Search a number
-
+
412114331104431 = 3228760066219371
BaseRepresentation
bin101110110110100001101100…
…0010011111111010010101111
32000001011202010022111002122120
41131231003120103333102233
5413004040122230320211
64020254413213244023
7152543164210210044
oct13555033023772257
92001152108432576
10412114331104431
1110a34878512345a
123a27a627793613
13148c52a3827607
1473aa62370d1cb
15329a08d4c1d06
hex176d0d84ff4af

412114331104431 has 8 divisors (see below), whose sum is σ = 549726039692544. Its totient is φ = 274622754959640.

The previous prime is 412114331104403. The next prime is 412114331104501. The reversal of 412114331104431 is 134401133411214.

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

It is not a de Polignac number, because 412114331104431 - 29 = 412114331103919 is a prime.

It is a super-3 number, since 3×4121143311044313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 412114331104392 and 412114331104401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412114331102431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30033102825 + ... + 30033116546.

It is an arithmetic number, because the mean of its divisors is an integer number (68715754961568).

Almost surely, 2412114331104431 is an apocalyptic number.

412114331104431 is a deficient number, since it is larger than the sum of its proper divisors (137611708588113).

412114331104431 is a wasteful number, since it uses less digits than its factorization.

412114331104431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60066221661.

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 412114331104431 its reverse (134401133411214), we get a palindrome (546515464515645).

The spelling of 412114331104431 in words is "four hundred twelve trillion, one hundred fourteen billion, three hundred thirty-one million, one hundred four thousand, four hundred thirty-one".

Divisors: 1 3 2287 6861 60066219371 180198658113 137371443701477 412114331104431