990537031148400
990,537,031,148,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 990537031148400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2970 divisors.
990537031148400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, nine hundred seventy divisors.
Prime factorization of 990537031148400:
24 × 310 × 52 × 172 × 312 × 151
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 31 × 31 × 151)See below for interesting mathematical facts about the number 990537031148400 from the Numbermatics database.
Names of 990537031148400
- Cardinal: 990537031148400 can be written as Nine hundred ninety trillion, five hundred thirty-seven billion, thirty-one million, one hundred forty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 9.905370311484 × 1014
Factors of 990537031148400
Divisors of 990537031148400
- Number of divisors d(n): 2970
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 31 34 36 40 45 48 50 51 54 60 62 68 72 75 80 81 85 90 93 100 102 108 120 124 135 136 144 150 151 153 155 162 170 180 186 200 204 216 225 240 243 248 255 270 272 279 289 300 302 306 310 324 340 360 372 400 405 408 425 432 450 453 459 465 486 496 510 527 540 558 578 600 604 612 620 648 675 680 720 729 744 755 765 775 810 816 837 850 867 900 906 918 930 961 972 1020 1054 1080 1116 1156 1200 1208 1215 1224 1240 1275 1296 1350 1359 1360 1377 1395 1445 1458 1488 1510 1530 1550 1581 1620 1674 1700 1734 1800 1812 1836 1860 1922 1944 2025 2040 2108 2160 2187 2232 2265 2295 2312 2325 2416 2430 2448 2480 2511 2550 2567 2601 2635 2700 2718 2754 2790 2883 2890 2916 3020 3060 3100 3162 3240 3348 3400 3468 3600 3624 3645 3672 3720 3775 3825 3844 3888 4050 4077 4080 4131 4185 4216 4335 4374 4464 4530 4590 4624 4650 4681 4743 4805 4860 5022 5100 5134 5202 5270 5400 5436 5508 5580 5766 5780 5832 6040 6075 6120 6200 6324 6480 6561 6696 6795 6800 6885 6936 6975 7225 7248 7290 7344 7440 7533 7550 7650 7688 7701 7803 7905 8100 8154 8262 8370 8432 8649 8670 8748 8959 9060 9180 9300 9362 9486 9610 9720 10044 10200 10268 10404 10540 10800 10872 10935 11016 11160 11325 11475 11532 11560 11664 12080 12150 12231 12240 12393 12400 12555 12648 12835 13005 13122 13175 13392 13590 13770 13872 13950 14043 14229 14415 14450 14580 15066 15100 15300 15376 15402 15606 15810 16200 16308 16337 16524 16740 17298 17340 17496 17918 18120 18225 18360 18600 18724 18972 19220 19440 19683 20088 20385 20400 20536 20655 20808 20925 21080 21675 21744 21870 22032 22320 22599 22650 22950 23064 23103 23120 23405 23409 23715 24025 24300 24462 24786 25110 25296 25670 25947 26010 26244 26350 26877 27180 27540 27900 28086 28458 28830 28900 29160 30132 30200 30600 30804 31212 31620 32400 32616 32674 32805 33048 33480 33975 34425 34596 34680 34992 35836 36240 36450 36693 36720 37179 37200 37448 37665 37944 38440 38505 39015 39366 39525 40176 40770 41072 41310 41616 41850 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35267999400 35503119396 35967212460 36443599380 36854449200 37591538184 37743371100 38082930840 38175397200 38587340520 39157852275 39447910440 39963569400 40492888200 40762840788 41229428976 41768375760 42314367600 42321599280 42843297195 42874822800 42947321850 43160654952 43732319256 43831011600 44378899245 44959015575 45292045320 45554499225 45699517008 46989422730 47337492528 47603663550 47956283280 48234175650 48555736821 48591465840 49309888050 50324494800 50953550985 51536786220 52210469700 52901999100 53254679094 53950818690 54350454384 54665399070 55281673800 56615056650 57124396260 57263095800 59171865660 59945354100 60631513200 60739332300 61144261182 62652563640 63471551400 64312234200 64420982775 64740982428 65598478884 65746517400 67938067980 68549275512 68715714960 69613959600 70535998800 71006238792 71405495325 71934424920 72887198760 73964832075 75183076368 75486742200 76165861680 77174681040 78315704550 78895820880 79882018641 79927138800 80926228035 80985776400 81525681576 81998098605 84922584975 85686594390 85894643700 86321309904 87464638512 88757798490 89918031150 90584090640 91108998450 91716391773 93978845460 95207327100 96468351300 97111473642 98619776100 101907101970 103073572440 104420939400 105803998200 106509358188 107901637380 109330798140 110563347600 113230113300 114248792520 114526191600 117473556825 118343731320 119890708200 121478664600 122288522364 125305127280 126943102800 128624468400 128841965550 129481964856 131196957768 131493034800 133136697735 134877046725 135876135960 136663497675 137098551024 142012477584 142810990650 143868849840 145667210463 145774397520 147929664150 150973484400 152860652955 156631409100 159764037282 161852456070 163051363152 163996197210 169845169950 171373188780 171789287400 177515596980 179836062300 182217996900 183432783546 187957690920 190414654200 192936702600 194222947284 197239552200 203814203940 206147144880 208841878800 211607996400 213018716376 214216485975 215803274760 218661596280 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6114426118200 6390561491280 6474098242800 6559847888400 6603580207656 6878729382975 7283360523150 7337311341840 7988201864100 8254475259570 9171639177300 9711147364200 9905370311484 10650935818800 11005967012760 11653376837040 12228852236400 12381712889355 13207160415312 13757458765950 14566721046300 15976403728200 16508950519140 18343278354600 19422294728400 19810740622968 20636188148925 22011934025520 24763425778710 27514917531900 29133442092600 31952807456400 33017901038280 36686556709200 39621481245936 41272376297850 49526851557420 55029835063800 58266884185200 61908564446775 66035802076560 82544752595700 99053703114840 110059670127600 123817128893550 165089505191400 198107406229680 247634257787100 330179010382800 495268515574200 990537031148400
- Sum of all divisors σ(n): 3944172985826856
- Sum of proper divisors (its aliquot sum) s(n): 2953635954678456
- 990537031148400 is an abundant number, because the sum of its proper divisors (2953635954678456) is greater than itself. Its abundance is 1963098923530056
Bases of 990537031148400
- Binary: 111000010011100011010111111110000011100011011100002
- Hexadecimal: 0x384E35FE0E370
- Base-36: 9R46FHFR00
Squares and roots of 990537031148400
- 990537031148400 squared (9905370311484002) is 981163610076286351822822560000
- 990537031148400 cubed (9905370311484003) is 971878889395811046175720991232726227904000000
-
The
square root of 990537031148400 is 31472798.2732454217 -
The
cube root of 990537031148400 is 99683.5674655999
Scales and comparisons
How big is 990537031148400?- 990,537,031,148,400 seconds is equal to 31,496,013 years, 34 weeks, 1 day, 15 hours.
-
To count from 1 to 990,537,031,148,400 would take you about seventy-eight million, seven hundred forty thousand and thirty-four 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 990537031148400 cubic inches would be around 8307 feet tall.
Recreational maths with 990537031148400
- 990537031148400 backwards is 004841130735099
- 990537031148400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 990537031148400's digits is 54
- More coming soon!
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Cite this page
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"Number 990537031148400 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 990537031148400 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/990537031148400/
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The information we have on file for 990537031148400 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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