990144073318400
990,144,073,318,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 990144073318400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3240 divisors.
990144073318400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 990144073318400:
214 × 52 × 7 × 112 × 13 × 59 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 13 × 59 × 61 × 61)See below for interesting mathematical facts about the number 990144073318400 from the Numbermatics database.
Names of 990144073318400
- Cardinal: 990144073318400 can be written as Nine hundred ninety trillion, one hundred forty-four billion, seventy-three million, three hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 9.901440733184 × 1014
Factors of 990144073318400
Divisors of 990144073318400
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 50 52 55 56 59 61 64 65 70 77 80 88 91 100 104 110 112 118 121 122 128 130 140 143 154 160 175 176 182 200 208 220 224 236 242 244 256 260 275 280 286 295 305 308 320 325 350 352 364 385 400 413 416 427 440 448 455 472 484 488 512 520 550 560 572 590 605 610 616 640 649 650 671 700 704 715 728 767 770 793 800 826 832 847 854 880 896 910 944 968 976 1001 1024 1040 1100 1120 1144 1180 1210 1220 1232 1280 1298 1300 1342 1400 1408 1430 1456 1475 1525 1534 1540 1573 1586 1600 1652 1664 1694 1708 1760 1792 1820 1888 1925 1936 1952 2002 2048 2065 2080 2135 2200 2240 2275 2288 2360 2420 2440 2464 2560 2596 2600 2684 2800 2816 2860 2912 2950 3025 3050 3068 3080 3146 3172 3200 3245 3304 3328 3355 3388 3416 3520 3575 3584 3599 3640 3721 3776 3835 3850 3872 3904 3965 4004 4096 4130 4160 4235 4270 4400 4480 4543 4550 4576 4697 4720 4840 4880 4928 5005 5120 5192 5200 5368 5369 5551 5600 5632 5720 5824 5900 6050 6100 6136 6160 6292 6344 6400 6490 6608 6656 6710 6776 6832 7040 7139 7150 7168 7198 7280 7381 7442 7552 7670 7700 7744 7808 7865 7930 8008 8192 8260 8320 8437 8470 8540 8723 8800 8960 9086 9100 9152 9394 9440 9680 9760 9856 10010 10240 10325 10384 10400 10675 10736 10738 11011 11102 11200 11264 11440 11648 11800 12100 12200 12272 12320 12584 12688 12800 12980 13216 13312 13420 13552 13664 14080 14278 14300 14336 14396 14560 14762 14884 15104 15340 15400 15488 15616 15730 15860 16016 16225 16384 16520 16640 16775 16874 16940 17080 17446 17600 17920 17995 18172 18200 18304 18605 18788 18880 19175 19360 19520 19712 19825 20020 20480 20650 20768 20800 21175 21350 21472 21476 22022 22204 22400 22528 22715 22880 23296 23485 23600 24200 24400 24544 24640 25025 25168 25193 25376 25600 25960 26047 26432 26624 26840 26845 27104 27328 27755 28160 28556 28600 28672 28792 29120 29524 29768 30208 30680 30800 30976 31232 31460 31720 32032 32450 33040 33280 33550 33748 33880 34160 34892 35200 35695 35840 35990 36344 36400 36608 36905 37210 37576 37760 38350 38720 39040 39325 39424 39589 39650 40040 40931 40960 41300 41536 41600 42185 42350 42700 42944 42952 43615 44044 44408 44800 45056 45430 45760 46592 46787 46970 47200 48373 48400 48800 49088 49280 49973 50050 50336 50386 50752 51200 51667 51920 52094 52864 53248 53680 53690 54208 54656 55055 55510 56320 57112 57200 57344 57584 58240 59048 59059 59536 60416 61061 61360 61600 61952 62464 62920 63440 64064 64900 66080 66560 67100 67496 67760 68320 69784 70400 71390 71680 71980 72688 72800 73216 73810 74420 75152 75520 76700 77440 78080 78650 78848 79178 79300 80080 81862 81920 82600 83072 83200 84370 84700 85400 85888 85904 87230 88088 88816 89600 89975 90112 90860 91520 92807 93025 93184 93574 93940 94400 95953 96746 96800 97600 98176 98560 99946 100100 100672 100772 101504 102400 103334 103840 104188 105728 106496 107360 107380 108416 109312 110110 111020 112640 113575 114224 114400 114688 115168 116480 117425 118096 118118 119072 120832 122122 122720 123200 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28129092992 28377395200 28985482240 29225031680 29339340800 29512491008 29751925280 29968040960 30512914432 30911091200 31215134720 31473111040 31702871200 31964878400 32147534848 32273274880 32777544800 33262028800 33536921600 34002200320 34389555200 34533484700 34620422144 34673766400 35161366240 35674439680 36231852800 36531289600 36883742720 36890613760 37189906600 37460051200 38013747200 38141143040 38677502864 39018918400 39302348800 39341388800 39566196736 40184418560 40341593600 40579675136 40915044352 41955257344 42160701440 42502750400 43275527680 43589877760 43951707800 44202860416 44593049600 44961587200 46104678400 46113267200 46376771584 46760050688 47603080448 47676428800 47948865536 48346878580 49457745920 49944215552 50230523200 50724593920 51143805440 51637239808 52444071680 52700876800 53219246080 54094409600 54403520512 54487347200 55023288320 55253575520 56258185984 56754790400 57970964480 58450063360 58678681600 59024982016 59503850560 59936081920 60433598225 61025828864 61822182400 62430269440 62946222080 63405742400 63929756800 64295069696 64546549760 65555089600 66524057600 67073843200 68004400640 68779110400 69066969400 69240844288 69347532800 70322732480 72463705600 73062579200 73781227520 74379813200 74920102400 76282286080 77355005728 78037836800 78682777600 80368837120 80683187200 81159350272 81830088704 83910514688 85005500800 86551055360 87903415600 88405720832 89186099200 89923174400 92209356800 92226534400 92753543168 95206160896 95352857600 95897731072 96693757160 98915491840 100461046400 101449187840 102287610880 104888143360 105401753600 108188819200 108807041024 108974694400 110507151040 112516371968 113509580800 115941928960 116900126720 117357363200 119007701120 119872163840 120867196450 123644364800 124860538880 125892444160 126811484800 127859513600 128590139392 129093099520 131110179200 133048115200 134147686400 136008801280 137558220800 138133938800 138481688576 138695065600 140645464960 144927411200 146125158400 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432755276800 435228164096 442028604160 450065487872 463767715840 476030804480 479488655360 483468785800 494577459200 507245939200 511438054400 514360557568 524440716800 544035205120 552535755200 562581859840 579709644800 584500633600 595038505600 599360819200 618840045824 624302694400 629462220800 642950696960 645465497600 649274802176 671284117504 680044006400 692408442880 703227324800 707245766656 737812275200 761649287168 762822860800 773550057280 803688371200 811593502720 818300887040 839105146880 865510553600 884057208320 900130975744 952061608960 966937571600 989154918400 1014491878400 1022876108800 1048881433600 1088070410240 1105071510400 1125163719680 1159419289600 1169001267200 1190077011200 1198721638400 1237680091648 1248605388800 1285901393920 1290930995200 1360088012800 1384816885760 1406454649600 1414491533312 1475624550400 1523298574336 1525645721600 1547100114560 1607376742400 1623187005440 1636601774080 1678210293760 1731021107200 1768114416640 1800261951488 1904123217920 1933875143200 2028983756800 2045752217600 2097762867200 2176140820480 2210143020800 2250327439360 2318838579200 2380154022400 2397443276800 2475360183296 2571802787840 2720176025600 2812909299200 2828983066624 3046597148672 3094200229120 3214753484800 3246374010880 3356420587520 3462042214400 3536228833280 3600523902976 3808246435840 3867750286400 4057967513600 4091504435200 4195525734400 4420286041600 4500654878720 4760308044800 4950720366592 5440352051200 5625818598400 5657966133248 6188400458240 6429506969600 6924084428800 7072457666560 7616492871680 7735500572800 8115935027200 8183008870400 8391051468800 8840572083200 9001309757440 9520616089600 9901440733184 10880704102400 11251637196800 12376800916480 12859013939200 14144915333120 15232985743360 15471001145600 16231870054400 16782102937600 17681144166400 18002619514880 19041232179200 19802881466368 22503274393600 24753601832960 28289830666240 30942002291200 35362288332800 38082464358400 39605762932736 45006548787200 49507203665920 61884004582400 70724576665600 76164928716800 90013097574400 99014407331840 123768009164800 141449153331200 198028814663680 247536018329600 495072036659200 990144073318400
- Sum of all divisors σ(n): 3434437601300160
- Sum of proper divisors (its aliquot sum) s(n): 2444293527981760
- 990144073318400 is an abundant number, because the sum of its proper divisors (2444293527981760) is greater than itself. Its abundance is 1454149454663360
Bases of 990144073318400
- Binary: 111000010010000111111000011100010001000000000000002
- Hexadecimal: 0x38487E1C44000
- Base-36: 9QZ5WOHOU8
Squares and roots of 990144073318400
- 990144073318400 squared (9901440733184002) is 980385285927553074787778560000
- 990144073318400 cubed (9901440733184003) is 970722680429731659433377573032903573504000000
-
The
square root of 990144073318400 is 31466554.8371346175 -
The
cube root of 990144073318400 is 99670.3838361837
Scales and comparisons
How big is 990144073318400?- 990,144,073,318,400 seconds is equal to 31,483,518 years, 42 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 990,144,073,318,400 would take you about seventy-eight million, seven hundred eight thousand, seven hundred ninety-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 990144073318400 cubic inches would be around 8305.9 feet tall.
Recreational maths with 990144073318400
- 990144073318400 backwards is 004813370441099
- The number of decimal digits it has is: 15
- The sum of 990144073318400's digits is 53
- More coming soon!
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"Number 990144073318400 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 990144073318400 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/990144073318400/
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Numbermatics. 2024. "Number 990144073318400 - Facts about the integer". https://numbermatics.com/n/990144073318400/
The information we have on file for 990144073318400 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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