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13402380541041 = 35269205032823
BaseRepresentation
bin1100001100000111110000…
…1000011001110001110001
31202110020212221110220200000
43003001330020121301301
53224041033404303131
644300545120020213
72552201324642322
oct303017410316161
952406787426600
1013402380541041
1142a7a10463888
12160557a161669
13762aba55b30b
14344970420449
15183960060ce6
hexc307c219c71

13402380541041 has 24 divisors (see below), whose sum is σ = 20150625942720. Its totient is φ = 8901704999952.

The previous prime is 13402380541019. The next prime is 13402380541063. The reversal of 13402380541041 is 14014508320431.

13402380541041 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 238 + 0 + 5 + 410 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13402380541019) and next prime (13402380541063).

It is a de Polignac number, because none of the positive numbers 2k-13402380541041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13402380540987 and 13402380541005.

It is not an unprimeable number, because it can be changed into a prime (13402380541091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102451045 + ... + 102581778.

It is an arithmetic number, because the mean of its divisors is an integer number (839609414280).

Almost surely, 213402380541041 is an apocalyptic number.

It is an amenable number.

13402380541041 is a deficient number, since it is larger than the sum of its proper divisors (6748245401679).

13402380541041 is an equidigital number, since it uses as much as digits as its factorization.

13402380541041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205033107 (or 205033095 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 13402380541041 its reverse (14014508320431), we get a palindrome (27416888861472).

The spelling of 13402380541041 in words is "thirteen trillion, four hundred two billion, three hundred eighty million, five hundred forty-one thousand, forty-one".

Divisors: 1 3 9 27 81 243 269 807 2421 7263 21789 65367 205032823 615098469 1845295407 5535886221 16607658663 49822975989 55153829387 165461488161 496384464483 1489153393449 4467460180347 13402380541041