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13413052134441 = 3319314319614629
BaseRepresentation
bin1100001100101111100000…
…1101010011010000101001
31202111021102122222000202000
43003023320031103100221
53224224412321300231
644305512053201213
72553026635664451
oct303137015232051
952437378860660
1013413052134441
114301497285963
121607658030209
13763acb42021b
143452a3844d61
15183d86d7e6e6
hexc32f8353429

13413052134441 has 64 divisors (see below), whose sum is σ = 22093919232000. Its totient is φ = 8007475734720.

The previous prime is 13413052134437. The next prime is 13413052134491. The reversal of 13413052134441 is 14443125031431.

13413052134441 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 30 + 52 + 134 + 441 = 666.

It is not a de Polignac number, because 13413052134441 - 22 = 13413052134437 is a prime.

It is a super-2 number, since 2×134130521344412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13413052134396 and 13413052134405.

It is not an unprimeable number, because it can be changed into a prime (13413052134491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9123486 + ... + 10491143.

It is an arithmetic number, because the mean of its divisors is an integer number (345217488000).

Almost surely, 213413052134441 is an apocalyptic number.

It is an amenable number.

13413052134441 is a deficient number, since it is larger than the sum of its proper divisors (8680867097559).

13413052134441 is a wasteful number, since it uses less digits than its factorization.

13413052134441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19614731 (or 19614725 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 13413052134441 its reverse (14443125031431), we get a palindrome (27856177165872).

The spelling of 13413052134441 in words is "thirteen trillion, four hundred thirteen billion, fifty-two million, one hundred thirty-four thousand, four hundred forty-one".

Divisors: 1 3 9 19 27 31 43 57 93 129 171 279 387 513 589 817 837 1161 1333 1767 2451 3999 5301 7353 11997 15903 22059 25327 35991 75981 227943 683829 19614629 58843887 176531661 372677951 529594983 608053499 843429047 1118033853 1824160497 2530287141 3354101559 5472481491 7590861423 10062304677 11553016481 16025151893 16417444473 22772584269 26146300457 34659049443 48075455679 78438901371 103977148329 144226367037 235316704113 311931444987 432679101111 496779708683 705950112339 1490339126049 4471017378147 13413052134441