Search a number
-
+
242110144512 = 213323283829
BaseRepresentation
bin1110000101111011100…
…0111010000000000000
3212010221001221200002100
43201132320322000000
512431320144111022
6303120204350400
723330500162425
oct3413670720000
9763831850070
10242110144512
1193750957025
123ab0a245400
1319aa5601b52
14ba0aa19d4c
1564703291ac
hex385ee3a000

242110144512 has 84 divisors (see below), whose sum is σ = 699386829570. Its totient is φ = 80703356928.

The previous prime is 242110144469. The next prime is 242110144541. The reversal of 242110144512 is 215441011242.

242110144512 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 1 + 0 + 144 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 217141088256 + 24969056256 = 465984^2 + 158016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1568187 + ... + 1715642.

Almost surely, 2242110144512 is an apocalyptic number.

It is an amenable number.

242110144512 is an abundant number, since it is smaller than the sum of its proper divisors (457276685058).

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

242110144512 is an equidigital number, since it uses as much as digits as its factorization.

242110144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283861 (or 3283834 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 242110144512 its reverse (215441011242), we get a palindrome (457551155754).

The spelling of 242110144512 in words is "two hundred forty-two billion, one hundred ten million, one hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 18432 24576 36864 73728 3283829 6567658 9851487 13135316 19702974 26270632 29554461 39405948 52541264 59108922 78811896 105082528 118217844 157623792 210165056 236435688 315247584 420330112 472871376 630495168 840660224 945742752 1260990336 1681320448 1891485504 2521980672 3362640896 3782971008 5043961344 6725281792 7565942016 10087922688 13450563584 15131884032 20175845376 26901127168 30263768064 40351690752 60527536128 80703381504 121055072256 242110144512