Search a number
-
+
6414132132 = 2232178170337
BaseRepresentation
bin1011111100100111…
…11110001110100100
3121120000022200011100
411332103332032210
5101114004212012
62540245040100
7314643136452
oct57623761644
917500280140
106414132132
1127a1679451
1212b00b6030
137b2b17975
1444bc119d2
1527818d8dc
hex17e4fe3a4

6414132132 has 18 divisors (see below), whose sum is σ = 16213500758. Its totient is φ = 2138044032.

The previous prime is 6414132091. The next prime is 6414132143. The reversal of 6414132132 is 2312314146.

It is a happy number.

6414132132 is a `hidden beast` number, since 641 + 4 + 1 + 3 + 2 + 13 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3924521316 + 2489610816 = 62646^2 + 49896^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×64141321322 = 82282182013509730848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6414132096 and 6414132105.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89085133 + ... + 89085204.

Almost surely, 26414132132 is an apocalyptic number.

It is an amenable number.

6414132132 is an abundant number, since it is smaller than the sum of its proper divisors (9799368626).

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

6414132132 is a wasteful number, since it uses less digits than its factorization.

6414132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178170347 (or 178170342 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 6414132132 is about 80088.2771196884. The cubic root of 6414132132 is about 1858.0011026893.

Adding to 6414132132 its reverse (2312314146), we get a palindrome (8726446278).

It can be divided in two parts, 641413 and 2132, that added together give a triangular number (643545 = T1134).

The spelling of 6414132132 in words is "six billion, four hundred fourteen million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 178170337 356340674 534511011 712681348 1069022022 1603533033 2138044044 3207066066 6414132132