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414211524133 = 1139679492209
BaseRepresentation
bin1100000011100001110…
…11100100011000100101
31110121011010001121010111
412001300323210120211
523241301122233013
6514141450253021
741632355601661
oct6016073443045
91417133047114
10414211524133
1114a736674870
126833a727171
13300a1a0aa14
14160957bb8a1
15ab943b073d
hex6070ee4625

414211524133 has 8 divisors (see below), whose sum is σ = 451981071360. Its totient is φ = 376460969280.

The previous prime is 414211524053. The next prime is 414211524137. The reversal of 414211524133 is 331425112414.

It is a happy number.

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

It is a de Polignac number, because none of the positive numbers 2k-414211524133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414211524095 and 414211524104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414211524137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4702468 + ... + 4789741.

It is an arithmetic number, because the mean of its divisors is an integer number (56497633920).

Almost surely, 2414211524133 is an apocalyptic number.

It is an amenable number.

414211524133 is a deficient number, since it is larger than the sum of its proper divisors (37769547227).

414211524133 is a wasteful number, since it uses less digits than its factorization.

414211524133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496187.

The product of its digits is 11520, while the sum is 31.

Adding to 414211524133 its reverse (331425112414), we get a palindrome (745636636547).

The spelling of 414211524133 in words is "four hundred fourteen billion, two hundred eleven million, five hundred twenty-four thousand, one hundred thirty-three".

Divisors: 1 11 3967 43637 9492209 104414299 37655593103 414211524133