138387231528000
138,387,231,528,000 is an even composite number composed of eight prime numbers multiplied together.
138387231528000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138387231528000:
26 × 3 × 53 × 7 × 13 × 172 × 233 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 17 × 17 × 233 × 941)See below for interesting mathematical facts about the number 138387231528000 from the Numbermatics database.
Names of 138387231528000
- Cardinal: 138387231528000 can be written as One hundred thirty-eight trillion, three hundred eighty-seven billion, two hundred thirty-one million, five hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38387231528 × 1014
Factors of 138387231528000
Divisors of 138387231528000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 25 26 28 30 32 34 35 39 40 42 48 50 51 52 56 60 64 65 68 70 75 78 80 84 85 91 96 100 102 104 105 112 119 120 125 130 136 140 150 156 160 168 170 175 182 192 195 200 204 208 210 221 224 233 238 240 250 255 260 272 273 280 289 300 312 320 325 336 340 350 357 364 375 390 400 408 416 420 425 442 448 455 466 476 480 500 510 520 525 544 546 560 578 595 600 624 650 663 672 680 699 700 714 728 750 780 800 816 832 840 850 867 875 884 910 932 941 952 960 975 1000 1020 1040 1050 1088 1092 1105 1120 1156 1165 1190 1200 1248 1275 1300 1326 1344 1360 1365 1398 1400 1428 1445 1456 1500 1547 1560 1600 1625 1631 1632 1680 1700 1734 1750 1768 1785 1820 1864 1882 1904 1950 2000 2023 2040 2080 2100 2125 2184 2210 2240 2275 2312 2330 2380 2400 2496 2550 2600 2625 2652 2720 2730 2796 2800 2823 2856 2890 2912 2975 3000 3029 3094 3120 3250 3262 3264 3315 3360 3400 3468 3495 3500 3536 3570 3640 3728 3757 3764 3808 3900 3961 4000 4046 4080 4160 4200 4250 4335 4368 4420 4550 4624 4641 4660 4705 4760 4800 4875 4893 5100 5200 5250 5304 5440 5460 5525 5592 5600 5646 5712 5780 5824 5825 5950 6000 6058 6069 6188 6240 6375 6500 6524 6587 6630 6720 6800 6825 6936 6990 7000 7072 7140 7225 7280 7456 7514 7528 7616 7735 7800 7922 8000 8092 8155 8160 8400 8500 8670 8736 8840 8925 9087 9100 9248 9282 9320 9410 9520 9750 9786 10115 10200 10400 10500 10608 10920 11050 11184 11200 11271 11292 11375 11424 11560 11650 11883 11900 12000 12116 12138 12233 12376 12480 12750 13000 13048 13174 13260 13600 13650 13872 13980 14000 14115 14144 14280 14450 14560 14875 14912 15028 15056 15145 15470 15600 15844 15997 16184 16310 16320 16575 16800 17000 17340 17472 17475 17680 17850 18174 18200 18496 18564 18640 18785 18820 19040 19500 19572 19761 19805 20230 20400 20800 21000 21203 21216 21675 21840 22100 22368 22542 22584 22750 22848 23120 23205 23300 23525 23766 23800 24000 24232 24276 24465 24466 24752 25500 26000 26096 26299 26348 26520 27200 27300 27625 27727 27744 27960 28000 28230 28560 28900 29120 29125 29750 30056 30112 30290 30345 30940 31200 31688 31994 32368 32620 32935 33150 33600 34000 34125 34680 34950 35360 35700 36125 36348 36400 36699 37128 37280 37570 37640 38080 38675 39000 39144 39522 39610 40460 40775 40800 42000 42406 42432 43350 43680 44200 44625 44736 45084 45168 45435 45500 46240 46410 46600 47050 47532 47600 47991 48464 48552 48930 48932 49504 50575 51000 51493 52000 52192 52598 52696 53040 54600 55250 55454 55488 55920 56000 56355 56460 57120 57800 58250 59415 59500 60112 60224 60580 60690 61165 61880 62400 63376 63609 63988 64736 65240 65870 66300 67337 68000 68250 69360 69900 70575 70720 71400 72250 72696 72800 73398 74256 74560 75140 75280 75725 77350 78000 78288 78897 79044 79220 79985 80920 81550 81600 82875 83181 84000 84812 85631 86700 87360 87375 88400 89250 90168 90336 90870 91000 92480 92820 93200 93925 94100 95064 95200 95982 96928 97104 97860 97864 98805 99008 99025 101150 102000 102986 104000 104384 105196 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31923236800 32561701536 32949340840 33266161425 33918439100 34203468000 34596807882 34937448000 35483905520 36341184750 36766002000 36834504000 37121038500 38018470200 38763930400 39136660500 39539209008 39595774400 39904046000 40702126920 41186676050 41745771200 42398048875 42424044000 42580686624 44354881900 44727612000 45687432000 46129077176 46516716480 47523087750 47884855200 48454913000 49021336000 49424011260 49494718000 50691293600 50877658650 52182214000 52718945344 53225858280 54269502560 55443602375 57661346470 58145895600 59393661600 59856069000 60829552320 61780014075 62618656800 63364117000 65123403072 65898681680 66532322850 67836878200 68406936000 69193615764 70967811040 72682369500 73532004000 74242077000 76036940400 77527860800 78273321000 79078418016 79808092000 81404253840 82373352100 84796097750 84848088000 85161373248 86492019705 88709763800 89455224000 92258154352 95046175500 95769710400 96909826000 98848022520 98989436000 101382587200 101755317300 102966690125 104364428000 106451716560 108539005120 110887204750 115322692940 116291791200 118787323200 119712138000 123560028150 125237313600 126728234000 127194146625 131797363360 133064645700 135673756400 138387231528 141935622080 144153366175 145364739000 147064008000 148484154000 152073880800 156546642000 158156836032 159616184000 162808507680 164746704200 166330807125 169592195500 172984039410 177419527600 184516308704 190092351000 193819652000 197696045040 197978872000 203510634600 205933380250 208728856000 212903433120 221774409500 230645385880 232583582400 239424276000 247120056300 253456468000 254388293250 263594726720 266129291400 271347512800 276774463056 288306732350 290729478000 296968308000 304147761600 308900070375 313093284000 325617015360 329493408400 332661614250 339184391000 345968078820 354839055200 369032617408 380184702000 387639304000 395392090080 407021269200 411866760500 425806866240 432460098525 443548819000 461290771760 478848552000 494240112600 506912936000 508776586500 532258582800 542695025600 553548926112 576613464700 581458956000 593936616000 617800140750 626186568000 658986816800 665323228500 678368782000 691936157640 709678110400 720766830875 760369404000 790784180160 814042538400 823733521000 864920197050 887097638000 922581543520 988480225200 1017553173000 1064517165600 1107097852224 1153226929400 1162917912000 1235600281500 1317973633600 1330646457000 1356737564000 1383872315280 1441533661750 1520738808000 1628085076800 1647467042000 1729840394100 1774195276000 1845163087040 1976960450400 2035106346000 2129034331200 2162300492625 2306453858800 2471200563000 2661292914000 2713475128000 2767744630560 2883067323500 3294934084000 3459680788200 3548390552000 3953920900800 4070212692000 4324600985250 4612907717600 4942401126000 5322585828000 5535489261120 5766134647000 6589868168000 6919361576400 8140425384000 8649201970500 9225815435200 9884802252000 10645171656000 11532269294000 13838723152800 17298403941000 19769604504000 23064538588000 27677446305600 34596807882000 46129077176000 69193615764000 138387231528000
- Sum of all divisors σ(n): 600636152503296
- Sum of proper divisors (its aliquot sum) s(n): 462248920975296
- 138387231528000 is an abundant number, because the sum of its proper divisors (462248920975296) is greater than itself. Its abundance is 323861689447296
Bases of 138387231528000
- Binary: 111110111011100110010011100011011010100010000002
- Hexadecimal: 0x7DDCC9C6D440
- Base-36: 1D1Y7SLKQO
Squares and roots of 138387231528000
- 138387231528000 squared (1383872315280002) is 19151025849984277214784000000
- 138387231528000 cubed (1383872315280003) is 2650257448300487166082048392509952000000000
-
The
square root of 138387231528000 is 11763810.2470245583 -
The
cube root of 138387231528000 is 51724.7825704405
Scales and comparisons
How big is 138387231528000?- 138,387,231,528,000 seconds is equal to 4,400,285 years, 46 weeks, 6 days, 14 hours, 40 minutes.
-
To count from 1 to 138,387,231,528,000 would take you about eleven million, seven hundred fourteen 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 138387231528000 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138387231528000
- 138387231528000 backwards is 000825132783831
- 138387231528000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138387231528000's digits is 51
- More coming soon!
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"Number 138387231528000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 138387231528000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/138387231528000/
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The information we have on file for 138387231528000 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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