138427632720
138,427,632,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138427632720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138427632720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138427632720:
24 × 35 × 5 × 13 × 19 × 127 × 227
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 19 × 127 × 227)See below for interesting mathematical facts about the number 138427632720 from the Numbermatics database.
Names of 138427632720
- Cardinal: 138427632720 can be written as One hundred thirty-eight billion, four hundred twenty-seven million, six hundred thirty-two thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3842763272 × 1011
Factors of 138427632720
Divisors of 138427632720
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 27 30 36 38 39 40 45 48 52 54 57 60 65 72 76 78 80 81 90 95 104 108 114 117 120 127 130 135 144 152 156 162 171 180 190 195 208 216 227 228 234 240 243 247 254 260 270 285 304 312 324 342 351 360 380 381 390 405 432 454 456 468 486 494 508 513 520 540 570 585 624 635 648 681 684 702 720 741 760 762 780 810 855 908 912 936 972 988 1016 1026 1040 1053 1080 1135 1140 1143 1170 1215 1235 1270 1296 1362 1368 1404 1482 1520 1524 1539 1560 1620 1651 1710 1755 1816 1872 1905 1944 1976 2032 2043 2052 2106 2160 2223 2270 2280 2286 2340 2413 2430 2470 2540 2565 2724 2736 2808 2951 2964 3048 3078 3120 3159 3240 3302 3405 3420 3429 3510 3632 3705 3810 3888 3952 4086 4104 4212 4313 4446 4540 4560 4572 4617 4680 4826 4860 4940 4953 5080 5130 5265 5448 5616 5715 5902 5928 6096 6129 6156 6318 6480 6604 6669 6810 6840 6858 7020 7239 7410 7620 7695 8172 8208 8255 8424 8626 8853 8892 9080 9144 9234 9360 9652 9720 9880 9906 10160 10215 10260 10287 10530 10896 11115 11430 11804 11856 12065 12258 12312 12636 12939 13208 13338 13620 13680 13716 14040 14478 14755 14820 14859 15240 15390 15795 16344 16510 16848 17145 17252 17706 17784 18160 18288 18387 18468 19304 19440 19760 19812 20007 20430 20520 20574 21060 21565 21717 22230 22860 23085 23608 24130 24516 24624 24765 25272 25878 26416 26559 26676 27240 27432 28080 28829 28956 29510 29640 29718 30480 30645 30780 30861 31369 31590 32688 33020 33345 34290 34504 35412 35568 36195 36774 36936 38608 38817 39624 40014 40860 41040 41148 42120 43130 43434 44265 44460 44577 45720 46170 47216 48260 49032 49530 50544 51435 51756 53118 53352 54480 54864 55161 56069 57658 57912 59020 59280 59436 60021 61290 61560 61722 62738 63180 64695 65151 66040 66690 68580 69008 70824 72390 73548 73872 74295 77634 79248 79677 80028 81720 82296 84240 86260 86487 86868 88530 88920 89154 91440 91935 92340 94107 96520 98064 99060 100035 102870 103512 106236 106704 108585 110322 112138 115316 115824 116451 118040 118872 120042 122580 123120 123444 125476 126360 129390 130302 132080 132795 133380 133731 137160 141648 144145 144780 147096 148590 154305 155268 156845 159354 160056 163440 164592 168207 172520 172974 173736 177060 177840 178308 183870 184680 188214 193040 194085 195453 198120 200070 205740 207024 212472 217170 220644 222885 224276 230632 232902 236080 237744 239031 240084 245160 246888 250952 252720 258780 259461 260604 265590 266760 267462 274320 275805 280345 282321 288290 289560 294192 297180 300105 308610 310536 313690 318708 320112 325755 336414 345040 345948 347472 349353 354120 356616 367740 369360 374777 376428 388170 390906 396240 398385 400140 401193 411480 424944 432435 434340 441288 445770 448552 461264 465804 470535 478062 480168 490320 493776 501904 504621 517560 518922 521208 531180 533520 534924 547751 551610 560690 564642 576580 579120 582255 586359 594360 600210 617220 621072 627380 637416 651510 668655 672828 691896 698706 708240 713232 717093 735480 749554 752856 776340 778383 781812 796770 800280 802386 822960 841035 846963 864870 868680 882576 891540 897104 931608 941070 956124 960336 977265 1009242 1035120 1037844 1042416 1048059 1062360 1069848 1095502 1103220 1121380 1124331 1129284 1153160 1164510 1172718 1188720 1195155 1200420 1234440 1254760 1274832 1297305 1303020 1337310 1345656 1383792 1397412 1411605 1434186 1470960 1499108 1505712 1513863 1552680 1556766 1563624 1593540 1600560 1604772 1643253 1682070 1693926 1729740 1737360 1746765 1783080 1863216 1873885 1882140 1912248 1954530 2005965 2018484 2075688 2096118 2124720 2139696 2191004 2206440 2242760 2248662 2258568 2306320 2329020 2335149 2345436 2390310 2400840 2468880 2509520 2523105 2540889 2594610 2606040 2674620 2691312 2738755 2794824 2823210 2868372 2931795 2998216 3027726 3105360 3113532 3127248 3187080 3209544 3286506 3364140 3372993 3387852 3459480 3493530 3566160 3585465 3747770 3764280 3824496 3891915 3909060 4011930 4036968 4151376 4192236 4234815 4382008 4412880 4485520 4497324 4517136 4541589 4658040 4670298 4690872 4780620 4801680 4929759 5046210 5081778 5189220 5212080 5240295 5349240 5477510 5589648 5621655 5646420 5736744 5863590 5996432 6055452 6227064 6374160 6419088 6573012 6728280 6745986 6775704 6918960 6987060 7005447 7120763 7170930 7495540 7528560 7569315 7622667 7783830 7818120 8023860 8073936 8216265 8384472 8469630 8764016 8994648 9083178 9316080 9340596 9381744 9561240 9859518 10092420 10118979 10163556 10378440 10480590 10698480 10955020 11243310 11292840 11473488 11675745 11727180 12110904 12454128 12704445 13146024 13456560 13491972 13551408 13624767 13974120 14010894 14241526 14341860 14789277 14991080 15138630 15245334 15567660 15636240 16047720 16432530 16768944 16864965 16939260 17989296 18166356 18681192 19122480 19719036 20184840 20237958 20327112 20756880 20961180 21362289 21910040 22486620 22585680 22707945 23351490 23454360 24221808 24648795 25408890 26292048 26983944 27249534 27948240 28021788 28483052 28683720 29578554 29982160 30277260 30356937 30490668 31135320 32095440 32865060 33729930 33878520 35027235 35603815 36332712 37362384 38113335 39438072 40369680 40475916 40654224 41922360 42724578 43820080 44367831 44973240 45415890 46702980 46908720 49297590 50594895 50817780 53967888 54499068 56043576 56966104 57367440 59157108 60554520 60713874 60981336 62270640 64086867 65730120 67459860 67757040 68123835 70054470 71207630 72665424 73946385 76226670 78876144 80951832 83844720 85449156 88735662 89946480 90831780 91070811 93405960 98595180 101189790 101635560 106811445 108998136 112087152 113932208 118314216 121109040 121427748 121962672 128173734 131460240 133103493 134919720 136247670 140108940 142415260 147892770 151784685 152453340 161903664 170898312 177471324 181663560 182141622 186811920 192260601 197190360 202379580 203271120 213622890 217996272 221839155 236628432 242855496 256347468 266206986 269839440 272495340 280217880 284830520 295785540 303569370 304906680 320434335 341796624 354942648 363327120 364283244 384521202 394380720 404759160 427245780 443678310 455354055 485710992 512694936 532413972 544990680 560435760 569661040 576781803 591571080 607138740 609813360 640868670 665517465 709885296 728566488 769042404 809518320 854491560 887356620 910708110 961303005 1025389872 1064827944 1089981360 1153563606 1183142160 1214277480 1281737340 1331034930 1457132976 1538084808 1708983120 1730345409 1774713240 1821416220 1922606010 2129655888 2307127212 2428554960 2563474680 2662069860 2883909015 3076169616 3460690818 3549426480 3642832440 3845212020 4614254424 5126949360 5324139720 5767818030 6921381636 7285664880 7690424040 8651727045 9228508848 10648279440 11535636060 13842763272 15380848080 17303454090 23071272120 27685526544 34606908180 46142544240 69213816360 138427632720
- Sum of all divisors σ(n): 553244590080
- Sum of proper divisors (its aliquot sum) s(n): 414816957360
- 138427632720 is an abundant number, because the sum of its proper divisors (414816957360) is greater than itself. Its abundance is 276389324640
Bases of 138427632720
- Binary: 100000001110101110111000001100010100002
- Hexadecimal: 0x203AEE0C50
- Base-36: 1RLC8L00
Squares and roots of 138427632720
- 138427632720 squared (1384276327202) is 19162209500463214598400
- 138427632720 cubed (1384276327203) is 2652579298833816540297857499648000
-
The
square root of 138427632720 is 372058.6415069539 -
The
cube root of 138427632720 is 5172.9815644467
Scales and comparisons
How big is 138427632720?- 138,427,632,720 seconds is equal to 4,401 years, 29 weeks, 4 days, 16 hours, 12 minutes.
-
To count from 1 to 138,427,632,720 would take you about eight thousand, eight hundred 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 138427632720 cubic inches would be around 431.1 feet tall.
Recreational maths with 138427632720
- 138427632720 backwards is 027236724831
- 138427632720 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138427632720's digits is 45
- More coming soon!
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The information we have on file for 138427632720 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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