138868318580025600
138,868,318,580,025,600 is an even composite number composed of six prime numbers multiplied together.
138868318580025600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138868318580025600:
28 × 32 × 52 × 421 × 131071 × 43691
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 421 × 131071 × 43691)See below for interesting mathematical facts about the number 138868318580025600 from the Numbermatics database.
Names of 138868318580025600
- Cardinal: 138868318580025600 can be written as One hundred thirty-eight quadrillion, eight hundred sixty-eight trillion, three hundred eighteen billion, five hundred eighty million, twenty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.388683185800256 × 1017
Factors of 138868318580025600
Divisors of 138868318580025600
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 256 288 300 320 360 384 400 421 450 480 576 600 640 720 768 800 842 900 960 1152 1200 1263 1280 1440 1600 1684 1800 1920 2105 2304 2400 2526 2880 3200 3368 3600 3789 3840 4210 4800 5052 5760 6315 6400 6736 7200 7578 8420 9600 10104 10525 11520 12630 13472 14400 15156 16840 18945 19200 20208 21050 25260 26944 28800 30312 31575 33680 37890 40416 42100 43691 50520 53888 57600 60624 63150 67360 75780 80832 84200 87382 94725 101040 107776 121248 126300 131071 131073 134720 151560 161664 168400 174764 189450 202080 218455 242496 252600 262142 262146 269440 303120 323328 336800 349528 378900 393213 393219 404160 436910 484992 505200 524284 524292 538880 606240 655355 655365 673600 699056 757800 786426 786438 808320 873820 969984 1010400 1048568 1048584 1092275 1179639 1212480 1310710 1310730 1347200 1398112 1515600 1572852 1572876 1616640 1747640 1966065 1966095 2020800 2097136 2097168 2184550 2359278 2424960 2621420 2621460 2694400 2796224 3031200 3145704 3145752 3276775 3276825 3495280 3932130 3932190 4041600 4194272 4194336 4369100 4718556 4849920 5242840 5242920 5592448 5898195 6062400 6291408 6291504 6553550 6553650 6990560 7864260 7864380 8083200 8388544 8388672 8738200 9437112 9830325 9830475 10485680 10485840 11184896 11796390 12124800 12582816 12583008 13107100 13107300 13981120 15728520 15728760 16777088 16777344 17476400 18393911 18874224 19660650 19660950 20971360 20971680 23592780 24249600 25165632 25166016 26214200 26214600 27962240 29490975 31457040 31457520 33554176 33554688 34952800 36787822 37748448 39321300 39321900 41942720 41943360 47185560 50331264 50332032 52428400 52429200 55180891 55181733 55924480 58981950 62914080 62915040 69905600 73575644 75496896 78642600 78643800 83885440 83886720 91969555 94371120 100662528 100664064 104856800 104858400 110361782 110363466 117963900 125828160 125830080 139811200 147151288 150993792 157285200 157287600 165542673 165545199 167770880 167773440 183939110 188742240 209713600 209716800 220723564 220726932 235927800 251656320 251660160 275904455 275908665 279622400 294302576 301987584 314570400 314575200 331085346 331090398 367878220 377484480 419427200 419433600 441447128 441453864 459847775 471855600 496628019 503312640 503320320 551808910 551817330 588605152 629140800 629150400 662170692 662180796 735756440 754968960 827713365 827725995 838854400 838867200 882894256 882907728 919695550 943711200 993256038 1103617820 1103634660 1177210304 1258281600 1258300800 1324341384 1324361592 1379522275 1379543325 1471512880 1509937920 1655426730 1655451990 1765788512 1765815456 1839391100 1887422400 1986512076 2207235640 2207269320 2354420608 2483140095 2516563200 2516601600 2648682768 2648723184 2759044550 2759086650 2943025760 3310853460 3310903980 3531577024 3531630912 3678782200 3774844800 3973024152 4138566825 4138629975 4414471280 4414538640 4708841216 4966280190 5297365536 5297446368 5518089100 5518173300 5726623061 5886051520 6621706920 6621807960 7063154048 7063261824 7357564400 7549689600 7946048304 8277133650 8277259950 8828942560 8829077280 9932560380 10594731072 10594892736 11036178200 11036346600 11453246122 11772103040 12415700475 13243413840 13243615920 14126308096 14126523648 14715128800 15892096608 16554267300 16554519900 17179869183 17657885120 17658154560 19865120760 21189462144 21189785472 22072356400 22072693200 22906492244 23544206080 24831400950 26486827680 26487231840 28633115305 29430257600 31784193216 33108534600 33109039800 34359738366 35315770240 35316309120 39730241520 42378924288 42379570944 44144712800 44145386400 45812984488 49662801900 51539607549 52973655360 52974463680 57266230610 58860515200 63568386432 66217069200 66218079600 68719476732 70631540480 70632618240 79460483040 85899345915 88289425600 88290772800 91625968976 99325603800 103079215098 105947310720 105948927360 114532461220 117721030400 127136772864 132434138400 132436159200 137438953464 143165576525 158920966080 171798691830 176578851200 176581545600 183251937952 198651207600 206158430196 211894621440 211897854720 229064922440 257698037745 264868276800 264872318400 274877906928 286331153050 317841932160 343597383660 353157702400 353163091200 366503875904 397302415200 412316860392 429496729575 458129844880 515396075490 529736553600 529744636800 549755813856 572662306100 635683864320 687194767320 733007751808 794604830400 824633720784 858993459150 916259689760 1030792150980 1059473107200 1059489273600 1099511627712 1145324612200 1288490188725 1374389534640 1466015503616 1589209660800 1649267441568 1717986918300 1832519379520 2061584301960 2199023255424 2290649224400 2410908308681 2576980377450 2748779069280 3178419321600 3298534883136 3435973836600 3665038759040 4123168603920 4398046510848 4581298448800 4821816617362 5153960754900 5497558138560 6597069766272 6871947673200 7232724926043 7330077518080 8246337207840 9162596897600 9643633234724 10307921509800 10995116277120 12054541543405 13194139532544 13743895346400 14465449852086 16492674415680 18325193795200 19287266469448 20615843019600 21698174778129 21990232554240 24109083086810 27487790692800 28930899704172 32985348831360 36163624630215 36650387590400 38574532938896 41231686039200 43396349556258 48218166173620 54975581385600 57861799408344 60272707717025 65970697662720 72327249260430 77149065877792 82463372078400 86792699112516 96436332347240 108490873890645 109951162771200 115723598816688 120545415434050 144654498520860 154298131755584 164926744156800 173585398225032 180818123151075 192872664694480 216981747781290 231447197633376 241090830868100 289308997041720 308596263511168 329853488313600 347170796450064 361636246302150 385745329388960 433963495562580 462894395266752 482181661736200 542454369453225 578617994083440 617192527022336 694341592900128 723272492604300 771490658777920 867926991125160 925788790533504 964363323472400 1084908738906450 1157235988166880 1388683185800256 1446544985208600 1542981317555840 1735853982250320 1851577581067008 1928726646944800 2169817477812900 2314471976333760 2777366371600512 2893089970417200 3085962635111680 3471707964500640 3857453293889600 4339634955625800 4628943952667520 5554732743201024 5786179940834400 6943415929001280 7714906587779200 8679269911251600 9257887905335040 11572359881668800 13886831858002560 15429813175558400 17358539822503200 23144719763337600 27773663716005120 34717079645006400 46289439526675200 69434159290012800 138868318580025600
- Sum of all divisors σ(n): 497680068954292224
- Sum of proper divisors (its aliquot sum) s(n): 358811750374266624
- 138868318580025600 is an abundant number, because the sum of its proper divisors (358811750374266624) is greater than itself. Its abundance is 219943431794241024
Bases of 138868318580025600
- Binary: 1111011010101101111111111111111111000010010101001000000002
- Hexadecimal: 0x1ED5BFFFF84A900
- Base-36: 11ZCPKUOTA80
Squares and roots of 138868318580025600
- 138868318580025600 squared (1388683185800256002) is 19284409905243483274311296655360000
- 138868318580025600 cubed (1388683185800256003) is 2677993578349153328699536907201243313783177216000000
-
The
square root of 138868318580025600 is 372650397.2626697737 -
The
cube root of 138868318580025600 is 517846.5163704007
Scales and comparisons
How big is 138868318580025600?- 138,868,318,580,025,600 seconds is equal to 4,415,582,982 years, 48 weeks, 3 days, 8 hours.
-
To count from 1 to 138,868,318,580,025,600 would take you about thirteen billion, two hundred forty-six million, seven hundred forty-eight thousand, nine hundred forty-eight 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 138868318580025600 cubic inches would be around 43153.9 feet tall.
Recreational maths with 138868318580025600
- 138868318580025600 backwards is 006520085813868831
- 138868318580025600 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138868318580025600's digits is 72
- More coming soon!
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The information we have on file for 138868318580025600 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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