138048120000
138,048,120,000 is an even composite number composed of six prime numbers multiplied together.
138048120000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 138048120000:
26 × 32 × 54 × 7 × 29 × 1889
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 29 × 1889)See below for interesting mathematical facts about the number 138048120000 from the Numbermatics database.
Names of 138048120000
- Cardinal: 138048120000 can be written as One hundred thirty-eight billion, forty-eight million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3804812 × 1011
Factors of 138048120000
Divisors of 138048120000
- Number of divisors d(n): 840
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 29 30 32 35 36 40 42 45 48 50 56 58 60 63 64 70 72 75 80 84 87 90 96 100 105 112 116 120 125 126 140 144 145 150 160 168 174 175 180 192 200 203 210 224 225 232 240 250 252 261 280 288 290 300 315 320 336 348 350 360 375 400 406 420 435 448 450 464 480 500 504 522 525 560 576 580 600 609 625 630 672 696 700 720 725 750 800 812 840 870 875 900 928 960 1000 1008 1015 1044 1050 1120 1125 1160 1200 1218 1250 1260 1305 1344 1392 1400 1440 1450 1500 1575 1600 1624 1680 1740 1750 1800 1827 1856 1875 1889 2000 2016 2030 2088 2100 2175 2240 2250 2320 2400 2436 2500 2520 2610 2625 2784 2800 2880 2900 3000 3045 3150 3248 3360 3480 3500 3600 3625 3654 3750 3778 4000 4032 4060 4176 4200 4350 4375 4500 4640 4800 4872 5000 5040 5075 5220 5250 5568 5600 5625 5667 5800 6000 6090 6300 6496 6525 6720 6960 7000 7200 7250 7308 7500 7556 7875 8000 8120 8352 8400 8700 8750 9000 9135 9280 9445 9744 10000 10080 10150 10440 10500 10875 11200 11250 11334 11600 12000 12180 12600 12992 13050 13125 13223 13920 14000 14400 14500 14616 15000 15112 15225 15750 16240 16704 16800 17001 17400 17500 18000 18125 18270 18890 19488 20000 20160 20300 20880 21000 21750 22500 22668 23200 24000 24360 25200 25375 26100 26250 26446 27840 28000 28335 29000 29232 30000 30224 30450 31500 32480 32625 33600 34002 34800 35000 36000 36250 36540 37780 38976 39375 39669 40000 40600 41760 42000 43500 45000 45336 45675 46400 47225 48720 50400 50750 52200 52500 52892 54375 54781 56000 56670 58000 58464 60000 60448 60900 63000 64960 65250 66115 68004 69600 70000 72000 72500 73080 75560 76125 78750 79338 81200 83520 84000 85005 87000 90000 90672 91350 94450 97440 100800 101500 104400 105000 105784 108750 109562 113340 116000 116928 119007 120000 120896 121800 126000 126875 130500 132230 136008 139200 140000 141675 145000 146160 151120 152250 157500 158676 162400 163125 164343 168000 170010 174000 180000 181344 182700 188900 194880 198345 203000 208800 210000 211568 217500 219124 226680 228375 232000 236125 238014 243600 252000 253750 261000 264460 272016 273905 280000 283350 290000 292320 302240 304500 315000 317352 324800 326250 328686 330575 340020 348000 360000 362688 365400 377800 380625 383467 396690 406000 417600 420000 423136 425025 435000 438248 453360 456750 472250 476028 487200 493029 504000 507500 522000 528920 544032 547810 566700 580000 584640 595035 604480 609000 630000 634704 652500 657372 661150 680040 696000 708375 730800 755600 761250 766934 793380 812000 821715 840000 846272 850050 870000 876496 906720 913500 944500 952056 974400 986058 991725 1015000 1044000 1057840 1088064 1095620 1133400 1141875 1150401 1160000 1180625 1190070 1218000 1260000 1269408 1305000 1314744 1322300 1360080 1369525 1416750 1461600 1511200 1522500 1533868 1586760 1624000 1643430 1652875 1700100 1740000 1752992 1813440 1827000 1889000 1904112 1917335 1972116 1983450 2030000 2088000 2115680 2125125 2191240 2266800 2283750 2300802 2361250 2380140 2436000 2465145 2520000 2538816 2610000 2629488 2644600 2720160 2739050 2833500 2923200 2975175 3022400 3045000 3067736 3173520 3286860 3305750 3400200 3451203 3480000 3505984 3541875 3654000 3778000 3808224 3834670 3944232 3966900 4060000 4108575 4231360 4250250 4382480 4533600 4567500 4601604 4722500 4760280 4872000 4930290 4958625 5220000 5258976 5289200 5440320 5478100 5667000 5752005 5950350 6090000 6135472 6347040 6573720 6611500 6800400 6847625 6902406 7083750 7308000 7556000 7616448 7669340 7888464 7933800 8120000 8217150 8264375 8500500 8764960 9067200 9135000 9203208 9445000 9520560 9586675 9860580 9917250 10440000 10517952 10578400 10625625 10956200 11334000 11504010 11900700 12180000 12270944 12325725 12694080 13147440 13223000 13600800 13695250 13804812 14167500 14616000 14875875 15112000 15338680 15776928 15867600 16434300 16528750 17001000 17256015 17529920 18270000 18406416 18890000 19041120 19173350 19721160 19834500 20542875 21156800 21251250 21912400 22668000 23008020 23801400 24360000 24541888 24651450 24793125 26294880 26446000 27201600 27390500 27609624 28335000 28760025 29751750 30677360 31553856 31735200 32868600 33057500 34002000 34238125 34512030 36540000 36812832 37780000 38082240 38346700 39442320 39669000 41085750 42502500 43824800 45336000 46016040 47602800 47933375 49302900 49586250 52589760 52892000 54781000 55219248 56670000 57520050 59503500 61354720 61628625 63470400 65737200 66115000 68004000 68476250 69024060 73080000 73625664 74379375 75560000 76693400 78884640 79338000 82171500 85005000 86280075 87649600 92032080 95205600 95866750 98605800 99172500 102714375 105784000 109562000 110438496 113340000 115040100 119007000 122709440 123257250 131474400 132230000 136008000 136952500 138048120 143800125 148758750 153386800 157769280 158676000 164343000 170010000 172560150 184064160 190411200 191733500 197211600 198345000 205428750 219124000 220876992 226680000 230080200 238014000 239666875 246514500 262948800 264460000 273905000 276096240 287600250 297517500 306773600 308143125 317352000 328686000 340020000 345120300 368128320 383467000 394423200 396690000 410857500 431400375 438248000 460160400 476028000 479333750 493029000 528920000 547810000 552192480 575200500 595035000 613547200 616286250 657372000 680040000 690240600 719000625 766934000 788846400 793380000 821715000 862800750 920320800 952056000 958667500 986058000 1095620000 1104384960 1150401000 1190070000 1232572500 1314744000 1380481200 1438001250 1533868000 1586760000 1643430000 1725601500 1840641600 1917335000 1972116000 2157001875 2191240000 2300802000 2380140000 2465145000 2760962400 2876002500 3067736000 3286860000 3451203000 3834670000 3944232000 4314003750 4601604000 4760280000 4930290000 5521924800 5752005000 6573720000 6902406000 7669340000 8628007500 9203208000 9860580000 11504010000 13804812000 15338680000 17256015000 19721160000 23008020000 27609624000 34512030000 46016040000 69024060000 138048120000
- Sum of all divisors σ(n): 584885901600
- Sum of proper divisors (its aliquot sum) s(n): 446837781600
- 138048120000 is an abundant number, because the sum of its proper divisors (446837781600) is greater than itself. Its abundance is 308789661600
Bases of 138048120000
- Binary: 100000001001000100111100100100110000002
- Hexadecimal: 0x20244F24C0
- Base-36: 1RF2AB40
Squares and roots of 138048120000
- 138048120000 squared (1380481200002) is 19057283435534400000000
- 138048120000 cubed (1380481200003) is 2630822150582665115328000000000000
-
The
square root of 138048120000 is 371548.2741179133 -
The
cube root of 138048120000 is 5168.2498281717
Scales and comparisons
How big is 138048120000?- 138,048,120,000 seconds is equal to 4,389 years, 26 weeks, 1 day, 4 hours.
-
To count from 1 to 138,048,120,000 would take you about eight thousand, seven hundred seventy-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 138048120000 cubic inches would be around 430.7 feet tall.
Recreational maths with 138048120000
- 138048120000 backwards is 000021840831
- The number of decimal digits it has is: 12
- The sum of 138048120000's digits is 27
- More coming soon!
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