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145431311441 = 1322956938581
BaseRepresentation
bin1000011101110001100…
…0011011010001010001
3111220101100200002101012
42013130120123101101
54340320403431231
6150451001420305
713335631515353
oct2073430332121
9456340602335
10145431311441
115674a202889
122422879a695
1310938ba6050
147078ac50d3
153bb2973e2b
hex21dc61b451

145431311441 has 16 divisors (see below), whose sum is σ = 157348223760. Its totient is φ = 133619016960.

The previous prime is 145431311369. The next prime is 145431311449. The reversal of 145431311441 is 144113134541.

It can be written as a sum of positive squares in 8 ways, for example, as 37663553041 + 107767758400 = 194071^2 + 328280^2 .

It is not a de Polignac number, because 145431311441 - 230 = 144357569617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145431311398 and 145431311407.

It is not an unprimeable number, because it can be changed into a prime (145431311449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16943771 + ... + 16952351.

It is an arithmetic number, because the mean of its divisors is an integer number (9834263985).

Almost surely, 2145431311441 is an apocalyptic number.

It is an amenable number.

145431311441 is a deficient number, since it is larger than the sum of its proper divisors (11916912319).

145431311441 is a wasteful number, since it uses less digits than its factorization.

145431311441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14516.

The product of its digits is 11520, while the sum is 32.

Adding to 145431311441 its reverse (144113134541), we get a palindrome (289544445982).

The spelling of 145431311441 in words is "one hundred forty-five billion, four hundred thirty-one million, three hundred eleven thousand, four hundred forty-one".

Divisors: 1 13 229 2977 5693 8581 74009 111553 1303697 1965049 16948061 25545637 48851633 635071229 11187023957 145431311441