Search a number
-
+
414321242141 = 1731776882769
BaseRepresentation
bin1100000011101110111…
…10000111000000011101
31110121102202111211221102
412001313132013000131
523242012214222031
6514200410042445
741635160310362
oct6016736070035
91417382454842
10414321242141
1114a7925a3604
126836b419425
13300bb674911
14160a61bc469
15ab9dd347cb
hex607778701d

414321242141 has 8 divisors (see below), whose sum is σ = 440076975480. Its totient is φ = 388719275008.

The previous prime is 414321242099. The next prime is 414321242143. The reversal of 414321242141 is 141242123414.

It can be written as a sum of positive squares in 4 ways, for example, as 122671560025 + 291649682116 = 350245^2 + 540046^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414321242141 is a prime.

It is a super-2 number, since 2×4143212421412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414321242143) 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, 38435996 + ... + 38446773.

It is an arithmetic number, because the mean of its divisors is an integer number (55009621935).

Almost surely, 2414321242141 is an apocalyptic number.

It is an amenable number.

414321242141 is a deficient number, since it is larger than the sum of its proper divisors (25755733339).

414321242141 is a wasteful number, since it uses less digits than its factorization.

414321242141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76883103.

The product of its digits is 6144, while the sum is 29.

Adding to 414321242141 its reverse (141242123414), we get a palindrome (555563365555).

The spelling of 414321242141 in words is "four hundred fourteen billion, three hundred twenty-one million, two hundred forty-two thousand, one hundred forty-one".

Divisors: 1 17 317 5389 76882769 1307007073 24371837773 414321242141