137944842340515840
137,944,842,340,515,840 is an even composite number composed of five prime numbers multiplied together.
137944842340515840 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 137944842340515840:
214 × 35 × 5 × 72 × 5213
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 521 × 521 × 521)See below for interesting mathematical facts about the number 137944842340515840 from the Numbermatics database.
Names of 137944842340515840
- Cardinal: 137944842340515840 can be written as One hundred thirty-seven quadrillion, nine hundred forty-four trillion, eight hundred forty-two billion, three hundred forty million, five hundred fifteen thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3794484234051584 × 1017
Factors of 137944842340515840
Divisors of 137944842340515840
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 81 84 90 96 98 105 108 112 120 126 128 135 140 144 147 160 162 168 180 189 192 196 210 216 224 240 243 245 252 256 270 280 288 294 315 320 324 336 360 378 384 392 405 420 432 441 448 480 486 490 504 512 521 540 560 567 576 588 630 640 648 672 720 735 756 768 784 810 840 864 882 896 945 960 972 980 1008 1024 1042 1080 1120 1134 1152 1176 1215 1260 1280 1296 1323 1344 1440 1470 1512 1536 1563 1568 1620 1680 1701 1728 1764 1792 1890 1920 1944 1960 2016 2048 2084 2160 2205 2240 2268 2304 2352 2430 2520 2560 2592 2605 2646 2688 2835 2880 2940 3024 3072 3126 3136 3240 3360 3402 3456 3528 3584 3647 3780 3840 3888 3920 3969 4032 4096 4168 4320 4410 4480 4536 4608 4689 4704 4860 5040 5120 5184 5210 5292 5376 5670 5760 5880 6048 6144 6252 6272 6480 6615 6720 6804 6912 7056 7168 7294 7560 7680 7776 7815 7840 7938 8064 8192 8336 8505 8640 8820 8960 9072 9216 9378 9408 9720 10080 10240 10368 10420 10584 10752 10941 11340 11520 11760 11907 12096 12288 12504 12544 12960 13230 13440 13608 13824 14067 14112 14336 14588 15120 15360 15552 15630 15680 15876 16128 16384 16672 17010 17280 17640 17920 18144 18235 18432 18756 18816 19440 19845 20160 20480 20736 20840 21168 21504 21882 22680 23040 23445 23520 23814 24192 24576 25008 25088 25529 25920 26460 26880 27216 27648 28134 28224 28672 29176 30240 30720 31104 31260 31360 31752 32256 32823 33344 34020 34560 35280 35840 36288 36470 36864 37512 37632 38880 39690 40320 40960 41472 41680 42201 42336 43008 43764 45360 46080 46890 47040 47628 48384 49152 50016 50176 51058 51840 52920 53760 54432 54705 55296 56268 56448 57344 58352 59535 60480 61440 62208 62520 62720 63504 64512 65646 66688 68040 69120 70335 70560 71680 72576 72940 73728 75024 75264 76587 77760 79380 80640 81920 82944 83360 84402 84672 86016 87528 90720 92160 93780 94080 95256 96768 98469 100032 100352 102116 103680 105840 107520 108864 109410 110592 112536 112896 114688 116704 119070 120960 122880 124416 125040 125440 126603 127008 127645 129024 131292 133376 136080 138240 140670 141120 143360 145152 145880 147456 150048 150528 153174 155520 158760 161280 164115 165888 166720 168804 169344 172032 175056 181440 184320 187560 188160 190512 193536 196938 200064 200704 204232 207360 211005 211680 215040 217728 218820 221184 225072 225792 229761 233408 238140 241920 245760 248832 250080 250880 253206 254016 255290 258048 262584 266752 271441 272160 276480 281340 282240 286720 290304 291760 295407 300096 301056 306348 311040 317520 322560 328230 331776 333440 337608 338688 344064 350112 362880 368640 375120 376320 381024 382935 387072 393876 400128 401408 408464 414720 422010 423360 430080 435456 437640 442368 450144 451584 459522 466816 476280 483840 492345 497664 500160 501760 506412 508032 510580 516096 525168 533504 542882 544320 552960 562680 564480 573440 580608 583520 590814 600192 602112 612696 622080 633015 635040 645120 656460 663552 666880 675216 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143692544104704 145973378138112 153956297255040 156400048005120 159658382338560 164220050405376 170302274494464 175950054005760 179615680130880 182466722672640 187680057606144 191590058806272 205275063006720 212877843118080 215538816157056 218960067207168 234600072007680 239487573507840 243288963563520 246330075608064 255453411741696 264769371095040 269423520196320 273700084008960 281520086409216 283837124157440 287385088209408 307912594510080 312800096010240 319316764677120 328440100810752 340604548988928 351900108011520 359231360261760 364933445345280 383180117612544 410550126013440 425755686236160 431077632314112 437920134414336 469200144015360 478975147015680 492660151216128 510906823483392 538847040392640 547400168017920 563040172818432 567674248314880 574770176418816 615825189020160 638633529354240 656880201621504 703800216023040 718462720523520 729866890690560 766360235225088 821100252026880 851511372472320 862155264628224 938400288030720 957950294031360 985320302432256 1021813646966784 1077694080785280 1094800336035840 1149540352837632 1231650378040320 1277267058708480 1313760403243008 1407600432046080 1436925441047040 1532720470450176 1642200504053760 1703022744944640 1724310529256448 1915900588062720 1970640604864512 2155388161570560 2189600672071680 2299080705675264 2463300756080640 2554534117416960 2815200864092160 2873850882094080 3065440940900352 3284401008107520 3448621058512896 3831801176125440 3941281209729024 4310776323141120 4598161411350528 4926601512161280 5109068234833920 5747701764188160 6568802016215040 6897242117025792 7663602352250880 8621552646282240 9196322822701056 9853203024322560 11495403528376320 13794484234051584 15327204704501760 17243105292564480 19706406048645120 22990807056752640 27588968468103168 34486210585128960 45981614113505280 68972421170257920 137944842340515840
- Sum of all divisors σ(n): 577978549023998304
- Sum of proper divisors (its aliquot sum) s(n): 440033706683482464
- 137944842340515840 is an abundant number, because the sum of its proper divisors (440033706683482464) is greater than itself. Its abundance is 302088864342966624
Bases of 137944842340515840
- Binary: 1111010100001010000011010011011100100110111000000000000002
- Hexadecimal: 0x1EA141A6E4DC000
- Base-36: 11Q9D5Q39C00
Squares and roots of 137944842340515840
- 137944842340515840 squared (1379448423405158402) is 19028779528349771610545597290905600
- 137944842340515840 cubed (1379448423405158403) is 2624921991970644610823624245862687948729644744704000
-
The
square root of 137944842340515840 is 371409265.2863089791 -
The
cube root of 137944842340515840 is 516696.0669219169
Scales and comparisons
How big is 137944842340515840?- 137,944,842,340,515,840 seconds is equal to 4,386,219,295 years, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 137,944,842,340,515,840 would take you about thirteen billion, one hundred fifty-eight million, six hundred fifty-seven thousand, eight hundred eighty-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 137944842340515840 cubic inches would be around 43058 feet tall.
Recreational maths with 137944842340515840
- 137944842340515840 backwards is 048515043248449731
- 137944842340515840 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137944842340515840's digits is 72
- More coming soon!
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"Number 137944842340515840 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 137944842340515840 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/137944842340515840/
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The information we have on file for 137944842340515840 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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