Search a number
-
+
11141858025 = 32523122272
BaseRepresentation
bin10100110000001101…
…10100001011101001
31001202111101000212100
422120012310023221
5140304303424100
65041332404013
7543051142044
oct123006641351
931674330770
1011141858025
1147a8319931
1221ab476609
1310874355cc
14779a79c5b
15453261400
hex2981b42e9

11141858025 has 81 divisors (see below), whose sum is σ = 20712064503. Its totient is φ = 5725303200.

The previous prime is 11141857997. The next prime is 11141858027. The reversal of 11141858025 is 52085814111.

The square root of 11141858025 is 105555.

It is a perfect power (a square), and thus also a powerful number.

11141858025 is a `hidden beast` number, since 1 + 11 + 41 + 8 + 580 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4011068889 + 7130789136 = 63333^2 + 84444^2 .

It is not a de Polignac number, because 11141858025 - 219 = 11141333737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11141858027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49082962 + ... + 49083188.

Almost surely, 211141858025 is an apocalyptic number.

11141858025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11141858025 is the 105555-th square number.

11141858025 is the 52778-th centered octagonal number.

It is an amenable number.

11141858025 is a deficient number, since it is larger than the sum of its proper divisors (9570206478).

11141858025 is an equidigital number, since it uses as much as digits as its factorization.

11141858025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

Multiplying 11141858025 by its sum of digits (36), we get a square (401106888900 = 6333302).

The spelling of 11141858025 in words is "eleven billion, one hundred forty-one million, eight hundred fifty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 227 279 465 681 775 961 1135 1395 2043 2325 2883 3405 4805 5675 6975 7037 8649 10215 14415 17025 21111 24025 35185 43245 51075 51529 63333 72075 105555 154587 175925 216225 218147 257645 316665 463761 527775 654441 772935 1090735 1288225 1583325 1597399 1963323 2318805 3272205 3864675 4792197 5453675 7986995 9816615 11594025 14376591 16361025 23960985 39934975 49083075 49519369 71882955 119804925 148558107 247596845 359414775 445674321 742790535 1237984225 2228371605 3713952675 11141858025