137414465815680000
137,414,465,815,680,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137414465815680000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2640 divisors.
137414465815680000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty divisors.
Prime factorization of 137414465815680000:
210 × 33 × 54 × 793 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 79 × 79 × 79 × 127 × 127)See below for interesting mathematical facts about the number 137414465815680000 from the Numbermatics database.
Names of 137414465815680000
- Cardinal: 137414465815680000 can be written as One hundred thirty-seven quadrillion, four hundred fourteen trillion, four hundred sixty-five billion, eight hundred fifteen million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3741446581568 × 1017
Factors of 137414465815680000
Divisors of 137414465815680000
- Number of divisors d(n): 2640
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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 30 32 36 40 45 48 50 54 60 64 72 75 79 80 90 96 100 108 120 125 127 128 135 144 150 158 160 180 192 200 216 225 237 240 250 254 256 270 288 300 316 320 360 375 381 384 395 400 432 450 474 480 500 508 512 540 576 600 625 632 635 640 675 711 720 750 762 768 790 800 864 900 948 960 1000 1016 1024 1080 1125 1143 1152 1185 1200 1250 1264 1270 1280 1350 1422 1440 1500 1524 1536 1580 1600 1728 1800 1875 1896 1905 1920 1975 2000 2032 2133 2160 2250 2286 2304 2370 2400 2500 2528 2540 2560 2700 2844 2880 3000 3048 3072 3160 3175 3200 3375 3429 3456 3555 3600 3750 3792 3810 3840 3950 4000 4064 4266 4320 4500 4572 4608 4740 4800 5000 5056 5080 5120 5400 5625 5688 5715 5760 5925 6000 6096 6241 6320 6350 6400 6750 6858 6912 7110 7200 7500 7584 7620 7680 7900 8000 8128 8532 8640 9000 9144 9216 9480 9525 9600 9875 10000 10033 10112 10160 10665 10800 11250 11376 11430 11520 11850 12000 12192 12482 12640 12700 12800 13500 13716 13824 14220 14400 15000 15168 15240 15360 15800 15875 16000 16129 16256 16875 17064 17145 17280 17775 18000 18288 18723 18960 19050 19200 19750 20000 20066 20224 20320 21330 21600 22500 22752 22860 23040 23700 24000 24384 24964 25280 25400 25600 27000 27432 27648 28440 28575 28800 29625 30000 30099 30336 30480 31205 31600 31750 32000 32258 32512 33750 34128 34290 34560 35550 36000 36576 37446 37920 38100 38400 39500 40000 40132 40448 40640 42660 43200 45000 45504 45720 46080 47400 47625 48000 48387 48768 49375 49928 50165 50560 50800 53325 54000 54864 56169 56880 57150 57600 59250 60000 60198 60672 60960 62410 63200 63500 64000 64516 65024 67500 68256 68580 69120 71100 72000 73152 74892 75840 76200 76800 79000 79375 80000 80264 80645 80896 81280 85320 85725 86400 88875 90000 90297 91008 91440 93615 94800 95250 96000 96774 97536 98750 99856 100330 101120 101600 106650 108000 109728 112338 113760 114300 115200 118500 120000 120396 121344 121920 124820 126400 127000 128000 129032 130048 135000 136512 137160 138240 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115961574528000 119283390465000 120222629760000 122146191836160 127235616496000 134193814273125 135250458480000 137414465815680 143140068558000 144951968160000 152682739795200 159044520620000 171768082269600 173942361792000 178925085697500 180333944640000 183219287754240 190853424744000 193269290880000 203576986393600 214710102837000 216400733568000 217427952240000 219863145305088 229024109692800 238566780930000 254471232992000 268387628546250 270500916960000 274828931631360 286280137116000 289903936320000 305365479590400 318089041240000 343536164539200 347884723584000 357850171395000 360667889280000 366438575508480 381706849488000 429420205674000 434855904480000 458048219385600 477133561860000 508942465984000 536775257092500 541001833920000 549657863262720 572560274232000 579807872640000 610730959180800 636178082480000 687072329078400 715700342790000 763413698976000 858840411348000 869711808960000 916096438771200 954267123720000 1017884931968000 1073550514185000 1082003667840000 1099315726525440 1145120548464000 1272356164960000 1374144658156800 1431400685580000 1526827397952000 1717680822696000 1739423617920000 1832192877542400 1908534247440000 2147101028370000 2290241096928000 2544712329920000 2748289316313600 2862801371160000 3053654795904000 3435361645392000 3817068494880000 4294202056740000 4580482193856000 5089424659840000 5496578632627200 5725602742320000 6870723290784000 7634136989760000 8588404113480000 9160964387712000 11451205484640000 13741446581568000 15268273979520000 17176808226960000 22902410969280000 27482893163136000 34353616453920000 45804821938560000 68707232907840000 137414465815680000
- Sum of all divisors σ(n): 519138245379705600
- Sum of proper divisors (its aliquot sum) s(n): 381723779564025600
- 137414465815680000 is an abundant number, because the sum of its proper divisors (381723779564025600) is greater than itself. Its abundance is 244309313748345600
Bases of 137414465815680000
- Binary: 1111010000011000110111010100001011111000110010100000000002
- Hexadecimal: 0x1E831BA85F19400
- Base-36: 11L1D242ADC0
Squares and roots of 137414465815680000
- 137414465815680000 squared (1374144658156800002) is 18882735415408687287733862400000000
- 137414465815680000 cubed (1374144658156800003) is 2594761000247207143636807810938372882432000000000000
-
The
square root of 137414465815680000 is 370694572.1421882377 -
The
cube root of 137414465815680000 is 516033.0109978719
Scales and comparisons
How big is 137414465815680000?- 137,414,465,815,680,000 seconds is equal to 4,369,354,962 years, 4 weeks, 4 days.
-
To count from 1 to 137,414,465,815,680,000 would take you about thirteen billion, one hundred eight million, sixty-four thousand, eight hundred eighty-six 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 137414465815680000 cubic inches would be around 43002.8 feet tall.
Recreational maths with 137414465815680000
- 137414465815680000 backwards is 000086518564414731
- The number of decimal digits it has is: 18
- The sum of 137414465815680000's digits is 63
- More coming soon!
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"Number 137414465815680000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 137414465815680000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/137414465815680000/
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The information we have on file for 137414465815680000 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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