48884389851168768
48,884,389,851,168,768 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48884389851168768 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1824 divisors.
48884389851168768 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, eight hundred twenty-four divisors.
Prime factorization of 48884389851168768:
218 × 3 × 132 × 37 × 43 × 151 × 1531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 37 × 43 × 151 × 1531)See below for interesting mathematical facts about the number 48884389851168768 from the Numbermatics database.
Names of 48884389851168768
- Cardinal: 48884389851168768 can be written as Forty-eight quadrillion, eight hundred eighty-four trillion, three hundred eighty-nine billion, eight hundred fifty-one million, one hundred sixty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.8884389851168768 × 1016
Factors of 48884389851168768
Divisors of 48884389851168768
- Number of divisors d(n): 1824
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 37 39 43 48 52 64 74 78 86 96 104 111 128 129 148 151 156 169 172 192 208 222 256 258 296 302 312 338 344 384 416 444 453 481 507 512 516 559 592 604 624 676 688 768 832 888 906 962 1014 1024 1032 1118 1184 1208 1248 1352 1376 1443 1531 1536 1591 1664 1677 1776 1812 1924 1963 2028 2048 2064 2236 2368 2416 2496 2704 2752 2886 3062 3072 3182 3328 3354 3552 3624 3848 3926 4056 4096 4128 4472 4593 4736 4773 4832 4992 5408 5504 5587 5772 5889 6124 6144 6253 6364 6493 6656 6708 7104 7248 7267 7696 7852 8112 8192 8256 8944 9186 9472 9546 9664 9984 10816 11008 11174 11544 11778 12248 12288 12506 12728 12986 13312 13416 14208 14496 14534 15392 15704 16224 16384 16512 16761 17888 18372 18759 18944 19092 19328 19479 19903 19968 20683 21632 21801 22016 22348 23088 23556 24496 24576 25012 25456 25519 25972 26624 26832 28416 28992 29068 30784 31408 32448 32768 33024 33522 35776 36744 37518 37888 38184 38656 38958 39806 39936 41366 43264 43602 44032 44696 46176 47112 48992 49152 50024 50912 51038 51944 53248 53664 56647 56832 57984 58136 59709 61568 62049 62816 64896 65536 65833 66048 67044 71552 72631 73488 75036 75776 76368 76557 77312 77916 79612 79872 82732 84409 86528 87204 88064 89392 92352 94224 97984 98304 100048 101824 102076 103888 106496 107328 113294 113664 115968 116272 119418 123136 124098 125632 129792 131072 131666 132096 134088 143104 145262 146976 150072 151552 152736 153114 154624 155832 159224 159744 165464 168818 169941 173056 174408 176128 178784 184704 188448 195968 196608 197499 200096 203648 204152 207776 212992 214656 217893 226588 227328 231181 231936 232544 238836 240241 246272 248196 251264 253227 258739 259584 262144 263332 264192 268176 268879 286208 290524 293952 300144 303104 305472 306228 309248 311664 318448 319488 330928 337636 339882 346112 348816 352256 357568 369408 376896 391936 393216 394998 400192 407296 408304 415552 425984 429312 435786 453176 454656 462362 463872 465088 477672 480482 492544 496392 502528 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5120929169408 5160936428544 5321618751488 5465607094272 5921074352128 5967332745504 6026182180864 6225724637184 6351921758208 6726901039104 6744535023616 6881248571392 7287476125696 7344409532928 7528783282176 7681393754112 7817749856256 7956443660672 7982428127232 8300966182912 8469229010944 8749667057664 8881611528192 9039273271296 9792546043904 10116802535424 10241858338816 10321872857088 10643237502976 10931214188544 11842148704256 11934665491008 12052364361728 12451449274368 12703843516416 13489070047232 13762497142784 14574952251392 14688819065856 15362787508224 15912887321344 15964856254464 16938458021888 17763223056384 18078546542592 19585092087808 20233605070848 20643745714176 21862428377088 23684297408512 23869330982016 24104728723456 24902898548736 25407687032832 26978140094464 27524994285568 29149904502784 29377638131712 30725575016448 31825774642688 31929712508928 33876916043776 35526446112768 36157093085184 39170184175616 40467210141696 41287491428352 43724856754176 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48884389851168768
- Sum of all divisors σ(n): 149423462786307072
- Sum of proper divisors (its aliquot sum) s(n): 100539072935138304
- 48884389851168768 is an abundant number, because the sum of its proper divisors (100539072935138304) is greater than itself. Its abundance is 51654683083969536
Bases of 48884389851168768
- Binary: 101011011010110000010111111101000010010000000000000000002
- Hexadecimal: 0xADAC17F4240000
- Base-36: DDC2IO7UC5C
Squares and roots of 48884389851168768
- 48884389851168768 squared (488843898511687682) is 2389683571121052043613775618637824
- 48884389851168768 cubed (488843898511687683) is 116818223311614695330207019926826699673930492280832
-
The
square root of 48884389851168768 is 221098145.2911099567 -
The
cube root of 48884389851168768 is 365642.5532946477
Scales and comparisons
How big is 48884389851168768?- 48,884,389,851,168,768 seconds is equal to 1,554,372,387 years, 47 weeks, 6 days, 8 hours, 12 minutes, 48 seconds.
-
To count from 1 to 48,884,389,851,168,768 would take you about four billion, six hundred sixty-three million, one hundred seventeen thousand, one hundred sixty-three years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 48884389851168768 cubic inches would be around 30470.2 feet tall.
Recreational maths with 48884389851168768
- 48884389851168768 backwards is 86786115898348884
- The number of decimal digits it has is: 17
- The sum of 48884389851168768's digits is 102
- More coming soon!
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MLA style:
"Number 48884389851168768 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 48884389851168768 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/48884389851168768/
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Numbermatics. 2024. "Number 48884389851168768 - Facts about the integer". https://numbermatics.com/n/48884389851168768/
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