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145244314413 = 321112711552081
BaseRepresentation
bin1000011101000100111…
…1000101101100101101
3111212220022210122200100
42013101033011230231
54334430021030123
6150420241421313
713331201205462
oct2072117055455
9455808718610
10145244314413
11566636a1190
122419603a839
1310909222413
14705bd29669
153ba1337643
hex21d13c5b2d

145244314413 has 24 divisors (see below), whose sum is σ = 230671973376. Its totient is φ = 87333724800.

The previous prime is 145244314337. The next prime is 145244314459. The reversal of 145244314413 is 314413442541.

It is a happy number.

145244314413 is a `hidden beast` number, since 14 + 52 + 443 + 144 + 13 = 666.

145244314413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145244314413 - 28 = 145244314157 is a prime.

It is a super-3 number, since 3×1452443144133 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145244314613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5763468 + ... + 5788613.

It is an arithmetic number, because the mean of its divisors is an integer number (9611332224).

Almost surely, 2145244314413 is an apocalyptic number.

It is an amenable number.

145244314413 is a deficient number, since it is larger than the sum of its proper divisors (85427658963).

145244314413 is a wasteful number, since it uses less digits than its factorization.

145244314413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11552225 (or 11552222 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 145244314413 its reverse (314413442541), we get a palindrome (459657756954).

The spelling of 145244314413 in words is "one hundred forty-five billion, two hundred forty-four million, three hundred fourteen thousand, four hundred thirteen".

Divisors: 1 3 9 11 33 99 127 381 1143 1397 4191 12573 11552081 34656243 103968729 127072891 381218673 1143656019 1467114287 4401342861 13204028583 16138257157 48414771471 145244314413