138406716000
138,406,716,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138406716000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
138406716000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138406716000:
25 × 32 × 53 × 7 × 19 × 137 × 211
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 19 × 137 × 211)See below for interesting mathematical facts about the number 138406716000 from the Numbermatics database.
Names of 138406716000
- Cardinal: 138406716000 can be written as One hundred thirty-eight billion, four hundred six million, seven hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38406716 × 1011
Factors of 138406716000
Divisors of 138406716000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 30 32 35 36 38 40 42 45 48 50 56 57 60 63 70 72 75 76 80 84 90 95 96 100 105 112 114 120 125 126 133 137 140 144 150 152 160 168 171 175 180 190 200 210 211 224 225 228 240 250 252 266 274 280 285 288 300 304 315 336 342 350 360 375 380 399 400 411 420 422 450 456 475 480 500 504 525 532 548 560 570 600 608 630 633 665 672 684 685 700 720 750 760 798 800 822 840 844 855 875 900 912 950 959 1000 1008 1050 1055 1064 1096 1120 1125 1140 1197 1200 1233 1260 1266 1330 1368 1370 1400 1425 1440 1477 1500 1520 1575 1596 1644 1680 1688 1710 1750 1800 1824 1899 1900 1918 1995 2000 2016 2055 2100 2110 2128 2192 2250 2280 2375 2394 2400 2466 2520 2532 2603 2625 2660 2736 2740 2800 2850 2877 2954 3000 3040 3150 3165 3192 3288 3325 3360 3376 3420 3425 3500 3600 3798 3800 3836 3990 4000 4009 4110 4200 4220 4256 4275 4384 4431 4500 4560 4750 4788 4795 4932 5040 5064 5206 5250 5275 5320 5472 5480 5600 5700 5754 5908 5985 6000 6165 6300 6330 6384 6576 6650 6752 6840 6850 7000 7125 7200 7385 7596 7600 7672 7809 7875 7980 8018 8220 8400 8440 8550 8631 8862 9000 9120 9495 9500 9576 9590 9864 9975 10080 10128 10275 10412 10500 10550 10640 10960 11400 11508 11816 11970 12000 12027 12330 12600 12660 12768 13015 13152 13293 13300 13680 13700 14000 14250 14385 14770 15192 15200 15344 15618 15750 15825 15960 16036 16440 16625 16800 16880 17100 17125 17262 17724 18000 18221 18990 19000 19152 19180 19728 19950 20045 20256 20550 20824 21000 21100 21280 21375 21920 22155 22800 23016 23427 23632 23940 23975 24054 24660 25200 25320 26030 26375 26586 26600 27360 27400 28000 28063 28500 28770 28907 29540 29925 30384 30688 30825 31236 31500 31650 31920 32072 32880 33250 33760 34200 34250 34524 35448 36000 36081 36442 36925 37980 38000 38304 38360 39045 39456 39900 40090 41100 41648 42000 42200 42750 43155 44310 45600 46032 46854 47264 47475 47880 47950 48108 49320 49875 50400 50640 51375 52060 52750 53172 53200 54663 54800 56126 57000 57540 57814 59080 59850 60135 60768 61650 62472 63000 63300 63840 64144 65075 65760 66465 66500 68400 68500 69048 70896 71925 72162 72884 73850 75960 76000 76720 78090 79125 79800 80180 82200 83296 84000 84189 84400 85500 86310 86721 88620 91105 92064 93708 94950 95760 95900 96216 98640 99750 100225 101280 102750 104120 105500 106344 106400 109326 109600 110775 112252 114000 115080 115628 117135 118160 119700 119875 120270 123300 124944 126000 126600 128288 130150 132930 133000 136800 137000 138096 140315 141792 143850 144324 144535 145768 147700 149625 151920 153440 154125 156180 158250 159600 160360 163989 164400 168378 168800 171000 172620 173442 177240 180405 182210 184625 187416 189900 191520 191800 192432 195225 197280 199500 200450 202349 205500 208240 211000 212688 215775 218652 221550 224504 228000 230160 231256 234270 236320 237375 239400 239750 240540 246600 249888 252000 252567 253200 260163 260300 265860 266000 273315 274000 276192 280630 287700 288648 289070 291536 295400 299250 300675 303840 308250 312360 316500 319200 320720 325375 327978 328800 332325 336756 342000 345240 346884 354480 359625 360810 364420 369250 374832 379800 383600 384864 390450 399000 400900 404698 411000 416480 420945 422000 425376 431550 433605 437304 443100 449008 455525 460320 462512 468540 474750 478800 479500 481080 493200 501125 505134 506400 520326 520600 531720 532000 546630 548000 549233 553875 561260 575400 577296 578140 583072 585675 590800 598500 601350 607047 616500 624720 633000 641440 650750 655956 664650 673512 684000 690480 693768 701575 708960 719250 721620 722675 728840 738500 749664 759600 767200 780900 798000 801800 809396 819945 822000 841890 844000 863100 867210 874608 886200 898016 902025 911050 925024 937080 949500 957600 959000 962160 976125 986400 1002250 1010268 1011745 1040652 1041200 1063440 1078875 1093260 1098466 1107750 1122520 1150800 1154592 1156280 1171350 1181600 1197000 1202700 1214094 1233000 1249440 1262835 1266000 1300815 1301500 1311912 1329300 1347024 1366575 1380960 1387536 1403150 1438500 1443240 1445350 1457680 1477000 1503375 1519200 1561800 1596000 1603600 1618792 1639890 1644000 1647699 1661625 1683780 1726200 1734420 1749216 1772400 1804050 1821141 1822100 1874160 1899000 1918000 1924320 1952250 2004500 2020536 2023490 2081304 2082400 2104725 2126880 2157750 2168025 2186520 2196932 2215500 2245040 2277625 2301600 2312560 2342700 2394000 2405400 2428188 2466000 2525670 2532000 2601630 2603000 2623824 2658600 2694048 2733150 2746165 2775072 2806300 2877000 2886480 2890700 2915360 2928375 2954000 3006750 3035235 3123600 3207200 3237584 3279780 3295398 3323250 3367560 3452400 3468840 3507875 3544800 3608100 3613375 3642282 3644200 3748320 3798000 3836000 3844631 3904500 4009000 4041072 4046980 4099725 4162608 4209450 4315500 4336050 4373040 4393864 4431000 4490080 4510125 4555250 4625120 4685400 4788000 4810800 4856376 4932000 4943097 5051340 5058725 5203260 5206000 5247648 5317200 5466300 5492330 5612600 5754000 5772960 5781400 5856750 5908000 6013500 6070470 6247200 6314175 6475168 6504075 6559560 6590796 6646500 6735120 6832875 6904800 6937680 7015750 7216200 7226750 7284564 7288400 7596000 7689262 7809000 8018000 8082144 8093960 8199450 8238495 8325216 8418900 8631000 8672100 8746080 8787728 8862000 9020250 9105705 9110500 9370800 9621600 9712752 9886194 10102680 10117450 10406520 10412000 10523625 10634400 10840125 10932600 10984660 11225200 11508000 11533893 11562800 11713500 12027000 12140940 12628350 13008150 13119120 13181592 13293000 13470240 13665750 13730825 13875360 14031500 14432400 14453500 14569128 14576800 15176175 15378524 15618000 16036000 16187920 16398900 16476990 16837800 17262000 17344200 17575456 17724000 18040500 18211410 18221000 18741600 19223155 19425504 19772388 20205360 20234900 20498625 20813040 21047250 21680250 21865200 21969320 22450400 23067786 23125600 23427000 24054000 24281880 24715485 25256700 25293625 26016300 26238240 26363184 26586000 27331500 27461650 28063000 28864800 28907000 29138256 30352350 30757048 31236000 31570875 32375840 32520375 32797800 32953980 33675600 34524000 34601679 34688400 36081000 36422820 36442000 38446310 39544776 40410720 40469800 40997250 41192475 41626080 42094500 43360500 43730400 43938640 45528525 46135572 46854000 48108000 48563760 49430970 50513400 50587250 52032600 52726368 53172000 54663000 54923300 56126000 57669465 57814000 58276512 60704700 61514096 63141750 65040750 65595600 65907960 67351200 68654125 69203358 69376800 72162000 72845640 72884000 75880875 76892620 79089552 80939600 81994500 82384950 84189000 86721000 87877280 91057050 92271144 93708000 96115775 97127520 98861940 101026800 101174500 104065200 109326000 109846600 112252000 115338930 115628000 121409400 123028192 123577425 126283500 130081500 131191200 131815920 137308250 138406716 144324000 145691280 151761750 153785240 158179104 161879200 163989000 164769900 168378000 173008395 173442000 182114100 184542288 192231550 197723880 202053600 202349000 205962375 208130400 218652000 219693200 227642625 230677860 242818800 247154850 252567000 260163000 263631840 274616500 276813432 288347325 291382560 303523500 307570480 327978000 329539800 336756000 346016790 346884000 364228200 369084576 384463100 395447760 404698000 411924750 439386400 455285250 461355720 480578875 485637600 494309700 505134000 520326000 549233000 553626864 576694650 607047000 615140960 617887125 655956000 659079600 692033580 728456400 768926200 790895520 809396000 823849500 865041975 910570500 922711440 961157750 988619400 1010268000 1040652000 1098466000 1107253728 1153389300 1214094000 1235774250 1318159200 1384067160 1441736625 1456912800 1537852400 1647699000 1730083950 1821141000 1845422880 1922315500 1977238800 2196932000 2306778600 2428188000 2471548500 2768134320 2883473250 3075704800 3295398000 3460167900 3642282000 3844631000 3954477600 4325209875 4613557200 4943097000 5536268640 5766946500 6590796000 6920335800 7284564000 7689262000 8650419750 9227114400 9886194000 11533893000 13840671600 15378524000 17300839500 19772388000 23067786000 27681343200 34601679000 46135572000 69203358000 138406716000
- Sum of all divisors σ(n): 598058173440
- Sum of proper divisors (its aliquot sum) s(n): 459651457440
- 138406716000 is an abundant number, because the sum of its proper divisors (459651457440) is greater than itself. Its abundance is 321244741440
Bases of 138406716000
- Binary: 100000001110011010111011100010011000002
- Hexadecimal: 0x2039AEE260
- Base-36: 1RKZS9K0
Squares and roots of 138406716000
- 138406716000 squared (1384067160002) is 19156419033904656000000
- 138406716000 cubed (1384067160003) is 2651377048802636094069696000000000
-
The
square root of 138406716000 is 372030.5310051851 -
The
cube root of 138406716000 is 5172.7210016891
Scales and comparisons
How big is 138406716000?- 138,406,716,000 seconds is equal to 4,400 years, 47 weeks, 14 hours.
-
To count from 1 to 138,406,716,000 would take you about eight thousand, eight hundred one 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 138406716000 cubic inches would be around 431.1 feet tall.
Recreational maths with 138406716000
- 138406716000 backwards is 000617604831
- 138406716000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138406716000's digits is 36
- More coming soon!
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Cite this page
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The information we have on file for 138406716000 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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