990307768320
990,307,768,320 is an even composite number composed of six prime numbers multiplied together.
990307768320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 990307768320:
211 × 32 × 5 × 133 × 67 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 13 × 67 × 73)See below for interesting mathematical facts about the number 990307768320 from the Numbermatics database.
Names of 990307768320
- Cardinal: 990307768320 can be written as Nine hundred ninety billion, three hundred seven million, seven hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 9.9030776832 × 1011
Factors of 990307768320
Divisors of 990307768320
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 67 72 73 78 80 90 96 104 117 120 128 130 134 144 146 156 160 169 180 192 195 201 208 219 234 240 256 260 268 288 292 312 320 335 338 360 365 384 390 402 416 438 468 480 507 512 520 536 576 584 585 603 624 640 657 670 676 720 730 768 780 804 832 845 871 876 936 949 960 1005 1014 1024 1040 1072 1095 1152 1168 1170 1206 1248 1280 1314 1340 1352 1440 1460 1521 1536 1560 1608 1664 1690 1742 1752 1872 1898 1920 2010 2028 2048 2080 2144 2190 2197 2304 2336 2340 2412 2496 2535 2560 2613 2628 2680 2704 2847 2880 2920 3015 3042 3072 3120 3216 3285 3328 3380 3484 3504 3744 3796 3840 4020 4056 4160 4288 4355 4380 4394 4608 4672 4680 4745 4824 4891 4992 5070 5120 5226 5256 5360 5408 5694 5760 5840 6030 6084 6144 6240 6432 6570 6591 6656 6760 6968 7008 7488 7592 7605 7680 7839 8040 8112 8320 8541 8576 8710 8760 8788 9216 9344 9360 9490 9648 9782 9984 10140 10240 10452 10512 10720 10816 10985 11323 11388 11520 11680 12060 12168 12337 12480 12864 13065 13140 13182 13312 13520 13936 14016 14235 14673 14976 15184 15210 15360 15678 16080 16224 16640 17082 17152 17420 17520 17576 18432 18688 18720 18980 19296 19564 19773 19968 20280 20904 21024 21440 21632 21970 22646 22776 23040 23360 24120 24336 24455 24674 24960 25728 26130 26280 26364 26624 27040 27872 28032 28470 29346 29952 30368 30420 30720 31356 32160 32448 32955 33280 33969 34164 34304 34840 35040 35152 37011 37376 37440 37960 38592 39128 39195 39546 39936 40560 41808 42048 42705 42880 43264 43940 44019 45292 45552 46080 46720 48240 48672 48910 49348 49920 51456 52260 52560 52728 54080 55744 56064 56615 56940 58692 59904 60736 60840 61685 62712 63583 64320 64896 65910 66560 67938 68328 68608 69680 70080 70304 73365 74022 74752 74880 75920 77184 78256 78390 79092 79872 81120 83616 84096 85410 85760 86528 87880 88038 90584 91104 92160 93440 96480 97344 97820 98696 98865 99840 101907 102912 104520 105120 105456 108160 111033 111488 112128 113230 113880 117384 119808 121472 121680 123370 125424 127166 128640 129792 131820 133120 135876 136656 137216 139360 140160 140608 146730 147199 148044 149504 149760 151840 154368 156512 156780 158184 160381 162240 167232 168192 169845 170820 171520 173056 175760 176076 181168 182208 185055 186880 190749 192960 194688 195640 197392 197730 199680 203814 205824 209040 210240 210912 216320 220095 222066 222976 224256 226460 227760 234768 239616 242944 243360 246740 250848 254332 257280 259584 263640 271752 273312 278720 280320 281216 293460 294398 296088 299520 303680 308736 313024 313560 316368 317915 320762 324480 334464 336384 339690 341640 343040 346112 351520 352152 362336 364416 370110 373760 381498 385920 389376 391280 394784 395460 399360 407628 411648 418080 420480 421824 432640 440190 441597 444132 445952 448512 452920 455520 469536 481143 485888 486720 493480 501696 508664 509535 514560 519168 527280 543504 546624 555165 557440 560640 562432 572247 586920 588796 592176 599040 607360 617472 626048 627120 632736 635830 641524 648960 668928 672768 679380 683280 686080 703040 704304 724672 728832 735995 740220 747520 762996 771840 778752 782560 789568 790920 801905 815256 826579 836160 840960 843648 865280 880380 883194 888264 891904 905840 911040 939072 953745 962286 971776 973440 986960 1003392 1017328 1019070 1029120 1038336 1054560 1087008 1093248 1110330 1114880 1121280 1124864 1144494 1173840 1177592 1184352 1198080 1214720 1234944 1252096 1254240 1265472 1271660 1283048 1297920 1324791 1337856 1345536 1358760 1366560 1406080 1408608 1443429 1449344 1457664 1471990 1480440 1525992 1543680 1557504 1565120 1579136 1581840 1603810 1630512 1653158 1672320 1681920 1687296 1730560 1760760 1766388 1776528 1783808 1811680 1822080 1878144 1907490 1924572 1943552 1946880 1973920 2006784 2034656 2038140 2058240 2109120 2174016 2186496 2207985 2220660 2229760 2242560 2249728 2288988 2347680 2355184 2368704 2405715 2429440 2479737 2504192 2508480 2530944 2543320 2566096 2595840 2649582 2675712 2717520 2733120 2812160 2817216 2861235 2886858 2898688 2915328 2943980 2960880 3051984 3087360 3115008 3130240 3158272 3163680 3207620 3261024 3306316 3344640 3363840 3374592 3521520 3532776 3553056 3623360 3644160 3756288 3814980 3849144 3893760 3947840 4013568 4069312 4076280 4132895 4218240 4348032 4372992 4415970 4441320 4459520 4499456 4577976 4695360 4710368 4737408 4811430 4858880 4959474 5008384 5016960 5061888 5086640 5132192 5191680 5299164 5351424 5435040 5466240 5624320 5634432 5722470 5773716 5797376 5830656 5887960 5921760 6103968 6174720 6260480 6316544 6327360 6415240 6522048 6612632 6623955 6689280 6727680 6749184 7043040 7065552 7106112 7217145 7246720 7288320 7439211 7512576 7629960 7698288 7787520 7895680 8027136 8138624 8152560 8265790 8436480 8696064 8745984 8831940 8882640 8919040 9155952 9390720 9420736 9474816 9622860 9717760 9918948 10016768 10033920 10123776 10173280 10264384 10598328 10745527 10870080 10932480 11248640 11268864 11444940 11547432 11594752 11775920 11843520 12207936 12398685 12520960 12633088 12654720 12830480 13044096 13225264 13247910 13378560 13498368 14086080 14131104 14212224 14434290 14493440 14576640 14878422 15025152 15259920 15396576 15575040 15791360 16054272 16277248 16305120 16531580 16872960 17392128 17491968 17663880 17765280 18311904 18781440 18841472 18949632 19245720 19837896 20067840 20247552 20346560 20528768 21196656 21491054 21740160 21864960 22497280 22537728 22889880 23094864 23189504 23551840 23687040 24415872 24797370 25041920 25266176 25309440 25660960 26088192 26450528 26495820 26757120 28172160 28262208 28424448 28868580 28986880 29153280 29756844 30050304 30519840 30793152 31582720 32236581 32554496 32610240 33063160 33745920 34784256 35327760 35530560 36623808 37196055 37562880 37682944 37899264 38491440 39675792 40135680 40495104 40693120 41057536 42393312 42982108 43480320 43729920 45075456 45779760 46189728 47103680 47374080 48831744 49594740 50083840 50618880 51321920 52176384 52901056 52991640 53727635 56344320 56524416 56848896 57737160 57973760 59513688 61039680 61586304 63165440 64473162 65108992 65220480 66126320 67491840 69568512 70655520 71061120 73247616 74392110 75125760 75365888 75798528 76982880 79351584 80271360 81386240 82115072 84786624 85964216 86960640 87459840 90150912 91559520 92379456 94207360 94748160 96709743 97663488 99189480 101237760 102643840 104352768 105802112 105983280 107455270 112688640 113048832 113697792 115474320 115947520 119027376 122079360 123172608 126330880 128946324 130217984 130440960 132252640 141311040 142122240 146495232 148784220 150251520 150731776 153965760 158703168 161182905 162772480 164230144 169573248 171928432 173921280 183119040 184758912 188414720 189496320 193419486 195326976 198378960 202475520 205287680 208705536 211604224 211966560 214910540 225377280 226097664 227395584 230948640 238054752 244158720 246345216 257892648 260881920 264505280 282622080 284244480 292990464 297568440 301463552 307931520 317406336 322365810 325544960 328460288 339146496 343856864 347842560 366238080 369517824 376829440 378992640 386838972 390653952 396757920 410575360 423208448 423933120 429821080 450754560 452195328 461897280 476109504 483548715 488317440 492690432 515785296 521763840 529010560 565244160 568488960 585980928 595136880 615863040 634812672 644731620 651089920 678292992 687713728 732476160 739035648 753658880 773677944 793515840 821150720 846416896 847866240 859642160 904390656 923794560 952219008 967097430 976634880 985380864 1031570592 1043527680 1058021120 1130488320 1136977920 1171961856 1190273760 1231726080 1269625344 1289463240 1356585984 1375427456 1464952320 1478071296 1507317760 1547355888 1587031680 1642301440 1692833792 1695732480 1719284320 1847589120 1904438016 1934194860 1953269760 2063141184 2116042240 2260976640 2380547520 2463452160 2539250688 2578926480 2713171968 2750854912 2929904640 2956142592 3094711776 3174063360 3391464960 3438568640 3695178240 3808876032 3868389720 4126282368 4232084480 4521953280 4761095040 4926904320 5078501376 5157852960 5501709824 5859809280 6189423552 6348126720 6782929920 6877137280 7390356480 7617752064 7736779440 8252564736 8464168960 9522190080 10315705920 11003419648 12378847104 12696253440 13565859840 13754274560 14780712960 15235504128 15473558880 16505129472 19044380160 20631411840 22006839296 24757694208 25392506880 27508549120 30947117760 33010258944 38088760320 41262823680 49515388416 55017098240 61894235520 66020517888 76177520640 82525647360 99030776832 110034196480 123788471040 165051294720 198061553664 247576942080 330102589440 495153884160 990307768320
- Sum of all divisors σ(n): 3825305265600
- Sum of proper divisors (its aliquot sum) s(n): 2834997497280
- 990307768320 is an abundant number, because the sum of its proper divisors (2834997497280) is greater than itself. Its abundance is 1844689728960
Bases of 990307768320
- Binary: 11100110100100101111000101011000000000002
- Hexadecimal: 0xE692F15800
- Base-36: CMXVOCG0
Squares and roots of 990307768320
- 990307768320 squared (9903077683202) is 980709475994938795622400
- 990307768320 cubed (9903077683203) is 971204212542824450307807529402368000
-
The
square root of 990307768320 is 995142.0844884413 -
The
cube root of 990307768320 is 9967.5876183221
Scales and comparisons
How big is 990307768320?- 990,307,768,320 seconds is equal to 31,488 years, 37 weeks, 4 days, 11 hours, 12 minutes.
-
To count from 1 to 990,307,768,320 would take you about sixty-two thousand, nine hundred seventy-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 990307768320 cubic inches would be around 830.6 feet tall.
Recreational maths with 990307768320
- 990307768320 backwards is 023867703099
- The number of decimal digits it has is: 12
- The sum of 990307768320's digits is 54
- More coming soon!
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The information we have on file for 990307768320 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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