Search a number
-
+
414121412141 = 983424399289
BaseRepresentation
bin1100000011010111000…
…11110100011000101101
31110120220211111102201022
412001223203310120231
523241110040142031
6514124511023525
741630212631543
oct6015343643055
91416824442638
10414121412141
1114a69a817348
126831450aba5
1330089149b08
1416087841d93
15ab8b51097b
hex606b8f462d

414121412141 has 8 divisors (see below), whose sum is σ = 414644571840. Its totient is φ = 413598461472.

The previous prime is 414121412137. The next prime is 414121412153. The reversal of 414121412141 is 141214121414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414121412141 - 22 = 414121412137 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414121412141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414121412171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4121225 + ... + 4220513.

It is an arithmetic number, because the mean of its divisors is an integer number (51830571480).

Almost surely, 2414121412141 is an apocalyptic number.

It is an amenable number.

414121412141 is a deficient number, since it is larger than the sum of its proper divisors (523159699).

414121412141 is an equidigital number, since it uses as much as digits as its factorization.

414121412141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104515.

The product of its digits is 1024, while the sum is 26.

Adding to 414121412141 its reverse (141214121414), we get a palindrome (555335533555).

The spelling of 414121412141 in words is "four hundred fourteen billion, one hundred twenty-one million, four hundred twelve thousand, one hundred forty-one".

Divisors: 1 983 4243 99289 4170869 97601087 421283227 414121412141