[go: up one dir, main page]

Search a number
-
+
40140045 = 3251183977
BaseRepresentation
bin1001100100011…
…1110100001101
32210112022210100
42121013310031
540233440140
63552201313
7665120241
oct231076415
983468710
1040140045
11207268a0
1211539239
13841550a
14548c421
1537cd530
hex2647d0d

40140045 has 48 divisors (see below), whose sum is σ = 76894272. Its totient is φ = 19207680.

The previous prime is 40140019. The next prime is 40140047. The reversal of 40140045 is 54004104.

40140045 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 40140045 - 27 = 40139917 is a prime.

It is a super-2 number, since 2×401400452 = 3222446425204050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40140047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40597 + ... + 41573.

It is an arithmetic number, because the mean of its divisors is an integer number (1601964).

Almost surely, 240140045 is an apocalyptic number.

40140045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40140045 is a deficient number, since it is larger than the sum of its proper divisors (36754227).

40140045 is a wasteful number, since it uses less digits than its factorization.

40140045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40140045 is about 6335.6171759348. The cubic root of 40140045 is about 342.3938470822.

Adding to 40140045 its reverse (54004104), we get a palindrome (94144149).

The spelling of 40140045 in words is "forty million, one hundred forty thousand, forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 83 99 165 249 415 495 747 913 977 1245 2739 2931 3735 4565 4885 8217 8793 10747 13695 14655 32241 41085 43965 53735 81091 96723 161205 243273 405455 483615 729819 892001 1216365 2676003 3649095 4460005 8028009 13380015 40140045