138463227448000
138,463,227,448,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138463227448000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
138463227448000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138463227448000:
26 × 53 × 72 × 13 × 83 × 113 × 2897
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 83 × 113 × 2897)See below for interesting mathematical facts about the number 138463227448000 from the Numbermatics database.
Names of 138463227448000
- Cardinal: 138463227448000 can be written as One hundred thirty-eight trillion, four hundred sixty-three billion, two hundred twenty-seven million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38463227448 × 1014
Factors of 138463227448000
Divisors of 138463227448000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 83 91 98 100 104 112 113 125 130 140 160 166 175 182 196 200 208 224 226 245 250 260 280 320 325 332 350 364 392 400 415 416 448 452 455 490 500 520 560 565 581 637 650 664 700 728 784 791 800 830 832 875 904 910 980 1000 1040 1079 1120 1130 1162 1225 1274 1300 1328 1400 1456 1469 1568 1582 1600 1625 1660 1750 1808 1820 1960 2000 2075 2080 2158 2240 2260 2275 2324 2450 2548 2600 2656 2800 2825 2897 2905 2912 2938 3136 3164 3185 3250 3320 3500 3616 3640 3920 3955 4000 4067 4150 4160 4316 4520 4550 4648 4900 5096 5200 5312 5395 5537 5600 5650 5794 5810 5824 5876 6125 6328 6370 6500 6640 7000 7232 7280 7345 7553 7840 7910 8000 8134 8300 8632 9040 9100 9296 9379 9800 10192 10283 10375 10400 10790 11074 11200 11300 11375 11588 11620 11752 12250 12656 12740 13000 13280 14000 14125 14485 14525 14560 14690 15106 15680 15820 15925 16268 16600 17264 18080 18200 18592 18758 19600 19775 20279 20335 20384 20566 20750 20800 21580 22148 22600 22750 23176 23240 23504 24500 25312 25480 26000 26560 26975 27685 28000 28250 28970 29050 29120 29380 30212 31640 31850 32536 33200 34528 36160 36400 36725 37184 37516 37661 37765 39200 39550 40558 40670 40768 41132 41500 43160 44296 45200 45500 46352 46480 46895 47008 49000 50624 50960 51415 52000 52871 53950 55370 56000 56500 57940 58100 58760 60424 63280 63700 65072 65653 66400 69056 71981 72425 72625 72800 73450 75032 75322 75530 78400 79100 79625 81116 81340 82264 83000 86320 88592 90400 91000 92704 92960 93790 94016 98000 98875 101395 101675 101920 102830 104000 105742 107900 110740 113000 115880 116200 117520 120848 121927 126560 127400 130144 131306 132800 134875 138425 141953 143962 144850 145250 145600 146900 150064 150644 151060 158200 159250 162232 162680 164528 166000 172640 177184 180800 182000 183625 185408 185920 187580 188305 188825 196000 197750 202790 203350 203840 205660 211484 215800 221480 226000 231760 232400 234475 235040 240451 241696 243854 253120 254800 257075 260288 262612 263627 264355 269750 276850 283906 287924 289700 290500 293800 300128 301288 302120 316400 318500 324464 325360 327361 328265 329056 332000 345280 354368 359905 362125 364000 367250 375160 376610 377650 392000 395500 405580 406700 411320 422968 431600 442960 452000 459571 463520 464800 468950 470080 480902 483392 487708 506975 508375 509600 514150 525224 527254 528710 539500 553700 567812 575848 579400 581000 587600 600256 602576 604240 609635 632800 637000 648928 650720 654722 656530 658112 664000 692125 709765 719810 724250 728000 734500 750320 753220 755300 791000 811160 813400 822640 845936 853489 863200 885920 904000 919142 927040 929600 937900 941525 944125 961804 975416 1013950 1016750 1019200 1028300 1050448 1054508 1057420 1079000 1107400 1135624 1151696 1158800 1162000 1172375 1175200 1202255 1205152 1208480 1219270 1265600 1274000 1285375 1297856 1301440 1309444 1313060 1318135 1321775 1384250 1419530 1439620 1448500 1469000 1500640 1506440 1510600 1582000 1622320 1626800 1636805 1641325 1645280 1683157 1691872 1706978 1726400 1771840 1799525 1838284 1845389 1875800 1883050 1888250 1923608 1950832 2027900 2033500 2056600 2100896 2109016 2114840 2158000 2214800 2271248 2291527 2297855 2303392 2317600 2324000 2344750 2350400 2404510 2410304 2416960 2438540 2534875 2548000 2570750 2618888 2626120 2636270 2643550 2768500 2839060 2879240 2897000 2938000 3001280 3012880 3021200 3048175 3125863 3164000 3244640 3253600 3273610 3282650 3290560 3366314 3383744 3413956 3548825 3599050 3676568 3690778 3751600 3766100 3776500 3847216 3901664 4055800 4067000 4113200 4201792 4218032 4229680 4255693 4267445 4316000 4429600 4542496 4583054 4595710 4606784 4635200 4648000 4689500 4707625 4809020 4877080 5069750 5096000 5141500 5237776 5252240 5272540 5287100 5537000 5678120 5758480 5794000 5876000 5974423 6011275 6025760 6042400 6096350 6251726 6328000 6489280 6507200 6547220 6565300 6590675 6608875 6732628 6827912 7097650 7198100 7353136 7381556 7503200 7532200 7553000 7694432 7803328 8111600 8134000 8184025 8206625 8226400 8415785 8436064 8459360 8511386 8534890 8632000 8859200 8997625 9084992 9166108 9191420 9226945 9379000 9415250 9618040 9754160 10139500 10283000 10475552 10504480 10545080 10574200 11074000 11356240 11457635 11489275 11516960 11588000 11752000 11782099 11948846 12022550 12051520 12084800 12192700 12503452 13094440 13130600 13181350 13217750 13465256 13655824 14195300 14396200 14706272 14763112 15006400 15064400 15106000 15240875 15388864 15629315 16040689 16223200 16268000 16368050 16413250 16452800 16831570 16872128 16918720 17022772 17069780 17744125 17995250 18332216 18382840 18453890 18758000 18830500 19236080 19508320 20279000 20566000 20951104 21008960 21090160 21148400 21278465 21337225 21881041 22148000 22712480 22915270 22978550 23033920 23176000 23564198 23897692 24045100 24385400 25006904 26188880 26261200 26362700 26435500 26930512 27170963 27311648 28390600 28792400 29412544 29526224 29789851 29872115 30056375 30128800 30212000 30481750 31258630 32081378 32446400 32536000 32736100 32826500 32953375 33663140 34045544 34139560 35488250 35990500 36664432 36765680 36907780 37516000 37661000 38472160 39016640 40558000 40920125 41132000 42078925 42180320 42296800 42556930 42674450 43762082 44296000 45424960 45830540 45957100 46134725 47128396 47795384 48090200 48770800 50013808 52377760 52522400 52725400 52871000 53861024 54341926 54623296 56781200 57288175 57446375 57584800 58910495 59052448 59579702 59744230 60112750 60257600 60424000 60963500 62517260 64162756 65472200 65653000 65906750 67326280 68091088 68279120 70976500 71981000 73328864 73531360 73815560 75032000 75322000 76944320 78146575 80203445 81116000 81840250 82264000 84157850 84360640 84593600 85113860 85348900 87524164 91661080 91914200 92269450 94256792 95590768 96180400 97541600 100027616 104755520 105044800 105450800 105742000 106392325 106686125 107722048 108683852 109405205 113562400 114576350 114892750 115169600 117820990 118104896 119159404 119488460 120225500 121927000 125034520 128325512 130944400 131306000 131813500 134652560 135854815 136182176 136558240 141953000 143962000 146657728 147062720 147631120 148949255 149360575 150644000 153167287 156293150 160406890 162232000 163680500 168315700 170227720 170697800 175048328 183322160 183828400 184538900 188513584 190196741 191181536 192360800 195083200 200055232 208528957 210394625 210901600 211484000 212784650 213372250 217367704 218810410 227124800 229152700 229785500 230673625 235641980 238318808 238976920 240451000 243854000 250069040 256651024 261888800 262612000 263627000 269305120 271709630 272364352 273116480 283906000 286440875 287924000 294552475 295262240 297898510 298721150 301288000 306334574 312586300 320813780 327361000 336631400 340455440 341395600 350096656 353222519 366644320 367656800 369077800 377027168 380393482 382363072 384721600 390732875 401017225 417057914 420789250 421803200 422968000 425569300 426744500 434735408 437620820 458305400 459571000 461347250 471283960 476637616 477953840 480902000 487708000 500138080 513302048 523777600 525224000 527254000 531961625 538610240 543419260 547026025 567812000 572881750 575848000 589104950 590524480 595797020 597442300 612669148 625172600 641627560 654722000 673262800 679274075 680910880 682791200 700193312 706445038 733288640 735313600 738155600 744746275 746802875 754054336 760786964 765836435 781465750 802034450 834115828 841578500 851138600 853489000 869470816 875241640 916610800 919142000 922694500 942567920 950983705 953275232 955907680 961804000 975416000 1000276160 1026604096 1042644785 1054508000 1063923250 1086838520 1094052050 1135624000 1145763500 1178209900 1191594040 1194884600 1225338296 1250345200 1283255120 1309444000 1331377187 1346525600 1358548150 1361821760 1365582400 1400386624 1412890076 1472762375 1476311200 1489492550 1493605750 1521573928 1531672870 1562931500 1604068900 1668231656 1683157000 1702277200 1706978000 1738941632 1750483280 1766112595 1833221600 1838284000 1845389000 1885135840 1901967410 1906550464 1911815360 1923608000 2005086125 2085289570 2109016000 2127846500 2173677040 2188104100 2291527000 2356419800 2383188080 2389769200 2450676592 2472557633 2500690400 2566510240 2618888000 2662754374 2693051200 2717096300 2735130125 2825780152 2945524750 2952622400 2978985100 2987211500 3043147856 3063345740 3125863000 3208137800 3336463312 3366314000 3396370375 3404554400 3413956000 3500966560 3532225190 3666443200 3676568000 3690778000 3723731375 3770271680 3803934820 3829182175 4010172250 4170579140 4255693000 4347354080 4376208200 4583054000 4712839600 4754918525 4766376160 4779538400 4901353184 4945115266 5001380800 5133020480 5213223925 5325508748 5434192600 5470260250 5651560304 5891049500 5957970200 5974423000 6086295712 6126691480 6251726000 6416275600 6656885935 6672926624 6732628000 6792740750 6809108800 6827912000 7001933120 7064450380 7381556000 7447462750 7607869640 7658364350 8020344500 8341158280 8511386000 8694708160 8752416400 8830562975 9166108000 9425679200 9509837050 9532752320 9559076800 9802706368 9890230532 10426447850 10651017496 10868385200 10940520500 11303120608 11782099000 11915940400 11948846000 12172591424 12253382960 12362788165 12503452000 12832551200 13313771870 13345853248 13465256000 13585481500 14128900760 14763112000 14894925500 15215739280 15316728700 16040689000 16682316560 17022772000 17307903431 17504832800 17661125950 18332216000 18851358400 19019674100 19145910875 19780461064 20852895700 21302034992 21736770400 21881041000 22606241216 23564198000 23774592625 23831880800 23897692000 24506765920 24725576330 25006904000 25665102400 26066119625 26627543740 27170963000 28257801520 29789851000 30431478560 30633457400 32081378000 33284429675 33364633120 34045544000 34615806862 35009665600 35322251900 38039348200 38291821750 39560922128 41705791400 42604069984 43473540800 43762082000 44152814875 47128396000 47549185250 47663761600 47795384000 49013531840 49451152660 52132239250 53255087480 54341926000 56515603040 59579702000 60862957120 61266914800 61813940825 64162756000 66568859350 66729266240 69231613724 70644503800 76078696400 76583643500 79121844256 83411582800 85208139968 86539517155 87524164000 88305629750 94256792000 95098370500 98902305320 104264478500 106510174960 108683852000 113031206080 119159404000 122533829600 123627881650 128325512000 133137718700 138463227448 141289007600 152157392800 153167287000 158243688512 166422148375 166823165600 173079034310 175048328000 176611259500 190196741000 197804610640 208528957000 213020349920 217367704000 238318808000 245067659200 247255763300 266275437400 276926454896 282578015200 304314785600 306334574000 309069704125 332844296750 333646331200 346158068620 353222519000 380393482000 395609221280 417057914000 426040699840 432697585775 494511526600 532550874800 553852909792 565156030400 612669148000 618139408250 665688593500 692316137240 706445038000 760786964000 791218442560 834115828000 865395171550 989023053200 1065101749600 1107705819584 1225338296000 1236278816500 1331377187000 1384632274480 1412890076000 1521573928000 1668231656000 1730790343100 1978046106400 2130203499200 2163487928875 2472557633000 2662754374000 2769264548960 2825780152000 3461580686200 3956092212800 4326975857750 4945115266000 5325508748000 5538529097920 6923161372400 8653951715500 9890230532000 10651017496000 13846322744800 17307903431000 19780461064000 27692645489600 34615806862000 69231613724000 138463227448000
- Sum of all divisors σ(n): 438746564850048
- Sum of proper divisors (its aliquot sum) s(n): 300283337402048
- 138463227448000 is an abundant number, because the sum of its proper divisors (300283337402048) is greater than itself. Its abundance is 161820109954048
Bases of 138463227448000
- Binary: 111110111101110011110110111110010001010110000002
- Hexadecimal: 0x7DEE7B7C8AC0
- Base-36: 1D2X4MLVWG
Squares and roots of 138463227448000
- 138463227448000 squared (1384632274480002) is 19172065355316580592704000000
- 138463227448000 cubed (1384632274480003) is 2654626045941120634653196601339392000000000
-
The
square root of 138463227448000 is 11767039.8761965619 -
The
cube root of 138463227448000 is 51734.2491304755
Scales and comparisons
How big is 138463227448000?- 138,463,227,448,000 seconds is equal to 4,402,702 years, 17 weeks, 4 days, 26 minutes, 40 seconds.
-
To count from 1 to 138,463,227,448,000 would take you about eleven million, six thousand, seven hundred fifty-five 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 138463227448000 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138463227448000
- 138463227448000 backwards is 000844722364831
- 138463227448000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138463227448000's digits is 52
- 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 138463227448000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 138463227448000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138463227448000/
Chicago style:
Numbermatics. 2024. "Number 138463227448000 - Facts about the integer". https://numbermatics.com/n/138463227448000/
The information we have on file for 138463227448000 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 138463227448000, math, Factors of 138463227448000, curriculum, school, college, exams, university, Prime factorization of 138463227448000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred sixty-three billion, two hundred twenty-seven million, four hundred forty-eight thousand.