138481308834708915320
138,481,308,834,708,915,320 is an even composite number composed of six prime numbers multiplied together.
138481308834708915320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138481308834708915320:
23 × 5 × 72 × 195 × 412 × 2573
(2 × 2 × 2 × 5 × 7 × 7 × 19 × 19 × 19 × 19 × 19 × 41 × 41 × 257 × 257 × 257)See below for interesting mathematical facts about the number 138481308834708915320 from the Numbermatics database.
Names of 138481308834708915320
- Cardinal: 138481308834708915320 can be written as One hundred thirty-eight quintillion, four hundred eighty-one quadrillion, three hundred eight trillion, eight hundred thirty-four billion, seven hundred eight million, nine hundred fifteen thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3848130883470891532 × 1020
Factors of 138481308834708915320
Divisors of 138481308834708915320
- Number of divisors d(n): 1728
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Complete list of divisors:
1 2 4 5 7 8 10 14 19 20 28 35 38 40 41 49 56 70 76 82 95 98 133 140 152 164 190 196 205 245 257 266 280 287 328 361 380 392 410 490 514 532 574 665 722 760 779 820 931 980 1028 1064 1148 1285 1330 1435 1444 1558 1640 1681 1799 1805 1862 1960 2009 2056 2296 2527 2570 2660 2870 2888 3116 3362 3598 3610 3724 3895 4018 4655 4883 5054 5140 5320 5453 5740 6232 6724 6859 7196 7220 7448 7790 8036 8405 8995 9310 9766 10045 10108 10280 10537 10906 11480 11767 12593 12635 13448 13718 14392 14440 14801 15580 16072 16810 17689 17990 18620 19532 20090 20216 21074 21812 23534 24415 25186 25270 27265 27436 29602 31160 31939 33620 34181 34295 35378 35980 37240 38171 39064 40180 42148 43624 47068 48013 48830 50372 50540 52685 54530 54872 58835 59204 62965 63878 66049 67240 68362 68590 70756 71960 73759 74005 76342 80360 82369 84296 88445 92777 94136 96026 97660 100744 101080 103607 105370 109060 117670 118408 125930 127756 130321 132098 136724 137180 141512 147518 148010 152684 159695 164738 170905 176890 185554 190855 192052 195320 200203 207214 210740 218120 223573 235340 239267 240065 251860 255512 260642 264196 273448 274360 281219 295036 296020 305368 319390 329476 330245 336091 341810 353780 368795 371108 381710 384104 400406 411845 414428 421480 432017 447146 462343 463885 470680 478534 480130 503720 516313 518035 521284 528392 562438 590072 592040 606841 638780 649439 651605 658952 660490 672182 683620 707560 725249 737590 742216 763420 800812 823690 828856 864034 894292 912247 924686 927770 957068 960260 1001015 1032626 1036070 1042568 1117865 1124876 1196335 1213682 1254931 1277560 1298878 1303210 1320980 1344364 1367240 1401421 1406095 1450498 1475180 1526840 1565011 1601624 1647380 1680455 1728068 1762763 1788584 1824494 1849372 1855540 1914136 1920520 1968533 2002030 2065252 2072140 2160085 2235730 2249752 2311715 2392670 2427364 2476099 2509862 2581565 2597756 2606420 2641960 2688728 2708009 2802842 2812190 2900996 2950360 3024119 3034205 3130022 3236401 3247195 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9590118340353803 9622103170838585 10094861410898740 10297539324413215 10960135246118632 10996689338101240 11768616370757960 12062831780026909 12697717663186220 13142384818706360 13470944439174019 13700169057648290 13786093462887896 14179941514920020 14874469262589572 15395365073341736 16476062919061144 17232616828609870 17776804728460708 18593086578236965 19180236680707606 19244206341677170 20189722821797480 20595078648826430 22221005910575885 24125663560053818 25395435326372440 26030321209531751 26941888878348038 27400338115296580 28359883029840040 29748938525179144 34465233657219740 35553609456921416 37186173156473930 38360473361415212 38488412683354340 41190157297652860 44442011821151770 47950591701769015 48251327120107636 52060642419063502 53883777756696076 54800676230593160 60314158900134545 67354722195870095 68930467314439480 70653728997300467 74372346312947860 76720946722830424 76976825366708680 82380314595305720 84439822460188363 88884023642303540 95901183403538030 96502654240215272 104121284838127004 107767555513392152 120628317800269090 130151606047658755 134709444391740190 141307457994600934 148744692625895720 168879644920376726 177768047284607080 182212248466722257 191802366807076060 208242569676254008 241256635600538180 260303212095317510 269418888783480380 282614915989201868 337759289840753452 353268644986502335 364424496933444514 383604733614152120 422199112300941815 482513271201076360 494576102981103269 520606424190635020 538837777566960760 565229831978403736 675518579681506904 706537289973004670 728848993866889028 844398224601883630 911061242333611285 989152205962206538 1041212848381270040 1413074579946009340 1457697987733778056 1688796449203767260 1822122484667222570 1978304411924413076 2472880514905516345 2826149159892018680 3377592898407534520 3462032720867722883 3644244969334445140 3956608823848826152 4945761029811032690 6924065441735445766 7288489938668890280 9891522059622065380 13848130883470891532 17310163604338614415 19783044119244130760 27696261766941783064 34620327208677228830 69240654417354457660 138481308834708915320
- Sum of all divisors σ(n): 393680824745079060000
- Sum of proper divisors (its aliquot sum) s(n): 255199515910370144680
- 138481308834708915320 is an abundant number, because the sum of its proper divisors (255199515910370144680) is greater than itself. Its abundance is 116718207075661229360
Bases of 138481308834708915320
- Binary: 11110000001110100000111000010101110000000111111110100000100011110002
- Hexadecimal: 0x781D070AE03FD0478
- Base-36: T846F11WBEG6W
Squares and roots of 138481308834708915320
- 138481308834708915320 squared (1384813088347089153202) is 19177072896574029482288650434690930702400
- 138481308834708915320 cubed (1384813088347089153203) is 2655666154336194038049773838993629214893224005241589720768000
-
The
square root of 138481308834708915320 is 11767808157.6268447987 -
The
cube root of 138481308834708915320 is 5173650.0958793299
Scales and comparisons
How big is 138481308834708915320?- 138,481,308,834,708,915,320 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,481,308,834,708,915,320 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138481308834708915320 cubic inches would be around 431137.5 feet tall.
Recreational maths with 138481308834708915320
- 138481308834708915320 backwards is 023519807438803184831
- The number of decimal digits it has is: 21
- The sum of 138481308834708915320's digits is 86
- More coming soon!
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"Number 138481308834708915320 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138481308834708915320 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138481308834708915320/
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Numbermatics. 2024. "Number 138481308834708915320 - Facts about the integer". https://numbermatics.com/n/138481308834708915320/
The information we have on file for 138481308834708915320 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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