2138083406035200
2,138,083,406,035,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 2138083406035200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3240 divisors.
2138083406035200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 2138083406035200:
28 × 33 × 52 × 134 × 19 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 13 × 19 × 151 × 151)See below for interesting mathematical facts about the number 2138083406035200 from the Numbermatics database.
Names of 2138083406035200
- Cardinal: 2138083406035200 can be written as Two quadrillion, one hundred thirty-eight trillion, eighty-three billion, four hundred six million, thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 2.1380834060352 × 1015
Factors of 2138083406035200
Divisors of 2138083406035200
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 32 36 38 39 40 45 48 50 52 54 57 60 64 65 72 75 76 78 80 90 95 96 100 104 108 114 117 120 128 130 135 144 150 151 152 156 160 169 171 180 190 192 195 200 208 216 225 228 234 240 247 256 260 270 285 288 300 302 304 312 320 325 338 342 351 360 380 384 390 400 416 432 450 453 456 468 475 480 494 507 513 520 540 570 576 585 600 604 608 624 640 650 675 676 684 702 720 741 755 760 768 780 800 832 845 855 864 900 906 912 936 950 960 975 988 1014 1026 1040 1080 1140 1152 1170 1200 1208 1216 1235 1248 1280 1300 1350 1352 1359 1368 1404 1425 1440 1482 1510 1520 1521 1560 1600 1664 1690 1710 1728 1755 1800 1812 1824 1872 1900 1920 1950 1963 1976 2028 2052 2080 2160 2197 2223 2265 2280 2304 2340 2400 2416 2432 2470 2496 2535 2565 2600 2700 2704 2718 2736 2808 2850 2869 2880 2925 2964 3020 3040 3042 3120 3200 3211 3328 3380 3420 3456 3510 3600 3624 3648 3705 3744 3775 3800 3840 3900 3926 3952 4056 4077 4104 4160 4225 4275 4320 4394 4446 4530 4560 4563 4680 4800 4832 4864 4940 4992 5070 5130 5200 5400 5408 5436 5472 5616 5700 5738 5760 5850 5889 5928 6040 6080 6084 6175 6240 6400 6422 6591 6669 6760 6795 6840 6912 7020 7200 7248 7296 7410 7488 7550 7600 7605 7800 7852 7904 8112 8154 8208 8320 8450 8550 8607 8640 8775 8788 8892 9060 9120 9126 9360 9600 9633 9664 9815 9880 9984 10140 10260 10400 10800 10816 10872 10944 10985 11115 11232 11325 11400 11476 11520 11700 11778 11856 12080 12160 12168 12350 12480 12675 12825 12844 13182 13338 13520 13590 13680 14040 14345 14400 14496 14592 14820 14976 15100 15200 15210 15600 15704 15808 16055 16224 16308 16416 16640 16900 17100 17214 17280 17550 17576 17667 17784 18120 18240 18252 18525 18720 19200 19266 19328 19630 19760 19773 20280 20385 20520 20800 21600 21632 21744 21888 21970 22230 22464 22650 22800 22801 22815 22952 23400 23556 23712 24160 24320 24336 24700 24960 25350 25519 25650 25688 25821 26364 26676 27040 27180 27360 28080 28561 28690 28800 28899 28992 29445 29640 29952 30200 30400 30420 31200 31408 31616 32110 32448 32616 32832 32955 33345 33800 33975 34200 34428 34560 35100 35152 35334 35568 36240 36480 36504 37050 37297 37440 38025 38532 38656 39260 39520 39546 40560 40770 41040 41600 41743 43035 43200 43264 43488 43776 43940 44460 44928 45300 45600 45602 45630 45904 46800 47112 47424 48165 48320 48672 49075 49400 49920 50700 51038 51300 51376 51642 52728 53001 53352 54080 54360 54720 54925 55575 56160 57122 57380 57600 57798 57984 58890 59280 59319 60400 60800 60840 62400 62816 63232 64220 64896 65232 65664 65910 66690 67600 67950 68400 68403 68856 70200 70304 70668 71136 71725 72480 72960 73008 74100 74594 74880 76050 76557 77064 77463 78520 79040 79092 80275 81120 81540 82080 83200 83486 85683 86070 86400 86697 86976 87880 88335 88920 89856 90600 91200 91204 91260 91808 93600 94224 94848 96330 96640 97344 98150 98800 98865 101400 101925 102076 102600 102752 103284 105456 106002 106704 108160 108720 109440 109850 111150 111891 112320 114005 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141594927552 142767321450 144270135360 146524356225 147494716200 148478014308 149047292160 152285142880 156292646640 157327697280 158142263760 160300150400 162197193600 166465540800 166712156416 168685081344 171320785740 173124162432 175713626400 175829227470 176993659440 180337669200 181531958400 182742171456 185597517885 186309115200 187551175968 188793236736 190356428600 192360180480 194636632320 195365808300 196659621600 197677829700 197970685744 205584942888 208390195520 210856351680 214150982175 216405203040 217838350080 221242074300 221954054400 222717021462 228427714320 234284835200 234438969960 235991545920 240450225600 243295790400 243656228608 247463357180 248412153600 250068234624 253027622016 256981178610 260487744400 262212828800 263570439600 270506503800 272297937600 274113257184 281141802240 281326763952 283189855104 285534642900 288540270720 293048712450 294989432400 296956028616 304570285760 309329196475 312585293280 314655394560 316284527520 320600300800 324394387200 332931081600 334075532193 342641571480 346248324864 351427252800 351658454940 353987318880 360675338400 363063916800 365484342912 371195035770 372618230400 375102351936 380712857200 390731616600 393319243200 395355659400 395941371488 411169885776 416780391040 421712703360 428301964350 432810406080 439573068675 442484148600 445434042924 456855428640 468569670400 468877939920 471983091840 480900451200 486591580800 494926714360 500136469248 506055244032 513962357220 520975488800 524425657600 527140879200 541013007600 544595875200 548226514368 556792553655 562653527904 566379710208 571069285800 577080541440 586097424900 589978864800 593912057232 609140571520 618658392950 625170586560 632569055040 642452946525 665862163200 668151064386 685283142960 702854505600 703316909880 707974637760 721350676800 730968685824 742390071540 745236460800 750204703872 761425714400 781463233200 786638486400 790711318800 791882742976 822339771552 833560782080 843425406720 856603928700 865620812160 879146137350 884968297200 890868085848 913710857280 927987589425 937755879840 943966183680 961800902400 973183161600 989853428720 1027924714440 1041950977600 1054281758400 1082026015200 1089191750400 1096453028736 1113585107310 1125307055808 1142138571600 1172194849800 1179957729600 1187824114464 1218281143040 1237316785900 1250341173120 1265138110080 1284905893050 1336302128772 1370566285920 1405709011200 1406633819760 1415949275520 1442701353600 1484780143080 1500409407744 1522851428800 1562926466400 1573276972800 1581422637600 1583765485952 1644679543104 1670377660965 1713207857400 1731241624320 1758292274700 1769936594400 1781736171696 1827421714560 1855975178850 1875511759680 1979706857440 2055849428880 2083901955200 2108563516800 2164052030400 2192906057472 2227170214620 2250614111616 2284277143200 2344389699600 2359915459200 2375648228928 2474633571800 2500682346240 2530276220160 2569811786100 2672604257544 2741132571840 2783962768275 2813267639520 2831898551040 2885402707200 2969560286160 3045702857600 3125852932800 3162845275200 3167530971904 3289359086208 3340755321930 3426415714800 3516584549400 3539873188800 3563472343392 3654843429120 3711950357700 3751023519360 3959413714880 4111698857760 4167803910400 4217127033600 4328104060800 4454340429240 4501228223232 4568554286400 4688779399200 4719830918400 4751296457856 4949267143600 5139623572200 5345208515088 5482265143680 5567925536550 5626535279040 5939120572320 6091405715200 6251705865600 6325690550400 6578718172416 6681510643860 6852831429600 7033169098800 7079746377600 7126944686784 7423900715400 7502047038720 7918827429760 8223397715520 8351888304825 8656208121600 8908680858480 9137108572800 9377558798400 9502592915712 9898534287200 10279247144400 10690417030176 10964530287360 11135851073100 11253070558080 11878241144640 12503411731200 12651381100800 13363021287720 13705662859200 14066338197600 14159492755200 14253889373568 14847801430800 15837654859520 16446795431040 16703776609650 17817361716960 18274217145600 18755117596800 19797068574400 20558494288800 21380834060352 22271702146200 22506141116160 23756482289280 26726042575440 27411325718400 28132676395200 28507778747136 29695602861600 32893590862080 33407553219300 35634723433920 37510235193600 39594137148800 41116988577600 42761668120704 44543404292400 47512964578560 53452085150880 54822651436800 56265352790400 59391205723200 66815106438600 71269446867840 79188274297600 82233977155200 85523336241408 89086808584800 106904170301760 112530705580800 118782411446400 133630212877200 142538893735680 164467954310400 178173617169600 213808340603520 237564822892800 267260425754400 356347234339200 427616681207040 534520851508800 712694468678400 1069041703017600 2138083406035200
- Sum of all divisors σ(n): 9000080282474400
- Sum of proper divisors (its aliquot sum) s(n): 6861996876439200
- 2138083406035200 is an abundant number, because the sum of its proper divisors (6861996876439200) is greater than itself. Its abundance is 4723913470404000
Bases of 2138083406035200
- Binary: 1111001100010010011010101011110101010111001000000002
- Hexadecimal: 0x7989355EAB900
- Base-36: L1VXYG9XC0
Squares and roots of 2138083406035200
- 2138083406035200 squared (21380834060352002) is 4571400651163081907783639040000
- 2138083406035200 cubed (21380834060352003) is 9774035874590293329771961352871754334208000000
-
The
square root of 2138083406035200 is 46239413.9888818227 -
The
cube root of 2138083406035200 is 128827.3918045553
Scales and comparisons
How big is 2138083406035200?- 2,138,083,406,035,200 seconds is equal to 67,984,438 years, 40 weeks, 6 days.
-
To count from 1 to 2,138,083,406,035,200 would take you about two hundred three million, nine hundred fifty-three thousand, three hundred sixteen 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 2138083406035200 cubic inches would be around 10735.6 feet tall.
Recreational maths with 2138083406035200
- 2138083406035200 backwards is 0025306043808312
- 2138083406035200 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2138083406035200's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 2138083406035200 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 2138083406035200 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/2138083406035200/
Chicago style:
Numbermatics. 2024. "Number 2138083406035200 - Facts about the integer". https://numbermatics.com/n/2138083406035200/
The information we have on file for 2138083406035200 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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