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13401241132041 = 32710912231595701
BaseRepresentation
bin1100001100000011100000…
…1101111001110000001001
31202110010221112110221100200
43003000320031321300021
53224031220212211131
644300240054322413
72552131151062230
oct303007015716011
952403845427320
1013401241132041
1142a7486281a54
121605300659409
1376296848cac9
143448a2d83b17
151838e4ee32e6
hexc3038379c09

13401241132041 has 48 divisors (see below), whose sum is σ = 22343912997120. Its totient is φ = 7581387715200.

The previous prime is 13401241132003. The next prime is 13401241132093. The reversal of 13401241132041 is 14023114210431.

It is a happy number.

13401241132041 is a `hidden beast` number, since 1 + 3 + 40 + 1 + 2 + 411 + 3 + 204 + 1 = 666.

It is not a de Polignac number, because 13401241132041 - 29 = 13401241131529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13401241131996 and 13401241132014.

It is not an unprimeable number, because it can be changed into a prime (13401241133041) 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, 7600491 + ... + 9196191.

It is an arithmetic number, because the mean of its divisors is an integer number (465498187440).

Almost surely, 213401241132041 is an apocalyptic number.

It is an amenable number.

13401241132041 is a deficient number, since it is larger than the sum of its proper divisors (8942671865079).

13401241132041 is a wasteful number, since it uses less digits than its factorization.

13401241132041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597046 (or 1597043 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13401241132041 its reverse (14023114210431), we get a palindrome (27424355342472).

The spelling of 13401241132041 in words is "thirteen trillion, four hundred one billion, two hundred forty-one million, one hundred thirty-two thousand, forty-one".

Divisors: 1 3 7 9 21 63 109 327 763 981 1223 2289 3669 6867 8561 11007 25683 77049 133307 399921 933149 1199763 1595701 2799447 4787103 8398341 11169907 14361309 33509721 100529163 173931409 521794227 1217519863 1565382681 1951542323 3652559589 5854626969 10957678767 13660796261 17563880907 40982388783 122947166349 212718113207 638154339621 1489026792449 1914463018863 4467080377347 13401241132041