Search a number
-
+
414132231204 = 223211503673089
BaseRepresentation
bin1100000011011000011…
…01000101110000100100
31110120221120212002200100
412001230031011300210
523241120322344304
6514125534544100
741630403612156
oct6015415056044
91416846762610
10414132231204
1114a6a593691a
1268318068030
133008b467423
141608905aad6
15ab8c44b439
hex606c345c24

414132231204 has 18 divisors (see below), whose sum is σ = 1046834251190. Its totient is φ = 138044077056.

The previous prime is 414132231173. The next prime is 414132231263. The reversal of 414132231204 is 402132231414.

414132231204 is a `hidden beast` number, since 4 + 1 + 413 + 223 + 1 + 20 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 412418271204 + 1713960000 = 642198^2 + 41400^2 .

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

It is a super-2 number, since 2×4141322312042 (a number of 24 digits) contains 22 as substring.

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, 5751836509 + ... + 5751836580.

Almost surely, 2414132231204 is an apocalyptic number.

It is an amenable number.

414132231204 is an abundant number, since it is smaller than the sum of its proper divisors (632702019986).

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

414132231204 is a wasteful number, since it uses less digits than its factorization.

414132231204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11503673099 (or 11503673094 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414132231204 its reverse (402132231414), we get a palindrome (816264462618).

The spelling of 414132231204 in words is "four hundred fourteen billion, one hundred thirty-two million, two hundred thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 11503673089 23007346178 34511019267 46014692356 69022038534 103533057801 138044077068 207066115602 414132231204