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214304144412045 = 35174080112059769
BaseRepresentation
bin110000101110100010010010…
…011001101100110110001101
31001002210021110021220222121110
4300232202102121230312031
5211042124341432141140
62035441544222522233
763065651322561552
oct6056422231546615
91032707407828543
10214304144412045
1162313971694356
12200516b4436379
139276a4285673c
143acc5397baa29
1519b98213ea380
hexc2e89266cd8d

214304144412045 has 32 divisors (see below), whose sum is σ = 363057498967680. Its totient is φ = 107571960535040.

The previous prime is 214304144411993. The next prime is 214304144412067. The reversal of 214304144412045 is 540214441403412.

It is not a de Polignac number, because 214304144412045 - 221 = 214304142314893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214304144411994 and 214304144412012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103012921 + ... + 105072689.

It is an arithmetic number, because the mean of its divisors is an integer number (11345546842740).

Almost surely, 2214304144412045 is an apocalyptic number.

It is an amenable number.

214304144412045 is a deficient number, since it is larger than the sum of its proper divisors (148753354555635).

214304144412045 is a wasteful number, since it uses less digits than its factorization.

214304144412045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467805.

The product of its (nonzero) digits is 245760, while the sum is 39.

Adding to 214304144412045 its reverse (540214441403412), we get a palindrome (754518585815457).

The spelling of 214304144412045 in words is "two hundred fourteen trillion, three hundred four billion, one hundred forty-four million, four hundred twelve thousand, forty-five".

Divisors: 1 3 5 15 17 51 85 255 408011 1224033 2040055 2059769 6120165 6179307 6936187 10298845 20808561 30896535 34680935 35016073 104042805 105048219 175080365 525241095 840408409459 2521225228377 4202042047295 12606126141885 14286942960803 42860828882409 71434714804015 214304144412045