138135012120
138,135,012,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138135012120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
138135012120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138135012120:
23 × 35 × 5 × 72 × 29 × 73 × 137
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 29 × 73 × 137)See below for interesting mathematical facts about the number 138135012120 from the Numbermatics database.
Names of 138135012120
- Cardinal: 138135012120 can be written as One hundred thirty-eight billion, one hundred thirty-five million, twelve thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3813501212 × 1011
Factors of 138135012120
Divisors of 138135012120
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 29 30 35 36 40 42 45 49 54 56 58 60 63 70 72 73 81 84 87 90 98 105 108 116 120 126 135 137 140 145 146 147 162 168 174 180 189 196 203 210 216 219 232 243 245 252 261 270 274 280 290 292 294 315 324 348 360 365 378 392 405 406 411 420 435 438 441 486 490 504 511 522 540 548 567 580 584 588 609 630 648 657 685 696 730 735 756 783 810 812 822 840 870 876 882 945 959 972 980 1015 1022 1044 1080 1095 1096 1134 1160 1176 1215 1218 1233 1260 1305 1314 1323 1370 1421 1460 1470 1512 1533 1566 1620 1624 1644 1701 1740 1752 1764 1827 1890 1918 1944 1960 1971 2030 2044 2055 2088 2117 2190 2205 2268 2349 2430 2436 2466 2520 2555 2610 2628 2646 2740 2835 2842 2877 2920 2940 3045 3066 3132 3240 3285 3288 3402 3480 3528 3577 3654 3699 3780 3836 3915 3942 3969 3973 4060 4088 4110 4234 4263 4380 4410 4536 4599 4698 4795 4860 4872 4932 5110 5220 5256 5292 5480 5481 5670 5684 5754 5880 5913 6090 6132 6165 6264 6351 6570 6615 6713 6804 7047 7105 7154 7308 7398 7560 7665 7672 7830 7884 7938 7946 8120 8220 8468 8505 8526 8631 8760 8820 9135 9198 9396 9590 9720 9855 9864 10001 10220 10440 10584 10585 10731 10962 11097 11340 11368 11508 11745 11826 11907 11919 12180 12264 12330 12702 12789 13140 13230 13426 13608 13797 14094 14210 14308 14385 14616 14796 14819 15330 15660 15768 15876 15892 16440 16443 16936 17010 17052 17262 17640 17739 17885 18270 18396 18495 18792 19053 19180 19710 19845 19865 20002 20139 20440 21170 21315 21462 21924 22194 22680 22995 23016 23490 23652 23814 23838 24360 24660 25404 25578 25893 26280 26460 26852 27405 27594 27811 28188 28420 28616 28770 29565 29592 29638 30003 30660 31320 31752 31755 31784 32193 32886 33291 33565 34020 34104 34524 35235 35478 35757 35770 36540 36792 36990 38106 38360 38367 39420 39690 39730 40004 40278 41391 42340 42630 42924 43155 43848 44388 44457 45990 46980 47304 47628 47676 49320 49329 50005 50808 51156 51786 52920 53655 53704 54810 55188 55485 55622 56376 56840 57159 57540 59130 59276 59535 59595 60006 60417 61320 63510 63945 64386 65772 66582 67130 68040 68985 69048 70007 70470 70956 71514 71540 73080 73980 74095 76212 76734 77679 78840 79380 79460 80008 80556 82215 82782 83433 84680 85260 85848 86310 88695 88776 88914 90009 91980 93960 95256 95265 95352 96579 98658 100010 100695 102312 103572 103733 107271 107310 109620 110376 110970 111244 114318 115080 115101 118260 118552 119070 119190 120012 120834 124173 127020 127890 128772 129465 131544 133164 133371 134260 137970 139055 140014 140940 141912 143028 143080 147960 148190 150015 152424 153468 155358 158760 158920 160965 161112 164430 165564 166455 166866 170520 171477 172620 177390 177828 178785 180018 181251 183960 190530 191835 193158 194677 197316 200020 201390 206955 207144 207466 210021 214542 214620 219240 221940 222285 222488 228636 230202 233037 236520 238140 238380 240024 241668 246645 248346 250299 254040 255780 257544 258930 266328 266742 268520 270027 275940 278110 280028 281880 285795 286056 289737 290029 296380 300030 302085 306936 310716 311199 321813 321930 328860 331128 332910 333732 342954 345240 345303 350035 354780 355656 357570 360036 362502 381060 383670 386316 388395 389354 394632 400040 400113 402780 413910 414932 417165 420042 429084 429240 443880 444570 450045 457272 460404 466074 476280 476760 482895 483336 490049 493290 496692 500598 511560 514431 517860 518665 533484 536355 540054 543753 551880 556220 560056 571590 575505 579474 580058 584031 592760 600060 604170 620865 621432 622398 630063 643626 643860 657720 665820 666855 667464 685908 690606 700070 709560 715140 720072 725004 750897 762120 767340 772632 776790 778708 800226 805560 810081 827820 829864 834330 840084 857385 858168 869211 870087 889140 900090 906255 920808 932148 933597 965439 965790 973385 980098 986580 993384 1001196 1028862 1035720 1037330 1050105 1066968 1072710 1080108 1087506 1112440 1143180 1151010 1158948 1160116 1165185 1168062 1200120 1200339 1208340 1241730 1244796 1251495 1260126 1287252 1287720 1331640 1333710 1350135 1371816 1381212 1400140 1430280 1448685 1450008 1450145 1470147 1501794 1534680 1553580 1555995 1557416 1600452 1609065 1620162 1631259 1655640 1668660 1680168 1714770 1726515 1738422 1740174 1752093 1778280 1800180 1812510 1864296 1867194 1890189 1930878 1931580 1946770 1960196 1973160 2000565 2002392 2030203 2057724 2074660 2100210 2145420 2160216 2175012 2252691 2286360 2302020 2317896 2320232 2330370 2336124 2400678 2416680 2430243 2450245 2483460 2489592 2502990 2520252 2572155 2574504 2610261 2667420 2700270 2718765 2762424 2800280 2800791 2897370 2900290 2920155 2940294 3003588 3107160 3111990 3150315 3200904 3218130 3240324 3262518 3337320 3429540 3453030 3476844 3480348 3504186 3600360 3601017 3625020 3734388 3754485 3780378 3861756 3863160 3893540 3920392 4001130 4050405 4060406 4115448 4149320 4200420 4290840 4346055 4350024 4350435 4410441 4505382 4604040 4660740 4667985 4672248 4801356 4827195 4860486 4900490 4966920 5005980 5040504 5144310 5220522 5256279 5334840 5400540 5437530 5601582 5670567 5794740 5800580 5840310 5880588 6001695 6007176 6090609 6223980 6300630 6436260 6480648 6525036 6758073 6859080 6906060 6953688 6960696 7008372 7202034 7250040 7350735 7468776 7508970 7560756 7723512 7787080 7830783 8002260 8100810 8120812 8156295 8400840 8402373 8692110 8700870 8760465 8820882 9010764 9321480 9335970 9450945 9602712 9654390 9720972 9800980 10011960 10151015 10288620 10441044 10512558 10801080 10875060 11203164 11263455 11341134 11589480 11601160 11680620 11761176 12003390 12151215 12181218 12447960 12601260 12872520 13050072 13051305 13231323 13516146 13812120 14003955 14016744 14211421 14404068 14701470 15017940 15121512 15661566 15768837 16004520 16201620 16241624 16312590 16804746 17011701 17384220 17401740 17520930 17641764 18005085 18021528 18271827 18671940 18901890 19308780 19441944 19601960 20302030 20577240 20882088 21025116 21750120 22052205 22406328 22526910 22682268 23361240 23492349 24006780 24302430 24362436 25202520 25207119 26102610 26281395 26462646 27032292 28007910 28352835 28422842 28808136 29402940 30035880 30453045 31323132 31537674 32403240 32625180 33609492 33790365 34023402 34768440 34803480 35041860 35283528 36010170 36543654 37343880 37803780 38617560 39153915 39693969 40604060 42011865 42050232 42634263 44104410 45053820 45364536 46984698 47306511 48013560 48604860 48724872 50414238 52205220 52562790 52925292 54064584 54815481 56015820 56705670 56845684 58805880 60906090 62646264 63075348 65250360 66156615 67218984 67580730 68046804 70083720 70477047 71057105 72020340 73087308 75607560 78307830 78844185 79387938 81208120 84023730 85058505 85268526 88208820 90107640 91359135 93969396 94613022 97209720 100828476 104410440 105125580 105850584 109630962 112031640 113411340 113691368 117461745 119081907 121812180 126035595 126150696 127902789 132313230 135161460 136093608 140954094 142114210 144040680 146174616 156615660 157688370 158775876 164446443 168047460 170117010 170537052 176417640 182718270 187938792 189226044 198469845 201656952 210251160 213171315 219261924 226822680 234923490 236532555 238163814 243624360 252071190 255805578 264626460 270322920 274077405 281908188 284228420 313231320 315376740 317551752 328892886 336094920 340234020 341074104 352385235 365436540 378452088 383708367 396939690 426342630 438523848 469846980 473065110 476327628 493339329 504142380 511611156 529252920 548154810 563816376 568456840 595409535 630753480 639513945 657785772 680468040 704770470 730873080 767416734 793879380 822232215 852685260 939693960 946130220 952655256 986678658 1008284760 1023222312 1096309620 1151125101 1190819070 1279027890 1315571544 1409540940 1534833468 1587758760 1644464430 1705370520 1892260440 1918541835 1973357316 2192619240 2302250202 2381638140 2466696645 2558055780 2819081880 3069666936 3288928860 3453375303 3837083670 3946714632 4604500404 4763276280 4933393290 5116111560 5755625505 6577857720 6906750606 7674167340 9209000808 9866786580 11511251010 13813501212 15348334680 17266876515 19733573160 23022502020 27627002424 34533753030 46045004040 69067506060 138135012120
- Sum of all divisors σ(n): 572072155200
- Sum of proper divisors (its aliquot sum) s(n): 433937143080
- 138135012120 is an abundant number, because the sum of its proper divisors (433937143080) is greater than itself. Its abundance is 295802130960
Bases of 138135012120
- Binary: 100000001010010111110100000011000110002
- Hexadecimal: 0x20297D0318
- Base-36: 1RGI0PI0
Squares and roots of 138135012120
- 138135012120 squared (1381350121202) is 19081281573392546894400
- 138135012120 cubed (1381350121203) is 2635793061405712134775612360128000
-
The
square root of 138135012120 is 371665.1882003479 -
The
cube root of 138135012120 is 5169.3339573753
Scales and comparisons
How big is 138135012120?- 138,135,012,120 seconds is equal to 4,392 years, 13 weeks, 5 days, 20 hours, 42 minutes.
-
To count from 1 to 138,135,012,120 would take you about eight thousand, seven hundred eighty-four 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 138135012120 cubic inches would be around 430.8 feet tall.
Recreational maths with 138135012120
- 138135012120 backwards is 021210531831
- 138135012120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138135012120'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 138135012120 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 138135012120 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138135012120/
Chicago style:
Numbermatics. 2024. "Number 138135012120 - Facts about the integer". https://numbermatics.com/n/138135012120/
The information we have on file for 138135012120 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 138135012120, math, Factors of 138135012120, curriculum, school, college, exams, university, Prime factorization of 138135012120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, one hundred thirty-five million, twelve thousand, one hundred twenty.