138178142208000
138,178,142,208,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 138178142208000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1020 divisors.
138178142208000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and twenty divisors.
Prime factorization of 138178142208000:
216 × 32 × 53 × 374
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 37 × 37 × 37 × 37)See below for interesting mathematical facts about the number 138178142208000 from the Numbermatics database.
Names of 138178142208000
- Cardinal: 138178142208000 can be written as One hundred thirty-eight trillion, one hundred seventy-eight billion, one hundred forty-two million, two hundred eight thousand.
Scientific notation
- Scientific notation: 1.38178142208 × 1014
Factors of 138178142208000
Divisors of 138178142208000
- Number of divisors d(n): 1020
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 37 40 45 48 50 60 64 72 74 75 80 90 96 100 111 120 125 128 144 148 150 160 180 185 192 200 222 225 240 250 256 288 296 300 320 333 360 370 375 384 400 444 450 480 500 512 555 576 592 600 640 666 720 740 750 768 800 888 900 925 960 1000 1024 1110 1125 1152 1184 1200 1280 1332 1369 1440 1480 1500 1536 1600 1665 1776 1800 1850 1920 2000 2048 2220 2250 2304 2368 2400 2560 2664 2738 2775 2880 2960 3000 3072 3200 3330 3552 3600 3700 3840 4000 4096 4107 4440 4500 4608 4625 4736 4800 5120 5328 5476 5550 5760 5920 6000 6144 6400 6660 6845 7104 7200 7400 7680 8000 8192 8214 8325 8880 9000 9216 9250 9472 9600 10240 10656 10952 11100 11520 11840 12000 12288 12321 12800 13320 13690 13875 14208 14400 14800 15360 16000 16384 16428 16650 17760 18000 18432 18500 18944 19200 20480 20535 21312 21904 22200 23040 23680 24000 24576 24642 25600 26640 27380 27750 28416 28800 29600 30720 32000 32768 32856 33300 34225 35520 36000 36864 37000 37888 38400 40960 41070 41625 42624 43808 44400 46080 47360 48000 49152 49284 50653 51200 53280 54760 55500 56832 57600 59200 61440 61605 64000 65536 65712 66600 68450 71040 72000 73728 74000 75776 76800 81920 82140 83250 85248 87616 88800 92160 94720 96000 98304 98568 101306 102400 102675 106560 109520 111000 113664 115200 118400 122880 123210 128000 131424 133200 136900 142080 144000 147456 148000 151552 151959 153600 163840 164280 166500 170496 171125 175232 177600 184320 189440 192000 196608 197136 202612 204800 205350 213120 219040 222000 227328 230400 236800 245760 246420 253265 256000 262848 266400 273800 284160 288000 294912 296000 303104 303918 307200 308025 327680 328560 333000 340992 342250 350464 355200 368640 378880 384000 394272 405224 409600 410700 426240 438080 444000 454656 455877 460800 473600 491520 492840 506530 512000 513375 525696 532800 547600 568320 576000 589824 592000 606208 607836 614400 616050 657120 666000 681984 684500 700928 710400 737280 757760 759795 768000 788544 810448 819200 821400 852480 876160 888000 909312 911754 921600 947200 983040 985680 1013060 1024000 1026750 1051392 1065600 1095200 1136640 1152000 1184000 1212416 1215672 1228800 1232100 1266325 1314240 1332000 1363968 1369000 1401856 1420800 1474560 1515520 1519590 1536000 1540125 1577088 1620896 1638400 1642800 1704960 1752320 1776000 1818624 1823508 1843200 1874161 1894400 1971360 2026120 2048000 2053500 2102784 2131200 2190400 2273280 2279385 2304000 2368000 2424832 2431344 2457600 2464200 2532650 2628480 2664000 2727936 2738000 2803712 2841600 2949120 3031040 3039180 3072000 3080250 3154176 3241792 3285600 3409920 3504640 3552000 3637248 3647016 3686400 3748322 3788800 3798975 3942720 4052240 4096000 4107000 4205568 4262400 4380800 4546560 4558770 4608000 4736000 4862688 4915200 4928400 5065300 5256960 5328000 5455872 5476000 5607424 5622483 5683200 6062080 6078360 6144000 6160500 6308352 6331625 6483584 6571200 6819840 7009280 7104000 7274496 7294032 7372800 7496644 7577600 7597950 7885440 8104480 8192000 8214000 8411136 8524800 8761600 9093120 9117540 9216000 9370805 9472000 9725376 9856800 10130600 10513920 10656000 10911744 10952000 11214848 11244966 11366400 11396925 12124160 12156720 12288000 12321000 12616704 12663250 12967168 13142400 13639680 14018560 14208000 14588064 14745600 14993288 15155200 15195900 15770880 16208960 16428000 16822272 16867449 17049600 17523200 18186240 18235080 18432000 18741610 18944000 18994875 19450752 19713600 20261200 21027840 21312000 21823488 21904000 22429696 22489932 22732800 22793850 24313440 24576000 24642000 25233408 25326500 25934336 26284800 27279360 28037120 28112415 28416000 29176128 29986576 30310400 30391800 31541760 32417920 32856000 33644544 33734898 34099200 35046400 36372480 36470160 36864000 37483220 37888000 37989750 38901504 39427200 40522400 42055680 42624000 43808000 44859392 44979864 45465600 45587700 46854025 48626880 49284000 50466816 50653000 51868672 52569600 54558720 56074240 56224830 56832000 56984625 58352256 59973152 60620800 60783600 63083520 64835840 65712000 67289088 67469796 68198400 70092800 72940320 73728000 74966440 75776000 75979500 77803008 78854400 81044800 84111360 84337245 85248000 87616000 89718784 89959728 90931200 91175400 93708050 97253760 98568000 100933632 101306000 103737344 105139200 109117440 112148480 112449660 113664000 113969250 116704512 119946304 121567200 126167040 129671680 131424000 134578176 134939592 136396800 140185600 140562075 145880640 149932880 151552000 151959000 155606016 157708800 162089600 168222720 168674490 170496000 175232000 179919456 181862400 182350800 187416100 194507520 197136000 201867264 202612000 207474688 210278400 224296960 224899320 227328000 227938500 233409024 234270125 239892608 243134400 252334080 259343360 262848000 269156352 269879184 272793600 280371200 281124150 291761280 299865760 303104000 303918000 311212032 315417600 324179200 336445440 337348980 340992000 350464000 359838912 364701600 374832200 389015040 394272000 403734528 405224000 414949376 420556800 421686225 448593920 449798640 454656000 455877000 466818048 468540250 479785216 486268800 504668160 518686720 525696000 539758368 545587200 560742400 562248300 583522560 599731520 607836000 622424064 630835200 648358400 672890880 674697960 681984000 700928000 702810375 719677824 729403200 749664400 778030080 788544000 807469056 810448000 829898752 841113600 843372450 899597280 909312000 911754000 933636096 937080500 959570432 972537600 1009336320 1037373440 1051392000 1079516736 1121484800 1124496600 1167045120 1199463040 1215672000 1244848128 1261670400 1296716800 1345781760 1349395920 1363968000 1401856000 1405620750 1439355648 1458806400 1499328800 1556060160 1577088000 1620896000 1659797504 1682227200 1686744900 1799194560 1823508000 1867272192 1874161000 1919140864 1945075200 2018672640 2074746880 2102784000 2108431125 2159033472 2242969600 2248993200 2334090240 2398926080 2431344000 2489696256 2523340800 2593433600 2698791840 2727936000 2803712000 2811241500 2878711296 2917612800 2998657600 3112120320 3154176000 3241792000 3319595008 3364454400 3373489800 3598389120 3647016000 3734544384 3748322000 3838281728 3890150400 4037345280 4149493760 4205568000 4216862250 4318066944 4497986400 4668180480 4797852160 4862688000 4979392512 5046681600 5186867200 5397583680 5607424000 5622483000 5757422592 5835225600 5997315200 6224240640 6308352000 6483584000 6728908800 6746979600 7196778240 7294032000 7469088768 7496644000 7676563456 7780300800 8298987520 8411136000 8433724500 8636133888 8995972800 9336360960 9595704320 9725376000 9958785024 10093363200 10373734400 10795167360 11214848000 11244966000 11514845184 11670451200 11994630400 12448481280 12616704000 12967168000 13493959200 14393556480 14588064000 14938177536 14993288000 15353126912 15560601600 16597975040 16822272000 16867449000 17272267776 17991945600 18672721920 19191408640 19450752000 20186726400 20747468800 21590334720 22489932000 23029690368 23340902400 23989260800 24896962560 25233408000 25934336000 26987918400 28787112960 29176128000 29876355072 29986576000 30706253824 31121203200 33644544000 33734898000 34544535552 35983891200 37345443840 38382817280 38901504000 41494937600 43180669440 44979864000 46059380736 46681804800 47978521600 49793925120 50466816000 51868672000 53975836800 57574225920 58352256000 59973152000 61412507648 62242406400 67469796000 69089071104 71967782400 74690887680 76765634560 77803008000 82989875200 86361338880 89959728000 92118761472 93363609600 95957043200 100933632000 103737344000 107951673600 115148451840 116704512000 119946304000 122825015296 124484812800 134939592000 138178142208 143935564800 149381775360 153531269120 155606016000 172722677760 179919456000 184237522944 186727219200 191914086400 207474688000 215903347200 230296903680 233409024000 239892608000 248969625600 269879184000 276356284416 287871129600 307062538240 311212032000 345445355520 359838912000 368475045888 373454438400 383828172800 414949376000 431806694400 460593807360 466818048000 479785216000 539758368000 552712568832 575742259200 614125076480 622424064000 690890711040 719677824000 746908876800 767656345600 863613388800 921187614720 933636096000 959570432000 1079516736000 1105425137664 1151484518400 1244848128000 1381781422080 1439355648000 1535312691200 1727226777600 1842375229440 1867272192000 1919140864000 2159033472000 2302969036800 2763562844160 2878711296000 3070625382400 3454453555200 3734544384000 3838281728000 4318066944000 4605938073600 5527125688320 5757422592000 6908907110400 7676563456000 8636133888000 9211876147200 11514845184000 13817814220800 15353126912000 17272267776000 23029690368000 27635628441600 34544535552000 46059380736000 69089071104000 138178142208000
- Sum of all divisors σ(n): 512012633337348
- Sum of proper divisors (its aliquot sum) s(n): 373834491129348
- 138178142208000 is an abundant number, because the sum of its proper divisors (373834491129348) is greater than itself. Its abundance is 235656348921348
Bases of 138178142208000
- Binary: 111110110101100000110110001010100000000000000002
- Hexadecimal: 0x7DAC1B150000
- Base-36: 1CZA5U7SW0
Squares and roots of 138178142208000
- 138178142208000 squared (1381781422080002) is 19093198984054271115264000000
- 138178142208000 cubed (1381781422080003) is 2638262764424292198554735751462912000000000
-
The
square root of 138178142208000 is 11754919.9149972943 -
The
cube root of 138178142208000 is 51698.7191084721
Scales and comparisons
How big is 138178142208000?- 138,178,142,208,000 seconds is equal to 4,393,637 years, 26 weeks, 3 days, 8 hours.
-
To count from 1 to 138,178,142,208,000 would take you about ten million, nine hundred eighty-four thousand and ninety-three 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 138178142208000 cubic inches would be around 4308.2 feet tall.
Recreational maths with 138178142208000
- 138178142208000 backwards is 000802241871831
- 138178142208000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138178142208000's digits is 45
- More coming soon!
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The information we have on file for 138178142208000 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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