164864782898620800
164,864,782,898,620,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 164864782898620800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 192 divisors.
164864782898620800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 164864782898620800:
27 × 3 × 52 × 239 × 71855292407
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 239 × 71855292407)See below for interesting mathematical facts about the number 164864782898620800 from the Numbermatics database.
Names of 164864782898620800
- Cardinal: 164864782898620800 can be written as One hundred sixty-four quadrillion, eight hundred sixty-four trillion, seven hundred eighty-two billion, eight hundred ninety-eight million, six hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.648647828986208 × 1017
Factors of 164864782898620800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 71855292656
Divisors of 164864782898620800
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 239 240 300 320 384 400 478 480 600 640 717 800 956 960 1195 1200 1434 1600 1912 1920 2390 2400 2868 3200 3585 3824 4780 4800 5736 5975 7170 7648 9560 9600 11472 11950 14340 15296 17925 19120 22944 23900 28680 30592 35850 38240 45888 47800 57360 71700 76480 91776 95600 114720 143400 152960 191200 229440 286800 382400 458880 573600 764800 1147200 2294400 71855292407 143710584814 215565877221 287421169628 359276462035 431131754442 574842339256 718552924070 862263508884 1077829386105 1149684678512 1437105848140 1724527017768 1796382310175 2155658772210 2299369357024 2874211696280 3449054035536 3592764620350 4311317544420 4598738714048 5389146930525 5748423392560 6898108071072 7185529240700 8622635088840 9197477428096 10778293861050 11496846785120 13796216142144 14371058481400 17173414885273 17245270177680 21556587722100 22993693570240 27592432284288 28742116962800 34346829770546 34490540355360 43113175444200 45987387140480 51520244655819 57484233925600 68693659541092 68981080710720 85867074426365 86226350888400 103040489311638 114968467851200 137387319082184 137962161421440 171734148852730 172452701776800 206080978623276 229936935702400 257601223279095 274774638164368 343468297705460 344905403553600 412161957246552 429335372131825 515202446558190 549549276328736 686936595410920 689810807107200 824323914493104 858670744263650 1030404893116380 1099098552657472 1288006116395475 1373873190821840 1648647828986208 1717341488527300 2060809786232760 2198197105314944 2576012232790950 2747746381643680 3297295657972416 3434682977054600 4121619572465520 5152024465581900 5495492763287360 6594591315944832 6869365954109200 8243239144931040 10304048931163800 10990985526574720 13738731908218400 16486478289862080 20608097862327600 27477463816436800 32972956579724160 41216195724655200 54954927632873600 82432391449310400 164864782898620800
- Sum of all divisors σ(n): 545295443025830400
- Sum of proper divisors (its aliquot sum) s(n): 380430660127209600
- 164864782898620800 is an abundant number, because the sum of its proper divisors (380430660127209600) is greater than itself. Its abundance is 215565877228588800
Bases of 164864782898620800
- Binary: 10010010011011011110100101100001001010010011101001100000002
- Hexadecimal: 0x249B7A584A4E980
- Base-36: 193BOROVABUO
Squares and roots of 164864782898620800
- 164864782898620800 squared (1648647828986208002) is 27180396640209369392850542192640000
- 164864782898620800 cubed (1648647828986208003) is 4481090191186519892452032688470264110063910912000000
-
The
square root of 164864782898620800 is 406035445.3722246155 -
The
cube root of 164864782898620800 is 548330.7881065825
Scales and comparisons
How big is 164864782898620800?- 164,864,782,898,620,800 seconds is equal to 5,242,190,135 years, 47 weeks, 5 days, 18 hours, 40 minutes.
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To count from 1 to 164,864,782,898,620,800 would take you about fifteen billion, seven hundred twenty-six million, five hundred seventy thousand, four hundred seven 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 164864782898620800 cubic inches would be around 45694.2 feet tall.
Recreational maths with 164864782898620800
- 164864782898620800 backwards is 008026898287468461
- The number of decimal digits it has is: 18
- The sum of 164864782898620800's digits is 87
- More coming soon!
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