138048962740448000
138,048,962,740,448,000 is an even composite number composed of four prime numbers multiplied together.
138048962740448000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138048962740448000:
28 × 53 × 733 × 2233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 73 × 73 × 73 × 223 × 223 × 223)See below for interesting mathematical facts about the number 138048962740448000 from the Numbermatics database.
Names of 138048962740448000
- Cardinal: 138048962740448000 can be written as One hundred thirty-eight quadrillion, forty-eight trillion, nine hundred sixty-two billion, seven hundred forty million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38048962740448 × 1017
Factors of 138048962740448000
Divisors of 138048962740448000
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 125 128 146 160 200 223 250 256 292 320 365 400 446 500 584 640 730 800 892 1000 1115 1168 1280 1460 1600 1784 1825 2000 2230 2336 2920 3200 3568 3650 4000 4460 4672 5329 5575 5840 6400 7136 7300 8000 8920 9125 9344 10658 11150 11680 14272 14600 16000 16279 17840 18250 18688 21316 22300 23360 26645 27875 28544 29200 32000 32558 35680 36500 42632 44600 46720 49729 53290 55750 57088 58400 65116 71360 73000 81395 85264 89200 93440 99458 106580 111500 116800 130232 133225 142720 146000 162790 170528 178400 198916 213160 223000 233600 248645 260464 266450 285440 292000 325580 341056 356800 389017 397832 406975 426320 446000 467200 497290 520928 532900 584000 651160 666125 682112 713600 778034 795664 813950 852640 892000 994580 1041856 1065800 1168000 1188367 1243225 1302320 1332250 1364224 1427200 1556068 1591328 1627900 1705280 1784000 1945085 1989160 2034875 2083712 2131600 2336000 2376734 2486450 2604640 2664500 3112136 3182656 3255800 3410560 3568000 3630217 3890170 3978320 4069750 4167424 4263200 4753468 4972900 5209280 5329000 5941835 6216125 6224272 6365312 6511600 6821120 7136000 7260434 7780340 7956640 8139500 8526400 9506936 9725425 9945800 10418560 10658000 11089567 11883670 12432250 12448544 12730624 13023200 14520868 15560680 15913280 16279000 17052800 18151085 19013872 19450850 19891600 20837120 21316000 22179134 23767340 24864500 24897088 26046400 29041736 29709175 31121360 31826560 32558000 34105600 36302170 38027744 38901700 39783200 42632000 44358268 47534680 48627125 49729000 49794176 52092800 55447835 58083472 59418350 62242720 63653120 65116000 72604340 76055488 77803400 79566400 85264000 86750791 88716536 90755425 95069360 97254250 99458000 99588352 104185600 110895670 116166944 118836700 124485440 130232000 145208680 148545875 152110976 155606800 159132800 170528000 173501582 177433072 181510850 190138720 194508500 198916000 221791340 232333888 237673400 248970880 260464000 265005841 277239175 290417360 297091750 304221952 311213600 318265600 347003164 354866144 363021700 380277440 389017000 397832000 433753955 443582680 453777125 464667776 475346800 497941760 520928000 530011682 554478350 580834720 594183500 622427200 694006328 709732288 726043400 760554880 778034000 795664000 809538391 867507910 887165360 907554250 929335552 950693600 1060023364 1108956700 1161669440 1188367000 1244854400 1325029205 1386195875 1388012656 1419464576 1452086800 1521109760 1556068000 1591328000 1619076782 1735015820 1774330720 1815108500 1901387200 2120046728 2168769775 2217913400 2323338880 2376734000 2489708800 2650058410 2772391750 2776025312 2838929152 2904173600 3112136000 3238153564 3470031640 3548661440 3630217000 3802774400 4047691955 4240093456 4337539550 4435826800 4646677760 4753468000 5300116820 5544783500 5552050624 5808347200 6224272000 6476307128 6625146025 6940063280 7097322880 7260434000 7605548800 8095383910 8480186912 8675079100 8871653600 9506936000 10600233640 10843848875 11089567000 11104101248 11616694400 12448544000 12952614256 13250292050 13880126560 14194645760 14520868000 16190767820 16960373824 17350158200 17743307200 19013872000 19345426393 20238459775 21200467280 21687697750 22179134000 22208202496 23233388800 25905228512 26500584100 27760253120 29041736000 32381535640 33125730125 33920747648 34700316400 35486614400 38027744000 38690852786 40476919550 42400934560 43375395500 44358268000 51810457024 53001168200 55520506240 58083472000 59096302543 64763071280 66251460250 67841495296 69400632800 70973228800 77381705572 80953839100 84801869120 86750791000 88716536000 96727131965 101192298875 103620914048 106002336400 111041012480 116166944000 118192605086 129526142560 132502920500 138801265600 154763411144 161907678200 169603738240 173501582000 177433072000 193454263930 202384597750 207241828096 212004672800 236385210172 259052285120 265005841000 277602531200 295481512715 309526822288 323815356400 339207476480 347003164000 354866144000 386908527860 404769195500 424009345600 472770420344 483635659825 518104570240 530011682000 555205062400 590963025430 619053644576 647630712800 694006328000 773817055720 809538391000 848018691200 945540840688 967271319650 1036209140480 1060023364000 1181926050860 1238107289152 1295261425600 1388012656000 1477407563575 1547634111440 1619076782000 1696037382400 1891081681376 1934542639300 2120046728000 2363852101720 2418178299125 2476214578304 2590522851200 2776025312000 2954815127150 3095268222880 3238153564000 3782163362752 3869085278600 4240093456000 4314030085639 4727704203440 4836356598250 4952429156608 5181045702400 5909630254300 6190536445760 6476307128000 7387037817875 7564326725504 7738170557200 8480186912000 8628060171278 9455408406880 9672713196500 11819260508600 12381072891520 12952614256000 14774075635750 15128653451008 15476341114400 17256120342556 18910816813760 19345426393000 21570150428195 23638521017200 24762145783040 25905228512000 29548151271500 30952682228800 34512240685112 37821633627520 38690852786000 43140300856390 47277042034400 59096302543000 61905364457600 69024481370224 75643267255040 77381705572000 86280601712780 94554084068800 107850752140975 118192605086000 123810728915200 138048962740448 154763411144000 172561203425560 189108168137600 215701504281950 236385210172000 276097925480896 309526822288000 345122406851120 378216336275200 431403008563900 472770420344000 539253760704875 552195850961792 619053644576000 690244813702240 862806017127800 945540840688000 1078507521409750 1104391701923584 1380489627404480 1725612034255600 1891081681376000 2157015042819500 2760979254808960 3451224068511200 4314030085639000 5521958509617920 6902448137022400 8628060171278000 13804896274044800 17256120342556000 27609792548089600 34512240685112000 69024481370224000 138048962740448000
- Sum of all divisors σ(n): 350244161820134400
- Sum of proper divisors (its aliquot sum) s(n): 212195199079686400
- 138048962740448000 is an abundant number, because the sum of its proper divisors (212195199079686400) is greater than itself. Its abundance is 74146236339238400
Bases of 138048962740448000
- Binary: 1111010100111001011001100110110011100000101101011000000002
- Hexadecimal: 0x1EA72CCD9C16B00
- Base-36: 11RA9TZ52IGW
Squares and roots of 138048962740448000
- 138048962740448000 squared (1380489627404480002) is 19057516113713600178215240704000000
- 138048962740448000 cubed (1380489627404480003) is 2630870331907536161252636816526467796795392000000000
-
The
square root of 138048962740448000 is 371549408.2089863859 -
The
cube root of 138048962740448000 is 516826.0344998063
Scales and comparisons
How big is 138048962740448000?- 138,048,962,740,448,000 seconds is equal to 4,389,530,001 years, 34 weeks, 5 days, 53 minutes, 20 seconds.
-
To count from 1 to 138,048,962,740,448,000 would take you about thirteen billion, one hundred sixty-eight million, five hundred ninety thousand and five 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 138048962740448000 cubic inches would be around 43068.8 feet tall.
Recreational maths with 138048962740448000
- 138048962740448000 backwards is 000844047269840831
- The number of decimal digits it has is: 18
- The sum of 138048962740448000's digits is 68
- More coming soon!
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