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1324141033041 = 34937165710529
BaseRepresentation
bin10011010001001100111…
…101001011011001010001
311200120211122221222220000
4103101030331023121101
5133143320101024131
62452145121440213
7164444310034041
oct23211475133121
94616748858800
101324141033041
11470624102672
121947641a0069
1397b346a3088
1448135817721
152469d4c3ce6
hex1344cf4b651

1324141033041 has 40 divisors (see below), whose sum is σ = 1981532072520. Its totient is φ = 881202696192.

The previous prime is 1324141033013. The next prime is 1324141033123. The reversal of 1324141033041 is 1403301414231.

1324141033041 is a `hidden beast` number, since 1 + 3 + 241 + 410 + 3 + 3 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46967558400 + 1277173474641 = 216720^2 + 1130121^2 .

It is not a de Polignac number, because 1324141033041 - 214 = 1324141016657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1324141032996 and 1324141033014.

It is not an unprimeable number, because it can be changed into a prime (1324141033841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125756065 + ... + 125766593.

It is an arithmetic number, because the mean of its divisors is an integer number (49538301813).

Almost surely, 21324141033041 is an apocalyptic number.

It is an amenable number.

1324141033041 is a deficient number, since it is larger than the sum of its proper divisors (657391039479).

1324141033041 is a wasteful number, since it uses less digits than its factorization.

1324141033041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13135 (or 13126 counting only the distinct ones).

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

Adding to 1324141033041 its reverse (1403301414231), we get a palindrome (2727442447272).

The spelling of 1324141033041 in words is "one trillion, three hundred twenty-four billion, one hundred forty-one million, thirty-three thousand, forty-one".

Divisors: 1 3 9 27 81 937 1657 2811 4971 8433 10529 14913 25299 31587 44739 75897 94761 134217 284283 852849 1552609 4657827 9865673 13973481 17446553 29597019 41920443 52339659 88791057 125761329 157018977 266373171 471056931 799119513 1413170793 16347420161 49042260483 147126781449 441380344347 1324141033041