138006026699520
138,006,026,699,520 is an even composite number composed of seven prime numbers multiplied together.
138006026699520 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138006026699520:
28 × 3 × 5 × 72 × 17 × 294 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 17 × 29 × 29 × 29 × 29 × 61)See below for interesting mathematical facts about the number 138006026699520 from the Numbermatics database.
Names of 138006026699520
- Cardinal: 138006026699520 can be written as One hundred thirty-eight trillion, six billion, twenty-six million, six hundred ninety-nine thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3800602669952 × 1014
Factors of 138006026699520
Divisors of 138006026699520
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 29 30 32 34 35 40 42 48 49 51 56 58 60 61 64 68 70 80 84 85 87 96 98 102 105 112 116 119 120 122 128 136 140 145 147 160 168 170 174 183 192 196 203 204 210 224 232 238 240 244 245 255 256 272 280 290 294 305 320 336 340 348 357 366 384 392 406 408 420 427 435 448 464 476 480 488 490 493 510 544 560 580 588 595 609 610 640 672 680 696 714 732 735 768 784 812 816 833 840 841 854 870 896 915 928 952 960 976 980 986 1015 1020 1037 1088 1120 1160 1176 1190 1218 1220 1280 1281 1344 1360 1392 1421 1428 1464 1470 1479 1568 1624 1632 1666 1680 1682 1708 1740 1769 1785 1792 1830 1856 1904 1920 1952 1960 1972 2030 2040 2074 2135 2176 2240 2320 2352 2380 2436 2440 2465 2499 2523 2562 2688 2720 2784 2842 2856 2928 2940 2958 2989 3045 3111 3136 3248 3264 3332 3360 3364 3416 3451 3480 3538 3570 3660 3712 3808 3840 3904 3920 3944 4060 4080 4148 4165 4205 4263 4270 4352 4480 4640 4704 4760 4872 4880 4930 4998 5046 5124 5185 5307 5376 5440 5568 5684 5712 5856 5880 5887 5916 5978 6090 6222 6272 6405 6496 6528 6664 6720 6728 6832 6902 6960 7076 7105 7140 7259 7320 7395 7424 7616 7808 7840 7888 8120 8160 8296 8330 8410 8526 8540 8845 8960 8967 9280 9408 9520 9744 9760 9860 9996 10092 10248 10353 10370 10614 10880 11136 11368 11424 11712 11760 11774 11832 11956 12180 12383 12444 12495 12544 12615 12810 12992 13056 13328 13440 13456 13664 13804 13920 14152 14210 14280 14297 14518 14640 14790 14945 15232 15555 15616 15680 15776 16240 16320 16592 16660 16820 17052 17080 17255 17661 17690 17934 18560 18816 19040 19488 19520 19720 19992 20184 20496 20706 20740 21228 21315 21760 21777 22272 22736 22848 23424 23520 23548 23664 23912 24157 24360 24389 24766 24888 24990 25230 25620 25984 26535 26656 26880 26912 27328 27608 27840 28304 28420 28560 28594 29036 29280 29435 29580 29890 30073 30464 31110 31360 31552 32480 32640 33184 33320 33640 34104 34160 34510 35322 35380 35868 36295 37120 37149 37632 38080 38976 39040 39440 39984 40368 40992 41209 41412 41480 42456 42630 42891 43554 44835 45472 45696 46848 47040 47096 47328 47824 48314 48720 48778 49532 49776 49980 50460 50813 51240 51301 51765 51968 53070 53312 53824 54656 55216 55680 56608 56840 57120 57188 58072 58560 58870 59160 59780 60146 61915 62220 62720 63104 64960 65280 66368 66640 67280 68208 68320 69020 70644 70760 71485 71736 72471 72590 73167 74298 76160 77952 78080 78880 79968 80736 81984 82418 82824 82960 84912 85260 85782 86681 87108 88305 89670 90219 90944 91392 94080 94192 94656 95648 96628 97440 97556 99064 99552 99960 100079 100920 101626 102480 102602 103530 106140 106624 107648 108885 109312 110432 111360 113216 113680 114240 114376 116144 117120 117740 118320 119560 120292 120785 121945 123627 123830 124440 126208 129920 132736 133280 134560 136416 136640 138040 141288 141520 142970 143472 144942 145180 146334 148596 150365 152320 152439 153903 155904 157760 159936 161472 163968 164836 165648 165920 169824 170520 170723 171564 173362 174216 176610 179340 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2186961630 2200351191 2218033216 2228959488 2294517120 2308565184 2332759072 2344250496 2356660292 2376464160 2413199040 2416071896 2427973728 2437924440 2478556514 2499384720 2524993170 2564023980 2588648460 2600452736 2655596265 2666010368 2690123520 2693326048 2715959040 2734958912 2761225024 2772541520 2786199360 2829267840 2832636016 2856439680 2885706480 2915948840 2930313120 2933801588 2945825365 3020089870 3034967160 3078086912 3168618880 3217598720 3237298304 3250565920 3327049824 3332512960 3348929280 3366657560 3418698640 3451531280 3499138608 3534990438 3540795020 3624107844 3667251985 3714932480 3717834771 3802342656 3847608640 3900679104 3907084160 3999015552 4039989072 4046622880 4102438368 4141837536 4158812280 4228125818 4248954024 4373923260 4400702382 4436066432 4530134805 4589034240 4617130368 4665518144 4688500992 4713320584 4752928320 4826398080 4832143792 4855947456 4875848880 4957113028 4998769440 5049986340 5128047960 5134152779 5177296920 5200905472 5311192530 5386652096 5469917824 5522450048 5545083040 5572398720 5658535680 5665272032 5712879360 5771412960 5831897680 5860626240 5867603176 5891650730 6040179740 6069934320 6196391285 6337237760 6342188727 6474596608 6501131840 6654099648 6665025920 6733315120 6837397280 6903062560 6998277216 7069980876 7081590040 7248215688 7334503970 7435669542 7695217280 7801358208 7814168320 7998031104 8079978144 8093245760 8204876736 8283675072 8317624560 8456251636 8497908048 8747846520 8801404764 8837476095 8872132864 9060269610 9234260736 9331036288 9426641168 9505856640 9652796160 9664287584 9711894912 9751697760 9914226056 9997538880 10099972680 10256095920 10268305558 10354593840 10570314545 10622385060 10773304192 10939835648 11001755955 11044900096 11090166080 11144797440 11330544064 11542825920 11663795360 11721252480 11735206352 11783301460 12080359480 12139868640 12392782570 12684377454 13002263680 13308199296 13330051840 13466630240 13674794560 13806125120 13996554432 14139961752 14163180080 14496431376 14669007940 14871339084 15390434560 15402458337 15602716416 16159956288 16186491520 16409753472 16567350144 16635249120 16912503272 16995816096 17495693040 17602809528 17674952190 18120539220 18589173855 18662072576 18853282336 19011713280 19328575168 19423789824 19503395520 19828452112 19995077760 20199945360 20512191840 20536611116 20709187680 21140629090 21244770120 21546608384 22003511910 22180332160 22661088128 23085651840 23327590720 23442504960 23470412704 23566602920 24160718960 24279737280 24785565140 25368754908 25670763895 26004527360 26616398592 26933260480 27349589120 27612250240 27993108864 28279923504 28326360160 28992862752 29338015880 29742678168 30804916674 31710943635 32319912576 32372983040 32819506944 33134700288 33270498240 33825006544 33991632192 34991386080 35205619056 35349904380 35939069453 36241078440 37178347710 37706564672 38657150336 39006791040 39656904224 39990155520 40399890720 41024383680 41073222232 41418375360 42281258180 42489540240 44007023820 44360664320 45322176256 46171303680 46655181440 46940825408 47133205840 48321437920 48559474560 49571130280 50737509816 51341527790 53866520960 54699178240 55224500480 55986217728 56559847008 56652720320 57985725504 58676031760 59485356336 61609833348 63421887270 64639825152 66540996480 67650013088 67983264384 69982772160 70411238112 70699808760 71878138906 72482156880 74356695420 75413129344 77012291685 77314300672 78013582080 79313808448 80799781440 82048767360 82146444464 82836750720 84562516360 84979080480 88014047640 93310362880 93881650816 94266411680 96642875840 97118949120 99142260560 101475019632 102683055580 107733041920 107817208359 113119694016 113305440640 115971451008 117352063520 118970712672 123219666696 126843774540 133081992960 135300026176 135966528768 139965544320 140822476224 141399617520 143756277812 144964313760 148713390840 150826258688 154024583370 158627616896 161599562880 164097534720 164292888928 165673501440 169125032720 169958160960 176028095280 179695347265 187763301632 188532823360 193285751680 198284521120 202950039264 205366111160 215634416718 226239388032 226610881280 231942902016 234704127040 237941425344 246439333392 253687549080 270600052352 279931088640 281644952448 282799235040 287512555624 289928627520 297426781680 308049166740 317255233792 323199125760 328585777856 338250065440 339916321920 352056190560 359390694530 377065646720 386571503360 396569042240 405900078528 410732222320 431268833436 452478776064 469408254080 475882850688 492878666784 507375098160 539086041795 541200104704 563289904896 565598470080 575025111248 579857255040 594853563360 616098333480 657171555712 676500130880 679832643840 704112381120 718781389060 754131293440 793138084480 811800157056 821464444640 862537666872 938816508160 951765701376 985757333568 1014750196320 1078172083590 1131196940160 1150050222496 1159714510080 1189707126720 1232196666960 1314343111424 1353000261760 1408224762240 1437562778120 1586276168960 1623600314112 1642928889280 1725075333744 1971514667136 2029500392640 2156344167180 2262393880320 2300100444992 2379414253440 2464393333920 2706000523520 2816449524480 2875125556240 3285857778560 3450150667488 3943029334272 4059000785280 4312688334360 4600200889984 4758828506880 4928786667840 5750251112480 6571715557120 6900301334976 8118001570560 8625376668720 9200401779968 9857573335680 11500502224960 13800602669952 17250753337440 19715146671360 23001004449920 27601205339904 34501506674880 46002008899840 69003013349760 138006026699520
- Sum of all divisors σ(n): 571482754200288
- Sum of proper divisors (its aliquot sum) s(n): 433476727500768
- 138006026699520 is an abundant number, because the sum of its proper divisors (433476727500768) is greater than itself. Its abundance is 295470700801248
Bases of 138006026699520
- Binary: 111110110000100000010000011001011000011000000002
- Hexadecimal: 0x7D840832C300
- Base-36: 1CX33D34LC
Squares and roots of 138006026699520
- 138006026699520 squared (1380060266995202) is 19045663405388627104368230400
- 138006026699520 cubed (1380060266995203) is 2628416332434133877607199150204054929408000
-
The
square root of 138006026699520 is 11747596.6350364617 -
The
cube root of 138006026699520 is 51677.2447800591
Scales and comparisons
How big is 138006026699520?- 138,006,026,699,520 seconds is equal to 4,388,164 years, 39 weeks, 6 days, 16 hours, 32 minutes.
-
To count from 1 to 138,006,026,699,520 would take you about ten million, nine hundred seventy thousand, four hundred eleven 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 138006026699520 cubic inches would be around 4306.4 feet tall.
Recreational maths with 138006026699520
- 138006026699520 backwards is 025996620600831
- The number of decimal digits it has is: 15
- The sum of 138006026699520's digits is 57
- More coming soon!
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MLA style:
"Number 138006026699520 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138006026699520 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138006026699520/
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Numbermatics. 2024. "Number 138006026699520 - Facts about the integer". https://numbermatics.com/n/138006026699520/
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