Search a number
-
+
1541321145 = 3257132912979
BaseRepresentation
bin101101111011110…
…1011000110111001
310222102021020010100
41123313223012321
511124034234040
6412535510013
753124004440
oct13367530671
93872236110
101541321145
11721043431
12370228309
131b742c260
141089bbd57
15904acb30
hex5bdeb1b9

1541321145 has 96 divisors (see below), whose sum is σ = 3401798400. Its totient is φ = 627927552.

The previous prime is 1541321141. The next prime is 1541321191. The reversal of 1541321145 is 5411231451.

1541321145 is a `hidden beast` number, since 1 + 541 + 3 + 2 + 114 + 5 = 666.

It is not a de Polignac number, because 1541321145 - 22 = 1541321141 is a prime.

It is a super-2 number, since 2×15413211452 = 4751341744048222050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1541321141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112266 + ... + 125244.

It is an arithmetic number, because the mean of its divisors is an integer number (35435400).

Almost surely, 21541321145 is an apocalyptic number.

1541321145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1541321145 is an abundant number, since it is smaller than the sum of its proper divisors (1860477255).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1541321145 is a wasteful number, since it uses less digits than its factorization.

1541321145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13039 (or 13036 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 1541321145 is about 39259.6630780245. The cubic root of 1541321145 is about 1155.1304850612.

Adding to 1541321145 its reverse (5411231451), we get a palindrome (6952552596).

The spelling of 1541321145 in words is "one billion, five hundred forty-one million, three hundred twenty-one thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 29 35 39 45 63 65 87 91 105 117 145 195 203 261 273 315 377 435 455 585 609 819 1015 1131 1305 1365 1827 1885 2639 3045 3393 4095 5655 7917 9135 12979 13195 16965 23751 38937 39585 64895 90853 116811 118755 168727 194685 272559 376391 454265 506181 584055 817677 843635 1129173 1181089 1362795 1518543 1881955 2530905 2634737 3387519 3543267 4088385 4893083 5645865 5905445 7592715 7904211 10629801 13173685 14679249 16937595 17716335 23712633 24465415 34251581 39521055 44037747 53149005 73396245 102754743 118563165 171257905 220188735 308264229 513773715 1541321145