35044487331579 81770470440351 245311411321053