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214420446502506 = 23241290542610437
BaseRepresentation
bin110000110000001110100110…
…100010111101111001101010
31001010012101122120211022212100
4300300032212202331321222
5211101031033301040011
62040011220540154230
763110236360204566
oct6060164642757152
91033171576738770
10214420446502506
1162359223137292
1220070151838976
1392849b889c84a
143ad400d9686a6
1519bc87b8edd56
hexc303a68bde6a

214420446502506 has 24 divisors (see below), whose sum is σ = 475908795897444. Its totient is φ = 69730226504640.

The previous prime is 214420446502487. The next prime is 214420446502511. The reversal of 214420446502506 is 605205644024412.

214420446502506 is a `hidden beast` number, since 2 + 1 + 4 + 42 + 0 + 44 + 65 + 0 + 2 + 506 = 666.

214420446502506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 154645266566025 + 59775179936481 = 12435645^2 + 7731441^2 .

It is a super-2 number, since 2×2144204465025062 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145271304481 + ... + 145271305956.

Almost surely, 2214420446502506 is an apocalyptic number.

214420446502506 is an abundant number, since it is smaller than the sum of its proper divisors (261488349394938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214420446502506 is a wasteful number, since it uses less digits than its factorization.

214420446502506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290542610486 (or 290542610483 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 214420446502506 in words is "two hundred fourteen trillion, four hundred twenty billion, four hundred forty-six million, five hundred two thousand, five hundred six".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 290542610437 581085220874 871627831311 1743255662622 2614883493933 5229766987866 11912247027917 23824494055834 35736741083751 71473482167502 107210223251253 214420446502506