137868784107438080
137,868,784,107,438,080 is an even composite number composed of six prime numbers multiplied together.
What does the number 137868784107438080 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
137868784107438080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 137868784107438080:
214 × 5 × 193 × 23 × 47 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 19 × 19 × 19 × 23 × 47 × 61 × 61 × 61)See below for interesting mathematical facts about the number 137868784107438080 from the Numbermatics database.
Names of 137868784107438080
- Cardinal: 137868784107438080 can be written as One hundred thirty-seven quadrillion, eight hundred sixty-eight trillion, seven hundred eighty-four billion, one hundred seven million, four hundred thirty-eight thousand and eighty.
Scientific notation
- Scientific notation: 1.3786878410743808 × 1017
Factors of 137868784107438080
Divisors of 137868784107438080
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 23 32 38 40 46 47 61 64 76 80 92 94 95 115 122 128 152 160 184 188 190 230 235 244 256 304 305 320 361 368 376 380 437 460 470 488 512 608 610 640 722 736 752 760 874 893 920 940 976 1024 1081 1159 1216 1220 1280 1403 1444 1472 1504 1520 1748 1786 1805 1840 1880 1952 2048 2162 2185 2318 2432 2440 2560 2806 2867 2888 2944 3008 3040 3496 3572 3610 3680 3721 3760 3904 4096 4324 4370 4465 4636 4864 4880 5120 5405 5612 5734 5776 5795 5888 6016 6080 6859 6992 7015 7144 7220 7360 7442 7520 7808 8192 8303 8648 8740 8930 9272 9728 9760 10240 10810 11224 11468 11552 11590 11776 12032 12160 13718 13984 14030 14288 14335 14440 14720 14884 15040 15616 16384 16606 16967 17296 17480 17860 18544 18605 19456 19520 20480 20539 21620 22021 22448 22936 23104 23180 23552 24064 24320 26657 27436 27968 28060 28576 28670 28880 29440 29768 30080 31232 33212 33934 34295 34592 34960 35720 37088 37210 38912 39040 40960 41078 41515 43240 44042 44896 45872 46208 46360 47104 48128 48640 53314 54473 54872 55936 56120 57152 57340 57760 58880 59536 60160 62464 65941 66424 67868 68590 69184 69920 70699 71440 74176 74420 77824 78080 81920 82156 83030 84835 85583 86480 88084 89792 91744 92416 92720 94208 96256 97280 102695 106628 108946 109744 110105 111872 112240 114304 114680 115520 117760 119072 120320 124928 131882 132848 133285 135736 137180 138368 139840 141398 142880 148352 148840 155648 156160 157757 164312 166060 169670 171166 172960 174887 176168 179584 183488 184832 185440 188416 192512 194560 205390 213256 217892 219488 220210 223744 224480 226981 228608 229360 231040 235520 238144 240640 249856 263764 265696 266570 271472 272365 274360 276736 279680 282796 285760 296704 297680 311296 312320 315514 322373 328624 329705 332120 339340 342332 345920 349774 352336 353495 359168 366976 369664 370880 376832 385024 389120 390241 410780 418399 426512 427915 435784 438976 440420 447488 448960 453962 457216 458720 462080 471040 476288 481280 499712 506483 527528 531392 533140 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46830429384320 47738498652160 48088170250240 49133565255680 53854993791968 56503600044032 56689467149440 59477473730560 63097841696768 63769095331840 67318742239960 70629500055040 73334459631616 74928687014912 76381597843456 77194168033280 78872302120960 90703147439104 91668074539520 93660858768640 95476997304320 98267130511360 107709987583936 113007200088064 113378934298880 118954947461120 127538190663680 134637484479920 141259000110080 146668919263232 149857374029824 154388336066560 157744604241920 181406294878208 183336149079040 187321717537280 190953994608640 215419975167872 226014400176128 226757868597760 269274968959840 282518000220160 293337838526464 299714748059648 315489208483840 362812589756416 366672298158080 374643435074560 381907989217280 430839950335744 452028800352256 453515737195520 538549937919680 565036000440320 586675677052928 599429496119296 725625179512832 733344596316160 749286870149120 861679900671488 907031474391040 1077099875839360 1130072000880640 1198858992238592 1451250359025664 1466689192632320 1498573740298240 1723359801342976 1814062948782080 2154199751678720 2260144001761280 2933378385264640 2997147480596480 3446719602685952 3628125897564160 4308399503357440 5994294961192960 6893439205371904 7256251795128320 8616799006714880 13786878410743808 17233598013429760 27573756821487616 34467196026859520 68934392053719040 137868784107438080
- Sum of all divisors σ(n): 378396434118205440
- Sum of proper divisors (its aliquot sum) s(n): 240527650010767360
- 137868784107438080 is an abundant number, because the sum of its proper divisors (240527650010767360) is greater than itself. Its abundance is 102658865903329280
Bases of 137868784107438080
- Binary: 1111010011100111011101101101111100101011011000000000000002
- Hexadecimal: 0x1E9CEEDBE56C000
- Base-36: 11PIEL1Z1SZK
Squares and roots of 137868784107438080
- 137868784107438080 squared (1378687841074380802) is 19007801631263370901332381034086400
- 137868784107438080 cubed (1378687841074380803) is 2620582499457659042191483896961174979068257370112000
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The
square root of 137868784107438080 is 371306859.7635089209 -
The
cube root of 137868784107438080 is 516601.0864109711
Scales and comparisons
How big is 137868784107438080?- 137,868,784,107,438,080 seconds is equal to 4,383,800,878 years, 24 weeks, 2 days, 21 minutes, 20 seconds.
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To count from 1 to 137,868,784,107,438,080 would take you about thirteen billion, one hundred fifty-one million, four hundred two thousand, six hundred thirty-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 137868784107438080 cubic inches would be around 43050.1 feet tall.
Recreational maths with 137868784107438080
- 137868784107438080 backwards is 080834701487868731
- The number of decimal digits it has is: 18
- The sum of 137868784107438080's digits is 83
- More coming soon!
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The information we have on file for 137868784107438080 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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