6828371137536000
6,828,371,137,536,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 6828371137536000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3360 divisors.
6828371137536000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 6828371137536000:
213 × 3 × 53 × 132 × 234 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 23 × 23 × 23 × 23 × 47)See below for interesting mathematical facts about the number 6828371137536000 from the Numbermatics database.
Names of 6828371137536000
- Cardinal: 6828371137536000 can be written as Six quadrillion, eight hundred twenty-eight trillion, three hundred seventy-one billion, one hundred thirty-seven million, five hundred thirty-six thousand.
Scientific notation
- Scientific notation: 6.828371137536 × 1015
Factors of 6828371137536000
Divisors of 6828371137536000
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 25 26 30 32 39 40 46 47 48 50 52 60 64 65 69 75 78 80 92 94 96 100 104 115 120 125 128 130 138 141 150 156 160 169 184 188 192 195 200 208 230 235 240 250 256 260 276 282 299 300 312 320 325 338 345 368 375 376 384 390 400 416 460 470 480 500 507 512 520 529 552 564 575 598 600 611 624 640 650 676 690 705 736 750 752 768 780 800 832 845 897 920 940 960 975 1000 1014 1024 1040 1058 1081 1104 1128 1150 1175 1196 1200 1222 1248 1280 1300 1352 1380 1410 1472 1495 1500 1504 1536 1560 1587 1600 1625 1664 1690 1725 1794 1833 1840 1880 1920 1950 2000 2028 2048 2080 2116 2162 2208 2256 2300 2350 2392 2400 2444 2496 2535 2560 2600 2645 2704 2760 2820 2875 2944 2990 3000 3008 3055 3072 3120 3174 3200 3243 3250 3328 3380 3450 3525 3588 3666 3680 3760 3840 3887 3900 4000 4056 4096 4160 4225 4232 4324 4416 4485 4512 4600 4700 4784 4800 4875 4888 4992 5070 5120 5200 5290 5405 5408 5520 5640 5750 5875 5888 5980 6000 6016 6110 6144 6240 6348 6400 6486 6500 6656 6760 6877 6900 7050 7176 7332 7360 7475 7520 7680 7774 7800 7935 7943 8000 8112 8192 8320 8450 8464 8625 8648 8832 8970 9024 9165 9200 9400 9568 9600 9750 9776 9984 10140 10240 10400 10580 10810 10816 11040 11280 11500 11661 11750 11776 11960 12000 12032 12167 12220 12288 12480 12675 12696 12800 12972 13000 13225 13312 13520 13754 13800 14053 14100 14352 14664 14720 14950 15040 15275 15360 15548 15600 15870 15886 16000 16215 16224 16640 16900 16928 17250 17296 17625 17664 17940 18048 18330 18400 18800 19136 19200 19435 19500 19552 19968 20280 20480 20631 20800 21125 21160 21620 21632 22080 22425 22560 23000 23322 23500 23552 23829 23920 24000 24064 24334 24440 24576 24863 24960 25350 25392 25600 25944 26000 26450 26624 27025 27040 27508 27600 28106 28200 28704 29328 29440 29900 30080 30550 30720 31096 31200 31740 31772 32000 32430 32448 33280 33800 33856 34385 34500 34592 35250 35328 35880 36096 36501 36660 36800 37375 37600 38272 38400 38870 39000 39104 39675 39715 39936 40560 40960 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7003457576960 7112886601600 7264224614400 7422142540800 7612453888000 8080912588800 8207176848000 8535463921920 8754321971200 8891108252000 9080280768000 9104494850048 9277678176000 9685632819200 9896190054400 10101140736000 10505186365440 10669329902400 10942902464000 11175730176000 11380618562560 11418680832000 11875428065280 12107041024000 12370237568000 12908073984000 13131482956800 13336662378000 13468187648000 13656742275072 14225773203200 14528449228800 14844285081600 16414353696000 17070927843840 17508643942400 17782216504000 18160561536000 18208989700096 18555356352000 19792380108800 20202281472000 21010372730880 21338659804800 21885804928000 22761237125120 22837361664000 24214082048000 24740475136000 26262965913600 26673324756000 27313484550144 28451546406400 29056898457600 29688570163200 32828707392000 34141855687680 35017287884800 35564433008000 36321123072000 37110712704000 40404562944000 42677319609600 43771609856000 45522474250240 48428164096000 49480950272000 52525931827200 53346649512000 54626969100288 56903092812800 59377140326400 65657414784000 68283711375360 71128866016000 72642246144000 74221425408000 85354639219200 87543219712000 91044948500480 98961900544000 105051863654400 106693299024000 113806185625600 131314829568000 136567422750720 142257732032000 145284492288000 148442850816000 170709278438400 175086439424000 213386598048000 227612371251200 262629659136000 273134845501440 284515464064000 296885701632000 341418556876800 426773196096000 455224742502400 525259318272000 569030928128000 682837113753600 853546392192000 1138061856256000 1365674227507200 1707092784384000 2276123712512000 3414185568768000 6828371137536000
- Sum of all divisors σ(n): 26271615529905408
- Sum of proper divisors (its aliquot sum) s(n): 19443244392369408
- 6828371137536000 is an abundant number, because the sum of its proper divisors (19443244392369408) is greater than itself. Its abundance is 12614873254833408
Bases of 6828371137536000
- Binary: 110000100001001011110000011000000110000100000000000002
- Hexadecimal: 0x18425E0C0C2000
- Base-36: 1V8GEE7YY2O
Squares and roots of 6828371137536000
- 6828371137536000 squared (68283711375360002) is 46626652391934686628151296000000
- 6828371137536000 cubed (68283711375360003) is 318384087433010711442885153308232646656000000000
-
The
square root of 6828371137536000 is 82633958.7429768489 -
The
cube root of 6828371137536000 is 189716.7630012525
Scales and comparisons
How big is 6828371137536000?- 6,828,371,137,536,000 seconds is equal to 217,121,080 years, 33 weeks, 2 hours, 40 minutes.
-
To count from 1 to 6,828,371,137,536,000 would take you about six hundred fifty-one million, three hundred sixty-three thousand, two hundred forty-one 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 6828371137536000 cubic inches would be around 15809.7 feet tall.
Recreational maths with 6828371137536000
- 6828371137536000 backwards is 0006357311738286
- 6828371137536000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 6828371137536000's digits is 60
- More coming soon!
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Cite this page
MLA style:
"Number 6828371137536000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 6828371137536000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/6828371137536000/
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Numbermatics. 2024. "Number 6828371137536000 - Facts about the integer". https://numbermatics.com/n/6828371137536000/
The information we have on file for 6828371137536000 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!
Keywords: Divisors of 6828371137536000, math, Factors of 6828371137536000, curriculum, school, college, exams, university, Prime factorization of 6828371137536000, STEM, science, technology, engineering, physics, economics, calculator, six quadrillion, eight hundred twenty-eight trillion, three hundred seventy-one billion, one hundred thirty-seven million, five hundred thirty-six thousand.