138564814156800000
138,564,814,156,800,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 138564814156800000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1008 divisors.
138564814156800000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138564814156800000:
213 × 3 × 55 × 715
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 71 × 71 × 71 × 71 × 71)See below for interesting mathematical facts about the number 138564814156800000 from the Numbermatics database.
Names of 138564814156800000
- Cardinal: 138564814156800000 can be written as One hundred thirty-eight quadrillion, five hundred sixty-four trillion, eight hundred fourteen billion, one hundred fifty-six million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.385648141568 × 1017
Factors of 138564814156800000
Divisors of 138564814156800000
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 71 75 80 96 100 120 125 128 142 150 160 192 200 213 240 250 256 284 300 320 355 375 384 400 426 480 500 512 568 600 625 640 710 750 768 800 852 960 1000 1024 1065 1136 1200 1250 1280 1420 1500 1536 1600 1704 1775 1875 1920 2000 2048 2130 2272 2400 2500 2560 2840 3000 3072 3125 3200 3408 3550 3750 3840 4000 4096 4260 4544 4800 5000 5041 5120 5325 5680 6000 6144 6250 6400 6816 7100 7500 7680 8000 8192 8520 8875 9088 9375 9600 10000 10082 10240 10650 11360 12000 12288 12500 12800 13632 14200 15000 15123 15360 16000 17040 17750 18176 18750 19200 20000 20164 20480 21300 22720 24000 24576 25000 25205 25600 26625 27264 28400 30000 30246 30720 32000 34080 35500 36352 37500 38400 40000 40328 40960 42600 44375 45440 48000 50000 50410 51200 53250 54528 56800 60000 60492 61440 64000 68160 71000 72704 75000 75615 76800 80000 80656 85200 88750 90880 96000 100000 100820 102400 106500 109056 113600 120000 120984 122880 126025 128000 133125 136320 142000 145408 150000 151230 153600 160000 161312 170400 177500 181760 192000 200000 201640 204800 213000 218112 221875 227200 240000 241968 252050 256000 266250 272640 284000 290816 300000 302460 307200 320000 322624 340800 355000 357911 363520 378075 384000 400000 403280 426000 436224 443750 454400 480000 483936 504100 512000 532500 545280 568000 581632 600000 604920 614400 630125 640000 645248 665625 681600 710000 715822 727040 756150 768000 800000 806560 852000 872448 887500 908800 960000 967872 1008200 1024000 1065000 1073733 1090560 1136000 1200000 1209840 1260250 1280000 1290496 1331250 1363200 1420000 1431644 1454080 1512300 1536000 1600000 1613120 1704000 1744896 1775000 1789555 1817600 1890375 1920000 1935744 2016400 2130000 2147466 2181120 2272000 2400000 2419680 2520500 2560000 2580992 2662500 2726400 2840000 2863288 2908160 3024600 3072000 3150625 3200000 3226240 3408000 3550000 3579110 3635200 3780750 3840000 3871488 4032800 4260000 4294932 4362240 4544000 4800000 4839360 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10825376106 10995025920 11453152000 12098400000 12197606880 12705840500 12904960000 13010780672 13421662500 13743782400 14316440000 14433834808 14660034560 15247008600 15485952000 15882300625 16131200000 16263475840 17179728000 17895550000 18042293510 18325043200 19058760750 19357440000 19516171008 20329344800 21474660000 21650752212 21990051840 22906304000 24196800000 24395213760 25411681000 25809920000 26021561344 26843325000 27063440265 27487564800 28632880000 28867669616 30494017200 31764601250 32262400000 32526951680 34359456000 35791100000 36084587020 36650086400 38117521500 38714880000 39032342016 40658689600 42949320000 43301504424 43980103680 45105733775 45812608000 47646901875 48393600000 48790427520 50823362000 52043122688 53686650000 54126880530 54975129600 57265760000 57735339232 60988034400 63529202500 64524800000 65053903360 68718912000 71582200000 72169174040 73300172800 76235043000 77429760000 78064684032 79411503125 81317379200 85898640000 86603008848 90211467550 91625216000 95293803750 96787200000 97580855040 101646724000 104086245376 107373300000 108253761060 109950259200 114531520000 115470678464 121976068800 127058405000 129049600000 130107806720 135317201325 137437824000 143164400000 144338348080 152470086000 156129368064 158823006250 162634758400 171797280000 173206017696 180422935100 183250432000 190587607500 193574400000 195161710080 203293448000 208172490752 214746600000 216507522120 219900518400 225528668875 229063040000 230941356928 238234509375 243952137600 254116810000 260215613440 270634402650 274875648000 286328800000 288676696160 304940172000 312258736128 317646012500 325269516800 343594560000 346412035392 360845870200 366500864000 381175215000 387148800000 390323420160 406586896000 429493200000 433015044240 451057337750 458126080000 461882713856 476469018750 487904275200 508233620000 520431226880 541268805300 549751296000 572657600000 577353392320 609880344000 624517472256 635292025000 650539033600 676586006625 687189120000 692824070784 721691740400 762350430000 780646840320 813173792000 858986400000 866030088480 902114675500 916252160000 923765427712 952938037500 975808550400 1016467240000 1040862453760 1082537610600 1099502592000 1127643344375 1145315200000 1154706784640 1219760688000 1270584050000 1301078067200 1353172013250 1374378240000 1385648141568 1443383480800 1524700860000 1561293680640 1626347584000 1717972800000 1732060176960 1804229351000 1832504320000 1847530855424 1905876075000 1951617100800 2032934480000 2165075221200 2255286688750 2290630400000 2309413569280 2439521376000 2541168100000 2602156134400 2706344026500 2748756480000 2771296283136 2886766961600 3049401720000 3122587361280 3252695168000 3382930033125 3435945600000 3464120353920 3608458702000 3695061710848 3811752150000 3903234201600 4065868960000 4330150442400 4510573377500 4581260800000 4618827138560 4879042752000 5082336200000 5204312268800 5412688053000 5497512960000 5542592566272 5638216721875 5773533923200 6098803440000 6505390336000 6765860066250 6871891200000 6928240707840 7216917404000 7390123421696 7623504300000 7806468403200 8131737920000 8660300884800 9021146755000 9162521600000 9237654277120 9758085504000 10164672400000 10825376106000 11085185132544 11276433443750 11547067846400 12197606880000 13010780672000 13531720132500 13743782400000 13856481415680 14433834808000 14780246843392 15247008600000 15612936806400 16263475840000 16914650165625 17320601769600 18042293510000 18475308554240 19516171008000 20329344800000 21650752212000 22170370265088 22552866887500 23094135692800 24395213760000 26021561344000 27063440265000 27487564800000 27712962831360 28867669616000 30494017200000 32526951680000 33829300331250 34641203539200 36084587020000 36950617108480 39032342016000 40658689600000 43301504424000 44340740530176 45105733775000 46188271385600 48790427520000 54126880530000 55425925662720 57735339232000 60988034400000 65053903360000 67658600662500 69282407078400 72169174040000 73901234216960 78064684032000 81317379200000 86603008848000 90211467550000 92376542771200 97580855040000 108253761060000 110851851325440 115470678464000 121976068800000 130107806720000 135317201325000 138564814156800 144338348080000 162634758400000 173206017696000 180422935100000 184753085542400 195161710080000 216507522120000 221703702650880 230941356928000 243952137600000 270634402650000 277129628313600 288676696160000 325269516800000 346412035392000 360845870200000 369506171084800 390323420160000 433015044240000 461882713856000 487904275200000 541268805300000 554259256627200 577353392320000 650539033600000 692824070784000 721691740400000 866030088480000 923765427712000 975808550400000 1082537610600000 1108518513254400 1154706784640000 1385648141568000 1443383480800000 1732060176960000 1847530855424000 1951617100800000 2165075221200000 2309413569280000 2771296283136000 2886766961600000 3464120353920000 4330150442400000 4618827138560000 5542592566272000 5773533923200000 6928240707840000 8660300884800000 9237654277120000 11547067846400000 13856481415680000 17320601769600000 23094135692800000 27712962831360000 34641203539200000 46188271385600000 69282407078400000 138564814156800000
- Sum of all divisors σ(n): 468422463566175552
- Sum of proper divisors (its aliquot sum) s(n): 329857649409375552
- 138564814156800000 is an abundant number, because the sum of its proper divisors (329857649409375552) is greater than itself. Its abundance is 191292835252575552
Bases of 138564814156800000
- Binary: 1111011000100011111110110110111100010111100100000000000002
- Hexadecimal: 0x1EC47F6DE2F2000
- Base-36: 11WD4KUFH62O
Squares and roots of 138564814156800000
- 138564814156800000 squared (1385648141568000002) is 19200207722308521694986240000000000
- 138564814156800000 cubed (1385648141568000003) is 2660473214813636530138709279933202432000000000000000
-
The
square root of 138564814156800000 is 372242950.4460762787 -
The
cube root of 138564814156800000 is 517468.9804202255
Scales and comparisons
How big is 138564814156800000?- 138,564,814,156,800,000 seconds is equal to 4,405,932,481 years, 3 weeks, 6 days, 2 hours, 40 minutes.
-
To count from 1 to 138,564,814,156,800,000 would take you about thirteen billion, two hundred seventeen million, seven hundred ninety-seven thousand, four hundred forty-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 138564814156800000 cubic inches would be around 43122.4 feet tall.
Recreational maths with 138564814156800000
- 138564814156800000 backwards is 000008651418465831
- 138564814156800000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138564814156800000's digits is 60
- More coming soon!
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The information we have on file for 138564814156800000 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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