642713380608000
642,713,380,608,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 642713380608000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
642713380608000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 642713380608000:
211 × 3 × 53 × 13 × 19 × 61 × 67 × 829
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 19 × 61 × 67 × 829)See below for interesting mathematical facts about the number 642713380608000 from the Numbermatics database.
Names of 642713380608000
- Cardinal: 642713380608000 can be written as Six hundred forty-two trillion, seven hundred thirteen billion, three hundred eighty million, six hundred eight thousand.
Scientific notation
- Scientific notation: 6.42713380608 × 1014
Factors of 642713380608000
Divisors of 642713380608000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 32 38 39 40 48 50 52 57 60 61 64 65 67 75 76 78 80 95 96 100 104 114 120 122 125 128 130 134 150 152 156 160 183 190 192 195 200 201 208 228 240 244 247 250 256 260 268 285 300 304 305 312 320 325 335 366 375 380 384 390 400 402 416 456 475 480 488 494 500 512 520 536 570 600 608 610 624 640 650 670 732 741 750 760 768 780 793 800 804 829 832 871 912 915 950 960 975 976 988 1000 1005 1024 1040 1072 1140 1159 1200 1216 1220 1235 1248 1273 1280 1300 1340 1425 1464 1482 1500 1520 1525 1536 1560 1586 1600 1608 1625 1658 1664 1675 1742 1824 1830 1900 1920 1950 1952 1976 2000 2010 2048 2080 2144 2280 2318 2375 2379 2400 2432 2440 2470 2487 2496 2546 2560 2600 2613 2680 2850 2928 2964 3000 3040 3050 3072 3120 3172 3200 3216 3250 3316 3328 3350 3477 3484 3648 3660 3705 3800 3819 3840 3900 3904 3952 3965 4000 4020 4087 4145 4160 4288 4355 4560 4575 4636 4750 4758 4800 4864 4875 4880 4940 4974 4992 5025 5092 5120 5200 5226 5360 5700 5795 5856 5928 6000 6080 6100 6144 6175 6240 6344 6365 6400 6432 6500 6632 6656 6700 6954 6968 7125 7296 7320 7410 7600 7625 7638 7680 7800 7808 7904 7930 8000 8040 8174 8290 8320 8375 8576 8710 9120 9150 9272 9500 9516 9600 9728 9750 9760 9880 9948 9984 10050 10184 10240 10400 10452 10720 10777 11400 11590 11712 11856 11895 12000 12160 12200 12261 12350 12435 12480 12688 12730 12800 12864 13000 13065 13264 13312 13400 13908 13936 14250 14592 14640 14820 15067 15200 15250 15276 15360 15600 15616 15751 15808 15860 16000 16080 16348 16549 16580 16640 16750 17152 17385 17420 18240 18300 18525 18544 19000 19032 19095 19200 19456 19500 19520 19760 19825 19896 19968 20100 20368 20435 20725 20800 20904 21440 21554 21775 22800 22875 23180 23424 23712 23790 24000 24320 24400 24522 24700 24870 24960 25125 25376 25460 25600 25728 26000 26130 26528 26624 26800 27816 27872 28500 28975 29184 29280 29640 30134 30400 30500 30552 30720 30875 31200 31232 31502 31616 31720 31825 32000 32160 32331 32696 33098 33160 33280 33500 34304 34770 34840 36480 36600 37050 37088 38000 38064 38190 38400 38912 39000 39040 39520 39650 39792 39936 40200 40736 40870 41450 41600 41808 42880 43108 43550 45201 45600 45750 46360 46848 47253 47424 47580 48000 48640 48800 49044 49400 49647 49740 49920 50250 50569 50752 50920 51200 51456 52000 52260 53056 53131 53600 53885 55543 55632 55744 57000 57950 58368 58560 59280 59475 60268 60800 61000 61104 61305 61750 62175 62400 62464 63004 63232 63440 63650 64000 64320 64662 65325 65392 66196 66320 66560 67000 68608 69540 69680 72960 73200 74100 74176 75335 76000 76128 76380 76800 77653 78000 78080 78755 79040 79300 79584 79872 80400 81472 81740 82745 82900 83200 83616 85760 86216 86925 87100 90402 91200 91500 92625 92720 93696 94506 94848 95160 95475 96000 97280 97600 98088 98800 99125 99294 99480 99840 100500 101138 101504 101840 102175 102912 103625 104000 104520 106112 106262 107200 107770 108875 111086 111264 111488 114000 115900 116736 117120 118560 118950 120536 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245967616000 247197454080 251059914300 252440448000 257497348000 258429184000 260207846400 263407123200 264273594000 267797241920 270161152000 270616160256 277270656000 281891833600 299773032000 308996817600 313824892875 319757900800 321356690304 325259808000 329258904000 329596605440 334746552400 338270200320 351209497600 352364792000 368951424000 383709480960 386246022000 387643776000 395515926528 399697376000 401695862880 405241728000 411995756800 418433190500 421451397120 422837750400 428475587072 433679744000 439011872000 451026933760 479636851200 494394908160 502119828600 504880896000 514994696000 520415692800 526814246400 528547188000 535594483840 554541312000 563783667200 599546064000 617993635200 627649785750 639515801600 642713380608 650519616000 658517808000 659193210880 669493104800 676540400640 702418995200 704729584000 737902848000 772492044000 775287552000 799394752000 803391725760 810483456000 823991513600 836866381000 845675500800 856951174144 867359488000 878023744000 959273702400 988789816320 1004239657200 1029989392000 1053628492800 1057094376000 1071188967680 1127567334400 1199092128000 1235987270400 1255299571500 1285426761216 1301039232000 1317035616000 1338986209600 1353080801280 1409459168000 1544984088000 1598789504000 1606783451520 1647983027200 1673732762000 1691351001600 1713902348288 1756047488000 1918547404800 1977579632640 2008479314400 2059978784000 2107256985600 2114188752000 2142377935360 2255134668800 2398184256000 2471974540800 2510599143000 2570853522432 2602078464000 2634071232000 2677972419200 2818918336000 3089968176000 3197579008000 3213566903040 3295966054400 3347465524000 3382702003200 3512094976000 4016958628800 4119957568000 4228377504000 4284755870720 4796368512000 4943949081600 5021198286000 5141707044864 5268142464000 5355944838400 5637836672000 6179936352000 6427133806080 6694931048000 6765404006400 8033917257600 8239915136000 8456755008000 8569511741440 9592737024000 9887898163200 10042396572000 10536284928000 10711889676800 11275673344000 12359872704000 12854267612160 13389862096000 16067834515200 16479830272000 16913510016000 20084793144000 21423779353600 24719745408000 25708535224320 26779724192000 32135669030400 33827020032000 40169586288000 42847558707200 49439490816000 53559448384000 64271338060800 80339172576000 107118896768000 128542676121600 160678345152000 214237793536000 321356690304000 642713380608000
- Sum of all divisors σ(n): 2503659255552000
- Sum of proper divisors (its aliquot sum) s(n): 1860945874944000
- 642713380608000 is an abundant number, because the sum of its proper divisors (1860945874944000) is greater than itself. Its abundance is 1218232494336000
Bases of 642713380608000
- Binary: 100100100010001011010111101011111001011000000000002
- Hexadecimal: 0x2488B5EBE5800
- Base-36: 6BTMG8G2DC
Squares and roots of 642713380608000
- 642713380608000 squared (6427133806080002) is 413080489612563870449664000000
- 642713380608000 cubed (6427133806080003) is 265492357942098753327024502537715712000000000
-
The
square root of 642713380608000 is 25351792.4535524707 -
The
cube root of 642713380608000 is 86299.0034203387
Scales and comparisons
How big is 642713380608000?- 642,713,380,608,000 seconds is equal to 20,436,297 years, 23 weeks, 6 days, 13 hours, 20 minutes.
-
To count from 1 to 642,713,380,608,000 would take you about fifty-one million, ninety thousand, seven hundred forty-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 642713380608000 cubic inches would be around 7191.6 feet tall.
Recreational maths with 642713380608000
- 642713380608000 backwards is 000806083317246
- 642713380608000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 642713380608000's digits is 48
- More coming soon!
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Cite this page
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"Number 642713380608000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
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Numbermatics. (2024). Number 642713380608000 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/642713380608000/
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The information we have on file for 642713380608000 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!
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