138225601920000
138,225,601,920,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138225601920000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2640 divisors.
138225601920000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty divisors.
Prime factorization of 138225601920000:
210 × 3 × 54 × 7 × 172 × 19 × 1873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 17 × 17 × 19 × 1873)See below for interesting mathematical facts about the number 138225601920000 from the Numbermatics database.
Names of 138225601920000
- Cardinal: 138225601920000 can be written as One hundred thirty-eight trillion, two hundred twenty-five billion, six hundred one million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3822560192 × 1014
Factors of 138225601920000
Divisors of 138225601920000
- Number of divisors d(n): 2640
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 19 20 21 24 25 28 30 32 34 35 38 40 42 48 50 51 56 57 60 64 68 70 75 76 80 84 85 95 96 100 102 105 112 114 119 120 125 128 133 136 140 150 152 160 168 170 175 190 192 200 204 210 224 228 238 240 250 255 256 266 272 280 285 289 300 304 320 323 336 340 350 357 375 380 384 399 400 408 420 425 448 456 475 476 480 500 510 512 525 532 544 560 570 578 595 600 608 625 640 646 665 672 680 700 714 750 760 768 798 800 816 840 850 867 875 896 912 950 952 960 969 1000 1020 1024 1050 1064 1088 1120 1140 1156 1190 1200 1216 1250 1275 1280 1292 1330 1344 1360 1400 1425 1428 1445 1500 1520 1536 1596 1600 1615 1632 1680 1700 1734 1750 1785 1792 1824 1873 1875 1900 1904 1920 1938 1995 2000 2023 2040 2100 2125 2128 2176 2240 2261 2280 2312 2375 2380 2400 2432 2500 2550 2560 2584 2625 2660 2688 2720 2800 2850 2856 2890 2975 3000 3040 3072 3192 3200 3230 3264 3325 3360 3400 3468 3500 3570 3584 3648 3746 3750 3800 3808 3840 3876 3990 4000 4046 4080 4200 4250 4256 4335 4352 4375 4480 4522 4560 4624 4750 4760 4800 4845 4864 5000 5100 5120 5168 5250 5320 5376 5440 5491 5600 5619 5700 5712 5780 5950 6000 6069 6080 6375 6384 6400 6460 6528 6650 6720 6783 6800 6936 7000 7125 7140 7168 7225 7296 7492 7500 7600 7616 7680 7752 7980 8000 8075 8092 8160 8400 8500 8512 8670 8704 8750 8925 8960 9044 9120 9248 9365 9500 9520 9600 9690 9728 9975 10000 10115 10200 10336 10500 10625 10640 10752 10880 10982 11200 11238 11305 11400 11424 11560 11875 11900 12000 12138 12160 12750 12768 12800 12920 13056 13111 13125 13300 13440 13566 13600 13872 14000 14250 14280 14450 14592 14875 14984 15000 15200 15232 15360 15504 15960 16000 16150 16184 16320 16473 16625 16800 17000 17024 17340 17408 17500 17850 17920 18088 18240 18496 18730 19000 19040 19200 19380 19456 19950 20000 20230 20400 20672 21000 21250 21280 21504 21675 21760 21964 22400 22476 22610 22800 22848 23120 23750 23800 24000 24225 24276 24320 25500 25536 25600 25840 26112 26222 26250 26600 26880 27132 27200 27455 27744 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179981252500 181875792000 184300802560 193593280000 197465145600 203272944000 205692860000 207858048000 213971520000 215977503000 221160963072 227344740000 230376003200 232311936000 239144640000 242501056000 246831432000 254091180000 259822560000 263286860800 269971878750 271030592000 276451203840 287970004000 290389920000 291001267200 303126320000 308539290000 325236710400 329108576000 338788240000 345564004800 346430080000 359962505000 363751584000 368601605120 387186560000 394930291200 406545888000 411385720000 427943040000 431955006000 454689480000 460752006400 478289280000 485002112000 493662864000 508182360000 519645120000 539943757500 542061184000 552902407680 575940008000 580779840000 606252640000 617078580000 658217152000 677576480000 691128009600 719925010000 727503168000 789860582400 813091776000 822771440000 863910012000 909378960000 921504012800 987325728000 1016364720000 1039290240000 1079887515000 1105804815360 1151880016000 1161559680000 1212505280000 1234157160000 1316434304000 1355152960000 1382256019200 1439850020000 1455006336000 1626183552000 1645542880000 1727820024000 1818757920000 1843008025600 1974651456000 2032729440000 2159775030000 2303760032000 2425010560000 2468314320000 2710305920000 2764512038400 2879700040000 3291085760000 3455640048000 3637515840000 3949302912000 4065458880000 4319550060000 4607520064000 4936628640000 5529024076800 5759400080000 6582171520000 6911280096000 7275031680000 8130917760000 8639100120000 9215040128000 9873257280000 11518800160000 13822560192000 17278200240000 19746514560000 23037600320000 27645120384000 34556400480000 46075200640000 69112800960000 138225601920000
- Sum of all divisors σ(n): 588649544848640
- Sum of proper divisors (its aliquot sum) s(n): 450423942928640
- 138225601920000 is an abundant number, because the sum of its proper divisors (450423942928640) is greater than itself. Its abundance is 312198341008640
Bases of 138225601920000
- Binary: 111110110110111001001111110011010111100000000002
- Hexadecimal: 0x7DB727E6BC00
- Base-36: 1CZVYQI51C
Squares and roots of 138225601920000
- 138225601920000 squared (1382256019200002) is 19106317026146307686400000000
- 138225601920000 cubed (1382256019200003) is 2640982171413417757938162597888000000000000
-
The
square root of 138225601920000 is 11756938.4586294403 -
The
cube root of 138225601920000 is 51704.6373755791
Scales and comparisons
How big is 138225601920000?- 138,225,601,920,000 seconds is equal to 4,395,146 years, 30 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 138,225,601,920,000 would take you about ten million, nine hundred eighty-seven thousand, eight hundred sixty-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 138225601920000 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138225601920000
- 138225601920000 backwards is 000029106522831
- The number of decimal digits it has is: 15
- The sum of 138225601920000's digits is 39
- More coming soon!
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Cite this page
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The information we have on file for 138225601920000 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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