138052535342428800
138,052,535,342,428,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138052535342428800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
138052535342428800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138052535342428800:
27 × 33 × 52 × 292 × 89 × 1093 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 29 × 29 × 89 × 1093 × 19531)See below for interesting mathematical facts about the number 138052535342428800 from the Numbermatics database.
Names of 138052535342428800
- Cardinal: 138052535342428800 can be written as One hundred thirty-eight quadrillion, fifty-two trillion, five hundred thirty-five billion, three hundred forty-two million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380525353424288 × 1017
Factors of 138052535342428800
Divisors of 138052535342428800
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 64 72 75 80 87 89 90 96 100 108 116 120 128 135 144 145 150 160 174 178 180 192 200 216 225 232 240 261 267 270 288 290 300 320 348 356 360 384 400 432 435 445 450 464 480 522 534 540 576 580 600 640 675 696 712 720 725 783 800 801 841 864 870 890 900 928 960 1044 1068 1080 1093 1152 1160 1200 1305 1335 1350 1392 1424 1440 1450 1566 1600 1602 1682 1728 1740 1780 1800 1856 1920 2088 2136 2160 2175 2186 2225 2320 2400 2403 2523 2581 2610 2670 2700 2784 2848 2880 2900 3132 3200 3204 3279 3364 3456 3480 3560 3600 3712 3915 4005 4176 4205 4272 4320 4350 4372 4450 4640 4800 4806 5046 5162 5220 5340 5400 5465 5568 5696 5760 5800 6264 6408 6525 6558 6675 6728 6960 7120 7200 7569 7743 7830 8010 8352 8410 8544 8640 8700 8744 8900 9280 9600 9612 9837 10092 10324 10440 10680 10800 10930 11136 11392 11600 12015 12528 12615 12816 12905 13050 13116 13350 13456 13920 14240 14400 15138 15486 15660 16020 16395 16704 16820 17088 17280 17400 17488 17800 18560 19224 19531 19575 19674 20025 20184 20648 20880 21025 21360 21600 21860 22707 23200 23229 24030 25056 25230 25632 25810 26100 26232 26700 26912 27325 27840 28480 28800 29511 30276 30972 31320 31697 32040 32790 33408 33640 34176 34800 34976 35600 37845 38448 38715 39062 39150 39348 40050 40368 41296 41760 42050 42720 43200 43720 45414 46400 46458 48060 49185 50112 50460 51264 51620 52200 52464 53400 53824 54650 55680 56960 58593 59022 60075 60552 61944 62640 63075 63394 64080 64525 65580 67280 69600 69687 69952 71200 74849 75690 76896 77430 78124 78300 78696 80100 80736 81975 82592 83520 84100 85440 86400 87440 90828 92800 92916 95091 96120 97277 97655 98370 100224 100920 102528 103240 104400 104928 106800 107648 109300 113535 116145 117186 118044 120150 121104 123888 125280 126150 126788 128160 129050 131160 134560 139200 139374 139904 142400 147555 149698 151380 153792 154860 156248 156600 157392 158485 160200 161472 163950 165184 167040 168200 170880 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10771889461800 10943522421120 11019519104600 11490015425920 11901080632968 12118375644525 12396958992675 12630607076160 12782642161336 12926267354160 13223422925520 13372000711200 13679403026400 14034007862400 14362519282400 14380472431503 14876350791210 15511520824992 15788258845200 15868107510624 15978302701670 16157834192700 16415283631680 16529278656900 17235023138880 17631230567360 17829334281600 18239204035200 19173963242004 19389401031240 19835134388280 20519104539600 20682027766656 21051011793600 21157476680832 21543778923600 22039038209200 23802161265936 23967454052505 24236751289050 24793917985350 25261214152320 25565284322672 25852534708320 26446845851040 26744001422400 27358806052800 28725038564800 28760944863006 29752701582420 31023041649984 31576517690400 31736215021248 31956605403340 32315668385400 32830567263360 33058557313800 34470046277760 35262461134720 37190876978025 38347926484008 38778802062480 39670268776560 39945756754175 41038209079200 42102023587200 43087557847200 43141417294509 44078076418400 47604322531872 47934908105010 48473502578100 49587835970700 51130568645344 51705069416640 52893691702080 53488002844800 54717612105600 57450077129600 57521889726012 59505403164840 62046083299968 63153035380800 63472430042496 63913210806680 64631336770800 66117114627600 71902362157515 74381753956050 76695852968016 77557604124960 79340537553120 79891513508350 82076418158400 86175115694400 86282834589018 88156152836800 95208645063744 95869816210020 96947005156200 99175671941400 102261137290688 103410138833280 105787383404160 115043779452024 119010806329680 119837270262525 126306070761600 127826421613360 129262673541600 132234229255200 143804724315030 148763507912100 153391705936032 155115208249920 158681075106240 159783027016700 164152836316800 172350231388800 172565669178036 176312305673600 190417290127488 191739632420040 193894010312400 198351343882800 204522274581376 215707086472545 230087558904048 238021612659360 239674540525050 255652843226720 258525347083200 264468458510400 287609448630060 297527015824200 306783411872064 310230416499840 317362150212480 319566054033400 345131338356072 359511810787575 383479264840080 387788020624800 396702687765600 431414172945090 460175117808096 476043225318720 479349081050100 511305686453440 517050694166400 528936917020800 575218897260120 595054031648400 613566823744128 639132108066800 690262676712144 719023621575150 766958529680160 775576041249600 793405375531200 862828345890180 920350235616192 952086450637440 958698162100200 1022611372906880 1078535432362725 1150437794520240 1190108063296800 1278264216133600 1380525353424288 1438047243150300 1533917059360320 1551152082499200 1586810751062400 1725656691780360 1840700471232384 1917396324200400 2157070864725450 2300875589040480 2380216126593600 2556528432267200 2761050706848576 2876094486300600 3067834118720640 3451313383560720 3834792648400800 4314141729450900 4601751178080960 4760432253187200 5113056864534400 5522101413697152 5752188972601200 6902626767121440 7669585296801600 8628283458901800 9203502356161920 11504377945202400 13805253534242880 15339170593603200 17256566917803600 23008755890404800 27610507068485760 34513133835607200 46017511780809600 69026267671214400 138052535342428800
- Sum of all divisors σ(n): 529647062119344000
- Sum of proper divisors (its aliquot sum) s(n): 391594526776915200
- 138052535342428800 is an abundant number, because the sum of its proper divisors (391594526776915200) is greater than itself. Its abundance is 253541991434486400
Bases of 138052535342428800
- Binary: 1111010100111011000001100101010010110110101110010100000002
- Hexadecimal: 0x1EA760CA96D7280
- Base-36: 11RBJF7G1PC0
Squares and roots of 138052535342428800
- 138052535342428800 squared (1380525353424288002) is 19058502514472552911273483069440000
- 138052535342428800 cubed (1380525353424288003) is 2631074591952990263150753342359658309688655872000000
-
The
square root of 138052535342428800 is 371554215.8856884779 -
The
cube root of 138052535342428800 is 516830.4928160207
Scales and comparisons
How big is 138052535342428800?- 138,052,535,342,428,800 seconds is equal to 4,389,643,599 years, 18 weeks, 5 days.
-
To count from 1 to 138,052,535,342,428,800 would take you about thirteen billion, one hundred sixty-eight million, nine hundred thirty thousand, seven hundred ninety-eight 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 138052535342428800 cubic inches would be around 43069.2 feet tall.
Recreational maths with 138052535342428800
- 138052535342428800 backwards is 008824243535250831
- The number of decimal digits it has is: 18
- The sum of 138052535342428800's digits is 63
- More coming soon!
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"Number 138052535342428800 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
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Numbermatics. (2024). Number 138052535342428800 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/138052535342428800/
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The information we have on file for 138052535342428800 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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