138423207014400
138,423,207,014,400 is an even composite number composed of seven prime numbers multiplied together.
138423207014400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eight divisors.
Prime factorization of 138423207014400:
212 × 3 × 52 × 7 × 112 × 31 × 1312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 11 × 31 × 131 × 131)See below for interesting mathematical facts about the number 138423207014400 from the Numbermatics database.
Names of 138423207014400
- Cardinal: 138423207014400 can be written as One hundred thirty-eight trillion, four hundred twenty-three billion, two hundred seven million, fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.384232070144 × 1014
Factors of 138423207014400
Divisors of 138423207014400
- Number of divisors d(n): 2808
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 31 32 33 35 40 42 44 48 50 55 56 60 62 64 66 70 75 77 80 84 88 93 96 100 105 110 112 120 121 124 128 131 132 140 150 154 155 160 165 168 175 176 186 192 200 210 217 220 224 231 240 242 248 256 262 264 275 280 300 308 310 320 330 336 341 350 352 363 372 384 385 393 400 420 434 440 448 462 465 480 484 496 512 524 525 528 550 560 600 605 616 620 640 651 655 660 672 682 700 704 726 744 768 770 775 786 800 825 840 847 868 880 896 917 924 930 960 968 992 1023 1024 1048 1050 1056 1085 1100 1120 1155 1200 1210 1232 1240 1280 1302 1310 1320 1344 1364 1400 1408 1441 1452 1488 1536 1540 1550 1572 1600 1650 1680 1694 1705 1736 1760 1792 1815 1834 1848 1860 1920 1925 1936 1965 1984 2046 2048 2096 2100 2112 2170 2200 2240 2310 2325 2387 2400 2420 2464 2480 2541 2560 2604 2620 2640 2688 2728 2751 2800 2816 2882 2904 2976 3025 3072 3080 3100 3144 3200 3255 3275 3300 3360 3388 3410 3472 3520 3584 3630 3668 3696 3720 3751 3840 3850 3872 3930 3968 4061 4092 4096 4192 4200 4224 4235 4323 4340 4400 4480 4585 4620 4650 4774 4800 4840 4928 4960 5082 5115 5120 5208 5240 5280 5376 5425 5456 5502 5600 5632 5764 5775 5808 5952 6050 6144 6160 6200 6288 6400 6510 6550 6600 6720 6776 6820 6944 7040 7161 7168 7205 7260 7336 7392 7440 7502 7680 7700 7744 7860 7936 8122 8184 8384 8400 8448 8470 8525 8646 8680 8800 8960 9075 9170 9240 9300 9548 9600 9680 9825 9856 9920 10087 10164 10230 10240 10416 10480 10560 10752 10850 10912 11004 11200 11253 11264 11528 11550 11616 11904 11935 12100 12183 12288 12320 12400 12576 12705 12800 13020 13100 13200 13440 13552 13640 13755 13888 14080 14322 14336 14410 14520 14672 14784 14880 15004 15360 15400 15488 15720 15851 15872 16244 16275 16368 16768 16800 16896 16940 17050 17161 17292 17360 17600 17920 18150 18340 18480 18600 18755 19096 19200 19360 19650 19712 19840 20174 20305 20328 20460 20480 20832 20960 21120 21175 21504 21615 21700 21824 22008 22400 22506 22528 22925 23056 23100 23232 23808 23870 24200 24366 24640 24800 25152 25410 25575 25600 26040 26200 26257 26400 26880 27104 27280 27510 27776 28160 28427 28644 28672 28820 29040 29344 29568 29760 30008 30261 30720 30800 30976 31440 31702 31744 32488 32550 32736 33536 33600 33792 33880 34100 34322 34584 34720 35200 35805 35840 36025 36300 36680 36960 37200 37510 38192 38400 38720 39300 39424 39680 40348 40610 40656 40920 41664 41920 42240 42350 43008 43230 43400 43648 44016 44671 44800 45012 45056 45850 46112 46200 46464 47553 47616 47740 48400 48732 49280 49600 50304 50435 50820 51150 51200 51483 52080 52400 52514 52800 53760 54208 54560 55020 55552 56265 56320 56854 57288 57640 58080 58688 59136 59520 59675 60016 60522 60915 61440 61600 61952 62880 63404 63488 63525 64976 65100 65472 67072 67200 67584 67760 68200 68644 68775 69168 69440 70400 71610 71680 72050 72600 73360 73920 74400 75020 76384 76800 77440 78600 78771 78848 79255 79360 80696 81220 81312 81840 83328 83840 84480 84700 85281 85805 86016 86460 86800 87296 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13618969600 13722931200 13953952320 14044562400 14088876032 14299918080 14419084064 14497612800 14884215808 14980866560 15095224320 15253245952 15449018640 15729909888 15947374080 16010086400 16237326336 16342763520 16385322800 16478953216 16510401600 16913881600 17042995200 17442440400 17611095040 17874897600 17977039872 18023855080 18451507200 18605269760 18726083200 18869030400 19066557440 19212103680 19311273300 19330150400 19662387360 19934217600 20296657920 20428454400 20598691520 20973213184 21133314048 21263165440 21628626096 22013868800 22326323712 22471299840 22529818850 22879868928 23256587200 23833196800 23969386496 24015129600 24577984200 24718429824 25158707200 25370822400 25515798528 25748364400 26216516480 26416642560 26578956800 27035782620 27062210560 27237939200 27907904640 28089124800 28599836160 28838168128 28995225600 29768431616 29961733120 30190448640 30898037280 31459819776 31894748160 32020172800 32685527040 32770645600 32957906432 33020803200 33794728275 33827763200 34085990400 34884880800 35222190080 35749795200 35954079744 36047710160 36903014400 37210539520 37452166400 37738060800 38133114880 38622546600 39324774720 39868435200 40593315840 40856908800 41197383040 41946426368 42266628096 42526330880 43257252192 44027737600 44652647424 44942599680 45059637700 45759737856 46513174400 47666393600 48030259200 49155968400 49436859648 50317414400 50741644800 51496728800 52433032960 52833285120 53157913600 54071565240 54475878400 55815809280 56178249600 57199672320 57676336256 57990451200 59536863232 59923466240 61796074560 62919639552 63789496320 65541291200 65915812864 66041606400 67589456550 67655526400 69769761600 70444380160 71499590400 71908159488 72095420320 74421079040 74904332800 75476121600 76266229760 77245093200 78649549440 79736870400 81186631680 81713817600 82394766080 83892852736 86514504384 88055475200 89305294848 89885199360 90119275400 93026348800 95332787200 96060518400 98311936800 98873719296 101483289600 102993457600 104866065920 105666570240 106315827200 108143130480 111631618560 112356499200 114399344640 115352672512 119846932480 123592149120 125839279104 127578992640 131082582400 131831625728 132083212800 135178913100 135311052800 139539523200 142999180800 144190840640 148842158080 149808665600 150952243200 154490186400 157299098880 159473740800 163427635200 164789532160 167785705472 173029008768 176110950400 178610589696 179770398720 180238550800 186052697600 190665574400 196623873600 197747438592 202966579200 205986915200 209732131840 211333140480 212631654400 216286260960 223263237120 224712998400 228798689280 230705345024 247184298240 251678558208 262165164800 263663251456 264166425600 270357826200 279079046400 285998361600 288381681280 297684316160 299617331200 308980372800 314598197760 318947481600 329579064320 346058017536 352221900800 359540797440 360477101600 372105395200 381331148800 393247747200 395494877184 405933158400 411973830400 419464263680 432572521920 446526474240 449425996800 461410690048 494368596480 503357116416 524330329600 528332851200 540715652400 558158092800 571996723200 576763362560 599234662400 617960745600 629196395520 637894963200 659158128640 692116035072 720954203200 744210790400 786495494400 790989754368 823947660800 838928527360 865145043840 893052948480 898851993600 922821380096 988737192960 1048660659200 1056665702400 1081431304800 1116316185600 1143993446400 1153526725120 1235921491200 1258392791040 1318316257280 1384232070144 1441908406400 1488421580800 1572990988800 1647895321600 1730290087680 1797703987200 1845642760192 1977474385920 2097321318400 2162862609600 2232632371200 2307053450240 2471842982400 2516785582080 2768464140288 2883816812800 3145981977600 3295790643200 3460580175360 3954948771840 4194642636800 4325725219200 4465264742400 4614106900480 4943685964800 5536928280576 5767633625600 6291963955200 6591581286400 6921160350720 8651450438400 9228213800960 9887371929600 11535267251200 12583927910400 13842320701440 17302900876800 19774743859200 23070534502400 27684641402880 34605801753600 46141069004800 69211603507200 138423207014400
- Sum of all divisors σ(n): 598026678731776
- Sum of proper divisors (its aliquot sum) s(n): 459603471717376
- 138423207014400 is an abundant number, because the sum of its proper divisors (459603471717376) is greater than itself. Its abundance is 321180264702976
Bases of 138423207014400
- Binary: 111110111100101001010100001010100110000000000002
- Hexadecimal: 0x7DE52A153000
- Base-36: 1D2EQRH3PC
Squares and roots of 138423207014400
- 138423207014400 squared (1384232070144002) is 19160984240151437361807360000
- 138423207014400 cubed (1384232070144003) is 2652324888074138298339174785413545984000000
-
The
square root of 138423207014400 is 11765339.2222408955 -
The
cube root of 138423207014400 is 51729.2643494949
Scales and comparisons
How big is 138423207014400?- 138,423,207,014,400 seconds is equal to 4,401,429 years, 42 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 138,423,207,014,400 would take you about eleven million, three thousand, five hundred seventy-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 138423207014400 cubic inches would be around 4310.8 feet tall.
Recreational maths with 138423207014400
- 138423207014400 backwards is 004410702324831
- The number of decimal digits it has is: 15
- The sum of 138423207014400's digits is 39
- More coming soon!
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"Number 138423207014400 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 138423207014400 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138423207014400/
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The information we have on file for 138423207014400 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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