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45434135304101 = 257409521829637
BaseRepresentation
bin10100101010010011101010…
…11111101101011110100101
312221212110110000012121212202
422111021311133231132211
521423343102114212401
6240344053103024245
712366336141024005
oct1225116537553645
9187773400177782
1045434135304101
1113527565a06155
125119533b9b085
131c4756100864b
14b31049764005
1553bca5a1106b
hex2952757ed7a5

45434135304101 has 16 divisors (see below), whose sum is σ = 45810254188080. Its totient is φ = 45059986882560.

The previous prime is 45434135304049. The next prime is 45434135304109. The reversal of 45434135304101 is 10140353143454.

It can be written as a sum of positive squares in 8 ways, for example, as 3026037681601 + 42408097622500 = 1739551^2 + 6512150^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45434135304101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45434135304109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54349055 + ... + 55178691.

It is an arithmetic number, because the mean of its divisors is an integer number (2863140886755).

Almost surely, 245434135304101 is an apocalyptic number.

It is an amenable number.

45434135304101 is a deficient number, since it is larger than the sum of its proper divisors (376118883979).

45434135304101 is a wasteful number, since it uses less digits than its factorization.

45434135304101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830824.

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 45434135304101 its reverse (10140353143454), we get a palindrome (55574488447555).

The spelling of 45434135304101 in words is "forty-five trillion, four hundred thirty-four billion, one hundred thirty-five million, three hundred four thousand, one hundred one".

Divisors: 1 257 409 521 105113 133897 213089 829637 54763873 213216709 339321533 432240877 87205633981 111085905389 176786518693 45434135304101