828130736215200
828,130,736,215,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 828130736215200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
828130736215200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 828130736215200:
25 × 3 × 52 × 113 × 37 × 26472
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 11 × 37 × 2647 × 2647)See below for interesting mathematical facts about the number 828130736215200 from the Numbermatics database.
Names of 828130736215200
- Cardinal: 828130736215200 can be written as Eight hundred twenty-eight trillion, one hundred thirty billion, seven hundred thirty-six million, two hundred fifteen thousand, two hundred.
Scientific notation
- Scientific notation: 8.281307362152 × 1014
Factors of 828130736215200
Divisors of 828130736215200
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 37 40 44 48 50 55 60 66 74 75 80 88 96 100 110 111 120 121 132 148 150 160 165 176 185 200 220 222 240 242 264 275 296 300 330 352 363 370 400 407 440 444 480 484 528 550 555 592 600 605 660 726 740 800 814 825 880 888 925 968 1056 1100 1110 1184 1200 1210 1221 1320 1331 1452 1480 1628 1650 1760 1776 1815 1850 1936 2035 2200 2220 2400 2420 2442 2640 2647 2662 2775 2904 2960 3025 3256 3300 3552 3630 3700 3872 3993 4070 4400 4440 4477 4840 4884 5280 5294 5324 5550 5808 5920 6050 6105 6512 6600 6655 7260 7400 7941 7986 8140 8800 8880 8954 9075 9680 9768 10175 10588 10648 11100 11616 12100 12210 13024 13200 13235 13310 13431 14520 14800 15882 15972 16280 17760 17908 18150 19360 19536 19965 20350 21176 21296 22200 22385 24200 24420 26400 26470 26620 26862 29040 29117 29600 30525 31764 31944 32560 33275 35816 36300 39072 39705 39930 40700 42352 42592 44400 44770 48400 48840 49247 52940 53240 53724 58080 58234 61050 63528 63888 65120 66175 66550 67155 71632 72600 79410 79860 81400 84704 87351 88800 89540 96800 97680 97939 98494 99825 105880 106480 107448 111925 116468 122100 127056 127776 132350 133100 134310 143264 145200 145585 147741 158820 159720 162800 174702 179080 195360 195878 196988 198525 199650 211760 212960 214896 223850 232936 244200 246235 254112 264700 266200 268620 290400 291170 293817 295482 317640 319440 320287 325600 335775 349404 358160 391756 393976 397050 399300 423520 429792 436755 447700 465872 488400 489695 492470 529400 532400 537240 582340 587634 590964 635280 638880 640574 671550 698808 716320 727925 738705 783512 787952 794100 798600 873510 895400 931744 960861 976800 979390 984940 1058800 1064800 1074480 1077329 1164680 1175268 1181928 1231175 1270560 1281148 1343100 1397616 1455850 1469085 1477410 1567024 1575904 1588200 1597200 1601435 1747020 1790800 1921722 1958780 1969880 2117600 2148960 2154658 2183775 2329360 2350536 2363856 2448475 2462350 2562296 2686200 2795232 2911700 2938170 2954820 3134048 3176400 3194400 3202870 3231987 3494040 3523157 3581600 3693525 3843444 3917560 3939760 4309316 4367550 4658720 4701072 4727712 4804305 4896950 4924700 5124592 5372400 5386645 5823400 5876340 5909640 6352800 6405740 6463974 6988080 7006609 7046314 7345425 7387050 7686888 7835120 7879520 8007175 8618632 8735100 9402144 9608610 9793900 9849400 10249184 10569471 10744800 10773290 11646800 11752680 11819280 11850619 12811480 12927948 13976160 14013218 14092628 14690850 14774100 15373776 15670240 16014350 16159935 17237264 17470200 17615785 19217220 19587800 19698800 21019827 21138942 21546580 23293600 23505360 23638560 23701238 24021525 25622960 25855896 26933225 28026436 28185256 29381700 29548200 30747552 32028700 32319870 34474528 34940400 35033045 35231570 35551857 38434440 39175600 39397600 42039654 42277884 43093160 47010720 47402476 48043050 51245920 51711792 52847355 53866450 56052872 56370512 58763400 59096400 59253095 64057400 64639740 69880800 70066090 70463140 71103714 76868880 77072699 78351200 80799675 84079308 84555768 86186320 88078925 94804952 96086100 103423584 105099135 105694710 107732900 112105744 112741024 117526800 118192800 118506190 128114800 129279480 130356809 140132180 140926280 142207428 153737760 154145398 161599350 168158616 169111536 172372640 175165225 176157850 177759285 189609904 192172200 210198270 211389420 215465800 224211488 231218097 235053600 237012380 256229600 258558960 259244533 260713618 264236775 280264360 281852560 284414856 296265475 308290796 323198700 336317232 338223072 350330450 352315700 355518570 379219808 384344400 385363495 391070427 420396540 422778840 430931600 462436194 474024760 517117920 518489066 521427236 525495675 528473550 560528720 563705120 568829712 592530950 616581592 646397400 651784045 672634464 700660900 704631400 711037140 768688800 770726990 777733599 782140854 840793080 845557680 847799689 861863200 888796425 924872388 948049520 1036978132 1042854472 1050991350 1056947100 1121057440 1137659424 1156090485 1185061900 1233163184 1292794800 1296222665 1303568090 1401321800 1409262800 1422074280 1541453980 1555467198 1564281708 1681586160 1691115360 1695599378 1777592850 1849744776 1896099040 1926817475 1955352135 2073956264 2085708944 2101982700 2113894200 2312180970 2370123800 2466326368 2543399067 2585589600 2592445330 2607136180 2802643600 2818525600 2844148560 2851689863 3082907960 3110934396 3128563416 3258920225 3363172320 3391198756 3555185700 3699489552 3853634950 3888667995 3910704270 4147912528 4171417888 4203965400 4227788400 4238998445 4624361940 4740247600 5086798134 5184890660 5214272360 5605287200 5688297120 5703379726 5780452425 6165815920 6221868792 6257126832 6481113325 6517840450 6782397512 7110371400 7398979104 7707269900 7777335990 7821408540 8295825056 8407930800 8455576800 8477996890 8555069589 9248723880 9325796579 9480495200 9776760675 10173596268 10369781320 10428544720 11406759452 11560904850 12331631840 12443737584 12514253664 12716995335 12962226650 13035680900 13564795024 14220742800 14258449315 15414539800 15554671980 15642817080 16815861600 16955993780 17110139178 18497447760 18651593158 19443339975 19553521350 20347192536 20739562640 20857089440 21194992225 22813518904 23121809700 24887475168 25433990670 25924453300 26071361800 27129590048 27977389737 28441485600 28516898630 30829079600 31109343960 31285634160 31368588493 33911987560 34220278356 36994895520 37303186316 38886679950 39107042700 40694385072 41479125280 42389984450 42775347945 45627037808 46243619400 46628982895 50867981340 51848906600 52142723600 55954779474 57033797260 61658159200 62218687920 62571268320 62737176986 63584976675 67823975120 68440556712 71292246575 74606372632 77773359900 78214085400 81388770144 84779968900 85550695890 91254075616 92487238800 93257965790 94105765479 101735962680 103697813200 104285447200 111909558948 114067594520 124437375840 125474353972 127169953350 135647950240 136881113424 139886948685 142584493150 149212745264 155546719800 156428170800 156842942465 169559937800 171101391780 184974477600 186515931580 188211530958 203471925360 207395626400 213876739725 223819117896 228135189040 233144914475 250948707944 254339906700 273762226848 279773897370 285168986300 298425490528 311093439600 312856341600 313685884930 339119875600 342202783560 345054473423 373031863160 376423061916 406943850720 427753479450 447638235792 456270378080 466289828950 470528827395 501897415888 508679813400 559547794740 570337972600 622186879200 627371769860 678239751200 684405567120 690108946846 699434743425 746063726320 752846123832 784214712325 855506958900 895276471584 932579657900 941057654790 1003794831776 1017359626800 1035163420269 1119095589480 1140675945200 1254743539720 1368811134240 1380217893692 1398869486850 1492127452640 1505692247664 1568429424650 1711013917800 1725272367115 1865159315800 1882115309580 2034719253600 2070326840538 2238191178960 2281351890400 2352644136975 2509487079440 2760435787384 2797738973700 3011384495328 3136858849300 3422027835600 3450544734230 3730318631600 3764230619160 4140653681076 4476382357920 4705288273950 5018974158880 5175817101345 5520871574768 5595477947400 6273717698600 6844055671200 6901089468460 7460637263200 7528461238320 8281307362152 8626361835575 9410576547900 10351634202690 11041743149536 11190955894800 12547435397200 13802178936920 15056922476640 16562614724304 17252723671150 18821153095800 20703268405380 22381911789600 25094870794400 25879085506725 27604357873840 33125229448608 34505447342300 37642306191600 41406536810760 51758171013450 55208715747680 69010894684600 75284612383200 82813073621520 103516342026900 138021789369200 165626147243040 207032684053800 276043578738400 414065368107600 828130736215200
- Sum of all divisors σ(n): 3046203354132288
- Sum of proper divisors (its aliquot sum) s(n): 2218072617917088
- 828130736215200 is an abundant number, because the sum of its proper divisors (2218072617917088) is greater than itself. Its abundance is 1389941881701888
Bases of 828130736215200
- Binary: 101111000100101110001101100101110000010100101000002
- Hexadecimal: 0x2F12E365C14A0
- Base-36: 85JQ0AN25C
Squares and roots of 828130736215200
- 828130736215200 squared (8281307362152002) is 685800516264329164820711040000
- 828130736215200 cubed (8281307362152003) is 567932486430743152909324377867942455808000000
-
The
square root of 828130736215200 is 28777260.7489872115 -
The
cube root of 828130736215200 is 93907.3606788093
Scales and comparisons
How big is 828130736215200?- 828,130,736,215,200 seconds is equal to 26,331,995 years, 43 weeks, 2 days, 23 hours, 20 minutes.
-
To count from 1 to 828,130,736,215,200 would take you about sixty-five million, eight hundred twenty-nine thousand, nine hundred eighty-nine 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 828130736215200 cubic inches would be around 7825.6 feet tall.
Recreational maths with 828130736215200
- 828130736215200 backwards is 002512637031828
- 828130736215200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 828130736215200's digits is 48
- More coming soon!
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The information we have on file for 828130736215200 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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