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214149581136 = 2433495716623
BaseRepresentation
bin1100011101110001001…
…1110100100101010000
3202110202110012212211000
43013130103310211100
512002034243044021
6242213504422000
721320553256101
oct3073423644520
9673673185730
10214149581136
1182902945a07
1235606317900
131726a9113aa
14a5173b43a8
1558857a2b26
hex31dc4f4950

214149581136 has 40 divisors (see below), whose sum is σ = 614688613760. Its totient is φ = 71383193568.

The previous prime is 214149581083. The next prime is 214149581143. The reversal of 214149581136 is 631185941412.

214149581136 is a `hidden beast` number, since 2 + 1 + 41 + 495 + 8 + 113 + 6 = 666.

214149581136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214149581091 and 214149581100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247857880 + ... + 247858743.

It is an arithmetic number, because the mean of its divisors is an integer number (15367215344).

Almost surely, 2214149581136 is an apocalyptic number.

It is an amenable number.

214149581136 is an abundant number, since it is smaller than the sum of its proper divisors (400539032624).

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

214149581136 is a wasteful number, since it uses less digits than its factorization.

214149581136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495716640 (or 495716628 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 214149581136 in words is "two hundred fourteen billion, one hundred forty-nine million, five hundred eighty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 495716623 991433246 1487149869 1982866492 2974299738 3965732984 4461449607 5948599476 7931465968 8922899214 11897198952 13384348821 17845798428 23794397904 26768697642 35691596856 53537395284 71383193712 107074790568 214149581136