138327203840000
138,327,203,840,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 138327203840000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1020 divisors.
138327203840000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and twenty divisors.
Prime factorization of 138327203840000:
216 × 54 × 72 × 413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 41 × 41 × 41)See below for interesting mathematical facts about the number 138327203840000 from the Numbermatics database.
Names of 138327203840000
- Cardinal: 138327203840000 can be written as One hundred thirty-eight trillion, three hundred twenty-seven billion, two hundred three million, eight hundred forty thousand.
Scientific notation
- Scientific notation: 1.3832720384 × 1014
Factors of 138327203840000
Divisors of 138327203840000
- Number of divisors d(n): 1020
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 56 64 70 80 82 98 100 112 125 128 140 160 164 175 196 200 205 224 245 250 256 280 287 320 328 350 392 400 410 448 490 500 512 560 574 625 640 656 700 784 800 820 875 896 980 1000 1024 1025 1120 1148 1225 1250 1280 1312 1400 1435 1568 1600 1640 1681 1750 1792 1960 2000 2009 2048 2050 2240 2296 2450 2500 2560 2624 2800 2870 3136 3200 3280 3362 3500 3584 3920 4000 4018 4096 4100 4375 4480 4592 4900 5000 5120 5125 5248 5600 5740 6125 6272 6400 6560 6724 7000 7168 7175 7840 8000 8036 8192 8200 8405 8750 8960 9184 9800 10000 10045 10240 10250 10496 11200 11480 11767 12250 12544 12800 13120 13448 14000 14336 14350 15680 16000 16072 16384 16400 16810 17500 17920 18368 19600 20000 20090 20480 20500 20992 22400 22960 23534 24500 25088 25600 25625 26240 26896 28000 28672 28700 30625 31360 32000 32144 32768 32800 33620 35000 35840 35875 36736 39200 40000 40180 40960 41000 41984 42025 44800 45920 47068 49000 50176 50225 51200 51250 52480 53792 56000 57344 57400 58835 61250 62720 64000 64288 65536 65600 67240 68921 70000 71680 71750 73472 78400 80000 80360 81920 82000 82369 83968 84050 89600 91840 94136 98000 100352 100450 102400 102500 104960 107584 112000 114688 114800 117670 122500 125440 128000 128576 131200 134480 137842 140000 143360 143500 146944 156800 160000 160720 163840 164000 164738 167936 168100 179200 179375 183680 188272 196000 200704 200900 204800 205000 209920 210125 215168 224000 229376 229600 235340 245000 250880 251125 256000 257152 262400 268960 275684 280000 286720 287000 293888 294175 313600 320000 321440 327680 328000 329476 335872 336200 344605 358400 358750 367360 376544 392000 401408 401800 409600 410000 411845 419840 420250 430336 448000 458752 459200 470680 482447 490000 501760 502250 512000 514304 524800 537920 551368 560000 573440 574000 587776 588350 627200 640000 642880 656000 658952 671744 672400 689210 716800 717500 734720 753088 784000 802816 803600 819200 820000 823690 839680 840500 860672 896000 918400 941360 964894 980000 1003520 1004500 1024000 1028608 1049600 1050625 1075840 1102736 1120000 1146880 1148000 1175552 1176700 1254400 1255625 1280000 1285760 1312000 1317904 1343488 1344800 1378420 1433600 1435000 1469440 1470875 1506176 1568000 1605632 1607200 1638400 1640000 1647380 1679360 1681000 1721344 1723025 1792000 1836800 1882720 1929788 1960000 2007040 2009000 2048000 2057216 2059225 2099200 2101250 2151680 2205472 2240000 2293760 2296000 2351104 2353400 2412235 2508800 2511250 2560000 2571520 2624000 2635808 2686976 2689600 2756840 2867200 2870000 2938880 2941750 3012352 3136000 3211264 3214400 3280000 3294760 3358720 3362000 3377129 3442688 3446050 3584000 3673600 3765440 3859576 3920000 4014080 4018000 4096000 4114432 4118450 4198400 4202500 4303360 4410944 4480000 4592000 4702208 4706800 4824470 5017600 5022500 5120000 5143040 5248000 5271616 5379200 5513680 5734400 5740000 5877760 5883500 6024704 6272000 6428800 6560000 6589520 6717440 6724000 6754258 6885376 6892100 7168000 7347200 7354375 7530880 7719152 7840000 8028160 8036000 8192000 8228864 8236900 8396800 8405000 8606720 8615125 8821888 8960000 9184000 9404416 9413600 9648940 10035200 10045000 10240000 10286080 10296125 10496000 10543232 10758400 11027360 11468800 11480000 11755520 11767000 12049408 12061175 12544000 12857600 13120000 13179040 13434880 13448000 13508516 13770752 13784200 14336000 14694400 14708750 15061760 15438304 15680000 16056320 16072000 16457728 16473800 16793600 16810000 16885645 17213440 17230250 17643776 17920000 18368000 18808832 18827200 19297880 20070400 20090000 20480000 20572160 20592250 20992000 21086464 21516800 22054720 22960000 23511040 23534000 24098816 24122350 25088000 25715200 26240000 26358080 26896000 27017032 27541504 27568400 28672000 29388800 29417500 30123520 30876608 31360000 32144000 32915456 32947600 33587200 33620000 33771290 34426880 34460500 35287552 35840000 36736000 37654400 38595760 40140800 40180000 40960000 41144320 41184500 41984000 42172928 43033600 43075625 44109440 45920000 47022080 47068000 48197632 48244700 50176000 51430400 51480625 52480000 52716160 53792000 54034064 55083008 55136800 57344000 58777600 58835000 60247040 60305875 61753216 62720000 64288000 65830912 65895200 67174400 67240000 67542580 68853760 68921000 70575104 71680000 73472000 75308800 77191520 80281600 80360000 82288640 82369000 83968000 84345856 84428225 86067200 86151250 88218880 91840000 94044160 94136000 96395264 96489400 100352000 102860800 102961250 104960000 105432320 107584000 108068128 110166016 110273600 117555200 117670000 120494080 120611750 123506432 125440000 128576000 131661824 131790400 134480000 135085160 137707520 137842000 141150208 143360000 146944000 150617600 154383040 160720000 164577280 164738000 167936000 168691712 168856450 172134400 172302500 176437760 183680000 188272000 192790528 192978800 200704000 205721600 205922500 209920000 210864640 215168000 216136256 220547200 235110400 235340000 240988160 241223500 247012864 250880000 257152000 263580800 268960000 270170320 275415040 275684000 282300416 286720000 293888000 301235200 301529375 308766080 321440000 329154560 329476000 335872000 337383424 337712900 344268800 344605000 352875520 367360000 376544000 385581056 385957600 401408000 411443200 411845000 419840000 421729280 422141125 430336000 432272512 441094400 470220800 470680000 481976320 482447000 494025728 501760000 514304000 527161600 537920000 540340640 550830080 551368000 564600832 587776000 602470400 603058750 617532160 642880000 658309120 658952000 674766848 675425800 688537600 689210000 705751040 734720000 753088000 771162112 771915200 822886400 823690000 839680000 843458560 844282250 860672000 864545024 882188800 941360000 963952640 964894000 988051456 1003520000 1028608000 1054323200 1075840000 1080681280 1102736000 1129201664 1175552000 1204940800 1206117500 1235064320 1285760000 1317904000 1349533696 1350851600 1377075200 1378420000 1411502080 1469440000 1506176000 1543830400 1645772800 1647380000 1679360000 1686917120 1688564500 1721344000 1729090048 1764377600 1882720000 1927905280 1929788000 1976102912 2007040000 2057216000 2108646400 2110705625 2151680000 2161362560 2205472000 2258403328 2351104000 2409881600 2412235000 2470128640 2571520000 2635808000 2699067392 2701703200 2754150400 2756840000 2823004160 2938880000 3012352000 3087660800 3291545600 3294760000 3373834240 3377129000 3442688000 3458180096 3528755200 3765440000 3855810560 3859576000 3952205824 4114432000 4217292800 4221411250 4303360000 4322725120 4410944000 4516806656 4819763200 4824470000 4940257280 5143040000 5271616000 5398134784 5403406400 5513680000 5646008320 5877760000 6024704000 6175321600 6589520000 6747668480 6754258000 6885376000 6916360192 7057510400 7530880000 7719152000 7904411648 8228864000 8434585600 8442822500 8606720000 8645450240 8821888000 9639526400 9648940000 9880514560 10286080000 10543232000 10806812800 11027360000 11292016640 11755520000 12049408000 12350643200 13179040000 13495336960 13508516000 13770752000 13832720384 14115020800 15061760000 15438304000 15808823296 16457728000 16869171200 16885645000 17213440000 17290900480 17643776000 19279052800 19297880000 19761029120 20572160000 21086464000 21613625600 22054720000 22584033280 24098816000 24701286400 26358080000 26990673920 27017032000 27665440768 28230041600 30123520000 30876608000 31617646592 33738342400 33771290000 34426880000 34581800960 35287552000 38595760000 39522058240 41144320000 42172928000 43227251200 44109440000 48197632000 49402572800 52716160000 54034064000 55330881536 56460083200 60247040000 61753216000 67476684800 67542580000 68853760000 69163601920 70575104000 77191520000 79044116480 82288640000 84345856000 86454502400 88218880000 96395264000 98805145600 105432320000 108068128000 110661763072 112920166400 120494080000 123506432000 134953369600 135085160000 138327203840 141150208000 154383040000 158088232960 168691712000 172909004800 176437760000 197610291200 210864640000 216136256000 221323526144 240988160000 247012864000 270170320000 276654407680 282300416000 308766080000 337383424000 345818009600 352875520000 395220582400 421729280000 432272512000 481976320000 494025728000 540340640000 553308815360 564600832000 617532160000 674766848000 691636019200 705751040000 790441164800 843458560000 864545024000 988051456000 1080681280000 1106617630720 1235064320000 1383272038400 1411502080000 1686917120000 1729090048000 1976102912000 2161362560000 2470128640000 2766544076800 2823004160000 3373834240000 3458180096000 3952205824000 4322725120000 4940257280000 5533088153600 6916360192000 8645450240000 9880514560000 13832720384000 17290900480000 19761029120000 27665440768000 34581800960000 69163601920000 138327203840000
- Sum of all divisors σ(n): 412199807173308
- Sum of proper divisors (its aliquot sum) s(n): 273872603333308
- 138327203840000 is an abundant number, because the sum of its proper divisors (273872603333308) is greater than itself. Its abundance is 135545399493308
Bases of 138327203840000
- Binary: 111110111001110110011111101100100000000000000002
- Hexadecimal: 0x7DCECFD90000
- Base-36: 1D16N1NW8W
Squares and roots of 138327203840000
- 138327203840000 squared (1383272038400002) is 19134415322192910745600000000
- 138327203840000 cubed (1383272038400003) is 2646810168632198040509537583104000000000000
-
The
square root of 138327203840000 is 11761258.5993166561 -
The
cube root of 138327203840000 is 51717.3026699703
Scales and comparisons
How big is 138327203840000?- 138,327,203,840,000 seconds is equal to 4,398,377 years, 10 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,327,203,840,000 would take you about ten million, nine hundred ninety-five thousand, nine hundred forty-three 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 138327203840000 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138327203840000
- 138327203840000 backwards is 000048302723831
- 138327203840000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138327203840000's digits is 41
- More coming soon!
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The information we have on file for 138327203840000 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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