138977441226208000
138,977,441,226,208,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 138977441226208000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 864 divisors.
138977441226208000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138977441226208000:
28 × 53 × 135 × 2273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 13 × 227 × 227 × 227)See below for interesting mathematical facts about the number 138977441226208000 from the Numbermatics database.
Names of 138977441226208000
- Cardinal: 138977441226208000 can be written as One hundred thirty-eight quadrillion, nine hundred seventy-seven trillion, four hundred forty-one billion, two hundred twenty-six million, two hundred eight thousand.
Scientific notation
- Scientific notation: 1.38977441226208 × 1017
Factors of 138977441226208000
Divisors of 138977441226208000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 169 200 208 227 250 256 260 320 325 338 400 416 454 500 520 640 650 676 800 832 845 908 1000 1040 1135 1280 1300 1352 1600 1625 1664 1690 1816 2000 2080 2197 2270 2600 2704 2951 3200 3250 3328 3380 3632 4000 4160 4225 4394 4540 5200 5408 5675 5902 6400 6500 6760 7264 8000 8320 8450 8788 9080 10400 10816 10985 11350 11804 13000 13520 14528 14755 16000 16640 16900 17576 18160 20800 21125 21632 21970 22700 23608 26000 27040 28375 28561 29056 29510 32000 33800 35152 36320 38363 41600 42250 43264 43940 45400 47216 51529 52000 54080 54925 56750 57122 58112 59020 67600 70304 72640 73775 76726 83200 84500 87880 90800 94432 103058 104000 108160 109850 113500 114244 118040 135200 140608 142805 145280 147550 153452 169000 175760 181600 188864 191815 206116 208000 216320 219700 227000 228488 236080 257645 270400 274625 281216 285610 290560 295100 306904 338000 351520 363200 368875 371293 377728 383630 412232 416000 439400 454000 456976 472160 498719 515290 540800 549250 562432 571220 590200 613808 669877 676000 703040 714025 726400 737750 742586 755456 767260 824464 878800 908000 913952 944320 959075 997438 1030580 1081600 1098500 1142440 1180400 1227616 1288225 1339754 1352000 1406080 1428050 1452800 1475500 1485172 1534520 1648928 1757600 1816000 1827904 1856465 1888640 1918150 1994876 2061160 2197000 2284880 2360800 2455232 2493595 2576450 2679508 2704000 2812160 2856100 2951000 2970344 3069040 3297856 3349385 3515200 3570125 3632000 3655808 3712930 3777280 3836300 3989752 4122320 4394000 4569760 4721600 4795375 4910464 4987190 5152900 5359016 5408000 5712200 5902000 5940688 6138080 6441125 6483347 6595712 6698770 7030400 7140250 7264000 7311616 7425860 7672600 7979504 8244640 8708401 8788000 9139520 9282325 9443200 9590750 9820928 9974380 10305800 10718032 11424400 11697083 11804000 11881376 12276160 12467975 12882250 12966694 13191424 13397540 14060800 14280500 14851720 15345200 15959008 16489280 16746925 17416802 17576000 18279040 18564650 18886400 19181500 19948760 20611600 21436064 22848800 23394166 23608000 23762752 24552320 24935950 25764500 25933388 26795080 28561000 29703440 30690400 31918016 32416735 32978560 33493850 34833604 35152000 36558080 37129300 38363000 39897520 41223200 42872128 43542005 45697600 46411625 46788332 47216000 47525504 49104640 49871900 51529000 51866776 53590160 57122000 58485415 59406880 61380800 62339875 63836032 64833470 65957120 66987700 69667208 70304000 74258600 76726000 79795040 82446400 83734625 84283511 85744256 87084010 91395200 92823250 93576664 94432000 95051008 99743800 103058000 103733552 107180320 113209213 114244000 116970830 118813760 122761600 124679750 127672064 129666940 133975400 139334416 148517200 152062079 153452000 159590080 162083675 164892800 167469250 168567022 171488512 174168020 182790400 185646500 187153328 199487600 206116000 207467104 214360640 217710025 226418426 228488000 233941660 237627520 245523200 249359500 259333880 267950800 278668832 292427075 297034400 304124158 306904000 319180160 324167350 329785600 334938500 337134044 348336040 371293000 374306656 398975200 412232000 414934208 421417555 428721280 435420050 452836852 456976000 467883320 475255040 498719000 518667760 535901600 557337664 566046065 584854150 594068800 608248316 613808000 638360320 648334700 669877000 674268088 696672080 742586000 748613312 760310395 797950400 810418375 824464000 829868416 842835110 857442560 870840100 905673704 913952000 935766640 997438000 1037335520 1071803200 1088550125 1114675328 1132092130 1169708300 1188137600 1216496632 1227616000 1296669400 1339754000 1348536176 1393344160 1462135375 1471719769 1485172000 1497226624 1520620790 1595900800 1620836750 1648928000 1659736832 1685670220 1741680200 1811347408 1871533280 1976807027 1994876000 2074671040 2107087775 2143606400 2177100250 2229350656 2264184260 2339416600 2376275200 2432993264 2593338800 2679508000 2697072352 2786688320 2830230325 2924270750 2943439538 2970344000 2994453248 3041241580 3191801600 3241673500 3371340440 3483360400 3622694816 3743066560 3801551975 3953614054 3989752000 4149342080 4214175550 4287212800 4354200500 4528368520 4678833200 4865986528 5186677600 5359016000 5394144704 5573376640 5660460650 5848541500 5886879076 5940688000 6082483160 6483347000 6742680880 6966720800 7245389632 7358598845 7486133120 7603103950 7907228108 7979504000 8298684160 8428351100 8708401000 9056737040 9357666400 9731973056 9884035135 10373355200 10535438875 10718032000 10788289408 11146753280 11320921300 11697083000 11773758152 11881376000 12164966320 12966694000 13485361760 13933441600 14151151625 14490779264 14717197690 14972266240 15206207900 15814456216 15959008000 16856702200 17416802000 18113474080 18715332800 19007759875 19132356997 19463946112 19768070270 20746710400 21070877750 21436064000 21576578816 22641842600 23394166000 23547516304 24329932640 25698491351 25933388000 26970723520 27866883200 28302303250 28981558528 29434395380 30412415800 31628912432 33713404400 34833604000 36226948160 36792994225 37430665600 38015519750 38264713994 38927892224 39536140540 41493420800 42141755500 45283685200 46788332000 47095032608 48659865280 49420175675 51396982702 51866776000 53941447040 55733766400 56604606500 58868790760 60824831600 63257824864 67426808800 69667208000 72453896320 73585988450 74861331200 76031039500 76529427988 79072281080 84283511000 90567370400 93576664000 94190065216 95661784985 97319730560 98840351350 102793965404 103733552000 107882894080 113209213000 117737581520 121649663200 126515649728 128492456755 134853617600 139334416000 144907792640 147171976900 152062079000 153058855976 158144562160 168567022000 181134740800 183964971125 187153328000 188380130432 191323569970 194639461120 197680702700 205587930808 207467104000 226418426000 235475163040 243299326400 247100878375 253031299456 256984913510 269707235200 278668832000 294343953800 304124158000 306117711952 316289124320 334080387563 337134044000 362269481600 367929942250 374306656000 376760260864 382647139940 395361405400 411175861616 452836852000 470950326080 478308924925 486598652800 494201756750 506062598912 513969827020 539414470400 588687907600 608248316000 612235423904 632578248640 642462283775 668160775126 674268088000 724538963200 735859884500 765294279880 790722810800 822351723232 905673704000 941900652160 956617849850 973197305600 988403513500 1027939654040 1177375815200 1216496632000 1224470847808 1265156497280 1284924567550 1336321550252 1348536176000 1471719769000 1530588559760 1581445621600 1644703446464 1670401937815 1811347408000 1883801304320 1913235699700 1976807027000 2055879308080 2354751630400 2391544624625 2432993264000 2448941695616 2530312994560 2569849135100 2672643100504 2697072352000 2943439538000 3061177119520 3162891243200 3212311418875 3289406892928 3340803875630 3622694816000 3826471399400 3953614054000 4111758616160 4343045038319 4709503260800 4783089249250 4865986528000 4897883391232 5139698270200 5345286201008 5886879076000 6122354239040 6325782486400 6424622837750 6578813785856 6681607751260 7652942798800 7907228108000 8223517232320 8352009689075 8686090076638 9419006521600 9566178498500 10279396540400 10690572402016 11773758152000 12244708478080 12651564972800 12849245675500 13363215502520 15305885597600 15814456216000 16447034464640 16704019378150 17372180153276 19132356997000 20558793080800 21381144804032 21715225191595 23547516304000 24489416956160 25698491351000 26726431005040 30611771195200 31628912432000 32894068929280 33408038756300 34744360306552 38264713994000 41117586161600 41760048445375 42762289608064 43430450383190 47095032608000 51396982702000 53452862010080 61223542390400 63257824864000 66816077512600 69488720613104 76529427988000 82235172323200 83520096890750 85524579216128 86860900766380 102793965404000 106905724020160 108576125957975 122447084780800 133632155025200 138977441226208 153058855976000 164470344646400 167040193781500 173721801532760 205587930808000 213811448040320 217152251915950 267264310050400 277954882452416 306117711952000 334080387563000 347443603065520 411175861616000 427622896080640 434304503831900 534528620100800 542880629789875 555909764904832 612235423904000 668160775126000 694887206131040 822351723232000 868609007663800 1069057240201600 1085761259579750 1111819529809664 1336321550252000 1389774412262080 1737218015327600 2138114480403200 2171522519159500 2672643100504000 2779548824524160 3474436030655200 4343045038319000 5345286201008000 5559097649048320 6948872061310400 8686090076638000 10690572402016000 13897744122620800 17372180153276000 27795488245241600 34744360306552000 69488720613104000 138977441226208000
- Sum of all divisors σ(n): 376720510338768960
- Sum of proper divisors (its aliquot sum) s(n): 237743069112560960
- 138977441226208000 is an abundant number, because the sum of its proper divisors (237743069112560960) is greater than itself. Its abundance is 98765627886352960
Bases of 138977441226208000
- Binary: 1111011011011111100111111000110000001010010110011000000002
- Hexadecimal: 0x1EDBF3F1814B300
- Base-36: 120FE33QVXTS
Squares and roots of 138977441226208000
- 138977441226208000 squared (1389774412262080002) is 19314729169784098998626059264000000
- 138977441226208000 cubed (1389774412262080003) is 2684311637993794857358233698706267037990912000000000
-
The
square root of 138977441226208000 is 372796782.7465897001 -
The
cube root of 138977441226208000 is 517982.1220235251
Scales and comparisons
How big is 138977441226208000?- 138,977,441,226,208,000 seconds is equal to 4,419,052,745 years, 28 weeks, 1 day, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,977,441,226,208,000 would take you about thirteen billion, two hundred fifty-seven million, one hundred fifty-eight thousand, two hundred thirty-six 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 138977441226208000 cubic inches would be around 43165.2 feet tall.
Recreational maths with 138977441226208000
- 138977441226208000 backwards is 000802622144779831
- 138977441226208000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138977441226208000's digits is 64
- More coming soon!
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The information we have on file for 138977441226208000 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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