13868346175660800
13,868,346,175,660,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 13868346175660800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 540 divisors.
13868346175660800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 13868346175660800:
28 × 34 × 52 × 4457 × 6002291
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 4457 × 6002291)See below for interesting mathematical facts about the number 13868346175660800 from the Numbermatics database.
Names of 13868346175660800
- Cardinal: 13868346175660800 can be written as Thirteen quadrillion, eight hundred sixty-eight trillion, three hundred forty-six billion, one hundred seventy-five million, six hundred sixty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38683461756608 × 1016
Factors of 13868346175660800
Divisors of 13868346175660800
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 256 270 288 300 320 324 360 384 400 405 432 450 480 540 576 600 640 648 675 720 768 800 810 864 900 960 1080 1152 1200 1280 1296 1350 1440 1600 1620 1728 1800 1920 2025 2160 2304 2400 2592 2700 2880 3200 3240 3456 3600 3840 4050 4320 4457 4800 5184 5400 5760 6400 6480 6912 7200 8100 8640 8914 9600 10368 10800 11520 12960 13371 14400 16200 17280 17828 19200 20736 21600 22285 25920 26742 28800 32400 34560 35656 40113 43200 44570 51840 53484 57600 64800 66855 71312 80226 86400 89140 103680 106968 111425 120339 129600 133710 142624 160452 172800 178280 200565 213936 222850 240678 259200 267420 285248 320904 334275 356560 361017 401130 427872 445700 481356 518400 534840 570496 601695 641808 668550 713120 722034 802260 855744 891400 962712 1002825 1069680 1140992 1203390 1283616 1337100 1426240 1444068 1604520 1711488 1782800 1805085 1925424 2005650 2139360 2406780 2567232 2674200 2852480 2888136 3008475 3209040 3422976 3565600 3610170 3850848 4011300 4278720 4813560 5134464 5348400 5704960 5776272 6002291 6016950 6418080 7131200 7220340 7701696 8022600 8557440 9025425 9627120 10268928 10696800 11552544 12004582 12033900 12836160 14262400 14440680 15403392 16045200 17114880 18006873 18050850 19254240 21393600 23105088 24009164 24067800 25672320 28524800 28881360 30011455 30806784 32090400 36013746 36101700 38508480 42787200 46210176 48018328 48135600 51344640 54020619 57762720 60022910 64180800 72027492 72203400 77016960 85574400 90034365 92420352 96036656 96271200 108041238 115525440 120045820 128361600 144054984 144406800 150057275 154033920 162061857 180068730 192073312 192542400 216082476 231050880 240091640 256723200 270103095 288109968 288813600 300114550 324123714 360137460 384146624 385084800 432164952 450171825 462101760 480183280 486185571 540206190 576219936 577627200 600229100 648247428 720274920 768293248 770169600 810309285 864329904 900343650 960366560 972371142 1080412380 1152439872 1155254400 1200458200 1296494856 1350515475 1440549840 1536586496 1620618570 1728659808 1800687300 1920733120 1944742284 2160824760 2304879744 2310508800 2400916400 2430927855 2592989712 2701030950 2881099680 3241237140 3457319616 3601374600 3841466240 3889484568 4051546425 4321649520 4609759488 4801832800 4861855710 5185979424 5402061900 5762199360 6482474280 6914639232 7202749200 7682932480 7778969136 8103092850 8643299040 9603665600 9723711420 10371958848 10804123800 11524398720 12154639275 12964948560 13829278464 14405498400 15557938272 16206185700 17286598080 19207331200 19447422840 20743917696 21608247600 23048797440 24309278550 25929897120 26752210987 28810996800 31115876544 32412371400 34573196160 38414662400 38894845680 41487835392 43216495200 48618557100 51859794240 53504421974 57621993600 62231753088 64824742800 69146392320 77789691360 80256632961 86432990400 97237114200 103719588480 107008843948 115243987200 124463506176 129649485600 133761054935 155579382720 160513265922 172865980800 194474228400 207439176960 214017687896 240769898883 259298971200 267522109870 311158765440 321026531844 345731961600 388948456800 401283164805 428035375792 481539797766 518597942400 535044219740 622317530880 642053063688 668805274675 722309696649 777896913600 802566329610 856070751584 963079595532 1037195884800 1070088439480 1203849494415 1284106127376 1337610549350 1444619393298 1555793827200 1605132659220 1712141503168 1926159191064 2006415824025 2140176878960 2166929089947 2407698988830 2568212254752 2675221098700 2889238786596 3111587654400 3210265318440 3424283006336 3611548483245 3852318382128 4012831648050 4280353757920 4333858179894 4815397977660 5136424509504 5350442197400 5778477573192 6019247472075 6420530636880 6848566012672 7223096966490 7704636764256 8025663296100 8560707515840 8667716359788 9630795955320 10272849019008 10700884394800 10834645449735 11556955146384 12038494944150 12841061273760 14446193932980 15409273528512 16051326592200 17121415031680 17335432719576 18057742416225 19261591910640 20545698038016 21401768789600 21669290899470 23113910292768 24076989888300 25682122547520 28892387865960 30818547057024 32102653184400 34242830063360 34670865439152 36115484832450 38523183821280 42803537579200 43338581798940 46227820585536 48153979776600 51364245095040 54173227248675 57784775731920 61637094114048 64205306368800 69341730878304 72230969664900 77046367642560 85607075158400 86677163597880 92455641171072 96307959553200 102728490190080 108346454497350 115569551463840 128410612737600 138683461756608 144461939329800 154092735285120 171214150316800 173354327195760 184911282342144 192615919106400 216692908994700 231139102927680 256821225475200 277366923513216 288923878659600 308185470570240 346708654391520 385231838212800 433385817989400 462278205855360 513642450950400 554733847026432 577847757319200 693417308783040 770463676425600 866771635978800 924556411710720 1155695514638400 1386834617566080 1540927352851200 1733543271957600 2311391029276800 2773669235132160 3467086543915200 4622782058553600 6934173087830400 13868346175660800
- Sum of all divisors σ(n): 51289108185873096
- Sum of proper divisors (its aliquot sum) s(n): 37420762010212296
- 13868346175660800 is an abundant number, because the sum of its proper divisors (37420762010212296) is greater than itself. Its abundance is 23552415834551496
Bases of 13868346175660800
- Binary: 1100010100010100101111111101110110110000100011000000002
- Hexadecimal: 0x31452FF76C2300
- Base-36: 3SJX2A2WG00
Squares and roots of 13868346175660800
- 13868346175660800 squared (138683461756608002) is 192331025647965536930316656640000
- 13868346175660800 cubed (138683461756608003) is 2667313244005882092367553873455685598707712000000
-
The
square root of 13868346175660800 is 117763942.5956043643 -
The
cube root of 13868346175660800 is 240256.3590303653
Scales and comparisons
How big is 13868346175660800?- 13,868,346,175,660,800 seconds is equal to 440,970,510 years, 40 weeks, 2 days.
-
To count from 1 to 13,868,346,175,660,800 would take you about one billion, three hundred twenty-two million, nine hundred eleven thousand, five hundred thirty-two 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 13868346175660800 cubic inches would be around 20021.4 feet tall.
Recreational maths with 13868346175660800
- 13868346175660800 backwards is 00806657164386831
- 13868346175660800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13868346175660800's digits is 72
- More coming soon!
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