138030516000
138,030,516,000 is an even composite number composed of six prime numbers multiplied together.
138030516000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138030516000:
25 × 32 × 53 × 13 × 193 × 43
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 19 × 19 × 19 × 43)See below for interesting mathematical facts about the number 138030516000 from the Numbermatics database.
Names of 138030516000
- Cardinal: 138030516000 can be written as One hundred thirty-eight billion, thirty million, five hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38030516 × 1011
Factors of 138030516000
Divisors of 138030516000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 30 32 36 38 39 40 43 45 48 50 52 57 60 65 72 75 76 78 80 86 90 95 96 100 104 114 117 120 125 129 130 144 150 152 156 160 171 172 180 190 195 200 208 215 225 228 234 240 247 250 258 260 285 288 300 304 312 325 342 344 360 361 375 380 387 390 400 416 430 450 456 468 475 480 494 500 516 520 559 570 585 600 608 624 645 650 684 688 720 722 741 750 760 774 780 800 817 855 860 900 912 936 950 975 988 1000 1032 1040 1075 1083 1118 1125 1140 1170 1200 1235 1248 1290 1300 1368 1376 1425 1440 1444 1482 1500 1520 1548 1560 1625 1634 1677 1710 1720 1800 1805 1824 1872 1900 1935 1950 1976 2000 2064 2080 2150 2166 2223 2236 2250 2280 2340 2375 2400 2451 2470 2580 2600 2736 2795 2850 2888 2925 2964 3000 3040 3096 3120 3225 3249 3250 3268 3354 3420 3440 3600 3610 3705 3744 3800 3870 3900 3952 4000 4085 4128 4275 4300 4332 4446 4472 4500 4560 4680 4693 4750 4875 4902 4940 5031 5160 5200 5375 5415 5472 5590 5700 5776 5850 5928 6000 6175 6192 6240 6450 6498 6500 6536 6708 6840 6859 6880 7125 7200 7220 7353 7410 7600 7740 7800 7904 8170 8385 8550 8600 8664 8892 8944 9000 9025 9120 9360 9386 9500 9675 9750 9804 9880 10062 10320 10400 10621 10750 10830 11115 11180 11400 11552 11700 11856 12000 12255 12350 12384 12900 12996 13000 13072 13416 13680 13718 13975 14079 14250 14440 14625 14706 14820 15200 15480 15523 15600 16125 16245 16340 16770 17100 17200 17328 17784 17888 18000 18050 18525 18720 18772 19000 19350 19500 19608 19760 20124 20425 20577 20640 21242 21375 21500 21660 22230 22360 22800 23400 23465 23712 24510 24700 25155 25800 25992 26000 26144 26832 27075 27360 27436 27950 28158 28500 28880 29250 29412 29640 30875 30960 31046 31200 31863 32250 32490 32680 33540 34200 34295 34400 34656 35568 36000 36100 36765 37050 37544 38000 38700 39000 39216 39520 40248 40850 41154 41925 42237 42484 42750 43000 43320 44460 44720 45125 45600 46569 46800 46930 48375 49020 49400 50310 51600 51984 52000 53105 53664 54150 54872 55575 55900 56316 57000 57760 58500 58824 59280 61275 61731 61750 61920 62092 63726 64500 64980 65360 67080 68400 68590 69875 70395 71136 72200 73530 74100 75088 76000 77400 77615 78000 78432 80496 81225 81700 82308 83850 84474 84968 85500 86000 86640 88920 89167 89440 90250 92625 93138 93600 93860 95589 96750 98040 98800 100620 102125 102885 103200 103968 106210 108300 109744 111150 111800 112632 114000 117000 117325 117648 118560 122550 123462 123500 124184 125775 127452 129000 129960 130720 134160 135375 136800 137180 139707 139750 140790 144400 147060 148200 150176 154800 155230 156000 159315 160992 162450 163400 164616 167700 168948 169936 171000 171475 172000 173280 177840 178334 180500 183825 185250 186276 187720 191178 193500 196080 197600 201240 201799 204250 205770 209625 211185 212420 216600 219488 222300 223600 225264 228000 232845 234000 234650 235296 245100 246924 247000 248368 251550 254904 258000 259920 265525 267501 268320 270750 274360 277875 279414 279500 281580 288800 294120 294937 296400 306375 308655 309600 310460 318630 324900 326800 329232 335400 337896 339872 342000 342950 351975 355680 356668 361000 367650 370500 372552 375440 382356 387000 388075 392160 402480 403598 406125 408500 411540 419250 422370 424840 433200 444600 445835 447200 450528 465690 468000 469300 477945 490200 493848 494000 496736 503100 509808 514425 516000 519840 531050 535002 541500 548720 555750 558828 559000 563160 586625 588240 589874 592800 605397 612750 617310 620920 628875 637260 649800 653600 658464 670800 675792 684000 685900 698535 703950 713336 722000 735300 741000 745104 750880 764712 774000 776150 796575 802503 804960 807196 812250 817000 823080 838500 844740 849680 857375 866400 884811 889200 891670 919125 931380 938600 955890 980400 987696 988000 1006200 1008995 1019616 1028850 1055925 1062100 1070004 1083000 1097440 1111500 1117656 1118000 1126320 1164225 1173250 1176480 1179748 1210794 1225500 1234620 1241840 1257750 1274520 1299600 1327625 1337505 1341600 1351584 1371800 1397070 1407900 1426672 1444000 1470600 1474685 1482000 1490208 1529424 1543275 1548000 1552300 1593150 1605006 1614392 1624500 1634000 1646160 1677000 1689480 1699360 1714750 1759875 1769622 1778400 1783340 1816191 1838250 1862760 1877200 1911780 1940375 1960800 1975392 2012400 2017990 2057700 2111850 2124200 2140008 2166000 2223000 2229175 2235312 2236000 2252640 2328450 2346500 2359496 2389725 2421588 2451000 2469240 2483680 2515500 2549040 2572125 2599200 2654433 2655250 2675010 2743600 2794140 2815800 2853344 2941200 2949370 2964000 3026985 3058848 3086550 3104600 3186300 3210012 3228784 3249000 3268000 3292320 3354000 3378960 3429500 3492675 3519750 3539244 3566680 3632382 3676500 3725520 3754400 3823560 3834181 3880750 3982875 4012515 4024800 4035980 4115400 4223700 4248400 4280016 4332000 4424055 4446000 4458350 4470624 4656900 4693000 4718992 4779450 4843176 4902000 4938480 5031000 5044975 5098080 5144250 5279625 5308866 5310500 5350020 5487200 5588280 5631600 5821125 5882400 5898740 6053970 6173100 6209200 6372600 6420024 6457568 6498000 6687525 6708000 6757920 6859000 6985350 7039500 7078488 7133360 7264764 7353000 7373425 7451040 7647120 7668362 7716375 7761500 7965750 8025030 8071960 8230800 8447400 8496800 8560032 8848110 8892000 8916700 9080955 9313800 9386000 9437984 9558900 9686352 9804000 9876960 10062000 10089950 10288500 10559250 10617732 10621000 10700040 11145875 11176560 11263200 11502543 11642250 11797480 11948625 12107940 12346200 12418400 12745200 12840048 12996000 13272165 13375050 13718000 13970700 14079000 14156976 14266720 14529528 14706000 14746850 15134925 15294240 15336724 15432750 15523000 15931500 16050060 16143920 16461600 16894800 17463375 17696220 17833400 18161910 18627600 18772000 19117800 19170905 19372704 20062575 20124000 20179900 20577000 21118500 21235464 21242000 21400080 22120275 22291750 22353120 23005086 23284500 23594960 23897250 24215880 24692400 25224875 25490400 25680096 26544330 26750100 27436000 27941400 28158000 28313952 29059056 29412000 29493700 30269850 30673448 30865500 31046000 31863000 32100120 32287840 33437625 33789600 34507629 34926750 35392440 35666800 36323820 36867125 37255200 38235600 38341810 40125150 40359800 41154000 42237000 42470928 42484000 42800160 44240550 44583500 45404775 46010172 46569000 47189920 47794500 48431760 49384800 50449750 53088660 53500200 55882800 56316000 57512715 58118112 58987400 60539700 61346896 61731000 62092000 63726000 64200240 66360825 66875250 69015258 69853500 70784880 71333600 72647640 73734250 75674625 76471200 76683620 80250300 80719600 82308000 84474000 84941856 88481100 89167000 90809550 92020344 93138000 95589000 95854525 96863520 100312875 100899500 106177320 107000400 110601375 111765600 115025430 117974800 121079400 122693792 123462000 127452000 128400480 132721650 133750500 138030516 139707000 141569760 145295280 147468500 151349250 153367240 160500600 161439200 168948000 172538145 176962200 178334000 181619100 184040688 186276000 191178000 191709050 200625750 201799000 212354640 214000800 221202750 227023875 230050860 235949600 242158800 246924000 265443300 267501000 276061032 279414000 287563575 290590560 294937000 302698500 306734480 321001200 331804125 345076290 353924400 356668000 363238200 368081376 382356000 383418100 401251500 403598000 424709280 442405500 454047750 460101720 479272625 484317600 530886600 535002000 552122064 558828000 575127150 589874000 605397000 613468960 642002400 663608250 690152580 707848800 726476400 766836200 802503000 807196000 862690725 884811000 908095500 920203440 958545250 1061773200 1070004000 1104244128 1150254300 1179748000 1210794000 1327216500 1380305160 1437817875 1452952800 1533672400 1605006000 1725381450 1769622000 1816191000 1840406880 1917090500 2123546400 2300508600 2421588000 2654433000 2760610320 2875635750 3067344800 3210012000 3450762900 3539244000 3632382000 3834181000 4313453625 4601017200 5308866000 5521220640 5751271500 6901525800 7264764000 7668362000 8626907250 9202034400 10617732000 11502543000 13803051600 15336724000 17253814500 23005086000 27606103200 34507629000 46010172000 69015258000 138030516000
- Sum of all divisors σ(n): 569806997760
- Sum of proper divisors (its aliquot sum) s(n): 431776481760
- 138030516000 is an abundant number, because the sum of its proper divisors (431776481760) is greater than itself. Its abundance is 293745965760
Bases of 138030516000
- Binary: 100000001000110100001010000111001000002
- Hexadecimal: 0x2023428720
- Base-36: 1RERSZS0
Squares and roots of 138030516000
- 138030516000 squared (1380305160002) is 19052423347226256000000
- 138030516000 cubed (1380305160003) is 2629815825668087284428096000000000
-
The
square root of 138030516000 is 371524.5833050621 -
The
cube root of 138030516000 is 5168.0301324657
Scales and comparisons
How big is 138030516000?- 138,030,516,000 seconds is equal to 4,388 years, 49 weeks, 10 hours.
-
To count from 1 to 138,030,516,000 would take you about eight thousand, seven hundred seventy-seven 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 138030516000 cubic inches would be around 430.7 feet tall.
Recreational maths with 138030516000
- 138030516000 backwards is 000615030831
- The number of decimal digits it has is: 12
- The sum of 138030516000's digits is 27
- 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 138030516000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 138030516000 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/138030516000/
Chicago style:
Numbermatics. 2024. "Number 138030516000 - Facts about the integer". https://numbermatics.com/n/138030516000/
The information we have on file for 138030516000 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 138030516000, math, Factors of 138030516000, curriculum, school, college, exams, university, Prime factorization of 138030516000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, thirty million, five hundred sixteen thousand.