138826457911296000
138,826,457,911,296,000 is an even composite number composed of five prime numbers multiplied together.
138826457911296000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138826457911296000:
215 × 32 × 53 × 1092 × 5632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 109 × 109 × 563 × 563)See below for interesting mathematical facts about the number 138826457911296000 from the Numbermatics database.
Names of 138826457911296000
- Cardinal: 138826457911296000 can be written as One hundred thirty-eight quadrillion, eight hundred twenty-six trillion, four hundred fifty-seven billion, nine hundred eleven million, two hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.38826457911296 × 1017
Factors of 138826457911296000
Divisors of 138826457911296000
- Number of divisors d(n): 1728
-
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 96 100 109 120 125 128 144 150 160 180 192 200 218 225 240 250 256 288 300 320 327 360 375 384 400 436 450 480 500 512 545 563 576 600 640 654 720 750 768 800 872 900 960 981 1000 1024 1090 1125 1126 1152 1200 1280 1308 1440 1500 1536 1600 1635 1689 1744 1800 1920 1962 2000 2048 2180 2250 2252 2304 2400 2560 2616 2725 2815 2880 3000 3072 3200 3270 3378 3488 3600 3840 3924 4000 4096 4360 4500 4504 4608 4800 4905 5067 5120 5232 5450 5630 5760 6000 6144 6400 6540 6756 6976 7200 7680 7848 8000 8175 8192 8445 8720 9000 9008 9216 9600 9810 10134 10240 10464 10900 11260 11520 11881 12000 12288 12800 13080 13512 13625 13952 14075 14400 15360 15696 16000 16350 16384 16890 17440 18000 18016 18432 19200 19620 20268 20480 20928 21800 22520 23040 23762 24000 24525 24576 25335 25600 26160 27024 27250 27904 28150 28800 30720 31392 32000 32700 32768 33780 34880 35643 36000 36032 36864 38400 39240 40536 40875 40960 41856 42225 43600 45040 46080 47524 48000 49050 49152 50670 51200 52320 54048 54500 55808 56300 57600 59405 61367 61440 62784 64000 65400 67560 69760 70375 71286 72000 72064 73728 76800 78480 81072 81750 81920 83712 84450 87200 90080 92160 95048 96000 98100 98304 101340 102400 104640 106929 108096 109000 111616 112600 115200 118810 122625 122734 122880 125568 126675 128000 130800 135120 139520 140750 142572 144000 144128 147456 153600 156960 162144 163500 163840 167424 168900 174400 178215 180160 184101 184320 190096 192000 196200 202680 204800 209280 211125 213858 216192 218000 223232 225200 230400 237620 245250 245468 245760 251136 253350 256000 261600 270240 279040 281500 285144 288000 288256 294912 297025 306835 307200 313920 316969 324288 327000 334848 337800 348800 356430 360320 368202 368640 380192 384000 392400 405360 409600 418560 422250 427716 432384 436000 446464 450400 460800 475240 490500 490936 491520 502272 506700 512000 523200 534645 540480 552303 558080 563000 570288 576000 576512 594050 613670 614400 627840 633375 633938 648576 654000 669696 675600 697600 712860 720640 736404 737280 760384 768000 784800 810720 819200 837120 844500 855432 864768 872000 891075 892928 900800 920505 921600 950480 950907 981000 981872 1004544 1013400 1024000 1046400 1069290 1080960 1104606 1116160 1126000 1140576 1152000 1153024 1188100 1227340 1228800 1255680 1266750 1267876 1297152 1308000 1339392 1351200 1395200 1425720 1441280 1472808 1474560 1485125 1520768 1534175 1536000 1569600 1584845 1621440 1674240 1689000 1710864 1729536 1744000 1782150 1785856 1801600 1841010 1843200 1900960 1901814 1962000 1963744 2009088 2026800 2048000 2092800 2138580 2161920 2209212 2232320 2252000 2281152 2304000 2306048 2376200 2454680 2457600 2511360 2533500 2535752 2594304 2616000 2673225 2678784 2702400 2761515 2790400 2851440 2852721 2882560 2945616 2970250 3041536 3068350 3072000 3139200 3169690 3242880 3348480 3378000 3421728 3459072 3488000 3564300 3571712 3603200 3682020 3686400 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636818614272 642144288000 649152512000 657555750912 663352723200 677863564020 684953907200 707576238080 723054468288 730296576000 753181737800 754077696000 770573145600 778983014400 796023267840 821944688640 829190904000 847329455025 849091485696 856192384000 884470297600 903818085360 941477172250 963216432000 964072624384 973728768000 986333626368 995029084800 1027430860800 1061364357120 1084581702432 1095926251520 1105587872000 1129772606700 1131116544000 1132121980928 1168474521600 1205090780480 1232917032960 1243786356000 1273637228544 1284288576000 1298305024000 1326705446400 1355727128040 1369907814400 1412215758375 1415152476160 1446108936576 1460593152000 1506363475600 1541146291200 1592046535680 1643889377280 1658381808000 1694658910050 1698182971392 1712384768000 1768940595200 1807636170720 1882954344500 1926432864000 1928145248768 1947457536000 1972667252736 1990058169600 2054861721600 2122728714240 2169163404864 2211175744000 2259545213400 2262233088000 2336949043200 2410181560960 2465834065920 2487572712000 2547274457088 2568577152000 2653410892800 2711454256080 2739815628800 2824431516750 2830304952320 2892217873152 2921186304000 3012726951200 3082292582400 3184093071360 3287778754560 3316763616000 3389317820100 3396365942784 3424769536000 3537881190400 3615272341440 3765908689000 3852865728000 3856290497536 3894915072000 3980116339200 4109723443200 4236647275125 4245457428480 4338326809728 4422351488000 4519090426800 4820363121920 4931668131840 4975145424000 5094548914176 5137154304000 5306821785600 5422908512160 5479631257600 5648863033500 5660609904640 5784435746304 5842372608000 6025453902400 6164585164800 6368186142720 6633527232000 6778635640200 6849539072000 7075762380800 7230544682880 7531817378000 7705731456000 7712580995072 7960232678400 8219446886400 8473294550250 8490914856960 8676653619456 8844702976000 9038180853600 9640726243840 9863336263680 9950290848000 10189097828352 10274308608000 10613643571200 10845817024320 11297726067000 11568871492608 11684745216000 12050907804800 12329170329600 12736372285440 13267054464000 13557271280400 13699078144000 14151524761600 14461089365760 15063634756000 15411462912000 15425161990144 15920465356800 16438893772800 16946589100500 16981829713920 17353307238912 17689405952000 18076361707200 19281452487680 19900581696000 20548617216000 21227287142400 21691634048640 22595452134000 23137742985216 24101815609600 24658340659200 25472744570880 26534108928000 27114542560800 27398156288000 28303049523200 28922178731520 30127269512000 30822925824000 30850323980288 31840930713600 33893178201000 34706614477824 35378811904000 36152723414400 38562904975360 39801163392000 41097234432000 42454574284800 43383268097280 45190904268000 46275485970432 48203631219200 49316681318400 50945489141760 53068217856000 54229085121600 57844357463040 60254539024000 61645851648000 61700647960576 63681861427200 67786356402000 69413228955648 70757623808000 72305446828800 77125809950720 79602326784000 82194468864000 84909148569600 86766536194560 90381808536000 92550971940864 96407262438400 106136435712000 108458170243200 115688714926080 120509078048000 123291703296000 123401295921152 127363722854400 135572712804000 138826457911296 141515247616000 144610893657600 154251619901440 159204653568000 173533072389120 180763617072000 185101943881728 192814524876800 212272871424000 216916340486400 231377429852160 241018156096000 246583406592000 254727445708800 271145425608000 277652915822592 289221787315200 308503239802880 318409307136000 347066144778240 361527234144000 370203887763456 385629049753600 424545742848000 433832680972800 462754859704320 482036312192000 542290851216000 555305831645184 578443574630400 617006479605760 636818614272000 694132289556480 723054468288000 771258099507200 867665361945600 925509719408640 964072624384000 1084581702432000 1110611663290368 1156887149260800 1273637228544000 1388264579112960 1446108936576000 1542516199014400 1735330723891200 1851019438817280 1928145248768000 2169163404864000 2313774298521600 2776529158225920 2892217873152000 3085032398028800 3470661447782400 3856290497536000 4338326809728000 4627548597043200 5553058316451840 5784435746304000 6941322895564800 7712580995072000 8676653619456000 9255097194086400 11568871492608000 13882645791129600 15425161990144000 17353307238912000 23137742985216000 27765291582259200 34706614477824000 46275485970432000 69413228955648000 138826457911296000
- Sum of all divisors σ(n): 506040788718950940
- Sum of proper divisors (its aliquot sum) s(n): 367214330807654940
- 138826457911296000 is an abundant number, because the sum of its proper divisors (367214330807654940) is greater than itself. Its abundance is 228387872896358940
Bases of 138826457911296000
- Binary: 1111011010011010111101101100011010011101010000000000000002
- Hexadecimal: 0x1ED35ED8D3A8000
- Base-36: 11YXVEBRGN40
Squares and roots of 138826457911296000
- 138826457911296000 squared (1388264579112960002) is 19272785416196839747004399616000000
- 138826457911296000 cubed (1388264579112960003) is 2675572533415089935311912436187561864462336000000000
-
The
square root of 138826457911296000 is 372594226.8893816343 -
The
cube root of 138826457911296000 is 517794.4776711569
Scales and comparisons
How big is 138826457911296000?- 138,826,457,911,296,000 seconds is equal to 4,414,251,943 years, 7 weeks, 5 days, 16 hours.
-
To count from 1 to 138,826,457,911,296,000 would take you about thirteen billion, two hundred forty-two million, seven hundred fifty-five thousand, eight hundred twenty-nine 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 138826457911296000 cubic inches would be around 43149.5 feet tall.
Recreational maths with 138826457911296000
- 138826457911296000 backwards is 000692119754628831
- 138826457911296000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138826457911296000's digits is 72
- More coming soon!
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"Number 138826457911296000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 138826457911296000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138826457911296000/
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The information we have on file for 138826457911296000 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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