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145440413105 = 5138931779309
BaseRepresentation
bin1000011101110011101…
…1001001010110110001
3111220101222210111111212
42013130323021112301
54340330221204410
6150451524445505
713336102054001
oct2073473112661
9456358714455
10145440413105
115675435a019
122422b849895
131093aa41a50
147079db4001
153bb3670b05
hex21dcec95b1

145440413105 has 32 divisors (see below), whose sum is σ = 190667584800. Its totient is φ = 105859049472.

The previous prime is 145440413101. The next prime is 145440413113. The reversal of 145440413105 is 501314044541.

It can be written as a sum of positive squares in 16 ways, for example, as 84378049441 + 61062363664 = 290479^2 + 247108^2 .

It is a cyclic number.

It is not a de Polignac number, because 145440413105 - 22 = 145440413101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145440413101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1794191 + ... + 1873499.

It is an arithmetic number, because the mean of its divisors is an integer number (5958362025).

Almost surely, 2145440413105 is an apocalyptic number.

It is an amenable number.

145440413105 is a deficient number, since it is larger than the sum of its proper divisors (45227171695).

145440413105 is a wasteful number, since it uses less digits than its factorization.

145440413105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79733.

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 145440413105 its reverse (501314044541), we get a palindrome (646754457646).

The spelling of 145440413105 in words is "one hundred forty-five billion, four hundred forty million, four hundred thirteen thousand, one hundred five".

Divisors: 1 5 13 65 89 317 445 1157 1585 4121 5785 20605 28213 79309 141065 366769 396545 1031017 1833845 5155085 7058501 25140953 35292505 91760513 125704765 326832389 458802565 1634161945 2237544817 11187724085 29088082621 145440413105