138539376228528000
138,539,376,228,528,000 is an even composite number composed of five prime numbers multiplied together.
138539376228528000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138539376228528000:
27 × 34 × 53 × 11 × 9717969713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 9717969713)See below for interesting mathematical facts about the number 138539376228528000 from the Numbermatics database.
Names of 138539376228528000
- Cardinal: 138539376228528000 can be written as One hundred thirty-eight quadrillion, five hundred thirty-nine trillion, three hundred seventy-six billion, two hundred twenty-eight million, five hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38539376228528 × 1017
Factors of 138539376228528000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 9717969734
Divisors of 138539376228528000
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 125 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 250 264 270 275 288 297 300 320 324 330 352 360 375 384 396 400 405 432 440 450 480 495 500 528 540 550 576 594 600 640 648 660 675 704 720 750 792 800 810 825 864 880 891 900 960 990 1000 1056 1080 1100 1125 1152 1188 1200 1296 1320 1350 1375 1408 1440 1485 1500 1584 1600 1620 1650 1728 1760 1782 1800 1920 1980 2000 2025 2112 2160 2200 2250 2376 2400 2475 2592 2640 2700 2750 2880 2970 3000 3168 3200 3240 3300 3375 3456 3520 3564 3600 3960 4000 4050 4125 4224 4320 4400 4455 4500 4752 4800 4950 5184 5280 5400 5500 5760 5940 6000 6336 6480 6600 6750 7040 7128 7200 7425 7920 8000 8100 8250 8640 8800 8910 9000 9504 9600 9900 10125 10368 10560 10800 11000 11880 12000 12375 12672 12960 13200 13500 14256 14400 14850 15840 16000 16200 16500 17280 17600 17820 18000 19008 19800 20250 21120 21600 22000 22275 23760 24000 24750 25920 26400 27000 28512 28800 29700 31680 32400 33000 35200 35640 36000 37125 38016 39600 40500 43200 44000 44550 47520 48000 49500 51840 52800 54000 57024 59400 63360 64800 66000 71280 72000 74250 79200 81000 86400 88000 89100 95040 99000 105600 108000 111375 114048 118800 129600 132000 142560 144000 148500 158400 162000 176000 178200 190080 198000 216000 222750 237600 259200 264000 285120 297000 316800 324000 356400 396000 432000 445500 475200 528000 570240 594000 648000 712800 792000 891000 950400 1188000 1296000 1425600 1584000 1782000 2376000 2851200 3564000 4752000 7128000 14256000 9717969713 19435939426 29153909139 38871878852 48589848565 58307818278 77743757704 87461727417 97179697130 106897666843 116615636556 145769545695 155487515408 174923454834 194359394260 213795333686 233231273112 242949242825 262385182251 291539091390 310975030816 320693000529 349846909668 388718788520 427590667372 437308637085 466462546224 485898485650 524770364502 534488334215 583078182780 621950061632 641386001058 699693819336 728847728475 777437577040 787155546753 855181334744 874617274170 932925092448 962079001587 971796971300 1049540729004 1068976668430 1166156365560 1214746214125 1243900123264 1282772002116 1311925911255 1399387638672 1457695456950 1554875154080 1574311093506 1603465002645 1710362669488 1749234548340 1865850184896 1924158003174 1943593942600 2099081458008 2137953336860 2186543185425 2332312731120 2429492428250 2565544004232 2623851822510 2672441671075 2798775277344 2886237004761 2915390913900 3109750308160 3148622187012 3206930005290 3420725338976 3498469096680 3644238642375 3731700369792 3848316006348 3887187885200 3935777733765 4198162916016 4275906673720 4373086370850 4664625462240 4810395007935 4858984856500 5131088008464 5247703645020 5344883342150 5597550554688 5772474009522 5830781827800 6219500616320 6297244374024 6413860010580 6559629556275 6841450677952 6996938193360 7288477284750 7696632012696 7774375770400 7871555467530 8017325013225 8396325832032 8551813347440 8658711014283 8746172741700 9329250924480 9620790015870 9717969713000 10262176016928 10495407290040 10689766684300 10932715927125 11195101109376 11544948019044 11661563655600 12594488748048 12827720021160 13119259112550 13362208355375 13682901355904 13993876386720 14431185023805 14576954569500 15393264025392 15548751540800 15743110935060 16034650026450 16792651664064 17103626694880 17317422028566 17492345483400 18658501848960 19241580031740 19435939426000 19678888668825 20524352033856 20990814580080 21379533368600 21865431854250 23089896038088 23323127311200 24051975039675 25188977496096 25655440042320 26238518225100 26724416710750 27987752773440 28862370047610 29153909139000 30786528050784 31097503081600 31486221870120 32069300052900 32798147781375 33585303328128 34207253389760 34634844057132 34984690966800 38483160063480 38871878852000 39357777337650 40086625066125 41048704067712 41981629160160 42759066737200 43293555071415 43730863708500 46179792076176 46646254622400 48103950079350 50377954992192 51310880084640 52477036450200 53448833421500 55975505546880 57724740095220 58307818278000 61573056101568 62972443740240 64138600105800 65596295562750 68414506779520 69269688114264 69969381933600 72155925119025 76966320126960 77743757704000 78715554675300 80173250132250 83963258320320 85518133474400 86587110142830 87461727417000 92359584152352 93292509244800 96207900158700 98394443344125 100755909984384 102621760169280 104954072900400 106897666843000 115449480190440 116615636556000 120259875198375 123146112203136 125944887480480 128277200211600 131192591125500 138539376228528 139938763867200 144311850238050 153932640253920 155487515408000 157431109350600 160346500264500 167926516640640 171036266948800 173174220285660 174923454834000 184719168304704 192415800317400 196788886688250 205243520338560 209908145800800 213795333686000 216467775357075 230898960380880 233231273112000 240519750396750 251889774960960 256554400423200 262385182251000 277078752457056 279877527734400 288623700476100 307865280507840 314862218701200 320693000529000 342072533897600 346348440571320 349846909668000 360779625595125 369438336609408 384831600634800 393577773376500 419816291601600 427590667372000 432935550714150 461797920761760 466462546224000 481039500793500 503779549921920 513108800846400 524770364502000 554157504914112 577247400952200 615730561015680 629724437402400 641386001058000 692696881142640 699693819336000 721559251190250 769663201269600 787155546753000 839632583203200 855181334744000 865871101428300 923595841523520 962079001587000 1026217601692800 1049540729004000 1082338876785375 1108315009828224 1154494801904400 1259448874804800 1282772002116000 1385393762285280 1399387638672000 1443118502380500 1539326402539200 1574311093506000 1710362669488000 1731742202856600 1847191683047040 1924158003174000 2099081458008000 2164677753570750 2308989603808800 2518897749609600 2565544004232000 2770787524570560 2886237004761000 3078652805078400 3148622187012000 3463484405713200 3848316006348000 4198162916016000 4329355507141500 4617979207617600 5131088008464000 5541575049141120 5772474009522000 6297244374024000 6926968811426400 7696632012696000 8658711014283000 9235958415235200 11544948019044000 12594488748048000 13853937622852800 15393264025392000 17317422028566000 23089896038088000 27707875245705600 34634844057132000 46179792076176000 69269688114264000 138539376228528000
- Sum of all divisors σ(n): 561315372743679840
- Sum of proper divisors (its aliquot sum) s(n): 422775996515151840
- 138539376228528000 is an abundant number, because the sum of its proper divisors (422775996515151840) is greater than itself. Its abundance is 284236620286623840
Bases of 138539376228528000
- Binary: 1111011000011000011010100001000111000000101101111100000002
- Hexadecimal: 0x1EC30D423816F80
- Base-36: 11W43YTLRS00
Squares and roots of 138539376228528000
- 138539376228528000 squared (1385393762285280002) is 19193158765789629089281046784000000
- 138539376228528000 cubed (1385393762285280003) is 2659008243267599547728816866597385843453952000000000
-
The
square root of 138539376228528000 is 372208780.4291134667 -
The
cube root of 138539376228528000 is 517437.3125818831
Scales and comparisons
How big is 138539376228528000?- 138,539,376,228,528,000 seconds is equal to 4,405,123,633 years, 33 weeks, 2 days.
-
To count from 1 to 138,539,376,228,528,000 would take you about thirteen billion, two hundred fifteen million, three hundred seventy thousand, nine 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 138539376228528000 cubic inches would be around 43119.8 feet tall.
Recreational maths with 138539376228528000
- 138539376228528000 backwards is 000825822673935831
- 138539376228528000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138539376228528000's digits is 72
- More coming soon!
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The information we have on file for 138539376228528000 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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