Search a number
-
+
16143227136 = 283226472
BaseRepresentation
bin11110000100011011…
…00001100100000000
31112200001022220111100
433002031201210000
5231030131232021
611225513214400
71111021111101
oct170215414400
945601286440
1016143227136
116934481533
123166401400
1316a365340a
14ad1db63a8
15647388626
hex3c2361900

16143227136 has 81 divisors (see below), whose sum is σ = 46562494251. Its totient is φ = 5379042816.

The previous prime is 16143227101. The next prime is 16143227159. The reversal of 16143227136 is 63172234161.

The square root of 16143227136 is 127056.

It is a perfect power (a square), and thus also a powerful number.

16143227136 is a `hidden beast` number, since 1 + 614 + 3 + 2 + 2 + 7 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16143227136.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6097365 + ... + 6100011.

Almost surely, 216143227136 is an apocalyptic number.

16143227136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16143227136 is the 127056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16143227136

16143227136 is an abundant number, since it is smaller than the sum of its proper divisors (30419267115).

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

16143227136 is an frugal number, since it uses more digits than its factorization.

16143227136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316 (or 2652 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

Multiplying 16143227136 by its sum of digits (36), we get a square (581156176896 = 7623362).

16143227136 divided by its sum of digits (36) gives a square (448422976 = 211762).

The spelling of 16143227136 in words is "sixteen billion, one hundred forty-three million, two hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2647 5294 7941 10588 15882 21176 23823 31764 42352 47646 63528 84704 95292 127056 169408 190584 254112 338816 381168 508224 677632 762336 1016448 1524672 2032896 3049344 6098688 7006609 14013218 21019827 28026436 42039654 56052872 63059481 84079308 112105744 126118962 168158616 224211488 252237924 336317232 448422976 504475848 672634464 896845952 1008951696 1345268928 1793691904 2017903392 2690537856 4035806784 5381075712 8071613568 16143227136