380816428437504000
380,816,428,437,504,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 380816428437504000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3072 divisors.
380816428437504000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 380816428437504000:
215 × 33 × 53 × 673 × 1072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 67 × 67 × 67 × 107 × 107)See below for interesting mathematical facts about the number 380816428437504000 from the Numbermatics database.
Names of 380816428437504000
- Cardinal: 380816428437504000 can be written as Three hundred eighty quadrillion, eight hundred sixteen trillion, four hundred twenty-eight billion, four hundred thirty-seven million, five hundred four thousand.
Scientific notation
- Scientific notation: 3.80816428437504 × 1017
Factors of 380816428437504000
Divisors of 380816428437504000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 67 72 75 80 90 96 100 107 108 120 125 128 134 135 144 150 160 180 192 200 201 214 216 225 240 250 256 268 270 288 300 320 321 335 360 375 384 400 402 428 432 450 480 500 512 535 536 540 576 600 603 640 642 670 675 720 750 768 800 804 856 864 900 960 963 1000 1005 1024 1070 1072 1080 1125 1152 1200 1206 1280 1284 1340 1350 1440 1500 1536 1600 1605 1608 1675 1712 1728 1800 1809 1920 1926 2000 2010 2048 2140 2144 2160 2250 2304 2400 2412 2560 2568 2675 2680 2700 2880 2889 3000 3015 3072 3200 3210 3216 3350 3375 3424 3456 3600 3618 3840 3852 4000 4020 4096 4280 4288 4320 4489 4500 4608 4800 4815 4824 5025 5120 5136 5350 5360 5400 5760 5778 6000 6030 6144 6400 6420 6432 6700 6750 6848 6912 7169 7200 7236 7680 7704 8000 8025 8040 8192 8375 8560 8576 8640 8978 9000 9045 9216 9600 9630 9648 10050 10240 10272 10700 10720 10800 11449 11520 11556 12000 12060 12288 12800 12840 12864 13375 13400 13467 13500 13696 13824 14338 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330569816352000 338503491944448 352607804108800 355239205632000 355903204147200 371891043396000 378921819340800 380816428437504 395448004608000 396683779622400 423129364930560 440759755136000 444879005184000 473652274176000 476020535546880 495854724528000 507755237916672 528911706163200 564172486574080 568382729011200 593172006912000 595025669433600 631536365568000 634694047395840 661139632704000 705215608217600 710478411264000 711806408294400 743782086792000 761632856875008 793367559244800 846258729861120 881519510272000 889758010368000 947304548352000 952041071093760 991709449056000 1015510475833344 1057823412326400 1136765458022400 1186344013824000 1190051338867200 1269388094791680 1322279265408000 1410431216435200 1420956822528000 1487564173584000 1523265713750016 1586735118489600 1692517459722240 1763039020544000 1779516020736000 1894609096704000 1904082142187520 1983418898112000 2115646824652800 2380102677734400 2538776189583360 2644558530816000 2820862432870400 2841913645056000 2975128347168000 3046531427500032 3173470236979200 3526078041088000 3559032041472000 3808164284375040 3966837796224000 4231293649305600 4760205355468800 5077552379166720 5289117061632000 5683827290112000 5950256694336000 6346940473958400 7052156082176000 7616328568750080 7933675592448000 8462587298611200 9520410710937600 10578234123264000 11900513388672000 12693880947916800 14104312164352000 15232657137500160 15867351184896000 19040821421875200 21156468246528000 23801026777344000 25387761895833600 31734702369792000 38081642843750400 42312936493056000 47602053554688000 63469404739584000 76163285687500800 95204107109376000 126938809479168000 190408214218752000 380816428437504000
- Sum of all divisors σ(n): 1442973184432416000
- Sum of proper divisors (its aliquot sum) s(n): 1062156755994912000
- 380816428437504000 is an abundant number, because the sum of its proper divisors (1062156755994912000) is greater than itself. Its abundance is 681340327557408000
Bases of 380816428437504000
- Binary: 101010010001110111010000110001001011010011010000000000000002
- Hexadecimal: 0x548EE8625A68000
- Base-36: 2W5O5O32VPC0
Squares and roots of 380816428437504000
- 380816428437504000 squared (3808164284375040002) is 145021152167896605222833750016000000
- 380816428437504000 cubed (3808164284375040003) is 55226437216470175632349129090348719815000064000000000
-
The
square root of 380816428437504000 is 617103255.8960485667 -
The
cube root of 380816428437504000 is 724834.0030186019
Scales and comparisons
How big is 380816428437504000?- 380,816,428,437,504,000 seconds is equal to 12,108,784,481 years, 39 weeks, 3 days.
-
To count from 1 to 380,816,428,437,504,000 would take you about thirty-six billion, three hundred twenty-six million, three hundred fifty-three thousand, four hundred forty-five 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 380816428437504000 cubic inches would be around 60402.8 feet tall.
Recreational maths with 380816428437504000
- 380816428437504000 backwards is 000405734824618083
- The number of decimal digits it has is: 18
- The sum of 380816428437504000's digits is 63
- More coming soon!
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MLA style:
"Number 380816428437504000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 380816428437504000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/380816428437504000/
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Numbermatics. 2024. "Number 380816428437504000 - Facts about the integer". https://numbermatics.com/n/380816428437504000/
The information we have on file for 380816428437504000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 380816428437504000, math, Factors of 380816428437504000, curriculum, school, college, exams, university, Prime factorization of 380816428437504000, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty quadrillion, eight hundred sixteen trillion, four hundred twenty-eight billion, four hundred thirty-seven million, five hundred four thousand.