138609023323680
138,609,023,323,680 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138609023323680 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2304 divisors.
138609023323680 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138609023323680:
25 × 32 × 5 × 7 × 13 × 29 × 61 × 73 × 8191
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 29 × 61 × 73 × 8191)See below for interesting mathematical facts about the number 138609023323680 from the Numbermatics database.
Names of 138609023323680
- Cardinal: 138609023323680 can be written as One hundred thirty-eight trillion, six hundred nine billion, twenty-three million, three hundred twenty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3860902332368 × 1014
Factors of 138609023323680
Divisors of 138609023323680
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 29 30 32 35 36 39 40 42 45 48 52 56 58 60 61 63 65 70 72 73 78 80 84 87 90 91 96 104 105 112 116 117 120 122 126 130 140 144 145 146 156 160 168 174 180 182 183 195 203 208 210 219 224 232 234 240 244 252 260 261 273 280 288 290 292 305 312 315 336 348 360 364 365 366 377 390 406 416 420 427 435 438 455 464 468 480 488 504 511 520 522 546 549 560 580 584 585 609 610 624 630 657 672 696 720 728 730 732 754 780 793 812 819 840 854 870 876 910 915 928 936 949 976 1008 1015 1022 1040 1044 1092 1095 1098 1120 1131 1160 1168 1170 1218 1220 1248 1260 1281 1305 1314 1365 1392 1440 1456 1460 1464 1508 1533 1560 1586 1624 1638 1680 1708 1740 1752 1769 1820 1827 1830 1872 1885 1898 1952 2016 2030 2044 2080 2088 2117 2135 2184 2190 2196 2262 2320 2336 2340 2379 2436 2440 2520 2555 2562 2610 2628 2639 2730 2745 2784 2847 2912 2920 2928 3016 3045 3066 3120 3172 3248 3276 3285 3360 3393 3416 3480 3504 3538 3640 3654 3660 3744 3770 3796 3843 3965 4060 4088 4095 4176 4234 4270 4368 4380 4392 4453 4524 4599 4640 4680 4745 4758 4872 4880 5040 5110 5124 5220 5256 5278 5307 5460 5490 5551 5655 5694 5840 5856 6032 6090 6132 6240 6344 6351 6405 6496 6552 6570 6643 6786 6832 6960 7008 7076 7137 7280 7308 7320 7540 7592 7665 7686 7917 7930 8120 8176 8190 8191 8352 8468 8540 8541 8736 8760 8784 8845 8906 9048 9135 9198 9360 9490 9516 9744 9760 10080 10220 10248 10440 10512 10556 10585 10614 10920 10980 11102 11310 11388 11680 11895 12064 12180 12264 12383 12688 12702 12810 13104 13140 13195 13286 13359 13572 13664 13920 14152 14235 14274 14560 14616 14640 14819 15080 15184 15330 15372 15834 15860 15921 16240 16352 16380 16382 16653 16936 16965 17080 17082 17520 17568 17690 17812 18096 18270 18396 18720 18980 19032 19053 19215 19488 19929 20440 20496 20880 21024 21112 21170 21228 21840 21960 22204 22265 22620 22776 22995 22997 23751 23790 24360 24528 24573 24766 25376 25404 25620 26208 26280 26390 26535 26572 26718 27144 27521 27755 28304 28470 28548 29232 29280 29638 30160 30368 30660 30744 31171 31668 31720 31755 31842 32480 32760 32764 33215 33306 33872 33930 34160 34164 35040 35380 35624 35685 36192 36540 36792 37149 37960 38064 38106 38430 39585 39858 40077 40880 40955 40992 41760 42224 42340 42456 42705 43680 43920 44408 44457 44530 45240 45552 45990 45994 47502 47580 48720 49056 49146 49532 49959 50808 51240 52560 52780 53070 53144 53436 54288 55042 55510 56608 56940 57096 57337 57889 58464 59276 59787 60320 61320 61488 61915 62342 63336 63440 63510 63684 65520 65528 66430 66612 66795 67744 67860 68320 68328 68991 70760 71248 71370 73080 73584 73719 74095 74298 75920 76128 76212 76860 79170 79605 79716 80154 81760 81910 82563 83265 84448 84680 84912 85410 87840 88816 88914 89060 90480 91104 91980 91988 93513 95004 95160 95265 97440 98292 99064 99645 99918 101616 102480 105120 105560 106140 106288 106483 106872 108576 110084 111020 111447 113880 114192 114674 114985 115778 118552 118755 119574 122640 122865 122976 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18383159592 18935658924 18966751960 19039701006 19421188640 19588612680 19778684835 19915089558 20288205990 20425732880 20865425760 21097263824 21155223340 21337595955 21640753056 21824755680 21848837220 22212984507 22604211240 22760102352 22978949490 23669573655 23734421802 24342996720 24510879456 24970099680 25247545232 25386268008 26118150240 26261656560 26371579780 26553452744 27050941320 27125053488 27501790342 28403488386 28450127940 29131782960 29211596064 29617312676 29872634337 30138948320 30638599320 31127110560 31559431540 31645895736 31732835010 32461129584 32737133520 33191815930 33848357344 33906316860 34140153528 34958139552 36067921760 36514495080 36766319184 37021640845 37871317848 37933503920 38079402012 39177225360 39557369670 39830179116 40576411980 40851465760 41252685513 42194527648 42310446680 42675191910 43697674440 44425969014 45208422480 45520204704 45957898980 47339147310 47468843604 47599252515 48685993440 49787723895 50495090464 50772536016 52523313120 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183831595920 189356589240 189875374416 190397010060 192512532394 199150895580 206263427565 210972638240 220014322736 222129845070 227227907088 227601023520 236938501408 237344218020 238981074696 247516113078 252475452320 253862680080 265534527440 266555814084 271250534880 275017903420 284034883860 288768798591 296173126760 298726343370 304635216096 316458957360 318641432928 324611295840 330021484104 333194767605 341401535280 355407752112 367663191840 378713178480 379750748832 380794020120 385025064788 398301791160 412526855130 440028645472 444259690140 454455814176 474688436040 477962149392 481281330985 495032226156 507725360160 531069054880 533111628168 550035806840 568069767720 577537597182 592346253520 597452686740 618790282695 632917914720 660042968208 666389535210 682803070560 710815504224 757426356960 761588040240 770050129576 796603582320 825053710260 866306395773 888519380280 949376872080 955924298784 962562661970 990064452312 1066223256336 1100071613680 1136139535440 1155075194364 1184692507040 1194905373480 1237580565390 1320085936416 1332779070420 1443843992955 1523176080480 1540100259152 1593207164640 1650107420520 1732612791546 1777038760560 1898753744160 1925125323940 1980128904624 2132446512672 2200143227360 2272279070880 2310150388728 2389810746960 2475161130780 2665558140840 2887687985910 3080200518304 3300214841040 3465225583092 3554077521120 3850250647880 3960257809248 4331531978865 4620300777456 4779621493920 4950322261560 5331116281680 5775375971820 6600429682080 6930451166184 7700501295760 8663063957730 9240601554912 9900644523120 10662232563360 11550751943640 13860902332368 15401002591520 17326127915460 19801289046240 23101503887280 27721804664736 34652255830920 46203007774560 69304511661840 138609023323680
- Sum of all divisors σ(n): 620565721251840
- Sum of proper divisors (its aliquot sum) s(n): 481956697928160
- 138609023323680 is an abundant number, because the sum of its proper divisors (481956697928160) is greater than itself. Its abundance is 343347674604480
Bases of 138609023323680
- Binary: 111111000010000011011011001100100001110001000002
- Hexadecimal: 0x7E106D990E20
- Base-36: 1D4S3TPHK0
Squares and roots of 138609023323680
- 138609023323680 squared (1386090233236802) is 19212461346744466234048742400
- 138609023323680 cubed (1386090233236803) is 2663020502916204184072234349079572140032000
-
The
square root of 138609023323680 is 11773233.3419362753 -
The
cube root of 138609023323680 is 51752.4007472901
Scales and comparisons
How big is 138609023323680?- 138,609,023,323,680 seconds is equal to 4,407,338 years, 10 weeks, 1 day, 6 hours, 48 minutes.
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To count from 1 to 138,609,023,323,680 would take you about eleven million, eighteen thousand, three hundred forty-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 138609023323680 cubic inches would be around 4312.7 feet tall.
Recreational maths with 138609023323680
- 138609023323680 backwards is 086323320906831
- The number of decimal digits it has is: 15
- The sum of 138609023323680's digits is 54
- More coming soon!
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The information we have on file for 138609023323680 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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