138081345922520
138,081,345,922,520 is an even composite number composed of seven prime numbers multiplied together.
138081345922520 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 138081345922520:
23 × 5 × 73 × 116 × 13 × 19 × 23
(2 × 2 × 2 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 11 × 13 × 19 × 23)See below for interesting mathematical facts about the number 138081345922520 from the Numbermatics database.
Names of 138081345922520
- Cardinal: 138081345922520 can be written as One hundred thirty-eight trillion, eighty-one billion, three hundred forty-five million, nine hundred twenty-two thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3808134592252 × 1014
Factors of 138081345922520
Divisors of 138081345922520
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 19 20 22 23 26 28 35 38 40 44 46 49 52 55 56 65 70 76 77 88 91 92 95 98 104 110 115 121 130 133 140 143 152 154 161 182 184 190 196 209 220 230 242 245 247 253 260 266 280 286 299 308 322 343 364 380 385 392 418 437 440 455 460 484 490 494 506 520 532 539 572 598 605 616 637 644 665 686 715 728 760 770 805 836 847 874 910 920 931 968 980 988 1001 1012 1045 1064 1078 1127 1144 1196 1210 1235 1265 1274 1288 1330 1331 1372 1430 1463 1495 1540 1573 1610 1672 1694 1715 1729 1748 1771 1820 1862 1960 1976 2002 2024 2090 2093 2156 2185 2254 2299 2392 2420 2470 2530 2548 2660 2662 2695 2717 2744 2783 2860 2926 2990 3059 3080 3146 3185 3220 3289 3388 3430 3458 3496 3542 3640 3724 3773 4004 4180 4186 4235 4312 4370 4459 4508 4598 4655 4807 4840 4940 5005 5060 5096 5320 5324 5390 5434 5566 5635 5681 5720 5852 5929 5980 6118 6292 6370 6440 6517 6578 6655 6776 6860 6916 7007 7084 7315 7448 7546 7865 7889 8008 8360 8372 8470 8645 8740 8855 8918 9016 9196 9310 9317 9614 9880 10010 10120 10241 10465 10648 10780 10868 11011 11132 11270 11362 11495 11704 11858 11960 12103 12236 12397 12584 12740 13034 13156 13310 13585 13720 13832 13915 14014 14168 14630 14641 14651 15092 15295 15730 15778 16093 16445 16744 16940 17290 17303 17480 17710 17836 18392 18620 18634 18865 19019 19228 19481 20020 20482 20930 21413 21560 21736 22022 22264 22295 22540 22724 22990 23023 23716 24035 24206 24472 24794 25289 25480 26068 26312 26620 27170 27830 28028 28405 29260 29282 29302 29645 29887 30184 30590 30613 31460 31556 32186 32585 32890 33649 33880 34580 34606 35035 35420 35672 36179 37240 37268 37730 38038 38456 38962 39445 39767 40040 40964 41503 41860 42826 44044 44590 45080 45448 45980 46046 46585 47432 48070 48412 49049 49588 50578 51205 52136 52877 53240 54340 55055 55660 56056 56810 58520 58564 58604 59290 59774 60515 61180 61226 61985 62491 62920 63112 64372 65170 65219 65780 67298 69160 69212 70070 70840 71687 72358 73205 73255 74536 75460 76076 77077 77924 78890 79534 80465 81928 83006 83720 84721 85652 86515 86779 88088 89180 91960 92092 93170 95095 96140 96824 97405 98098 99176 101156 102410 102487 102557 105754 107065 108680 110110 111320 112651 113620 115115 117128 117208 118580 119548 121030 121121 122360 122452 123970 124982 126445 128744 130340 130438 131560 133133 134596 136367 138424 140140 143374 144716 146410 146510 149435 149891 150920 152152 153065 154154 155848 157780 159068 160930 161051 161161 166012 168245 169442 171304 173030 173558 177023 178360 180895 184184 186340 190190 190333 192280 194810 196196 198835 202312 204820 204974 205114 207515 209209 211508 214130 214291 220220 225302 227240 230230 235543 237160 239096 242060 242242 244904 245245 247940 249964 252890 253253 260680 260876 264385 266266 269192 272734 278179 278369 280280 286748 289432 292820 293020 298870 299782 306130 308308 312455 315560 318136 321860 322102 322322 326095 328757 332024 336490 336743 338884 346060 347116 354046 358435 361790 370139 372680 380380 380666 385385 389620 392392 397670 397969 409640 409948 410228 415030 418418 423016 423605 428260 428582 433895 437437 440440 450604 456533 460460 471086 484120 484484 490490 495880 499928 505780 506506 512435 512785 521752 528770 532532 539539 545468 556358 556738 563255 573496 581647 585640 586040 597740 599564 605605 612260 616616 624910 643720 644204 644644 652190 657514 665665 672980 673486 677768 681835 687401 692120 694232 708092 716870 717409 723580 740278 749455 760760 761332 770770 779240 788557 795340 795938 805255 805805 819896 820456 830060 836836 847210 847847 856520 857164 867790 874874 885115 901208 913066 920920 931931 942172 951665 954569 968968 980980 1011560 1013012 1024870 1025570 1046045 1057540 1065064 1071455 1079078 1090936 1112716 1113476 1126510 1127357 1128127 1163294 1177715 1195480 1199128 1211210 1224520 1239161 1249820 1266265 1288408 1289288 1304380 1315028 1331330 1332331 1345960 1346972 1363670 1374802 1390895 1391845 1416184 1433740 1434818 1447160 1464463 1480556 1498910 1500037 1522664 1541540 1577114 1590680 1591876 1610510 1611610 1643785 1648801 1660120 1673672 1683715 1694420 1695694 1714328 1735580 1749748 1770230 1771561 1772771 1826132 1850695 1863862 1884344 1903330 1909138 1947253 1948583 1961960 1989845 2026024 2049740 2051140 2092090 2093663 2115080 2142910 2158156 2187185 2225432 2226952 2253020 2254714 2256254 2282665 2301299 2326588 2355430 2357201 2422420 2478322 2499640 2532530 2590973 2608760 2630056 2662660 2664662 2693944 2697695 2727340 2749604 2781790 2783690 2785783 2867480 2869636 2908235 2928926 2961112 2997820 3000074 3059969 3062059 3083080 3154228 3183752 3221020 3223220 3287570 3297602 3367430 3388840 3391388 3437005 3471160 3499496 3540460 3543122 3545542 3587045 3616327 3652264 3701390 3704173 3727724 3806660 3818276 3894506 3897166 3942785 3979690 4071529 4099480 4102280 4184180 4187326 4239235 4285820 4316312 4374370 4377659 4506040 4509428 4512508 4565330 4602598 4653176 4659655 4710860 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330008140 332702084 336596590 336826490 337079743 346965080 347225956 351896435 354400046 358294552 362736220 363008954 370509139 373052680 381661588 385233992 390009620 397795970 399009842 407459030 410049640 410357948 415877605 420010360 423439016 428395660 428688260 429010582 434032445 437575567 441923944 447868190 451054604 460605860 462011396 471235226 471557086 477076985 481542490 492655009 496037080 496375880 506285780 512947435 518584220 522273752 529298770 529696739 545230840 546013468 552404930 556914358 563034296 563818255 570014060 570442642 577514245 582228647 586225640 599753924 607645423 612872260 627015466 644363720 644848204 652842190 660016280 665404168 673193180 673652980 674159486 682516835 694451912 703792870 708800092 718126409 725472440 726017908 741018278 749692405 763323176 774172157 780019240 795591940 798019684 806060255 814918060 820715896 831755210 856791320 857376520 858021164 868064890 875151134 886000115 895736380 902109208 907522385 914930731 921211720 924022792 942470452 943114172 954153970 963084980 985310018 997524605 1012571560 1025894870 1037168440 1049569367 1058597540 1059393478 1072526455 1092026936 1104809860 1113828716 1127636510 1128484357 1140028120 1140885284 1155028490 1164457294 1178088065 1178892715 1199507848 1215290846 1225744520 1240400161 1254030932 1270531339 1289696408 1305684380 1346386360 1347305960 1348318972 1365033670 1392285895 1407585740 1417600184 1426106605 1436252818 1452035816 1482036556 1499384810 1501537037 1548344314 1567538665 1591183880 1596039368 1612120510 1629836120 1649323291 1663510420 1685398715 1716042328 1736129780 1750302268 1772000230 1791472760 1815044770 1829861462 1852545695 1884940904 1886228344 1908307940 1926169960 1949200253 1970620036 1995049210 1996549247 2051789740 2099138734 2117195080 2118786956 2145052910 2187877835 2194554131 2209619720 2227657432 2255273020 2256968714 2281770568 2310056980 2328914588 2356176130 2357785430 2359558201 2430581692 2463275045 2480800322 2508061864 2541062678 2593563973 2611368760 2648483695 2696637944 2730067340 2784571790 2815171480 2852213210 2872505636 2911143235 2964073112 2998769620 3003074074 3038227115 3063028969 3096688628 3135077330 3224241020 3298646582 3327020840 3370797430 3448585063 3472259560 3500604536 3544000460 3590632045 3630089540 3659722924 3705091390 3707877173 3816615880 3870860785 3898400506 3941240072 3990098420 3993098494 4075600529 4103579480 4198277468 4237573912 4290105820 4375755670 4389108262 4510546040 4513937428 4574653655 4620113960 4657829176 4712352260 4715570860 4719116402 4861163384 4926550090 4961600644 5082125356 5187127946 5247846835 5296967390 5419205099 5460134680 5569143580 5642421785 5704426420 5745011272 5822286470 5997539240 6006148148 6076454230 6126057938 6193377256 6202000805 6270154660 6352656695 6404515117 6448482040 6597293164 6741594860 6897170126 7088000920 7181264090 7260179080 7319445848 7410182780 7415754346 7507685185 7741721570 7796801012 7899390499 7980196840 7986196988 8151201058 8246616455 8396554936 8580211640 8751511340 8778216524 9027874856 9149307310 9424704520 9431141720 9438232804 9746001265 9853100180 9923201288 9982746235 10064238041 10164250712 10374255892 10495693670 10593934780 10838410198 10972770655 11138287160 11284843570 11408852840 11545263037 11644572940 11797791005 12012296296 12152908460 12252115876 12404001610 12540309320 12705313390 12809030234 12967819865 13194586328 13483189720 13644401771 13794340252 13975844729 14362528180 14820365560 14831508692 15015370370 15315144845 15483443140 15593602024 15798780998 15972393976 16302402116 16493232910 16516907407 17242925315 17503022680 17556433048 18298614620 18539385865 18876465608 19492002530 19706200360 19965492470 20128476082 20378002645 20748511784 20991387340 21187869560 21441202783 21676820396 21945541310 22569687140 23090526074 23289145880 23595582010 24140095441 24305816920 24504231752 24808003220 25410626780 25618060468 25935639730 25955140211 27096025495 27288803542 27588680504 27951689458 28529203703 28725056360 29663017384 30030740740 30630289690 30966886280 31597561996 32022575585 32604804232 32986465820 33033814814 34485850630 36597229240 37078771730 37934435693 38984005060 39496952495 39930984940 40256952164 40756005290 41982774680 42882405566 43353640792 43891082620 44831605819 45139374280 46181052148 47191164020 48280190882 49616006440 50321190205 50821253560 51236120936 51871279460 51910280422 54192050990 54577607084 55903378916 57058407406 57726315185 60061481480 61260579380 63195123992 64045151170 65972931640 66067629628 68222008855 68971701260 69879223645 70449666287 74157543460 75868871386 77968010120 78993904990 79861969880 80513904328 81512010580 82584537035 85764811132 87782165240 89663211638 92362104296 94382328040 96560381764 100642380410 103742558920 103820560844 107206013915 108384101980 109155214168 111806757832 114116814812 115452630370 120700477205 122521158760 128090302340 129775701055 132135259256 136444017710 137943402520 139758447290 140899332574 142646018515 148315086920 150088419481 151737742772 157987809980 163024021160 165169074070 171529622264 179326423276 181685981477 189672178465 193120763528 201284760820 207641121688 214412027830 216768203960 224158029095 228233629624 230905260740 241400954410 256180604680 259551402110 265541049851 272888035420 279516894580 281798665148 285292037030 300176838962 303475485544 313821240733 315975619960 330338148140 352248331435 358652846552 363371962954 379344356930 402569521640 428824055660 448316058190 461810521480 482801908820 493147664009 519102804220 531082099702 545776070840 559033789160 563597330296 570584074060 600353677924 627642481466 660676296280 704496662870 726743925908 750442097405 758688713860 857648111320 896632116380 908429907385 965603817640 986295328018 1038205608440 1062164199404 1141168148120 1200707355848 1255284962932 1327705249255 1408993325740 1453487851816 1500884194810 1517377427720 1569106203665 1793264232760 1816859814770 1972590656036 2124328398808 2465738320045 2510569925864 2655410498510 2817986651480 3001768389620 3138212407330 3452033648063 3633719629540 3945181312072 4931476640090 5310820997020 6003536779240 6276424814660 6904067296126 7267439259080 9862953280180 10621641994040 12552849629320 13808134592252 17260168240315 19725906560360 27616269184504 34520336480630 69040672961260 138081345922520
- Sum of all divisors σ(n): 471433616640000
- Sum of proper divisors (its aliquot sum) s(n): 333352270717480
- 138081345922520 is an abundant number, because the sum of its proper divisors (333352270717480) is greater than itself. Its abundance is 195270924794960
Bases of 138081345922520
- Binary: 111110110010101100100011001001011100101110110002
- Hexadecimal: 0x7D959192E5D8
- Base-36: 1CY1P07H08
Squares and roots of 138081345922520
- 138081345922520 squared (1380813459225202) is 19066458091774630629843150400
- 138081345922520 cubed (1380813459225203) is 2632722195287563353070871594912191107008000
-
The
square root of 138081345922520 is 11750801.9267844013 -
The
cube root of 138081345922520 is 51686.6443261901
Scales and comparisons
How big is 138081345922520?- 138,081,345,922,520 seconds is equal to 4,390,559 years, 35 weeks, 4 days, 22 hours, 55 minutes, 20 seconds.
-
To count from 1 to 138,081,345,922,520 would take you about ten million, nine hundred seventy-six thousand, three hundred ninety-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 138081345922520 cubic inches would be around 4307.2 feet tall.
Recreational maths with 138081345922520
- 138081345922520 backwards is 025229543180831
- The number of decimal digits it has is: 15
- The sum of 138081345922520's digits is 53
- More coming soon!
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"Number 138081345922520 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138081345922520 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138081345922520/
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The information we have on file for 138081345922520 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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