996928480800
996,928,480,800 is an even composite number composed of five prime numbers multiplied together.
996928480800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 996928480800:
25 × 32 × 52 × 72 × 414
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 996928480800 from the Numbermatics database.
Names of 996928480800
- Cardinal: 996928480800 can be written as Nine hundred ninety-six billion, nine hundred twenty-eight million, four hundred eighty thousand, eight hundred.
Scientific notation
- Scientific notation: 9.969284808 × 1011
Factors of 996928480800
Divisors of 996928480800
- Number of divisors d(n): 810
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 41 42 45 48 49 50 56 60 63 70 72 75 80 82 84 90 96 98 100 105 112 120 123 126 140 144 147 150 160 164 168 175 180 196 200 205 210 224 225 240 245 246 252 280 287 288 294 300 315 328 336 350 360 369 392 400 410 420 441 450 480 490 492 504 525 560 574 588 600 615 630 656 672 700 720 735 738 784 800 820 840 861 882 900 980 984 1008 1025 1050 1120 1148 1176 1200 1225 1230 1260 1312 1400 1435 1440 1470 1476 1568 1575 1640 1680 1681 1722 1764 1800 1845 1960 1968 2009 2016 2050 2100 2205 2296 2352 2400 2450 2460 2520 2583 2800 2870 2940 2952 3075 3150 3280 3360 3362 3444 3528 3600 3675 3690 3920 3936 4018 4100 4200 4305 4410 4592 4704 4900 4920 5040 5043 5166 5600 5740 5880 5904 6027 6150 6300 6560 6724 6888 7056 7175 7200 7350 7380 7840 8036 8200 8400 8405 8610 8820 9184 9225 9800 9840 10045 10080 10086 10332 11025 11480 11760 11767 11808 12054 12300 12600 12915 13448 13776 14112 14350 14700 14760 15129 16072 16400 16800 16810 17220 17640 18081 18450 19600 19680 20090 20172 20664 21525 22050 22960 23520 23534 24108 24600 25200 25215 25830 26896 27552 28700 29400 29520 30135 30258 32144 32800 33620 34440 35280 35301 36162 36900 39200 40180 40344 41328 42025 43050 44100 45920 47068 48216 49200 50225 50400 50430 51660 53792 57400 58800 58835 59040 60270 60516 64288 64575 67240 68880 68921 70560 70602 72324 73800 75645 80360 80688 82369 82656 84050 86100 88200 90405 94136 96432 98400 100450 100860 103320 105903 114800 117600 117670 120540 121032 126075 129150 134480 137760 137842 141204 144648 147600 150675 151290 160720 161376 164738 168100 172200 176400 176505 180810 188272 192864 200900 201720 206640 206763 211806 229600 235340 241080 242064 247107 252150 258300 268960 275684 282408 289296 294175 295200 301350 302580 321440 329476 336200 344400 344605 352800 353010 361620 376544 378225 401800 403440 411845 413280 413526 423612 452025 470680 482160 482447 484128 494214 504300 516600 529515 551368 564816 578592 588350 602700 605160 620289 658952 672400 688800 689210 706020 723240 741321 756450 803600 806880 823690 827052 847224 882525 904050 941360 964320 964894 988428 1008600 1033200 1033815 1059030 1102736 1129632 1176700 1205400 1210320 1235535 1240578 1317904 1344800 1378420 1412040 1446480 1447341 1482642 1512900 1607200 1647380 1654104 1694448 1723025 1765050 1808100 1882720 1929788 1976856 2017200 2059225 2066400 2067630 2118060 2205472 2353400 2410800 2412235 2420640 2471070 2481156 2635808 2647575 2756840 2824080 2825761 2892960 2894682 2965284 3025800 3101445 3294760 3308208 3377129 3388896 3446050 3530100 3616200 3706605 3859576 3953712 4034400 4118450 4135260 4236120 4342023 4706800 4821600 4824470 4942140 4962312 5169075 5295150 5513680 5648160 5651522 5789364 5930568 6051600 6177675 6202890 6589520 6616416 6754258 6892100 7060200 7232400 7236705 7413210 7719152 7907424 8236900 8270520 8472240 8477283 8684046 9413600 9648940 9884280 9924624 10131387 10338150 10590300 11027360 11303044 11578728 11861136 12061175 12103200 12355350 12405780 13179040 13508516 13784200 14120400 14128805 14464800 14473410 14826420 15438304 15507225 16473800 16541040 16885645 16944480 16954566 17368092 18533025 19297880 19768560 19780327 19849248 20262774 20676300 21180600 21710115 22606088 23157456 23722272 24122350 24710700 24811560 25431849 27017032 27568400 28240800 28257610 28946820 29652840 30394161 31014450 32947600 33082080 33771290 33909132 34736184 36183525 37066050 38595760 39537120 39560654 40525548 41352600 42361200 42386415 43420230 45212176 46314912 48244700 49421400 49623120 50656935 50863698 54034064 55136800 56515220 57893640 59305680 59340981 60788322 62028900 65895200 67542580 67818264 69472368 70644025 72367050 74132100 77191520 79121308 81051096 82705200 84428225 84722400 84772830 86840460 90424352 96489400 98842800 98901635 99246240 101313870 101727396 108068128 108550575 113030440 115787280 118611360 118681962 121576644 124057800 127159245 135085160 135636528 138462289 138944736 141288050 144734100 148264200 151970805 158242616 162102192 165410400 168856450 169545660 173680920 178022943 192978800 197685600 197803270 202627740 203454792 211932075 217101150 226060880 231574560 237363924 243153288 248115600 253284675 254318490 270170320 271273056 276924578 282576100 289468200 296528400 296704905 303941610 316485232 324204384 337712900 339091320 347361840 356045886 385957600 395606540 405255480 406909584 415386867 423864150 434202300 452121760 474727848 486306576 494508175 496231200 506569350 508636980 540340640 553849156 565152200 578936400 593056800 593409810 607883220 632970464 635796225 675425800 678182640 692311445 694723680 712091772 759854025 791213080 810510960 813819168 830773734 847728300 868404600 890114715 949455696 972613152 989016350 1013138700 1017273960 1107698312 1130304400 1157872800 1186819620 1215766440 1246160601 1271592450 1350851600 1356365280 1384622890 1424183544 1483524525 1519708050 1582426160 1621021920 1661547468 1695456600 1736809200 1780229430 1898911392 1978032700 2026277400 2034547920 2076934335 2215396624 2260608800 2373639240 2431532880 2492321202 2543184900 2701703200 2769245780 2848367088 2967049050 3039416100 3164852320 3323094936 3390913200 3461557225 3473618400 3560458860 3956065400 4052554800 4069095840 4153868670 4430793248 4450573575 4747278480 4863065760 4984642404 5086369800 5538491560 5696734176 5934098100 6078832200 6230803005 6646189872 6781826400 6923114450 7120917720 7912130800 8105109600 8307737340 8901147150 9494556960 9969284808 10172739600 10384671675 11076983120 11868196200 12157664400 12461606010 13292379744 13846228900 14241835440 15824261600 16615474680 17802294300 19938569616 20345479200 20769343350 22153966240 23736392400 24315328800 24923212020 27692457800 28483670880 31154015025 33230949360 35604588600 39877139232 41538686700 47472784800 49846424040 55384915600 62308030050 66461898720 71209177200 83077373400 99692848080 110769831200 124616060100 142418354400 166154746800 199385696160 249232120200 332309493600 498464240400 996928480800
- Sum of all divisors σ(n): 4191599113065
- Sum of proper divisors (its aliquot sum) s(n): 3194670632265
- 996928480800 is an abundant number, because the sum of its proper divisors (3194670632265) is greater than itself. Its abundance is 2197742151465
Bases of 996928480800
- Binary: 11101000000111011001000101100110001000002
- Hexadecimal: 0xE81D916620
- Base-36: CPZDH6W0
Squares and roots of 996928480800
- 996928480800 squared (9969284808002) is 993866395830195968640000
- 996928480800 cubed (9969284808003) is 990813716113168721782559642112000000
-
The
square root of 996928480800 is 998463.0593066525 -
The
cube root of 996928480800 is 9989.7511022647
Scales and comparisons
How big is 996928480800?- 996,928,480,800 seconds is equal to 31,699 years, 12 weeks, 4 days, 2 hours.
-
To count from 1 to 996,928,480,800 would take you about sixty-three thousand, three hundred ninety-eight 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 996928480800 cubic inches would be around 832.5 feet tall.
Recreational maths with 996928480800
- 996928480800 backwards is 008084829699
- 996928480800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 996928480800's digits is 63
- More coming soon!
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