21398657049856800
21,398,657,049,856,800 is an even composite number composed of seven prime numbers multiplied together.
21398657049856800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 21398657049856800:
25 × 35 × 52 × 7 × 19 × 31 × 51672
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 19 × 31 × 5167 × 5167)See below for interesting mathematical facts about the number 21398657049856800 from the Numbermatics database.
Names of 21398657049856800
- Cardinal: 21398657049856800 can be written as Twenty-one quadrillion, three hundred ninety-eight trillion, six hundred fifty-seven billion, forty-nine million, eight hundred fifty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 2.13986570498568 × 1016
Factors of 21398657049856800
Divisors of 21398657049856800
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 31 32 35 36 38 40 42 45 48 50 54 56 57 60 62 63 70 72 75 76 80 81 84 90 93 95 96 100 105 108 112 114 120 124 126 133 135 140 144 150 152 155 160 162 168 171 175 180 186 189 190 200 210 216 217 224 225 228 240 243 248 252 266 270 279 280 285 288 300 304 310 315 324 336 342 350 360 372 378 380 399 400 405 420 432 434 450 456 465 475 480 486 496 504 513 525 532 540 558 560 567 570 589 600 608 620 630 648 651 665 672 675 684 700 720 744 756 760 775 798 800 810 837 840 855 864 868 900 912 930 945 950 972 992 1008 1026 1050 1064 1080 1085 1116 1120 1134 1140 1178 1197 1200 1215 1240 1260 1296 1302 1330 1350 1368 1395 1400 1425 1440 1488 1512 1520 1539 1550 1575 1596 1620 1674 1680 1701 1710 1736 1767 1800 1824 1860 1890 1900 1944 1953 1995 2016 2025 2052 2100 2128 2160 2170 2232 2268 2280 2325 2356 2394 2400 2430 2480 2511 2520 2565 2592 2604 2660 2700 2736 2790 2800 2835 2850 2945 2976 3024 3040 3078 3100 3150 3192 3240 3255 3325 3348 3360 3402 3420 3472 3534 3591 3600 3720 3780 3800 3888 3906 3990 4050 4104 4123 4185 4200 4256 4275 4320 4340 4464 4536 4560 4617 4650 4712 4725 4788 4860 4960 5022 5040 5130 5167 5208 5301 5320 5400 5425 5472 5580 5600 5670 5700 5859 5890 5985 6048 6075 6156 6200 6300 6384 6480 6510 6650 6696 6804 6840 6944 6975 7068 7182 7200 7440 7533 7560 7600 7695 7776 7812 7980 8100 8208 8246 8370 8400 8505 8550 8680 8835 8928 9072 9120 9234 9300 9424 9450 9576 9720 9765 9975 10044 10080 10260 10334 10416 10602 10640 10773 10800 10850 11160 11340 11400 11718 11780 11970 12150 12312 12369 12400 12555 12600 12768 12825 12960 13020 13300 13392 13608 13680 13950 14136 14175 14364 14725 14880 15066 15120 15200 15390 15501 15624 15903 15960 16200 16275 16416 16492 16740 16800 17010 17100 17360 17577 17670 17955 18144 18468 18600 18848 18900 19152 19440 19530 19950 20088 20520 20615 20668 20832 20925 21204 21280 21546 21600 21700 22320 22680 22800 23085 23436 23560 23940 24300 24624 24738 24800 25110 25200 25650 25835 26040 26505 26600 26784 27216 27360 27900 28272 28350 28728 29295 29450 29925 30132 30240 30780 31002 31248 31806 31920 32319 32400 32550 32984 33480 34020 34200 34720 35154 35340 35910 36169 36936 37107 37200 37665 37800 38304 38475 38880 39060 39900 40176 41040 41230 41336 41850 42408 42525 43092 43400 44175 44640 45360 45600 46170 46503 46872 47120 47709 47880 48600 48825 49248 49476 50220 50400 51300 51670 52080 52731 53010 53200 53865 54432 55800 56544 56700 57456 58590 58900 59850 60264 61560 61845 62004 62496 62775 63612 63840 64638 64800 65100 65968 66960 68040 68400 70308 70680 71820 72338 73872 74214 74400 75330 75600 76950 77505 78120 79515 79800 80352 82080 82460 82672 83700 84816 85050 86184 86800 87885 88350 89775 90720 92340 93006 93744 94240 95418 95760 97200 97650 98173 98952 100440 102600 103075 103340 104160 105462 106020 106400 107730 108507 111321 111600 113400 114912 115425 117180 117800 119700 120528 123120 123690 124008 125550 127224 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2070704185200 2085639088680 2122882643835 2130491542200 2145228776928 2191362729120 2201507926940 2234613309300 2264408153424 2270655459450 2300930865576 2317376765200 2346343974765 2358758493150 2396802984975 2422032490080 2465283070260 2502766906416 2516009059360 2547459172602 2556589850640 2595034810800 2607048860850 2641809512328 2681535971160 2739203411400 2751884908675 2780852118240 2815612769718 2830510191780 2840655389600 2876163581970 2972035701369 2979484412400 3027540612600 3067907820768 3081603837825 3128458633020 3145011324200 3195737313300 3217843165392 3287044093680 3302261890410 3351919963950 3396612230136 3451396298364 3476065147800 3522412683104 3538137739725 3575381294880 3633048735120 3652271215200 3754150359624 3774013589040 3821188758903 3834884775960 3910573291275 3944452912416 3962714268492 4022303956740 4036720816800 4108805117100 4141408370400 4171278177360 4245765287670 4260983084400 4314245372955 4403015853880 4469226618600 4528816306848 4541310918900 4601861731152 4634753530400 4692687949530 4717516986300 4793605969950 4930566140520 4953392835615 5005533812832 5027879945925 5094918345204 5113179701280 5190069621600 5214097721700 5283619024656 5363071942320 5478406822800 5503769817350 5631225539436 5661020383560 5752327163940 5944071402738 5958968824800 6055081225200 6163207675650 6256917266040 6290022648400 6368647931505 6391474626600 6435686330784 6574088187360 6604523780820 6703839927900 6793224460272 6902792596728 6952130295600 7039031924295 7076275479450 7190408954925 7266097470240 7508300719248 7548027178080 7642377517806 7669769551920 7821146582550 7925428536984 8044607913480 8217610234200 8255654726025 8342556354720 8491530575340 8521966168800 8628490745910 8806031707760 8916107104107 8938453237200 9082621837800 9203723462304 9385375899060 9435033972600 9587211939900 9861132281040 9906785671230 10055759891850 10189836690408 10428195443400 10567238049312 10614413219175 10726143884640 10956813645600 11007539634700 11262451078872 11322040767120 11504654327880 11731719873825 11888142805476 12110162450400 12326415351300 12513834532080 12580045296800 12737295863010 12782949253200 13209047561640 13407679855800 13586448920544 13805585193456 13904260591200 14078063848590 14152550958900 14380817909850 14860178506845 15016601438496 15284755035612 15339539103840 15642293165100 15850857073968 16089215826960 16435220468400 16511309452050 16983061150680 17256981491820 17612063415520 17832214208214 17876906474400 18165243675600 18770751798120 18870067945200 19105943794515 19174423879800 19722264562080 19813571342460 20111519783700 20379673380816 20856390886800 21228826438350 21571226864775 22015079269400 22524902157744 22644081534240 23009308655760 23463439747650 23776285610952 24652830702600 24766964178075 25027669064160 25474591726020 25565898506400 26418095123280 26748321312321 26815359711600 27611170386912 28156127697180 28305101917800 28761635819700 29720357013690 30569510071224 31284586330200 31701714147936 31843239657525 32178431653920 32870440936800 33022618904100 33966122301360 34513962983640 35195159621475 35664428416428 36330487351200 37541503596240 37740135890400 38211887589030 38348847759600 39627142684920 40223039567400 40759346761632 41712781773600 42457652876700 43142453729550 44030158538800 44580535520535 45049804315488 46018617311520 46926879495300 47552571221904 49305661405200 49533928356150 50949183452040 52836190246560 53496642624642 53630719423200 56312255394360 56610203835600 57523271639400 59440714027380 61139020142448 62569172660400 63686479315050 66045237808200 67932244602720 69027925967280 70390319242950 71328856832856 74300892534225 75083007192480 76423775178060 76697695519200 79254285369840 80446079134800 84915305753400 86284907459100 88060317077600 89161071041070 93853758990600 95105142443808 95529718972575 98611322810400 99067856712300 101898366904080 106993285249284 112624510788720 113220407671200 115046543278800 118881428054760 122278040284896 125138345320800 127372958630100 132090475616400 133741606561605 138055851934560 140780638485900 142657713665712 148601785068450 152847550356120 158508570739680 160892158269600 169830611506800 172569814918200 178322142082140 187707517981200 191059437945150 198135713424600 203796733808160 213986570498568 222902677602675 225249021577440 230093086557600 237762856109520 254745917260200 264180951232800 267483213123210 281561276971800 285315427331424 297203570136900 305695100712240 339661223013600 345139629836400 356644284164280 375415035962400 382118875890300 396271426849200 427973140997136 445805355205350 475525712219040 509491834520400 534966426246420 563122553943600 594407140273800 611390201424480 668708032808025 690279259672800 713288568328560 764237751780600 792542853698400 855946281994272 891610710410700 1018983669040800 1069932852492840 1126245107887200 1188814280547600 1337416065616050 1426577136657120 1528475503561200 1783221420821400 2139865704985680 2377628561095200 2674832131232100 3056951007122400 3566442841642800 4279731409971360 5349664262464200 7132885683285600 10699328524928400 21398657049856800
- Sum of all divisors σ(n): 97192906735841280
- Sum of proper divisors (its aliquot sum) s(n): 75794249685984480
- 21398657049856800 is an abundant number, because the sum of its proper divisors (75794249685984480) is greater than itself. Its abundance is 54395592636127680
Bases of 21398657049856800
- Binary: 10011000000010111110111000110000010000010001011001000002
- Hexadecimal: 0x4C05F718208B20
- Base-36: 5UP6VC6J600
Squares and roots of 21398657049856800
- 21398657049856800 squared (213986570498568002) is 457902523537386127120900506240000
- 21398657049856800 cubed (213986570498568003) is 9798499063440506946317300126797432039506432000000
-
The
square root of 21398657049856800 is 146282798.2021700321 -
The
cube root of 21398657049856800 is 277627.3021407833
Scales and comparisons
How big is 21398657049856800?- 21,398,657,049,856,800 seconds is equal to 680,411,103 years, 41 weeks, 1 day, 18 hours.
-
To count from 1 to 21,398,657,049,856,800 would take you about two billion, forty-one million, two hundred thirty-three thousand, three hundred eleven 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 21398657049856800 cubic inches would be around 23135.6 feet tall.
Recreational maths with 21398657049856800
- 21398657049856800 backwards is 00865894075689312
- 21398657049856800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 21398657049856800's digits is 81
- More coming soon!
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"Number 21398657049856800 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 21398657049856800 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/21398657049856800/
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Numbermatics. 2024. "Number 21398657049856800 - Facts about the integer". https://numbermatics.com/n/21398657049856800/
The information we have on file for 21398657049856800 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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