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1454444505 = 34518119841
BaseRepresentation
bin101011010110001…
…0000111111011001
310202100210102210000
41112230100333121
510434314211010
6400153443213
751020400663
oct12654207731
93670712700
101454444505
11686aa5758
12347110509
131a2431b67
14db245533
1587a4b7c0
hex56b10fd9

1454444505 has 40 divisors (see below), whose sum is σ = 2621763144. Its totient is φ = 771379200.

The previous prime is 1454444489. The next prime is 1454444521. The reversal of 1454444505 is 5054444541.

1454444505 is a `hidden beast` number, since 145 + 4 + 4 + 4 + 4 + 505 = 666.

It is an interprime number because it is at equal distance from previous prime (1454444489) and next prime (1454444521).

It can be written as a sum of positive squares in 4 ways, for example, as 186158736 + 1268285769 = 13644^2 + 35613^2 .

It is not a de Polignac number, because 1454444505 - 24 = 1454444489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1454444505.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 63385 + ... + 83225.

Almost surely, 21454444505 is an apocalyptic number.

1454444505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1454444505 is a deficient number, since it is larger than the sum of its proper divisors (1167318639).

1454444505 is a wasteful number, since it uses less digits than its factorization.

1454444505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20039 (or 20030 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The square root of 1454444505 is about 38137.1800871538. The cubic root of 1454444505 is about 1133.0064573943.

Adding to 1454444505 its sum of digits (36), we get a palindrome (1454444541).

It can be divided in two parts, 14544 and 44505, that added together give a 10-th power (59049 = 310).

The spelling of 1454444505 in words is "one billion, four hundred fifty-four million, four hundred forty-four thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 181 405 543 905 1629 2715 4887 8145 14661 19841 24435 59523 73305 99205 178569 297615 535707 892845 1607121 2678535 3591221 8035605 10773663 17956105 32320989 53868315 96962967 161604945 290888901 484814835 1454444505