1988464916314800
1,988,464,916,314,800 is an even composite number composed of six prime numbers multiplied together.
1988464916314800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 1988464916314800:
24 × 33 × 52 × 7 × 11 × 2391131453
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 2391131453)See below for interesting mathematical facts about the number 1988464916314800 from the Numbermatics database.
Names of 1988464916314800
- Cardinal: 1988464916314800 can be written as One quadrillion, nine hundred eighty-eight trillion, four hundred sixty-four billion, nine hundred sixteen million, three hundred fourteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.9884649163148 × 1015
Factors of 1988464916314800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 2391131481
Divisors of 1988464916314800
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 33 35 36 40 42 44 45 48 50 54 55 56 60 63 66 70 72 75 77 80 84 88 90 99 100 105 108 110 112 120 126 132 135 140 144 150 154 165 168 175 176 180 189 198 200 210 216 220 225 231 240 252 264 270 275 280 297 300 308 315 330 336 350 360 378 385 396 400 420 432 440 450 462 495 504 525 528 540 550 560 594 600 616 630 660 675 693 700 720 756 770 792 825 840 880 900 924 945 990 1008 1050 1080 1100 1155 1188 1200 1232 1260 1320 1350 1386 1400 1485 1512 1540 1575 1584 1650 1680 1800 1848 1890 1925 1980 2079 2100 2160 2200 2310 2376 2475 2520 2640 2700 2772 2800 2970 3024 3080 3150 3300 3465 3600 3696 3780 3850 3960 4158 4200 4400 4620 4725 4752 4950 5040 5400 5544 5775 5940 6160 6300 6600 6930 7425 7560 7700 7920 8316 8400 9240 9450 9900 10395 10800 11088 11550 11880 12600 13200 13860 14850 15120 15400 16632 17325 18480 18900 19800 20790 23100 23760 25200 27720 29700 30800 33264 34650 37800 39600 41580 46200 51975 55440 59400 69300 75600 83160 92400 103950 118800 138600 166320 207900 277200 415800 831600 2391131453 4782262906 7173394359 9564525812 11955657265 14346788718 16737920171 19129051624 21520183077 23911314530 26302445983 28693577436 33475840342 35866971795 38258103248 43040366154 47822629060 50213760513 52604891966 57387154872 59778286325 64560549231 66951680684 71733943590 78907337949 83689600855 86080732308 95645258120 100427521026 105209783932 107600915385 114774309744 119556572650 129121098462 131512229915 133903361368 143467887180 150641281539 157814675898 167379201710 172161464616 179334858975 184117121881 191290516240 200855042052 210419567864 215201830770 236722013847 239113145300 251068802565 258242196924 263024459830 267806722736 286935774360 301282563078 315629351796 322802746155 334758403420 344322929232 358669717950 368234243762 394536689745 401710084104 418448004275 420839135728 430403661540 451923844617 473444027694 478226290600 502137605130 516484393848 526048919660 538004576925 552351365643 573871548720 602565126156 631258703592 645605492310 657561149575 669516806840 710166041541 717339435900 736468487524 753206407695 789073379490 803420168208 836896008550 860807323080 903847689234 920585609405 946888055388 956452581200 1004275210260 1032968787696 1052097839320 1076009153850 1104702731286 1183610069235 1205130252312 1255344012825 1262517407184 1291210984620 1315122299150 1339033613680 1420332083082 1434678871800 1472936975048 1506412815390 1578146758980 1614013730775 1657054096929 1673792017100 1721614646160 1807695378468 1841171218810 1893776110776 1972683448725 2008550420520 2104195678640 2152018307700 2209405462572 2259619223085 2367220138470 2410260504624 2510688025650 2582421969240 2630244598300 2761756828215 2840664166164 2869357743600 2945873950096 3012825630780 3156293517960 3228027461550 3314108193858 3347584034200 3550830207705 3615390756936 3682342437620 3766032038475 3787552221552 3945366897450 4017100841040 4304036615400 4418810925144 4519238446170 4602928047025 4734440276940 4971162290787 5021376051300 5164843938480 5260489196600 5523513656430 5681328332328 5918050346175 6025651261560 6312587035920 6456054923100 6628216387716 6695168068400 7101660415410 7230781513872 7364684875240 7532064076950 7890733794900 8285270484645 8608073230800 8837621850288 9038476892340 9205856094050 9468880553880 9942324581574 10042752102600 10520978393200 11047027312860 11298096115425 11362656664656 11836100692350 12051302523120 12912109846200 13256432775432 13808784141075 14203320830820 14729369750480 15064128153900 15781467589800 16570540969290 17754151038525 18076953784680 18411712188100 18937761107760 19884649163148 20085504205200 22094054625720 22596192230850 23672201384700 24855811453935 25824219692400 26512865550864 27617568282150 28406641661640 30128256307800 31562935179600 33141081938580 35508302077050 36153907569360 36823424376200 39769298326296 41426352423225 44188109251440 45192384461700 47344402769400 49711622907870 55235136564300 56813283323280 60256512615600 66282163877160 71016604154100 73646848752400 79538596652592 82852704846450 90384768923400 94688805538800 99423245815740 110470273128600 124279057269675 132564327754320 142033208308200 165705409692900 180769537846800 198846491631480 220940546257200 248558114539350 284066416616400 331410819385800 397692983262960 497116229078700 662821638771600 994232458157400 1988464916314800
- Sum of all divisors σ(n): 8823848936808960
- Sum of proper divisors (its aliquot sum) s(n): 6835384020494160
- 1988464916314800 is an abundant number, because the sum of its proper divisors (6835384020494160) is greater than itself. Its abundance is 4846919104179360
Bases of 1988464916314800
- Binary: 1110001000001111111100100001111110000111010101100002
- Hexadecimal: 0x7107F90FC3AB0
- Base-36: JKUO66J4C0
Squares and roots of 1988464916314800
- 1988464916314800 squared (19884649163148002) is 3953992723414824567212699040000
- 1988464916314800 cubed (19884649163148003) is 7862375809874387275528322724465438297792000000
-
The
square root of 1988464916314800 is 44592206.9011480973 -
The
cube root of 1988464916314800 is 125749.4162381309
Scales and comparisons
How big is 1988464916314800?- 1,988,464,916,314,800 seconds is equal to 63,227,033 years, 31 weeks, 6 days, 3 hours.
-
To count from 1 to 1,988,464,916,314,800 would take you about one hundred eighty-nine million, six hundred eighty-one thousand, one hundred 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 1988464916314800 cubic inches would be around 10479.1 feet tall.
Recreational maths with 1988464916314800
- 1988464916314800 backwards is 0084136194648891
- 1988464916314800 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1988464916314800's digits is 72
- More coming soon!
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"Number 1988464916314800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 1988464916314800 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/1988464916314800/
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The information we have on file for 1988464916314800 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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