138717643680
138,717,643,680 is an even composite number composed of seven prime numbers multiplied together.
138717643680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138717643680:
25 × 32 × 5 × 72 × 11 × 313 × 571
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 11 × 313 × 571)See below for interesting mathematical facts about the number 138717643680 from the Numbermatics database.
Names of 138717643680
- Cardinal: 138717643680 can be written as One hundred thirty-eight billion, seven hundred seventeen million, six hundred forty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3871764368 × 1011
Factors of 138717643680
Divisors of 138717643680
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 49 55 56 60 63 66 70 72 77 80 84 88 90 96 98 99 105 110 112 120 126 132 140 144 147 154 160 165 168 176 180 196 198 210 220 224 231 240 245 252 264 280 288 294 308 313 315 330 336 352 360 385 392 396 420 440 441 462 480 490 495 504 528 539 560 571 588 616 626 630 660 672 693 720 735 770 784 792 840 880 882 924 939 980 990 1008 1056 1078 1120 1142 1155 1176 1232 1252 1260 1320 1386 1440 1470 1540 1565 1568 1584 1617 1680 1713 1760 1764 1848 1878 1960 1980 2016 2156 2191 2205 2284 2310 2352 2464 2504 2520 2640 2695 2772 2817 2855 2940 3080 3130 3168 3234 3360 3426 3443 3465 3528 3696 3756 3920 3960 3997 4312 4382 4410 4568 4620 4695 4704 4851 5008 5040 5139 5280 5390 5544 5634 5710 5880 6160 6260 6281 6468 6573 6852 6886 6930 7056 7392 7512 7840 7920 7994 8085 8565 8624 8764 8820 9136 9240 9390 9702 10016 10080 10278 10329 10780 10955 11088 11268 11420 11760 11991 12320 12520 12562 12936 13146 13704 13772 13860 14085 14112 15024 15337 15840 15988 16170 17130 17215 17248 17528 17640 18272 18480 18780 18843 19404 19719 19985 20556 20658 21560 21910 22176 22536 22840 23520 23982 24101 24255 25040 25124 25695 25872 26292 27408 27544 27720 27979 28170 30048 30674 30987 31405 31976 32340 32865 34260 34430 35056 35280 35973 36960 37560 37686 38808 39438 39970 41112 41316 43120 43820 43967 45072 45680 46011 47964 48202 48510 50080 50248 51390 51645 51744 52584 54816 55088 55440 55958 56340 56529 59955 61348 61974 62810 63952 64680 65730 68520 68860 70112 70560 71946 72303 75120 75372 76685 77616 78876 79940 82224 82632 83937 86240 87640 87934 90144 91360 92022 94215 95928 96404 97020 98595 100496 102780 103290 105168 110176 110880 111916 112680 113058 119910 120505 122696 123948 125620 127904 129360 131460 131901 137040 137720 138033 139895 143892 144606 150240 150744 153370 154935 155232 157752 159880 164448 165264 167874 168707 175280 175868 178723 179865 184044 188430 191856 192808 194040 197190 200992 205560 206580 210336 216909 219835 223832 225360 226116 230055 239820 241010 245392 247896 251240 251811 258720 262920 263802 274080 275440 276066 279790 282645 287784 289212 301488 306740 307769 309870 315504 319760 330528 335748 337414 350560 351736 357446 359730 361515 368088 376860 383712 385616 388080 394380 395703 411120 413160 419685 433818 439670 447664 450720 452232 460110 479640 482020 490784 495792 502480 503622 506121 525840 527604 536169 550880 552132 559580 565290 575568 578424 602976 613480 615538 619740 631008 639520 659505 671496 674828 690165 703472 714892 719460 723030 736176 753720 771232 776160 788760 791406 822240 826320 839370 843535 867636 879340 893615 895328 904464 920220 923307 959280 964040 991584 1004960 1007244 1012242 1051680 1055208 1072338 1084545 1104264 1119160 1130580 1151136 1156848 1226960 1231076 1239480 1251061 1259055 1319010 1342992 1349656 1380330 1406944 1429784 1438920 1446060 1472352 1507440 1518363 1538845 1577520 1582812 1608507 1652640 1678740 1687070 1735272 1758680 1787230 1808928 1840440 1846614 1918560 1928080 1965953 1978515 2014488 2024484 2110416 2144676 2169090 2208528 2238320 2261160 2313696 2453920 2462152 2478960 2502122 2518110 2530605 2638020 2680845 2685984 2699312 2760660 2769921 2859568 2877840 2892120 3014880 3036726 3077690 3155040 3165624 3217014 3357480 3374140 3470544 3517360 3574460 3680880 3693228 3753183 3856160 3931906 3957030 4028976 4048968 4220832 4289352 4338180 4417056 4476640 4522320 4616535 4924304 4957920 5004244 5036220 5061210 5276040 5361690 5398624 5521320 5539842 5719136 5755680 5784240 5897859 6073452 6155380 6255305 6331248 6434028 6714960 6748280 6941088 7034720 7148920 7361760 7386456 7506366 7591815 7863812 7914060 8042535 8057952 8097936 8578704 8676360 8757427 9044640 9233070 9829765 9848608 10008488 10072440 10122420 10552080 10723380 11042640 11079684 11259549 11568480 11795718 12146904 12310760 12510610 12662496 12868056 13429920 13496560 13761671 13849605 14297840 14772912 15012732 15183630 15727624 15828120 16085070 16195872 17157408 17352720 17514854 17693577 18466140 18765915 19659530 20016976 20144880 20244840 21104160 21446760 22085280 22159368 22519098 23591436 24293808 24621520 25021220 25736112 26272281 26993120 27523342 27699210 28595680 29489295 29545824 30025464 30367260 31455248 31656240 32170140 34705440 35029708 35387154 36932280 37531830 39319060 40033952 40289760 40489680 41285013 42893520 43787135 44318736 45038196 47182872 48587616 49243040 50042440 51472224 52544562 55046684 55398420 56297745 58978590 60050928 60734520 62910496 63312480 64340280 68808355 70059416 70774308 73864560 75063660 78638120 78816843 80979360 82570026 85787040 87574270 88467885 88637472 90076392 94365744 96331697 100084880 105089124 110093368 110796840 112595490 117957180 120101856 121469040 123855039 128680560 131361405 137616710 140118832 141548616 147729120 150127320 157276240 157633686 165140052 175148540 176935770 180152784 188731488 192663394 200169760 206425065 210178248 220186736 221593680 225190980 235914360 242938080 247710078 257361120 262722810 275233420 280237664 283097232 288995091 300254640 314552480 315267372 330280104 350297080 353871540 360305568 385326788 394084215 412850130 420356496 440373472 443187360 450381960 471828720 481658485 495420156 525445620 550466840 566194464 577990182 600509280 619275195 630534744 660560208 700594160 707743080 770653576 788168430 825700260 840712992 866985273 900763920 943657440 963316970 990840312 1050891240 1100933680 1155980364 1238550390 1261069488 1321120416 1401188320 1415486160 1444975455 1541307152 1576336860 1651400520 1733970546 1801527840 1926633940 1981680624 2101782480 2201867360 2311960728 2477100780 2522138976 2830972320 2889950910 3082614304 3152673720 3302801040 3467941092 3853267880 3963361248 4203564960 4334926365 4623921456 4954201560 5779901820 6305347440 6605602080 6935882184 7706535760 8669852730 9247842912 9908403120 11559803640 12610694880 13871764368 15413071520 17339705460 19816806240 23119607280 27743528736 34679410920 46239214560 69358821840 138717643680
- Sum of all divisors σ(n): 603694099008
- Sum of proper divisors (its aliquot sum) s(n): 464976455328
- 138717643680 is an abundant number, because the sum of its proper divisors (464976455328) is greater than itself. Its abundance is 326258811648
Bases of 138717643680
- Binary: 100000010011000011011101000011101000002
- Hexadecimal: 0x204C3743A0
- Base-36: 1RQ4WIW0
Squares and roots of 138717643680
- 138717643680 squared (1387176436802) is 19242584668131443942400
- 138717643680 cubed (1387176436803) is 2669286003476088692205737644032000
-
The
square root of 138717643680 is 372448.1758312155 -
The
cube root of 138717643680 is 5176.5915731929
Scales and comparisons
How big is 138717643680?- 138,717,643,680 seconds is equal to 4,410 years, 41 weeks, 1 day, 6 hours, 48 minutes.
-
To count from 1 to 138,717,643,680 would take you about eight thousand, eight hundred twenty-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 138717643680 cubic inches would be around 431.4 feet tall.
Recreational maths with 138717643680
- 138717643680 backwards is 086346717831
- The number of decimal digits it has is: 12
- The sum of 138717643680's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138717643680 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 138717643680 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138717643680/
Chicago style:
Numbermatics. 2024. "Number 138717643680 - Facts about the integer". https://numbermatics.com/n/138717643680/
The information we have on file for 138717643680 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!
Keywords: Divisors of 138717643680, math, Factors of 138717643680, curriculum, school, college, exams, university, Prime factorization of 138717643680, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, seven hundred seventeen million, six hundred forty-three thousand, six hundred eighty.