138318667428480
138,318,667,428,480 is an even composite number composed of six prime numbers multiplied together.
138318667428480 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 138318667428480:
27 × 3 × 5 × 72 × 113 × 10512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 11 × 11 × 1051 × 1051)See below for interesting mathematical facts about the number 138318667428480 from the Numbermatics database.
Names of 138318667428480
- Cardinal: 138318667428480 can be written as One hundred thirty-eight trillion, three hundred eighteen billion, six hundred sixty-seven million, four hundred twenty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3831866742848 × 1014
Factors of 138318667428480
Divisors of 138318667428480
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 49 55 56 60 64 66 70 77 80 84 88 96 98 105 110 112 120 121 128 132 140 147 154 160 165 168 176 192 196 210 220 224 231 240 242 245 264 280 294 308 320 330 336 352 363 384 385 392 420 440 448 462 480 484 490 528 539 560 588 605 616 640 660 672 704 726 735 770 784 840 847 880 896 924 960 968 980 1051 1056 1078 1120 1155 1176 1210 1232 1320 1331 1344 1408 1452 1470 1540 1568 1617 1680 1694 1760 1815 1848 1920 1936 1960 2102 2112 2156 2240 2310 2352 2420 2464 2541 2640 2662 2688 2695 2904 2940 3080 3136 3153 3234 3360 3388 3520 3630 3696 3872 3920 3993 4204 4224 4235 4312 4480 4620 4704 4840 4928 5082 5255 5280 5324 5390 5808 5880 5929 6160 6272 6306 6468 6655 6720 6776 7040 7260 7357 7392 7744 7840 7986 8085 8408 8470 8624 9240 9317 9408 9680 9856 10164 10510 10560 10648 10780 11561 11616 11760 11858 12320 12612 12705 12936 13310 13440 13552 14520 14714 14784 15488 15680 15765 15972 16170 16816 16940 17248 17787 18480 18634 18816 19360 19965 20328 21020 21120 21296 21560 22071 23122 23232 23520 23716 24640 25224 25410 25872 26620 27104 27951 29040 29428 29568 29645 31360 31530 31944 32340 33632 33880 34496 34683 35574 36785 36960 37268 38720 39930 40656 42040 42592 43120 44142 46244 46464 46585 47040 47432 49280 50448 50820 51499 51744 53240 54208 55902 57805 58080 58856 59290 63060 63888 64680 65219 67264 67760 68992 69366 71148 73570 73920 74536 77440 79860 80927 81312 84080 85184 86240 88284 88935 92488 93170 94080 94864 100896 101640 102998 103488 106480 108416 110355 111804 115610 116160 117712 118580 126120 127171 127776 129360 130438 134528 135520 138732 139755 142296 147140 147840 149072 154497 159720 161854 162624 168160 170368 172480 173415 176568 177870 184976 186340 189728 195657 201792 203280 205996 206976 212960 220710 223608 231220 232320 235424 237160 242781 252240 254342 255552 257495 258720 260876 271040 277464 279510 284592 294280 298144 308994 319440 323708 325248 326095 336320 344960 346830 353136 355740 369952 372680 379456 381513 391314 403584 404635 406560 411992 425920 441420 447216 462440 470848 474320 485562 504480 508684 511104 514990 517440 521752 542080 554928 559020 566489 569184 588560 596288 617988 635855 638880 647416 652190 672640 693660 706272 711480 739904 745360 758912 763026 772485 782628 809270 813120 823984 851840 882840 890197 894432 924880 941696 948640 971124 978285 1008960 1017368 1029980 1034880 1043504 1104601 1109856 1118040 1132978 1138368 1177120 1192576 1213905 1235976 1271710 1277760 1294832 1304380 1387320 1398881 1412544 1422960 1479808 1490720 1526052 1544970 1565256 1618540 1626240 1647968 1699467 1765680 1780394 1788864 1849760 1897280 1907565 1942248 1956570 2017920 2034736 2059960 2087008 2209202 2219712 2236080 2265956 2276736 2354240 2427810 2471952 2543420 2555520 2589664 2608760 2670591 2774640 2797762 2825088 2832445 2845920 2981440 3052104 3089940 3130512 3237080 3295936 3313803 3398934 3531360 3560788 3577728 3699520 3794560 3815130 3884496 3913140 4069472 4119920 4174016 4196643 4418404 4439424 4450985 4472160 4531912 4708480 4855620 4943904 5086840 5179328 5217520 5341182 5523005 5549280 5595524 5664890 5691840 5962880 6104208 6179880 6231379 6261024 6474160 6591872 6627606 6797868 6994405 7062720 7121576 7399040 7630260 7732207 7768992 7826280 8138944 8239840 8348032 8393286 8497335 8836808 8901970 8944320 9063824 9711240 9792167 9887808 10173680 10358656 10435040 10682364 11046010 11098560 11191048 11329780 11383680 12150611 12208416 12359760 12462758 12522048 12948320 13255212 13352955 13595736 13988810 14125440 14243152 15260520 15464414 15537984 15652560 16277888 16479680 16569015 16786572 16994670 17673616 17803940 17888640 18127648 18694137 19422480 19584334 19775616 20347360 20870080 20983215 21364728 22092020 22197120 22382096 22659560 23196621 24301222 24416832 24719520 24925516 25044096 25896640 26510424 26705910 27191472 27977620 28486304 29376501 30521040 30928828 31075968 31156895 31305120 32959360 33138030 33573144 33989340 35347232 35607880 36255296 36451833 37388274 38661035 38844960 39168668 40694720 41740160 41966430 42729456 44184040 44764192 45319120 46393242 48602444 48833664 48960835 49439040 49851032 51793280 53020848 53411820 54125449 54382944 55955240 56972608 58753002 60753055 61042080 61857656 62313790 62610240 66276060 67146288 67978680 68545169 70694464 71215760 72510592 72903666 74776548 77322070 77689920 78337336 81389440 83932860 85054277 85458912 88368080 89528384 90638240 92786484 93470685 97204888 97921670 98878080 99702064 106041696 106823640 108250898 108765888 111910480 113945216 115983105 117506004 121506110 122084160 123715312 124627580 125220480 132552120 133656721 134292576 135957360 137090338 141388928 142431520 145807332 146882505 149553096 154644140 155379840 156674672 162376347 167865720 170108554 170917824 176736160 179056768 181276480 182259165 185572968 186941370 194409776 195843340 199404128 205635507 212083392 213647280 216501796 217531776 223820960 231966210 235012008 243012220 244168320 247430624 249255160 255162831 265104240 267313442 268585152 270627245 271914720 274180676 284863040 291614664 293765010 299106192 309288280 313349344 324752694 335731440 340217108 341835648 342725845 353472320 362552960 364518330 371145936 373882740 388819552 391686680 398808256 400970163 411271014 424166784 425271385 427294560 433003592 447641920 463932420 470024016 486024440 494861248 498510320 510325662 530208480 534626884 537170304 541254490 543829440 548361352 569726080 583229328 587530020 595379939 598212384 618576560 626698688 649505388 668283605 671462880 680434216 685451690 706944640 729036660 742291872 747765480 777639104 783373360 797616512 801940326 811881735 822542028 850542770 854589120 866007184 895283840 927864840 935597047 940048032 972048880 989722496 997020640 1020651324 1028177535 1060416960 1069253768 1082508980 1087658880 1096722704 1166458656 1175060040 1190759878 1196424768 1237153120 1253397376 1275814155 1299010776 1336567210 1342925760 1360868432 1370903380 1458073320 1470223931 1484583744 1495530960 1555278208 1566746720 1603880652 1623763470 1645084056 1701085540 1709178240 1732014368 1786139817 1855729680 1871194094 1880096064 1944097760 1994041280 2004850815 2041302648 2056355070 2120833920 2138507536 2165017960 2193445408 2332917312 2350120080 2381519756 2392849536 2474306240 2551628310 2598021552 2673134420 2685851520 2721736864 2741806760 2806791141 2916146640 2940447862 2969167488 2976899695 2991061920 3133493440 3207761304 3247526940 3290168112 3402171080 3464028736 3572279634 3711459360 3742388188 3760192128 3888195520 3988082560 4009701630 4082605296 4112710140 4277015072 4330035920 4386890816 4410671793 4665834624 4677985235 4700240160 4763039512 4948612480 5103256620 5196043104 5346268840 5443473728 5483613520 5613582282 5832293280 5880895724 5953799390 5982123840 6266986880 6415522608 6495053880 6549179329 6580336224 6804342160 6928057472 7144559268 7351119655 7422918720 7484776376 7776391040 8019403260 8165210592 8225420280 8554030144 8660071840 8773781632 8821343586 8930699085 9355970470 9400480320 9526079024 10206513240 10291567517 10392086208 10692537680 10886947456 10967227040 11227164564 11664586560 11761791448 11907598780 11964247680 12831045216 12990107760 13098358658 13160672448 13608684320 14033955705 14289118536 14702239310 14845837440 14969552752 16038806520 16330421184 16450840560 17108060288 17320143680 17642687172 17861398170 18711940940 18800960640 19052158048 19647537987 20413026480 20583135034 20784172416 21385075360 21934454080 22053358965 22454329128 23329173120 23523582896 23815197560 25662090432 25980215520 26196717316 26321344896 27217368640 28067911410 28578237072 29404478620 29939105504 30874702551 32077613040 32660842368 32745896645 32901681120 34640287360 35285374344 35722796340 37423881880 38104316096 39295075974 40826052960 41166270068 42770150720 43868908160 44106717930 44908658256 47047165792 47630395120 51324180864 51457837585 51960431040 52393434632 54434737280 56135822820 57156474144 58808957240 59878211008 61749405102 64155226080 65491793290 65803362240 70570748688 71445592680 72040972619 74847763760 76208632192 78590151948 81652105920 82332540136 85540301440 88213435860 89817316512 94094331584 95260790240 98237689935 102915675170 103920862080 104786869264 112271645640 114312948288 117617914480 119756422016 123498810204 128310452160 130983586580 131606724480 141141497376 142891185360 144081945238 149695527520 154373512755 157180303896 163304211840 164665080272 176426871720 179634633024 188188663168 190521580480 196475379870 205831350340 209573738528 216122917857 224543291280 228625896576 235235828960 246997620408 256620904320 261967173160 282282994752 285782370720 288163890476 299391055040 308747025510 314360607792 329330160544 352853743440 359269266048 360204863095 381043160960 392950759740 411662700680 419147477056 432245835714 449086582560 470471657920 493995240816 523934346320 564565989504 571564741440 576327780952 598782110080 617494051020 628721215584 658660321088 705707486880 720409726190 785901519480 823325401360 838294954112 864491671428 898173165120 940943315840 987990481632 1047868692640 1080614589285 1143129482880 1152655561904 1234988102040 1257442431168 1317320642176 1411414973760 1440819452380 1571803038960 1646650802720 1728983342856 1796346330240 1975980963264 2095737385280 2161229178570 2305311123808 2469976204080 2514884862336 2822829947520 2881638904760 3143606077920 3293301605440 3457966685712 3951961926528 4191474770560 4322458357140 4610622247616 4939952408160 5763277809520 6287212155840 6586603210880 6915933371424 8644916714280 9221244495232 9879904816320 11526555619040 12574424311680 13831866742848 17289833428560 19759809632640 23053111238080 27663733485696 34579666857120 46106222476160 69159333714240 138318667428480
- Sum of all divisors σ(n): 564658933049280
- Sum of proper divisors (its aliquot sum) s(n): 426340265620800
- 138318667428480 is an abundant number, because the sum of its proper divisors (426340265620800) is greater than itself. Its abundance is 288021598192320
Bases of 138318667428480
- Binary: 111110111001100110100110000100110110010100000002
- Hexadecimal: 0x7DCCD309B280
- Base-36: 1D12PVAYYO
Squares and roots of 138318667428480
- 138318667428480 squared (1383186674284802) is 19132053759190454055915110400
- 138318667428480 cubed (1383186674284803) is 2646320181141264998876847289564343304192000
-
The
square root of 138318667428480 is 11760895.6898902899 -
The
cube root of 138318667428480 is 51716.2387932881
Scales and comparisons
How big is 138318667428480?- 138,318,667,428,480 seconds is equal to 4,398,105 years, 40 weeks, 2 days, 15 hours, 28 minutes.
-
To count from 1 to 138,318,667,428,480 would take you about ten million, nine hundred ninety-five thousand, two hundred sixty-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 138318667428480 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138318667428480
- 138318667428480 backwards is 084824766813831
- The number of decimal digits it has is: 15
- The sum of 138318667428480's digits is 69
- More coming soon!
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The information we have on file for 138318667428480 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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