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1351461145041 = 33737727265831
BaseRepresentation
bin10011101010101001010…
…111001000100111010001
311210012100122120111001000
4103222221113020213101
5134120243023120131
62512504102332213
7166432316123250
oct23525127104721
94705318514030
101351461145041
11481173647127
12199b0972a069
139a5997a3b17
14495a7d86797
152524bbdbce6
hex13aa95c89d1

1351461145041 has 64 divisors (see below), whose sum is σ = 2353272463360. Its totient is φ = 750355151040.

The previous prime is 1351461145033. The next prime is 1351461145043. The reversal of 1351461145041 is 1405411641531.

1351461145041 is a `hidden beast` number, since 1 + 3 + 5 + 146 + 1 + 1 + 4 + 504 + 1 = 666.

It is not a de Polignac number, because 1351461145041 - 23 = 1351461145033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1351461144987 and 1351461145005.

It is not an unprimeable number, because it can be changed into a prime (1351461145043) 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, 4950996 + ... + 5216826.

It is an arithmetic number, because the mean of its divisors is an integer number (36769882240).

Almost surely, 21351461145041 is an apocalyptic number.

It is an amenable number.

1351461145041 is a deficient number, since it is larger than the sum of its proper divisors (1001811318319).

1351461145041 is a wasteful number, since it uses less digits than its factorization.

1351461145041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266611 (or 266605 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 1351461145041 its reverse (1405411641531), we get a palindrome (2756872786572).

The spelling of 1351461145041 in words is "one trillion, three hundred fifty-one billion, four hundred sixty-one million, one hundred forty-five thousand, forty-one".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 727 777 999 2181 2331 5089 6543 6993 15267 19629 26899 45801 80697 137403 188293 242091 265831 564879 726273 797493 1694637 1860817 2392479 5083911 5582451 7177437 9835747 16747353 29507241 50242059 68850229 88521723 193259137 206550687 265565169 579777411 619652061 1352813959 1739332233 1858956183 4058441877 5217996699 7150588069 12175325631 21451764207 36525976893 50054116483 64355292621 150162349449 193065877863 450487048347 1351461145041