138728837419200
138,728,837,419,200 is an even composite number composed of six prime numbers multiplied together.
138728837419200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138728837419200:
26 × 33 × 52 × 7 × 463 × 990841
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 463 × 990841)See below for interesting mathematical facts about the number 138728837419200 from the Numbermatics database.
Names of 138728837419200
- Cardinal: 138728837419200 can be written as One hundred thirty-eight trillion, seven hundred twenty-eight billion, eight hundred thirty-seven million, four hundred nineteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.387288374192 × 1014
Factors of 138728837419200
Divisors of 138728837419200
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 126 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 252 270 280 288 300 315 320 336 350 360 378 400 420 432 448 450 463 480 504 525 540 560 576 600 630 672 675 700 720 756 800 840 864 900 926 945 960 1008 1050 1080 1120 1200 1260 1344 1350 1389 1400 1440 1512 1575 1600 1680 1728 1800 1852 1890 2016 2100 2160 2240 2315 2400 2520 2700 2778 2800 2880 3024 3150 3241 3360 3600 3704 3780 4032 4167 4200 4320 4630 4725 4800 5040 5400 5556 5600 6048 6300 6482 6720 6945 7200 7408 7560 8334 8400 8640 9260 9450 9723 10080 10800 11112 11200 11575 12096 12501 12600 12964 13890 14400 14816 15120 16205 16668 16800 18520 18900 19446 20160 20835 21600 22224 23150 25002 25200 25928 27780 29169 29632 30240 32410 33336 33600 34725 37040 37800 38892 41670 43200 44448 46300 48615 50004 50400 51856 55560 58338 60480 62505 64820 66672 69450 74080 75600 77784 81025 83340 87507 88896 92600 97230 100008 100800 103712 104175 111120 116676 125010 129640 133344 138900 145845 148160 151200 155568 162050 166680 175014 185200 194460 200016 207424 208350 222240 233352 243075 250020 259280 266688 277800 291690 302400 311136 312525 324100 333360 350028 370400 388920 400032 416700 437535 444480 466704 486150 500040 518560 555600 583380 622272 625050 648200 666720 700056 729225 740800 777840 800064 833400 875070 933408 972300 990841 1000080 1037120 1111200 1166760 1250100 1296400 1333440 1400112 1458450 1555680 1666800 1750140 1866816 1944600 1981682 2000160 2187675 2222400 2333520 2500200 2592800 2800224 2916900 2972523 3111360 3333600 3500280 3889200 3963364 4000320 4375350 4667040 4954205 5000400 5185600 5600448 5833800 5945046 6667200 6935887 7000560 7778400 7926728 8750700 8917569 9334080 9908410 10000800 11667600 11890092 13871774 14001120 14862615 15556800 15853456 17501400 17835138 19816820 20001600 20807661 23335200 23780184 24771025 26752707 27743548 28002240 29725230 31706912 34679435 35002800 35670276 39633640 41615322 44587845 46670400 47560368 49542050 53505414 55487096 59450460 62422983 63413824 69358870 70005600 71340552 74313075 79267280 83230644 89175690 95120736 99084100 104038305 107010828 110974192 118900920 124845966 133763535 138717740 140011200 142681104 148626150 158534560 166461288 173397175 178351380 187268949 190241472 198168200 208076610 214021656 221948384 222939225 237801840 249691932 267527070 277435480 285362208 297252300 312114915 317069120 332922576 346794350 356702760 374537898 396336400 416153220 428043312 443896768 445878450 458759383 475603680 499383864 520191525 535054140 554870960 570724416 594504600 624229830 665845152 668817675 693588700 713405520 749075796 792672800 832306440 856086624 891756900 917518766 936344745 951207360 998767728 1040383050 1070108280 1109741920 1189009200 1248459660 1331690304 1337635350 1376278149 1387177400 1426811040 1498151592 1560574575 1585345600 1664612880 1712173248 1783513800 1835037532 1872689490 1997535456 2080766100 2140216560 2219483840 2293796915 2378018400 2496919320 2675270700 2752556298 2774354800 2853622080 2996303184 3121149150 3211315681 3329225760 3567027600 3670075064 3745378980 3995070912 4128834447 4161532200 4280433120 4587593830 4681723725 4756036800 4993838640 5350541400 5505112596 5548709600 5992606368 6242298300 6422631362 6658451520 6881390745 7134055200 7340150128 7490757960 8257668894 8323064400 8560866240 9175187660 9363447450 9633947043 9987677280 10701082800 11010225192 11097419200 11468984575 11985212736 12386503341 12484596600 12845262724 13762781490 14268110400 14680300256 14981515920 16056578405 16515337788 16646128800 18350375320 18726894900 19267894086 19975354560 20644172235 21402165600 22020450384 22937969150 24773006682 24969193200 25690525448 27525562980 28901841129 29360600512 29963031840 32113156810 33030675576 33292257600 34406953725 36700750640 37453789800 38535788172 41288344470 42804331200 44040900768 45875938300 48169735215 49546013364 49938386400 51381050896 55051125960 57803682258 59926063680 61932516705 64226313620 66061351152 68813907450 73401501280 74907579600 77071576344 80282892025 82576688940 86705523387 88081801536 91751876600 96339470430 99092026728 99876772800 102762101792 103220861175 110102251920 115607364516 123865033410 128452627240 132122702304 137627814900 144509205645 146803002560 149815159200 154143152688 160565784050 165153377880 173411046774 183503753200 192678940860 198184053456 205524203584 206441722350 220204503840 231214729032 240848676075 247730066820 256905254480 264245404608 275255629800 289018411290 299630318400 308286305376 309662583525 321131568100 330306755760 346822093548 367007506400 385357881720 396368106912 412883444700 433527616935 440409007680 462429458064 481697352150 495460133640 513810508960 550511259600 578036822580 616572610752 619325167050 642263136200 660613511520 693644187096 722546028225 734015012800 770715763440 792736213824 825766889400 867055233870 924858916128 963394704300 990920267280 1027621017920 1101022519200 1156073645160 1238650334100 1284526272400 1321227023040 1387288374192 1445092056450 1541431526880 1651533778800 1734110467740 1849717832256 1926789408600 1981840534560 2167638084675 2202045038400 2312147290320 2477300668200 2569052544800 2774576748384 2890184112900 3082863053760 3303067557600 3468220935480 3853578817200 3963681069120 4335276169350 4624294580640 4954601336400 5138105089600 5549153496768 5780368225800 6606135115200 6936441870960 7707157634400 8670552338700 9248589161280 9909202672800 11560736451600 13872883741920 15414315268800 17341104677400 19818405345600 23121472903200 27745767483840 34682209354800 46242945806400 69364418709600 138728837419200
- Sum of all divisors σ(n): 579212306769920
- Sum of proper divisors (its aliquot sum) s(n): 440483469350720
- 138728837419200 is an abundant number, because the sum of its proper divisors (440483469350720) is greater than itself. Its abundance is 301754631931520
Bases of 138728837419200
- Binary: 111111000101100010100110001001100010000110000002
- Hexadecimal: 0x7E2C531310C0
- Base-36: 1D6B5BXDC0
Squares and roots of 138728837419200
- 138728837419200 squared (1387288374192002) is 19245690331682826116528640000
- 138728837419200 cubed (1387288374192003) is 2669932245044296107060685412440485888000000
-
The
square root of 138728837419200 is 11778320.6536076271 -
The
cube root of 138728837419200 is 51767.3081012505
Scales and comparisons
How big is 138728837419200?- 138,728,837,419,200 seconds is equal to 4,411,147 years, 47 weeks, 3 days, 12 hours.
-
To count from 1 to 138,728,837,419,200 would take you about eleven million, twenty-seven thousand, eight hundred sixty-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 138728837419200 cubic inches would be around 4313.9 feet tall.
Recreational maths with 138728837419200
- 138728837419200 backwards is 002914738827831
- 138728837419200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138728837419200's digits is 63
- More coming soon!
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The information we have on file for 138728837419200 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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