13768027812044800
13,768,027,812,044,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 13768027812044800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2688 divisors.
13768027812044800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 13768027812044800:
213 × 52 × 7 × 193 × 313 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 19 × 19 × 19 × 31 × 31 × 31 × 47)See below for interesting mathematical facts about the number 13768027812044800 from the Numbermatics database.
Names of 13768027812044800
- Cardinal: 13768027812044800 can be written as Thirteen quadrillion, seven hundred sixty-eight trillion, twenty-seven billion, eight hundred twelve million, forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.37680278120448 × 1016
Factors of 13768027812044800
Divisors of 13768027812044800
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 31 32 35 38 40 47 50 56 62 64 70 76 80 94 95 100 112 124 128 133 140 152 155 160 175 188 190 200 217 224 235 248 256 266 280 304 310 320 329 350 361 376 380 400 434 448 470 475 496 512 532 560 589 608 620 640 658 665 700 722 752 760 775 800 868 893 896 940 950 961 992 1024 1064 1085 1120 1175 1178 1216 1240 1280 1316 1330 1400 1444 1457 1504 1520 1550 1600 1645 1736 1786 1792 1805 1880 1900 1922 1984 2048 2128 2170 2240 2350 2356 2432 2480 2527 2560 2632 2660 2800 2888 2914 2945 3008 3040 3100 3200 3290 3325 3472 3572 3584 3610 3760 3800 3844 3968 4096 4123 4256 4340 4465 4480 4700 4712 4805 4864 4960 5054 5120 5264 5320 5425 5600 5776 5828 5890 6016 6080 6200 6251 6400 6580 6650 6727 6859 6944 7144 7168 7220 7285 7520 7600 7688 7936 8192 8225 8246 8512 8680 8930 8960 9025 9400 9424 9610 9728 9920 10108 10199 10240 10528 10640 10850 11191 11200 11552 11656 11780 12032 12160 12400 12502 12635 12800 13160 13300 13454 13718 13888 14288 14336 14440 14570 14725 15040 15200 15376 15872 16450 16492 16967 17024 17360 17860 17920 18050 18259 18800 18848 19220 19456 19840 20216 20398 20480 20615 21056 21280 21700 22325 22382 22400 23104 23312 23560 24025 24064 24320 24800 25004 25270 25600 26320 26600 26908 27436 27683 27776 28576 28672 28880 29140 29450 29791 30080 30400 30752 31255 31744 32900 32984 33635 33934 34048 34295 34720 35720 35840 36100 36425 36518 37600 37696 38440 38912 39680 40432 40796 40960 41230 42112 42560 43400 44650 44764 44800 45167 46208 46624 47120 48013 48050 48128 48640 49600 50008 50540 50995 51200 52640 53200 53816 54872 55366 55552 55955 57152 57344 57760 58280 58900 59582 60160 60800 61504 62510 63175 63488 65800 65968 67270 67868 68096 68590 69440 71440 71680 72200 72850 73036 75200 75392 76880 77824 78337 79360 80864 81592 82460 84224 84835 85120 86800 89300 89528 89600 90334 91295 92416 93248 94240 96026 96100 96256 97280 99200 100016 101080 101990 102400 103075 105280 106400 107632 109744 110732 111104 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497345945600 501823436800 511670425600 517595030528 523101360640 537813586408 544836874240 550633011200 555162411776 566119564640 572142113200 573070876672 584381486080 590598310400 595915331200 614644098752 615138406400 616708972544 634471327744 646993788160 653876700800 667864555520 672266983010 674969497600 681046092800 693953014720 707649455800 716338595840 730476857600 732341904896 754040627200 762771623936 768305123440 770886215680 793089159680 808742235200 811459174400 834830694400 836962177024 867441268400 895423244800 905791303424 915427381120 935010377728 944957296640 953464529920 960381404300 963607769600 991361449600 1003646873600 1023340851200 1035190061056 1046202721280 1075627172816 1089673748480 1101266022400 1110324823552 1132239129280 1144284226400 1168762972160 1181196620800 1191830662400 1229288197504 1230276812800 1268942655488 1293987576320 1307753401600 1344533966020 1349938995200 1362092185600 1387906029440 1415298911600 1432677191680 1460953715200 1464683809792 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5858735239168 6146440987520 6344713277440 6469937881600 6722669830100 6939530147200 7163385958400 7246330427392 7323419048960 7627716239360 7683051234400 7708862156800 7930891596800 8369621770240 8605017382528 8882598588416 9057913034240 9154273811200 9449572966400 9534645299200 9834305580032 10351900610560 10462027212800 10756271728160 11103248235520 11322391292800 11687629721600 11717470478336 12292881975040 12689426554880 12939875763200 13445339660200 13879060294400 14326771916800 14492660854784 14646838097920 15366102468800 15417724313600 15861783193600 17210034765056 17765197176832 18115826068480 18308547622400 19069290598400 19668611160064 20703801221120 20924054425600 21512543456320 22206496471040 22644782585600 23375259443200 24585763950080 25879751526400 26890679320400 27758120588800 28985321709568 29293676195840 30732204937600 31723566387200 34420069530112 36231652136960 36617095244800 38138581196800 39337222320128 41848108851200 43025086912640 44412992942080 45289565171200 49171527900160 51759503052800 53781358640800 55516241177600 58587352391680 61464409875200 63447132774400 68840139060224 72463304273920 73234190489600 78674444640256 86050173825280 88825985884160 90579130342400 98343055800320 103519006105600 107562717281600 111032482355200 122928819750400 137680278120448 144926608547840 146468380979200 172100347650560 181158260684800 196686111600640 215125434563200 222064964710400 245857639500800 275360556240896 292936761958400 344200695301120 362316521369600 393372223201280 430250869126400 444129929420800 491715279001600 550721112481792 688401390602240 724633042739200 860501738252800 983430558003200 1376802781204480 1721003476505600 1966861116006400 2753605562408960 3442006953011200 6884013906022400 13768027812044800
- Sum of all divisors σ(n): 43466029058949120
- Sum of proper divisors (its aliquot sum) s(n): 29698001246904320
- 13768027812044800 is an abundant number, because the sum of its proper divisors (29698001246904320) is greater than itself. Its abundance is 15929973434859520
Bases of 13768027812044800
- Binary: 1100001110100111110010110001101111111010100000000000002
- Hexadecimal: 0x30E9F2C6FEA000
- Base-36: 3RKCWNRCIKG
Squares and roots of 13768027812044800
- 13768027812044800 squared (137680278120448002) is 189558589833239122635957207040000
- 13768027812044800 cubed (137680278120448003) is 2609847936836028907322866690462653079355392000000
-
The
square root of 13768027812044800 is 117337239.6643316303 -
The
cube root of 13768027812044800 is 239675.6487237703
Scales and comparisons
How big is 13768027812044800?- 13,768,027,812,044,800 seconds is equal to 437,780,697 years, 6 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,768,027,812,044,800 would take you about one billion, three hundred thirteen million, three hundred forty-two thousand and ninety-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 13768027812044800 cubic inches would be around 19973 feet tall.
Recreational maths with 13768027812044800
- 13768027812044800 backwards is 00844021872086731
- The number of decimal digits it has is: 17
- The sum of 13768027812044800's digits is 61
- More coming soon!
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Cite this page
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"Number 13768027812044800 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 13768027812044800 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/13768027812044800/
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The information we have on file for 13768027812044800 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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