138289838508900
138,289,838,508,900 is an even composite number composed of six prime numbers multiplied together.
What does the number 138289838508900 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2025 divisors.
138289838508900 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and twenty-five divisors.
Prime factorization of 138289838508900:
22 × 34 × 52 × 132 × 192 × 234
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 19 × 19 × 23 × 23 × 23 × 23)See below for interesting mathematical facts about the number 138289838508900 from the Numbermatics database.
Names of 138289838508900
- Cardinal: 138289838508900 can be written as One hundred thirty-eight trillion, two hundred eighty-nine billion, eight hundred thirty-eight million, five hundred eight thousand, nine hundred.
Scientific notation
- Scientific notation: 1.382898385089 × 1014
Factors of 138289838508900
Divisors of 138289838508900
- Number of divisors d(n): 2025
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 19 20 23 25 26 27 30 36 38 39 45 46 50 52 54 57 60 65 69 75 76 78 81 90 92 95 100 108 114 115 117 130 135 138 150 156 162 169 171 180 190 195 207 225 228 230 234 247 260 270 276 285 299 300 324 325 338 342 345 351 361 380 390 405 414 437 450 460 468 475 494 507 513 529 540 570 575 585 598 621 650 675 676 684 690 702 722 741 780 810 828 845 855 874 897 900 950 975 988 1014 1026 1035 1053 1058 1083 1140 1150 1170 1196 1235 1242 1300 1311 1350 1380 1404 1425 1444 1482 1495 1521 1539 1587 1620 1690 1710 1725 1748 1755 1794 1805 1863 1900 1950 2025 2028 2052 2070 2106 2116 2166 2185 2223 2300 2340 2470 2484 2535 2565 2622 2645 2691 2700 2850 2925 2964 2990 3042 3078 3105 3174 3211 3249 3380 3420 3450 3510 3588 3610 3705 3726 3887 3900 3933 4050 4140 4212 4225 4275 4332 4370 4446 4485 4563 4693 4761 4940 5070 5130 5175 5244 5265 5290 5382 5415 5681 5700 5850 5980 6084 6156 6175 6210 6348 6422 6498 6555 6669 6877 6900 7020 7220 7410 7452 7475 7605 7695 7774 7866 7935 8073 8100 8303 8450 8550 8740 8775 8892 8970 9025 9126 9315 9386 9522 9633 9747 10051 10140 10260 10350 10530 10580 10764 10830 10925 11115 11362 11661 11700 11799 12167 12350 12420 12675 12825 12844 12996 13110 13225 13338 13455 13689 13754 14079 14283 14820 14950 15210 15390 15525 15548 15732 15870 16055 16146 16245 16606 16900 17043 17100 17550 17940 18050 18252 18525 18630 18772 19044 19266 19435 19494 19665 20007 20102 20631 20700 21060 21660 21850 22230 22425 22724 22815 23322 23465 23598 23805 24219 24334 24700 24909 25350 25650 26220 26325 26450 26676 26910 27075 27378 27508 28158 28405 28566 28899 29241 29900 30153 30420 30780 31050 31740 32110 32292 32490 32775 33212 33345 34086 34385 34983 35100 35397 36100 36501 37050 37260 38025 38475 38532 38870 38988 39330 39675 40014 40204 40365 41262 41515 42237 42849 43700 44460 44850 45630 46575 46644 46930 47196 47610 48165 48438 48668 48735 49818 50255 50700 51129 51300 52650 52900 53820 54150 54756 55575 56316 56810 57132 57798 58305 58482 58995 60306 60835 61009 61893 62100 64220 64980 65550 66690 67275 68172 68445 68770 69966 70395 70794 71415 73002 73853 74100 74727 76050 76950 77740 78660 79350 80028 80275 80730 81225 82524 83030 84474 85215 85698 86697 89401 89700 90459 91260 93150 93860 95220 96330 96876 97175 97470 98325 99636 100035 100510 102258 103155 104949 105300 107939 108300 109503 111150 113620 114075 115596 116610 116964 117325 117990 119025 120612 121095 121670 122018 123786 124545 126711 130663 131100 133380 134550 136890 137540 139932 140790 141588 142025 142830 144495 146004 146205 147706 149454 150765 152100 153387 153900 158171 158700 160550 161460 162450 166060 166725 168948 170430 171396 171925 173394 174915 176985 178802 180918 182505 183027 185679 186300 190969 192660 194350 194940 196650 200070 201020 201825 204516 206310 207575 209898 211185 214245 215878 219006 221559 222300 224181 228150 231173 233220 234650 235980 238050 240825 242190 243340 243675 244036 247572 249090 251275 253422 255645 260091 261326 268203 269100 271377 273780 279841 281580 284050 285660 288990 291525 292410 294975 295412 298908 301530 304175 305045 306774 309465 314847 316342 321100 323817 324900 328509 333450 340860 342225 343850 346788 349830 351975 353970 357075 357604 361836 365010 366054 369265 371358 373635 380133 381938 388700 391989 393300 400140 403650 412620 415150 419796 422370 426075 428490 431756 433485 438012 443118 447005 448362 452295 456300 460161 462346 469300 474513 476100 481650 484380 487350 498180 500175 502550 506844 511290 515775 520182 522652 524745 536406 539695 542754 547515 549081 557037 559682 568100 572907 577980 583050 584820 589950 603060 605475 608350 610090 613548 618930 622725 629694 632684 633555 647634 653315 657018 664677 666900 672543 684450 687700 693519 699660 703950 707940 714150 722475 730020 731025 732108 738530 742716 747270 753825 760266 763876 766935 783978 790855 804609 807300 814131 830300 839523 844740 852150 856980 866970 874575 884925 886236 894010 896724 904590 912525 915135 920322 924692 928395 949026 954845 963300 971451 974700 985527 1000350 1005100 1022580 1031550 1040364 1049490 1055925 1071225 1072812 1079390 1085508 1095030 1098162 1107795 1114074 1119364 1120905 1145814 1155865 1166100 1175967 1179900 1210950 1216700 1220180 1237860 1245450 1259388 1267110 1278225 1295268 1300455 1306630 1314036 1329354 1341015 1345086 1356885 1368900 1387038 1399205 1403207 1407900 1423539 1428300 1444950 1462050 1477060 1494540 1507650 1520532 1525225 1533870 1547325 1567956 1574235 1581710 1609218 1619085 1628262 1642545 1647243 1679046 1698619 1704300 1718721 1733940 1749150 1769850 1788020 1809180 1825050 1830270 1840644 1846325 1856790 1868175 1898052 1900665 1909690 1942902 1959945 1971054 1994031 2000700 2056223 2063100 2080557 2098980 2111850 2142450 2158780 2167425 2190060 2196324 2215590 2228148 2235025 2241810 2261475 2291628 2300805 2311730 2351934 2372565 2413827 2421900 2482597 2490900 2518569 2534220 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10910440908 11134447545 11197557774 11365976700 11720471100 11819644317 11859174900 12171258450 12441730860 12658108788 12769144830 12847439475 13070873205 13132938130 13361337054 13478541765 13638051135 13758813900 14187938700 14355843300 14523192450 14733628650 14845930060 15153390150 15322973796 15416927370 15552163575 15759525756 15822635985 16174250118 16365661362 16655406300 17072819569 17129919300 17427830940 17580706650 17788762350 17971389020 18184068180 18500312844 18557412575 18662596290 19153717245 19699407195 20042005581 20109035700 20736218100 21096847980 21281908050 21533764950 21784788675 22268895090 22395115548 22464236275 22730085225 23125391055 23639288634 24261375177 24342516900 25538289660 25694878950 26141746410 26265876260 26371059975 26722674108 26957083530 27276102270 27993894435 29046384900 29467257300 30306780300 30833854740 31104327150 31645271970 31922862075 32348500236 32731322724 32832345325 33403342635 34145639138 35161413300 35458932951 35577524700 37114825150 37325192580 38307434490 38542318425 39398814390 40084011162 40435625295 40914153405 42563816100 43067529900 43569577350 44537790180 44928472550 45460170450 46250782110 46656490725 47278577268 48522750354 51218458707 51389757900 52283492820 52742119950 53914167060 54552204540 55672237725 55987788870 59098221585 60126016743 62208654300 63290543940 63845724150 65354366025 65664690650 66806685270 67392708825 68190255675 68291278276 70917865902 72784125531 74229650300 76614868980 77084636850 78797628780 79113179925 80168022324 80871250590 81828306810 85364097845 87139154700 89856945100 90920340900 92501564220 93312981450 95768586225 97045500708 98497035975 100210027905 102436917414 105484239900 106376798853 111344475450 111975577740 115626955275 118196443170 120252033486 121306875885 127691448300 130708732050 131329381300 133613370540 134785417650 136380511350 139969472175 141835731804 145568251062 153655376121 154169273700 158226359850 161742501180 163656613620 167016713175 170728195690 177294664755 186625962900 191537172450 196994071950 200420055810 202178126475 204570767025 204873834828 212753597706 222688950900 231253910550 236392886340 240504066972 242613751770 256092293535 261417464100 269570835300 272761022700 279938944350 291136502124 295491107925 300630083715 307310752242 316452719700 334033426350 341456391380 354589329510 363920627655 383074344900 393988143900 400840111620 404356252950 409141534050 425507195412 426820489225 460966128363 462507821100 485227503540 501050139525 512184587070 531883994265 559877888700 590982215850 601260167430 606534379425 614621504484 668066852700 709178659020 727841255310 768276880605 808712505900 818283068100 853640978450 886473323775 921932256726 1002100279050 1024369174140 1063767988530 1181964431700 1202520334860 1213068758850 1280461467675 1382898385089 1455682510620 1503150418575 1536553761210 1707281956900 1772946647550 1819603138275 1843864513452 2004200558100 2127535977060 2304830641815 2426137517700 2560922935350 2659419971325 2765796770178 3006300837150 3073107522420 3545893295100 3639206276550 3841384403025 4609661283630 5121845870700 5318839942650 5531593540356 6012601674300 6914491925445 7278412553100 7682768806050 9219322567260 10637679885300 11524153209075 13828983850890 15365537612100 23048306418150 27657967701780 34572459627225 46096612836300 69144919254450 138289838508900
- Sum of all divisors σ(n): 535596340942971
- Sum of proper divisors (its aliquot sum) s(n): 397306502434071
- 138289838508900 is an abundant number, because the sum of its proper divisors (397306502434071) is greater than itself. Its abundance is 259016663925171
Bases of 138289838508900
- Binary: 111110111000110000111001011001101001011011001002
- Hexadecimal: 0x7DC61CB34B64
- Base-36: 1D0PH3B690
Squares and roots of 138289838508900
- 138289838508900 squared (1382898385089002) is 19124079434817641375379210000
- 138289838508900 cubed (1382898385089003) is 2644665856672307209721985835398459969000000
-
138289838508900 is a
perfect square number . Itssquare root is 11759670 -
The
cube root of 138289838508900 is 51712.6455764787
Scales and comparisons
How big is 138289838508900?- 138,289,838,508,900 seconds is equal to 4,397,189 years, 5 weeks, 3 days, 14 hours, 15 minutes.
-
To count from 1 to 138,289,838,508,900 would take you about ten million, nine hundred ninety-two thousand, nine hundred seventy-two 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 138289838508900 cubic inches would be around 4309.4 feet tall.
Recreational maths with 138289838508900
- 138289838508900 backwards is 009805838982831
- The number of decimal digits it has is: 15
- The sum of 138289838508900's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 138289838508900 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
APA style:
Numbermatics. (2024). Number 138289838508900 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/138289838508900/
Chicago style:
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The information we have on file for 138289838508900 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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