138073435344000
138,073,435,344,000 is an even composite number composed of six prime numbers multiplied together.
138073435344000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138073435344000:
27 × 32 × 53 × 133 × 607 × 719
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 607 × 719)See below for interesting mathematical facts about the number 138073435344000 from the Numbermatics database.
Names of 138073435344000
- Cardinal: 138073435344000 can be written as One hundred thirty-eight trillion, seventy-three billion, four hundred thirty-five million, three hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38073435344 × 1014
Factors of 138073435344000
Divisors of 138073435344000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 169 180 192 195 200 208 225 234 240 250 260 288 300 312 320 325 338 360 375 384 390 400 416 450 468 480 500 507 520 576 585 600 607 624 640 650 676 719 720 750 780 800 832 845 900 936 960 975 1000 1014 1040 1125 1152 1170 1200 1214 1248 1300 1352 1438 1440 1500 1521 1560 1600 1625 1664 1690 1800 1821 1872 1920 1950 2000 2028 2080 2157 2197 2250 2340 2400 2428 2496 2535 2600 2704 2876 2880 2925 3000 3035 3042 3120 3200 3250 3380 3595 3600 3642 3744 3900 4000 4056 4160 4225 4314 4394 4500 4680 4800 4856 4875 4992 5070 5200 5408 5463 5752 5760 5850 6000 6070 6084 6240 6471 6500 6591 6760 7190 7200 7284 7488 7605 7800 7891 8000 8112 8320 8450 8628 8788 9000 9105 9347 9360 9600 9712 9750 10140 10400 10785 10816 10926 10985 11504 11700 12000 12140 12168 12480 12675 12942 13000 13182 13520 14380 14400 14568 14625 14976 15175 15210 15600 15782 16000 16224 16900 17256 17576 17975 18000 18210 18694 18720 19424 19500 19773 20280 20800 21125 21570 21632 21852 21970 23008 23400 23673 24000 24280 24336 24960 25350 25884 26000 26364 27040 27315 28041 28760 28800 29136 29250 30350 30420 31200 31564 32355 32448 32955 33800 34512 35152 35950 36000 36420 37388 37440 38025 38848 39000 39455 39546 40560 41600 42250 43140 43704 43940 45525 46016 46735 46800 47346 48000 48560 48672 50700 51768 52000 52728 53925 54080 54630 54925 56082 57520 58272 58500 60700 60840 62400 63128 63375 64710 64896 65910 67600 69024 70304 71019 71900 72000 72840 74776 74880 75875 76050 77696 78000 78910 79092 81120 84123 84500 86280 87408 87880 89875 91050 92032 93470 93600 94692 97120 97344 98865 101400 102583 103536 104000 105456 107850 108160 109260 109850 112164 115040 116544 117000 118365 121400 121511 121680 124800 126256 126750 129420 131820 135200 136575 138048 140205 140608 142038 143800 144000 145680 149552 151750 152100 156000 157820 158184 161775 162240 164775 168246 169000 172560 174816 175760 179750 182100 186940 187200 189384 190125 194240 194688 197275 197730 202800 205166 207072 208000 210912 215700 218520 219700 224328 227625 230080 233088 233675 234000 236730 242800 243022 243360 252512 253500 258840 263640 269625 270400 273150 274625 276096 280410 281216 284076 287600 291360 299104 303500 304200 307749 312000 315640 316368 323550 324480 329550 336492 338000 345120 349632 351520 355095 359500 364200 364533 373880 374400 378768 380250 388480 394550 395460 405600 410332 414144 420615 421824 431400 436433 437040 439400 448656 455250 460160 467350 468000 473460 485600 486044 486720 494325 505024 507000 512915 517680 527280 539250 540800 546300 549250 560820 568152 575200 582720 591825 598208 607000 607555 608400 615498 624000 631280 632736 647100 659100 672984 676000 682875 690240 699264 701025 703040 710190 719000 728400 729066 747760 757536 760500 789100 790920 808875 811200 820664 823875 828288 841230 843648 862800 872866 874080 878800 897312 910500 923247 934700 936000 946920 971200 972088 973440 986375 988650 1010048 1014000 1025830 1035360 1054560 1078500 1092600 1093599 1098500 1121640 1136304 1150400 1165440 1168375 1183650 1196416 1214000 1215110 1216800 1230996 1262560 1265472 1294200 1309299 1318200 1333579 1345968 1352000 1365750 1380480 1402050 1406080 1420380 1438000 1456800 1458132 1495520 1515072 1521000 1538745 1578200 1579643 1581840 1617750 1622400 1641328 1647750 1682460 1725600 1745732 1748160 1757600 1775475 1794624 1821000 1822665 1846494 1869400 1872000 1893840 1942400 1944176 1972750 1977300 2028000 2051660 2070720 2103075 2109120 2157000 2182165 2185200 2187198 2197000 2243280 2272608 2300800 2336750 2367300 2428000 2430220 2433600 2461992 2471625 2525120 2530944 2564575 2588400 2618598 2636400 2667158 2691936 2704000 2731500 2804100 2840760 2876000 2913600 2916264 2959125 2991040 3030144 3037775 3042000 3077490 3156400 3159286 3163680 3235500 3282656 3295500 3364920 3451200 3491464 3496320 3505125 3515200 3550950 3589248 3642000 3645330 3692988 3738800 3787680 3888352 3927897 3945500 3954600 4000737 4056000 4103320 4141440 4206150 4218240 4314000 4364330 4370400 4374396 4394000 4486560 4545216 4616235 4673500 4734600 4738929 4856000 4860440 4867200 4923984 4943250 5050240 5129150 5176800 5237196 5272800 5334316 5383872 5463000 5467995 5608200 5673629 5681520 5752000 5827200 5832528 5918250 5982080 6075550 6084000 6154980 6312800 6318572 6327360 6471000 6546495 6565312 6591000 6667895 6729840 6902400 6982928 7010250 7030400 7101900 7284000 7290660 7385976 7477600 7575360 7693725 7776704 7855794 7891000 7898215 7909200 8001474 8112000 8206640 8412300 8628000 8728660 8740800 8748792 8788000 8877375 8973120 9090432 9113325 9232470 9347000 9469200 9477858 9712000 9720880 9847968 9886500 10258300 10353600 10474392 10515375 10545600 10668632 10767744 10910825 10926000 10935990 11216400 11347258 11363040 11504000 11665056 11836500 12002211 12151100 12168000 12309960 12625600 12637144 12654720 12822875 12942000 13092990 13130624 13182000 13335790 13459680 13965856 14020500 14203800 14216787 14568000 14581320 14771952 14955200 15150720 15188875 15387450 15553408 15711588 15782000 15796430 15818400 16002948 16413280 16824600 17020887 17256000 17457320 17481600 17497584 17576000 17754750 17946240 18226650 18464940 18694000 18938400 18955716 19441760 19639485 19695936 19773000 20003685 20516600 20707200 20948784 21030750 21091200 21337264 21821650 21852000 21871980 22432800 22694516 22726080 23081175 23330112 23673000 23694645 24004422 24302200 24336000 24619920 25251200 25274288 25645750 25884000 26185980 26364000 26671580 26919360 27339975 27931712 28041000 28368145 28407600 28433574 29136000 29162640 29543904 29910400 30377750 30774900 31423176 31564000 31592860 31636800 32005896 32732475 32826560 33339475 33649200 34041774 34512000 34914640 34995168 35152000 35509500 36453300 36929880 37388000 37876800 37911432 38468625 38883520 39278970 39391872 39491075 39546000 40007370 41033200 41897568 42061500 42674528 43643300 43704000 43743960 44865600 45389032 45452160 45566625 46162350 46660224 47346000 47389290 48008844 48604400 49239840 50548576 51062661 51291500 51768000 52371960 52728000 53343160 53838720 54554125 54679950 55863424 56082000 56736290 56815200 56867148 58325280 59087808 60011055 60755500 61549800 62846352 63128000 63185720 63273600 64011792 65464950 65653120 66678950 67298400 68083548 69829280 69990336 71019000 71083935 72906600 73757177 73859760 74776000 75753600 75822864 76937250 77767040 78557940 78982150 79092000 80014740 82066400 83795136 84123000 85104435 85349056 87286600 87408000 87487920 89731200 90778064 91133250 92324700 94692000 94778580 96017688 97208800 98197425 98479680 100018425 101097152 102125322 102583000 103536000 104743920 105456000 106686320 109108250 109359900 112164000 113472580 113630400 113734296 115405875 116650560 118175616 118473225 120022110 121511000 123099600 125692704 126256000 126371440 128023584 130929900 133357900 134596800 136167096 136699875 139658560 139980672 141840725 142038000 142167870 145813200 147514354 147719520 149552000 151645728 153874500 157115880 157964300 158184000 160029480 163662375 164132800 166697375 167590272 168246000 170208870 170698112 174573200 174975840 181556128 182266500 184649400 189384000 189557160 192035376 194417600 196394850 196959360 197455375 200036850 202194304 204250644 205166000 209487840 213372640 218216500 218719800 221271531 224328000 226945160 227260800 227468592 230811750 233301120 236946450 240044220 243022000 246199200 251385408 252742880 255313305 256047168 261859800 266715800 269193600 272334192 273399750 279317120 283681450 284076000 284335740 291626400 295028708 295439040 300055275 303291456 307749000 314231760 315928600 316368000 320058960 327324750 328265600 333394750 336492000 340417740 349146400 349951680 355419675 363112256 364533000 368785885 369298800 378768000 379114320 384070752 388835200 392789700 394910750 400073700 408501288 410332000 418975680 425522175 426745280 436433000 437439600 442543062 448656000 453890320 454937184 461623500 473892900 480088440 486044000 490987125 492398400 500092125 502770816 505485760 510626610 512094336 523719600 533431600 544668384 546799500 567362900 568152000 568671480 583252800 590057416 590878080 592366125 600110550 606582912 615498000 628463520 631857200 640117920 654649500 663814593 666789500 672984000 680835480 698292800 699903360 709203625 710839350 726224512 729066000 737571770 738597600 758228640 768141504 785579400 789821500 800147400 817002576 820664000 837951360 851044350 853490560 872866000 874879200 885086124 907780640 909874368 923247000 947785800 958843301 960176880 972088000 981974250 984796800 1000184250 1010971520 1021253220 1047439200 1066863200 1089336768 1093599000 1106357655 1134725800 1136304000 1137342960 1166505600 1180114832 1184732250 1200221100 1230996000 1256927040 1263714400 1276566525 1280235840 1309299000 1327629186 1333579000 1345968000 1361670960 1396585600 1418407250 1421678700 1458132000 1475143540 1477195200 1500276375 1516457280 1536283008 1571158800 1579643000 1600294800 1634005152 1641328000 1702088700 1745732000 1749758400 1770172248 1777098375 1815561280 1819748736 1843929425 1846494000 1895571600 1917686602 1920353760 1944176000 1963948500 2000368500 2042506440 2094878400 2127610875 2133726400 2178673536 2187198000 2212715310 2269451600 2274685920 2360229664 2369464500 2400442200 2461992000 2513854080 2527428800 2553133050 2560471680 2618598000 2655258372 2667158000 2723341920 2836814500 2843357400 2876529903 2916264000 2950287080 2954390400 3000552750 3032914560 3142317600 3159286000 3200589600 3268010304 3319072965 3404177400 3491464000 3499516800 3540344496 3554196750 3631122560 3687858850 3692988000 3791143200 3835373204 3840707520 3927897000 4000737000 4085012880 4189756800 4255221750 4267452800 4374396000 4425430620 4538903200 4549371840 4720459328 4738929000 4794216505 4800884400 4923984000 5054857600 5106266100 5237196000 5310516744 5334316000 5446683840 5531788275 5673629000 5686714800 5753059806 5832528000 5900574160 6001105500 6284635200 6318572000 6382832625 6401179200 6536020608 6638145930 6808354800 6982928000 7080688992 7108393500 7375717700 7385976000 7582286400 7670746408 7681415040 7855794000 8001474000 8170025760 8510443500 8629589709 8748792000 8850861240 9077806400 9098743680 9219647125 9440918656 9477858000 9588433010 9601768800 10212532200 10474392000 10621033488 10668632000 10893367680 11063576550 11347258000 11373429600 11506119612 11801148320 12002211000 12569270400 12637144000 12765665250 12802358400 13276291860 13616709600 14161377984 14216787000 14382649515 14751435400 14771952000 15164572800 15341492816 15711588000 16002948000 16340051520 16595364825 17020887000 17259179418 17497584000 17701722480 18155612800 18439294250 18955716000 19176866020 19203537600 20425064400 20948784000 21242066976 21337264000 22127153100 22694516000 22746859200 23012239224 23602296640 23971082525 24004422000 25274288000 25531330500 26552583720 27233419200 27658941375 28322755968 28433574000 28765299030 29502870800 30682985632 31423176000 32005896000 32680103040 33190729650 34041774000 34518358836 35403444960 36878588500 37911432000 38353732040 38407075200 40850128800 42484133952 43147948545 44254306200 45389032000 45493718400 46024478448 47204593280 47942165050 48008844000 51062661000 53105167440 54466838400 55317882750 56867148000 57530598060 59005741600 61365971264 62846352000 64011792000 66381459300 68083548000 69036717672 70806889920 71913247575 73757177000 75822864000 76707464080 81700257600 82976824125 84968267904 86295897090 88508612400 90778064000 92048956896 95884330100 96017688000 102125322000 106210334880 110635765500 113734296000 115061196120 118011483200 119855412625 122731942528 132762918600 136167096000 138073435344 141613779840 143826495150 147514354000 153414928160 163400515200 165953648250 172591794180 177017224800 184097913792 191768660200 192035376000 204250644000 212420669760 215739742725 221271531000 227468592000 230122392240 236022966400 239710825250 265525837200 272334192000 276146870688 287652990300 295028708000 306829856320 331907296500 345183588360 354034449600 359566237875 368195827584 383537320400 408501288000 424841339520 431479485450 442543062000 460244784480 479421650500 531051674400 552293741376 575305980600 590057416000 613659712640 663814593000 690367176720 708068899200 719132475750 767074640800 817002576000 862958970900 885086124000 920489568960 958843301000 1062103348800 1078698713625 1104587482752 1150611961200 1180114832000 1327629186000 1380734353440 1438264951500 1534149281600 1725917941800 1770172248000 1840979137920 1917686602000 2124206697600 2157397427250 2301223922400 2655258372000 2761468706880 2876529903000 3068298563200 3451835883600 3540344496000 3835373204000 4314794854500 4602447844800 5310516744000 5522937413760 5753059806000 6903671767200 7670746408000 8629589709000 9204895689600 10621033488000 11506119612000 13807343534400 15341492816000 17259179418000 23012239224000 27614687068800 34518358836000 46024478448000 69036717672000 138073435344000
- Sum of all divisors σ(n): 538792031232000
- Sum of proper divisors (its aliquot sum) s(n): 400718595888000
- 138073435344000 is an abundant number, because the sum of its proper divisors (400718595888000) is greater than itself. Its abundance is 262645160544000
Bases of 138073435344000
- Binary: 111110110010011101110100001000100001100100000002
- Hexadecimal: 0x7D93BA110C80
- Base-36: 1CXY26GBK0
Squares and roots of 138073435344000
- 138073435344000 squared (1380734353440002) is 19064273547693748398336000000
- 138073435344000 cubed (1380734353440003) is 2632269741067822269790649253187584000000000
-
The
square root of 138073435344000 is 11750465.3245733209 -
The
cube root of 138073435344000 is 51685.6572774235
Scales and comparisons
How big is 138073435344000?- 138,073,435,344,000 seconds is equal to 4,390,308 years, 8 weeks, 8 hours.
-
To count from 1 to 138,073,435,344,000 would take you about ten million, nine hundred seventy-five thousand, seven hundred seventy 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 138073435344000 cubic inches would be around 4307.1 feet tall.
Recreational maths with 138073435344000
- 138073435344000 backwards is 000443534370831
- 138073435344000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138073435344000's digits is 45
- More coming soon!
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The information we have on file for 138073435344000 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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