996746480640
996,746,480,640 is an even composite number composed of six prime numbers multiplied together.
996746480640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 996746480640:
210 × 33 × 5 × 172 × 61 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 17 × 61 × 409)See below for interesting mathematical facts about the number 996746480640 from the Numbermatics database.
Names of 996746480640
- Cardinal: 996746480640 can be written as Nine hundred ninety-six billion, seven hundred forty-six million, four hundred eighty thousand, six hundred forty.
Scientific notation
- Scientific notation: 9.9674648064 × 1011
Factors of 996746480640
Divisors of 996746480640
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 61 64 68 72 80 85 90 96 102 108 120 122 128 135 136 144 153 160 170 180 183 192 204 216 240 244 255 256 270 272 288 289 305 306 320 340 360 366 384 408 409 432 459 480 488 510 512 540 544 549 576 578 610 612 640 680 720 732 765 768 816 818 864 867 915 918 960 976 1020 1024 1037 1080 1088 1098 1152 1156 1220 1224 1227 1280 1360 1440 1445 1464 1530 1536 1632 1636 1647 1728 1734 1830 1836 1920 1952 2040 2045 2074 2160 2176 2196 2295 2304 2312 2440 2448 2454 2560 2601 2720 2745 2880 2890 2928 3060 3072 3111 3264 3272 3294 3456 3468 3660 3672 3681 3840 3904 4080 4090 4148 4320 4335 4352 4392 4590 4608 4624 4880 4896 4908 5120 5185 5202 5440 5490 5760 5780 5856 6120 6135 6222 6528 6544 6588 6912 6936 6953 7320 7344 7362 7680 7803 7808 8160 8180 8235 8296 8640 8670 8704 8784 9180 9216 9248 9333 9760 9792 9816 10370 10404 10880 10980 11043 11520 11560 11712 12240 12270 12444 13005 13056 13088 13176 13824 13872 13906 14640 14688 14724 15360 15555 15606 15616 16320 16360 16470 16592 17280 17340 17408 17568 17629 18360 18405 18496 18666 19520 19584 19632 20740 20808 20859 21760 21960 22086 23040 23120 23424 24480 24540 24888 24949 26010 26112 26176 26352 27648 27744 27812 27999 29280 29376 29448 31110 31212 31232 32640 32720 32940 33184 34560 34680 34765 35136 35258 36720 36810 36992 37332 39015 39040 39168 39264 41480 41616 41718 43520 43920 44172 46080 46240 46665 46848 48960 49080 49776 49898 52020 52224 52352 52704 52887 55215 55488 55624 55998 58560 58752 58896 62220 62424 62464 62577 65280 65440 65880 66368 69120 69360 69530 70272 70516 73440 73620 73984 74664 74847 78030 78080 78336 78528 82960 83232 83436 87040 87840 88145 88344 92480 93330 93696 97920 98160 99552 99796 104040 104295 104704 105408 105774 110430 110976 111248 111996 117120 117504 117792 118201 124440 124745 124848 125154 130560 130880 131760 132736 138240 138720 139060 139995 140544 141032 146880 147240 147968 149328 149694 156060 156160 156672 157056 158661 165920 166464 166872 175680 176290 176688 184960 186660 187392 187731 195840 196320 199104 199592 208080 208590 209408 210816 211548 220860 221952 222496 223992 224541 234240 235008 235584 236402 248880 249490 249696 250308 261120 261760 263520 264435 265472 277440 278120 279990 281088 282064 293760 294480 295936 298656 299388 312120 312320 312885 314112 317322 331840 332928 333744 351360 352580 353376 354603 369920 373320 374235 375462 391680 392640 398208 399184 416160 417180 418816 421632 423096 424133 441720 443904 444992 447984 449082 468480 470016 471168 472804 475983 497760 498980 499392 500616 523520 527040 528870 530944 554880 556240 559980 562176 564128 587520 588960 591005 597312 598776 624240 625770 628224 634644 663680 665856 667488 673623 702720 705160 706752 709206 739840 746640 748470 750924 783360 785280 793305 796416 798368 832320 834360 843264 846192 848266 883440 887808 889984 895968 898164 936960 938655 942336 945608 951966 995520 997960 998784 1001232 1047040 1054080 1057740 1061888 1063809 1109760 1112480 1119960 1122705 1128256 1175040 1177920 1182010 1194624 1197552 1248480 1251540 1256448 1269288 1272399 1327360 1331712 1334976 1347246 1405440 1410320 1413504 1418412 1479680 1493280 1496940 1501848 1570560 1586610 1592832 1596736 1664640 1668720 1686528 1692384 1696532 1766880 1773015 1779968 1791936 1796328 1877310 1884672 1891216 1903932 1991040 1995920 1997568 2002464 2094080 2108160 2115480 2120665 2127618 2219520 2224960 2239920 2245410 2256512 2350080 2355840 2364020 2379915 2389248 2395104 2496960 2503080 2538576 2544798 2654720 2663424 2669952 2694492 2810880 2820640 2827008 2836824 2986560 2993880 3003696 3141120 3173220 3185664 3191427 3193472 3329280 3337440 3368115 3384768 3393064 3533760 3546030 3559936 3583872 3592656 3754620 3769344 3782432 3807864 3817197 3982080 3991840 3995136 4004928 4216320 4230960 4241330 4255236 4439040 4449920 4479840 4490820 4513024 4711680 4728040 4759830 4778496 4790208 4993920 5006160 5077152 5089596 5309440 5319045 5339904 5388984 5641280 5654016 5673648 5973120 5987760 6007392 6282240 6346440 6361995 6382854 6386944 6658560 6674880 6736230 6769536 6786128 7067520 7092060 7119872 7167744 7185312 7210261 7509240 7564864 7615728 7634394 7964160 7983680 7990272 8009856 8432640 8461920 8482660 8510472 8899840 8959680 8981640 9026048 9423360 9456080 9519660 9556992 9580416 9987840 10012320 10154304 10179192 10638090 10679808 10777968 11282560 11308032 11347296 11451591 11946240 11975520 12014784 12692880 12723990 12765708 12773888 13317120 13349760 13472460 13539072 13572256 14135040 14184120 14335488 14370624 14420522 15018480 15129728 15231456 15268788 15928320 15957135 15967360 16019712 16923840 16965320 17020944 17799680 17919360 17963280 18052096 18846720 18912160 19039320 19085985 19160832 19975680 20024640 20308608 20358384 21276180 21359616 21555936 21630783 22565120 22694592 22903182 23892480 23951040 24029568 25385760 25447980 25531416 25547776 26699520 26944920 27078144 27144512 28270080 28368240 28670976 28741248 28841044 30036960 30259456 30462912 30537576 31914270 31934720 32039424 33847680 33930640 34041888 35599360 35838720 35926560 36051305 37824320 38078640 38171970 38321664 39951360 40049280 40617216 40716768 42552360 43111872 43261566 45130240 45389184 45806364 47784960 47902080 48059136 50771520 50895960 51062832 53399040 53889840 54156288 54289024 56540160 56736480 57257955 57482496 57682088 60073920 60518912 60925824 61075152 63828540 63869440 64078848 64892349 67695360 67861280 68083776 71677440 71853120 72102610 75648640 76157280 76343940 76643328 80098560 81234432 81433536 85104720 86223744 86523132 90260480 90778368 91612728 95804160 96118272 101543040 101791920 102125664 106798080 107779680 108153915 108578048 113472960 114515910 114964992 115364176 120147840 121037824 121851648 122150304 127657080 127738880 129784698 135390720 135722560 136167552 143354880 143706240 144205220 151297280 152314560 152687880 160197120 162468864 162867072 170209440 172447488 173046264 181556736 183225456 191608320 192236544 194677047 203086080 203583840 204251328 215559360 216307830 217156096 226945920 229031820 229929984 230728352 240295680 243703296 244300608 255314160 259569396 270781440 271445120 272335104 287412480 288410440 302594560 304629120 305375760 320394240 324461745 325734144 340418880 344894976 346092528 363113472 366450912 383216640 389354094 406172160 407167680 408502656 431118720 432615660 434312192 453891840 458063640 461456704 480591360 487406592 488601216 510628320 519138792 542890240 544670208 574824960 576820880 605189120 609258240 610751520 648923490 651468288 680837760 689789952 692185056 732901824 778708188 812344320 814335360 817005312 862237440 865231320 907783680 916127280 922913408 961182720 973385235 977202432 1021256640 1038277584 1085780480 1089340416 1149649920 1153641760 1218516480 1221503040 1297846980 1302936576 1361675520 1384370112 1465803648 1557416376 1628670720 1634010624 1724474880 1730462640 1815567360 1832254560 1845826816 1946770470 1954404864 2042513280 2076555168 2171560960 2307283520 2437032960 2443006080 2595693960 2723351040 2768740224 2931607296 3114832752 3257341440 3268021248 3448949760 3460925280 3664509120 3691653632 3893540940 3908809728 4085026560 4153110336 4614567040 4886012160 5191387920 5446702080 5537480448 5863214592 6229665504 6514682880 6921850560 7329018240 7383307264 7787081880 8170053120 8306220672 9229134080 9772024320 10382775840 11074960896 11726429184 12459331008 13843701120 14658036480 15574163760 16340106240 16612441344 18458268160 19544048640 20765551680 22149921792 24918662016 27687402240 29316072960 31148327520 33224882688 36916536320 41531103360 49837324032 55374804480 58632145920 62296655040 66449765376 83062206720 99674648064 110749608960 124593310080 166124413440 199349296128 249186620160 332248826880 498373240320 996746480640
- Sum of all divisors σ(n): 3833919643200
- Sum of proper divisors (its aliquot sum) s(n): 2837173162560
- 996746480640 is an abundant number, because the sum of its proper divisors (2837173162560) is greater than itself. Its abundance is 1840426681920
Bases of 996746480640
- Binary: 11101000000100101011100001001100000000002
- Hexadecimal: 0xE812B84C00
- Base-36: CPWD4AO0
Squares and roots of 996746480640
- 996746480640 squared (9967464806402) is 993503546668225894809600
- 996746480640 cubed (9967464806403) is 990271163644912158363983642886144000
-
The
square root of 996746480640 is 998371.9149895995 -
The
cube root of 996746480640 is 9989.1431526189
Scales and comparisons
How big is 996746480640?- 996,746,480,640 seconds is equal to 31,693 years, 23 weeks, 4 days, 14 hours, 24 minutes.
-
To count from 1 to 996,746,480,640 would take you about sixty-three thousand, three hundred eighty-six 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 996746480640 cubic inches would be around 832.4 feet tall.
Recreational maths with 996746480640
- 996746480640 backwards is 046084647699
- The number of decimal digits it has is: 12
- The sum of 996746480640's digits is 63
- More coming soon!
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