Search a number
-
+
4132411040 = 25533897621
BaseRepresentation
bin1111011001001111…
…1001011010100000
3101122222212020020202
43312103321122200
531430344123130
61522015524332
7204255625412
oct36623713240
911588766222
104132411040
11183070263a
12973b296a8
1350b1a2744
142b2b809b2
15192bcd145
hexf64f96a0

4132411040 has 48 divisors (see below), whose sum is σ = 9766983240. Its totient is φ = 1652259840.

The previous prime is 4132411021. The next prime is 4132411133. The reversal of 4132411040 is 401142314.

It can be written as a sum of positive squares in 4 ways, for example, as 4115992336 + 16418704 = 64156^2 + 4052^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 538430 + ... + 546050.

Almost surely, 24132411040 is an apocalyptic number.

4132411040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132411040 is an abundant number, since it is smaller than the sum of its proper divisors (5634572200).

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

4132411040 is a wasteful number, since it uses less digits than its factorization.

4132411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11025 (or 11017 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4132411040 is about 64283.8318708523. The cubic root of 4132411040 is about 1604.7270415042.

Adding to 4132411040 its reverse (401142314), we get a palindrome (4533553354).

The spelling of 4132411040 in words is "four billion, one hundred thirty-two million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3389 6778 7621 13556 15242 16945 27112 30484 33890 38105 54224 60968 67780 76210 108448 121936 135560 152420 243872 271120 304840 542240 609680 1219360 25827569 51655138 103310276 129137845 206620552 258275690 413241104 516551380 826482208 1033102760 2066205520 4132411040