828138991680
828,138,991,680 is an even composite number composed of eight prime numbers multiplied together.
828138991680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 828138991680:
26 × 32 × 5 × 7 × 11 × 132 × 19 × 1163
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 13 × 13 × 19 × 1163)See below for interesting mathematical facts about the number 828138991680 from the Numbermatics database.
Names of 828138991680
- Cardinal: 828138991680 can be written as Eight hundred twenty-eight billion, one hundred thirty-eight million, nine hundred ninety-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 8.2813899168 × 1011
Factors of 828138991680
Divisors of 828138991680
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 21 22 24 26 28 30 32 33 35 36 38 39 40 42 44 45 48 52 55 56 57 60 63 64 65 66 70 72 76 77 78 80 84 88 90 91 95 96 99 104 105 110 112 114 117 120 126 130 132 133 140 143 144 152 154 156 160 165 168 169 171 176 180 182 190 192 195 198 208 209 210 220 224 228 231 234 240 247 252 260 264 266 273 280 285 286 288 304 308 312 315 320 330 336 338 342 352 360 364 380 385 390 396 399 416 418 420 429 440 448 455 456 462 468 480 494 495 504 507 520 528 532 546 560 570 572 576 585 608 616 624 627 630 660 665 672 676 684 693 704 715 720 728 741 760 770 780 792 798 819 832 836 840 845 855 858 880 910 912 924 936 960 988 990 1001 1008 1014 1040 1045 1056 1064 1092 1120 1140 1144 1155 1163 1170 1183 1197 1216 1232 1235 1248 1254 1260 1287 1320 1330 1344 1352 1365 1368 1386 1430 1440 1456 1463 1482 1520 1521 1540 1560 1584 1596 1638 1672 1680 1690 1710 1716 1729 1760 1820 1824 1848 1859 1872 1881 1976 1980 1995 2002 2016 2028 2080 2090 2112 2128 2145 2184 2223 2240 2280 2288 2310 2326 2340 2366 2394 2464 2470 2496 2508 2520 2535 2574 2640 2660 2704 2717 2730 2736 2772 2860 2880 2912 2926 2964 3003 3040 3042 3080 3120 3135 3168 3192 3211 3276 3344 3360 3380 3420 3432 3458 3465 3489 3520 3549 3640 3648 3696 3705 3718 3744 3762 3952 3960 3990 4004 4032 4056 4095 4160 4180 4256 4290 4368 4389 4446 4560 4576 4620 4652 4680 4732 4788 4928 4940 5005 5016 5040 5070 5148 5187 5280 5320 5408 5434 5460 5472 5544 5577 5720 5815 5824 5852 5915 5928 5985 6006 6080 6084 6160 6240 6270 6336 6384 6422 6435 6552 6688 6720 6760 6840 6864 6916 6930 6978 7098 7280 7315 7392 7410 7436 7488 7524 7605 7904 7920 7980 8008 8112 8141 8151 8190 8360 8512 8580 8645 8736 8778 8892 9009 9120 9152 9240 9295 9304 9360 9405 9464 9576 9633 9880 10010 10032 10080 10140 10296 10374 10467 10560 10640 10647 10816 10868 10920 10944 11088 11115 11154 11440 11630 11704 11830 11856 11970 12012 12168 12320 12480 12540 12768 12793 12844 12870 13013 13104 13167 13376 13520 13585 13680 13728 13832 13860 13956 14196 14560 14630 14784 14820 14872 15015 15048 15119 15210 15561 15808 15840 15960 16016 16055 16224 16282 16302 16380 16720 16731 17160 17290 17445 17472 17556 17745 17784 18018 18240 18480 18590 18608 18720 18810 18928 19019 19152 19266 19760 20020 20064 20160 20280 20592 20748 20934 21280 21294 21736 21840 21945 22097 22176 22230 22308 22477 22880 23260 23408 23660 23712 23940 24024 24336 24423 24453 24640 25080 25536 25586 25688 25740 25935 26026 26208 26334 27040 27170 27360 27456 27664 27720 27885 27912 28392 28899 29120 29260 29640 29744 30030 30096 30238 30420 31122 31680 31920 32032 32110 32448 32564 32604 32760 33440 33462 34320 34580 34890 35112 35321 35490 35568 36036 36960 37180 37216 37440 37620 37856 38038 38304 38379 38532 39039 39520 40040 40128 40560 40705 40755 41184 41496 41868 42560 42588 43472 43680 43890 44194 44352 44460 44616 44954 45045 45357 45760 46520 46816 47320 47424 47880 48048 48165 48672 48846 48906 50160 51172 51376 51480 51870 52052 52335 52416 52668 53235 54080 54340 54720 55328 55440 55770 55824 56784 57057 57798 58520 59280 59488 60060 60192 60476 60840 62244 63840 63965 64064 64220 65065 65128 65208 65520 65835 66291 66880 66924 67431 68640 69160 69780 70224 70642 70980 71136 72072 73269 73920 74360 74432 75240 75595 75712 76076 76608 76758 77064 77805 78078 79040 80080 81120 81410 81510 82368 82992 83655 83736 85176 86944 87360 87780 88388 88920 89232 89551 89908 90090 90714 93040 93632 94640 95095 95760 96096 96330 97344 97692 97812 100320 102344 102752 102960 103740 104104 104670 105336 105833 105963 106470 108680 110485 110656 110880 111540 111648 112385 113568 114114 115137 115596 117040 117117 118560 118976 120120 120384 120952 121680 122115 122265 124488 127680 127930 128440 130130 130256 130416 131040 131670 132582 133848 134862 136071 137280 138320 139560 140448 141284 141960 142272 144144 144495 146538 148720 150480 151190 152152 153516 154128 154679 155610 156156 160160 162240 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101724480 102088140 103413960 103776816 104563004 104774670 108894016 110066320 110595485 111368880 111759648 112031790 113211072 113755356 116672160 118678560 119500576 119742480 120649620 121072952 122505768 123234969 123824610 126394840 128692928 128953440 129721020 130703755 132079584 132714582 134438148 136117520 136207071 137885280 138369088 139699560 140006592 141513840 142194195 142414272 144779544 148491840 149375720 151341190 151673808 152399520 153132210 155665224 156844506 159656640 160866160 163341024 164313292 165099480 165462336 167639472 168047685 172961360 175008240 176952776 178017840 179250864 180974430 181609428 186266080 188685120 189592260 193039392 194581530 198119376 199071873 202231744 204176280 205391615 206827920 207553632 209126008 209549340 220132640 221190970 222737760 223519296 224063580 227011785 227510712 233344320 235266759 237357120 239001152 239484960 241299240 242145904 245011536 246469938 247649220 252789680 257906880 259442040 261407510 264159168 265429164 268876296 272235040 272414142 275770560 279399120 283027680 284388390 287548261 289559088 298751440 302682380 303347616 304799040 306264420 311330448 313689012 321732320 326682048 328626584 330198960 331786455 335278944 336095370 345922720 350016480 353905552 356035680 358501728 361948860 363218856 369704907 372532160 379184520 386078784 389163060 392111265 396238752 398143746 408352560 410783230 413655840 415107264 418252016 419098680 440265280 442381940 445475520 448127160 454023570 455021424 470533518 478969920 482598480 484291808 490023072 492939876 495298440 505579360 518884080 522815020 530858328 537752592 544470080 544828284 558798240 566055360 568776780 575096522 579118176 597502880 605364760 606695232 612528840 616174845 622660896 627378024 643464640 657253168 660397920 663572910 670557888 672190740 681035355 691845440 700032960 707811104 712071360 717003456 723897720 726437712 739409814 758369040 778326120 784222530 792477504 796287492 816705120 821566460 827311680 836504032 838197360 862644783 884763880 896254320 908047140 910042848 941067036 965196960 968583616 980046144 985879752 990596880 995359365 1011158720 1037768160 1045630040 1061716656 1075505184 1089656568 1117596480 1137553560 1150193044 1158236352 1176333795 1195005760 1210729520 1225057680 1232349690 1245321792 1254756048 1314506336 1320795840 1327145820 1344381480 1362070710 1415622208 1437741305 1447795440 1452875424 1478819628 1516738080 1556652240 1568445060 1592574984 1633410240 1643132920 1673008064 1676394720 1725289566 1769527760 1792508640 1816094280 1820085696 1848524535 1882134072 1930393920 1971759504 1981193760 1990718730 2075536320 2091260080 2123433312 2151010368 2179313136 2275107120 2300386088 2352667590 2421459040 2450115360 2464699380 2509512096 2587934349 2629012672 2654291640 2688762960 2724141420 2875482610 2895590880 2905750848 2957639256 3033476160 3113304480 3136890120 3185149968 3286265840 3352789440 3450579132 3539055520 3585017280 3632188560 3697049070 3764268144 3943519008 3962387520 3981437460 4182520160 4246866624 4313223915 4358626272 4550214240 4600772176 4705335180 4842918080 4900230720 4929398760 5019024192 5175868698 5308583280 5377525920 5448282840 5750965220 5791181760 5915278512 6226608960 6273780240 6370299936 6572531680 6901158264 7078111040 7264377120 7394098140 7528536288 7887038016 7962874920 8365040320 8626447830 8717252544 9100428480 9201544352 9410670360 9858797520 10351737396 10617166560 10755051840 10896565680 11501930440 11830557024 12547560480 12740599872 12939671745 13145063360 13802316528 14528754240 14788196280 15057072576 15925749840 17252895660 18403088704 18821340720 19717595040 20703474792 21234333120 21793131360 23003860880 23661114048 25095120960 25879343490 27604633056 29576392560 31851499680 34505791320 37642681440 39435190080 41406949584 43586262720 46007721760 51758686980 55209266112 59152785120 63702999360 69011582640 75285362880 82813899168 92015443520 103517373960 118305570240 138023165280 165627798336 207034747920 276046330560 414069495840 828138991680
- Sum of all divisors σ(n): 4051385994240
- Sum of proper divisors (its aliquot sum) s(n): 3223247002560
- 828138991680 is an abundant number, because the sum of its proper divisors (3223247002560) is greater than itself. Its abundance is 2395108010880
Bases of 828138991680
- Binary: 11000000110100001110111000110000010000002
- Hexadecimal: 0xC0D0EE3040
- Base-36: AKFWKNK0
Squares and roots of 828138991680
- 828138991680 squared (8281389916802) is 685814189540767109222400
- 828138991680 cubed (8281389916803) is 567949471406127276085146764869632000
-
The
square root of 828138991680 is 910021.4237478147 -
The
cube root of 828138991680 is 9390.7672725487
Scales and comparisons
How big is 828138991680?- 828,138,991,680 seconds is equal to 26,332 years, 13 weeks, 3 days, 48 minutes.
-
To count from 1 to 828,138,991,680 would take you about fifty-two thousand, six hundred sixty-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 828138991680 cubic inches would be around 782.6 feet tall.
Recreational maths with 828138991680
- 828138991680 backwards is 086199831828
- 828138991680 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 828138991680's digits is 63
- More coming soon!
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"Number 828138991680 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 828138991680 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/828138991680/
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The information we have on file for 828138991680 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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