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20141449218 = 23211230412
BaseRepresentation
bin10010110000100001…
…100010000000000010
31220222200200122002200
4102300201202000002
5312222202333333
613130341054030
71312060331202
oct226041420002
956880618080
1020141449218
1185a6360a00
123aa13b7316
131b8caa17b7
14d90dc6402
157cd3abc13
hex4b0862002

20141449218 has 54 divisors (see below), whose sum is σ = 47983500201. Its totient is φ = 6101462400.

The previous prime is 20141449183. The next prime is 20141449247. The reversal of 20141449218 is 81294414102.

20141449218 is a `hidden beast` number, since 20 + 1 + 414 + 4 + 9 + 218 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12954309489 + 7187139729 = 113817^2 + 84777^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=100353.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6621778 + ... + 6624818.

Almost surely, 220141449218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20141449218

20141449218 is an abundant number, since it is smaller than the sum of its proper divisors (27842050983).

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

20141449218 is an equidigital number, since it uses as much as digits as its factorization.

20141449218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 20141449218 by its product of nonzero digits (18432), we get a square (371247191986176 = 192677762).

The spelling of 20141449218 in words is "twenty billion, one hundred forty-one million, four hundred forty-nine thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 3041 6082 9123 18246 27369 33451 54738 66902 100353 200706 301059 367961 602118 735922 1103883 2207766 3311649 6623298 9247681 18495362 27743043 55486086 83229129 101724491 166458258 203448982 305173473 610346946 915520419 1118969401 1831040838 2237938802 3356908203 6713816406 10070724609 20141449218