138436118213120
138,436,118,213,120 is an even composite number composed of six prime numbers multiplied together.
138436118213120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138436118213120:
29 × 5 × 7 × 133 × 172 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 13 × 13 × 17 × 17 × 23 × 23 × 23)See below for interesting mathematical facts about the number 138436118213120 from the Numbermatics database.
Names of 138436118213120
- Cardinal: 138436118213120 can be written as One hundred thirty-eight trillion, four hundred thirty-six billion, one hundred eighteen million, two hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3843611821312 × 1014
Factors of 138436118213120
Divisors of 138436118213120
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 23 26 28 32 34 35 40 46 52 56 64 65 68 70 80 85 91 92 104 112 115 119 128 130 136 140 160 161 169 170 182 184 208 221 224 230 238 256 260 272 280 289 299 320 322 338 340 364 368 391 416 442 448 455 460 476 512 520 529 544 560 578 595 598 640 644 676 680 728 736 782 805 832 845 884 896 910 920 952 1040 1058 1088 1105 1120 1156 1183 1190 1196 1280 1288 1352 1360 1445 1456 1472 1495 1547 1564 1610 1664 1690 1768 1792 1820 1840 1904 1955 2023 2080 2093 2116 2176 2197 2210 2240 2312 2366 2380 2392 2560 2576 2645 2704 2720 2737 2873 2890 2912 2944 2990 3094 3128 3220 3328 3380 3536 3584 3640 3680 3703 3757 3808 3887 3910 4046 4160 4186 4232 4352 4394 4420 4480 4624 4732 4760 4784 5083 5152 5290 5408 5440 5474 5746 5780 5824 5888 5915 5980 6188 6256 6440 6647 6656 6760 6877 7072 7280 7360 7406 7514 7616 7735 7774 7820 8092 8320 8372 8464 8704 8788 8840 8960 8993 9248 9464 9520 9568 10115 10166 10304 10465 10580 10816 10880 10948 10985 11492 11560 11648 11776 11830 11960 12167 12376 12512 12880 13294 13520 13685 13754 14144 14365 14560 14720 14812 15028 15232 15379 15470 15548 15640 16184 16640 16744 16928 17576 17680 17920 17986 18496 18515 18785 18928 19040 19136 19435 20111 20230 20332 20608 20930 21160 21632 21760 21896 21970 22984 23120 23296 23660 23920 24334 24752 25024 25415 25760 26299 26588 27040 27209 27370 27508 28288 28730 29120 29440 29624 30056 30464 30758 30940 31096 31280 32368 33235 33280 33488 33856 34385 35152 35360 35581 35972 36992 37030 37349 37570 37856 38080 38272 38870 40222 40460 40664 41216 41860 42320 43264 43520 43792 43940 44965 45968 46240 46529 46592 47320 47840 48139 48668 48841 49504 50048 50531 50830 51520 52598 53176 54080 54418 54740 55016 56576 57460 58240 58880 59248 60112 60835 60928 61516 61880 62192 62560 62951 64736 66079 66470 66976 67712 68770 70304 70720 71162 71944 73984 74060 74698 75140 75712 76160 76544 76895 77740 80444 80920 81328 82432 83720 84640 85169 86411 86528 87584 87880 89401 89930 91936 92480 93058 94640 95680 96278 97336 97682 99008 100096 100555 101062 101660 103040 105196 106352 108160 108836 109480 110032 113152 114920 116480 116909 118496 120224 121670 123032 123760 124384 125120 125902 129472 131495 132158 132940 133952 135424 136045 137540 140608 141440 142324 143888 147968 148120 149396 150280 151424 152320 152881 153088 153790 155480 158171 160888 161840 162656 167440 169280 170338 172822 175168 175760 177905 178802 179860 183872 184960 186116 186745 189280 191360 192556 194672 195364 198016 200192 201110 202124 203320 206080 206839 210392 212704 216320 217672 218960 220064 229840 232645 232960 233818 236992 240448 240695 243340 244205 246064 247520 248768 250240 251804 252655 258944 261443 262990 264316 265880 267904 270848 272090 275080 281216 282880 284648 287776 296240 298792 300560 302848 304640 305762 307580 310960 314755 316342 321776 323680 325312 330395 334880 338560 340676 341887 345644 350336 351520 353717 355810 357604 359720 367744 369920 372232 373490 378560 382720 385112 389344 390728 396032 402220 404248 406640 412160 413678 420784 425408 425845 432055 432640 435344 437920 440128 447005 459680 462553 465290 467636 473984 480896 481390 486680 488410 492128 495040 497536 500480 503608 505310 517888 522886 525980 528632 531760 535808 544180 550160 562432 565760 569296 575552 584545 592480 597584 601120 604877 605696 611524 615160 621920 625807 629510 632684 634933 643552 647360 650624 660790 669760 677120 681352 683774 691288 700672 703040 707434 711620 715208 719440 735488 739840 744464 746980 757120 764405 765440 770224 778688 781456 790855 792064 804440 808496 813280 818363 827356 841568 850816 851690 859027 864110 870688 875840 880256 894010 919360 925106 930580 935272 947968 961792 962780 973360 976820 984256 990080 995072 1000960 1007216 1010620 1034195 1035776 1045772 1051960 1057264 1063520 1070167 1071616 1088360 1100320 1107197 1123343 1124864 1138592 1151104 1162213 1169090 1184960 1195168 1202240 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119114240 120263780 121585360 123069205 123235840 125032960 125814416 127196992 129184445 129359360 130167856 130938080 131598272 132376960 133654495 133858816 136981376 137444320 138303347 139121710 139823164 140650520 141721216 142224992 143787904 143935610 146034590 148016960 148763264 149643520 150578792 154848512 157268020 158060968 158996240 160206592 161154560 162542848 162709820 164497840 167323520 169162240 170219504 171226720 172090048 174778955 175046144 177151520 177781240 179734880 180858223 181103104 182845676 185327744 185954080 187116293 188223490 192422048 193560640 194536576 195687680 196910728 197576210 200258240 202458880 203178560 204448426 206695112 209500928 212774380 213847192 215112560 218032640 218807680 219910912 221212160 222594736 225040832 226378880 228557095 228866560 230296976 231659680 233655344 236827136 240527560 243170720 244690537 246138410 251628832 254393984 258368890 260335712 261876160 263196544 264753920 267308990 273962752 274888640 276606694 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691516735 699115820 708606080 711124960 718939520 723432892 731382704 741310976 743816320 748465172 752893960 769688192 774242560 778146304 787642912 790304840 801032960 812714240 817793704 826780448 851097520 855388768 860450240 875230720 890378944 900163328 904291115 905515520 908850566 914228380 921187904 926638720 934621376 935581465 962110240 972682880 978762148 984553640 1006515328 1017575936 1022242130 1033475560 1041342848 1047504640 1052786176 1069235960 1099554560 1106426776 1112973680 1118585312 1125204160 1137799936 1151484880 1168276720 1184135680 1188496894 1204630336 1223452685 1258144160 1264487744 1271969920 1279919732 1301678560 1315982720 1343518228 1361756032 1369813760 1376720384 1383033470 1398231640 1417212160 1422249920 1437879040 1446865784 1462765408 1487632640 1496930344 1505787920 1539376384 1548485120 1575285824 1580609680 1599899665 1602065920 1625428480 1635587408 1653560896 1679397785 1702195040 1710777536 1720900480 1780757888 1800326656 1808582230 1817701132 1828456760 1842375808 1853277440 1869242752 1871162930 1924220480 1945365760 1957524296 1969107280 2013030656 2044484260 2066951120 2082685696 2095009280 2138471920 2199109120 2212853552 2225947360 2237170624 2250408320 2272126415 2275599872 2302969760 2336553440 2351156899 2376993788 2409260672 2446905370 2516288320 2528975488 2543939840 2559839464 2603357120 2631965440 2687036456 2723512064 2739627520 2766066940 2796463280 2834424320 2844499840 2875758080 2893731568 2925530816 2971242235 2975265280 2993860688 3011575840 3078752768 3150571648 3161219360 3180976981 3199799330 3271174816 3307121792 3358795570 3404390080 3421555072 3441800960 3561515776 3617164460 3635402264 3656913520 3684751616 3706554880 3738485504 3742325860 3848440960 3890731520 3915048592 3938214560 4026061312 4088968520 4133902240 4159739129 4165371392 4276943840 4425707104 4451894720 4474341248 4500816640 4544252830 4605939520 4673106880 4702313798 4753987576 4818521344 4893810740 5032576640 5057950976 5087879680 5119678928 5206714240 5263930880 5374072912 5447024128 5532133880 5592926560 5688999680 5787463136 5851061632 5942484470 5987721376 6023151680 6301143296 6322438720 6361953962 6399598660 6542349632 6614243584 6717591140 6808780160 6843110144 6883601920 7123031552 7234328920 7270804528 7313827040 7369503232 7476971008 7484651720 7696881920 7725229811 7830097184 7876429120 8177937040 8267804480 8319478258 8553887680 8851414208 8903789440 8948682496 9001633280 9088505660 9211879040 9346213760 9404627596 9507975152 9637042688 9787621480 10065153280 10115901952 10239357856 10413428480 10748145824 11064267760 11185853120 11377999360 11574926272 11702123264 11755784495 11884968940 11975442752 12046303360 12602286592 12644877440 12723907924 12799197320 13084699264 13228487168 13435182280 13617560320 13686220288 14468657840 14541609056 14627654080 14969303440 15393763840 15450459622 15660194368 15752858240 15904884905 16355874080 16535608960 16638956516 17107775360 17702828416 17807578880 17897364992 18177011320 18423758080 18692427520 18809255192 19015950304 19575242960 20130306560 20478715712 20798695645 20826856960 21496291648 22128535520 22371706240 23149852544 23404246528 23511568990 23769937880 23950885504 24092606720 25289754880 25447815848 25598394640 26169398528 26870364560 27235120640 28937315680 29083218112 29255308160 29938606880 30900919244 31320388736 31505716480 31809769810 32711748160 33071217920 33277913032 34215550720 35405656832 35615157760 36354022640 36847516160 37384855040 37618510384 38031900608 38626149055 39150485920 40957431424 41597391290 42992583296 44257071040 44743412480 46299705088 47023137980 47539875760 47901771008 48185213440 50579509760 50895631696 51196789280 52338797056 53740729120 54076608677 57874631360 58166436224 58510616320 59877213760 61801838488 62640777472 63011432960 63619539620 65423496320 66142435840 66555826064 68431101440 70811313664 72708045280 75237020768 76063801216 77252298110 78300971840 81914862848 83194782580 85985166592 88514142080 89486824960 92599410176 94046275960 95079751520 95803542016 101791263392 102393578560 107481458240 108153217354 115749262720 116332872448 117021232640 119754427520 123603676976 125281554944 127239079240 130846992640 133111652128 145416090560 150474041536 152127602432 154504596220 156601943680 163829725696 166389565160 171970333184 177028284160 188092551920 190159503040 203582526784 204787157120 214962916480 216306434708 231498525440 232665744896 239508855040 247207353952 254478158480 261693985280 266223304256 270383043385 290832181120 300948083072 304255204864 309009192440 313203887360 332779130320 354056568320 376185103840 380319006080 407165053568 409574314240 429925832960 432612869416 462997050880 479017710080 494414707904 508956316960 532446608512 540766086770 581664362240 601896166144 618018384880 626407774720 665558260640 752370207680 760638012160 814330107136 819148628480 859851665920 865225738832 988829415808 1017912633920 1064893217024 1081532173540 1163328724480 1203792332288 1236036769760 1331116521280 1504740415360 1521276024320 1628660214272 1730451477664 1977658831616 2035825267840 2129786434048 2163064347080 2472073539520 2662233042560 3009480830720 3460902955328 3955317663232 4071650535680 4326128694160 4944147079040 5324466085120 6018961661440 6921805910656 8143301071360 8652257388320 9888294158080 10648932170240 13843611821312 17304514776640 19776588316160 27687223642624 34609029553280 69218059106560 138436118213120
- Sum of all divisors σ(n): 456372340300800
- Sum of proper divisors (its aliquot sum) s(n): 317936222087680
- 138436118213120 is an abundant number, because the sum of its proper divisors (317936222087680) is greater than itself. Its abundance is 179500103874560
Bases of 138436118213120
- Binary: 111110111101000001010111010011001110010000000002
- Hexadecimal: 0x7DE82BA67200
- Base-36: 1D2KOAGWE8
Squares and roots of 138436118213120
- 138436118213120 squared (1384361182131202) is 19164558825916934981740134400
- 138436118213120 cubed (1384361182131203) is 2653067131126929046309922274442716643328000
-
The
square root of 138436118213120 is 11765887.9058539395 -
The
cube root of 138436118213120 is 51730.8726203953
Scales and comparisons
How big is 138436118213120?- 138,436,118,213,120 seconds is equal to 4,401,840 years, 18 weeks, 17 hours, 25 minutes, 20 seconds.
-
To count from 1 to 138,436,118,213,120 would take you about eleven million, four thousand, six hundred 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 138436118213120 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138436118213120
- 138436118213120 backwards is 021312811634831
- The number of decimal digits it has is: 15
- The sum of 138436118213120's digits is 44
- More coming soon!
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"Number 138436118213120 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 138436118213120 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138436118213120/
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The information we have on file for 138436118213120 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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