138689778127680
138,689,778,127,680 is an even composite number composed of seven prime numbers multiplied together.
138689778127680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 138689778127680:
26 × 32 × 5 × 132 × 192 × 532 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 19 × 19 × 53 × 53 × 281)See below for interesting mathematical facts about the number 138689778127680 from the Numbermatics database.
Names of 138689778127680
- Cardinal: 138689778127680 can be written as One hundred thirty-eight trillion, six hundred eighty-nine billion, seven hundred seventy-eight million, one hundred twenty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3868977812768 × 1014
Factors of 138689778127680
Divisors of 138689778127680
- Number of divisors d(n): 2268
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 30 32 36 38 39 40 45 48 52 53 57 60 64 65 72 76 78 80 90 95 96 104 106 114 117 120 130 144 152 156 159 160 169 171 180 190 192 195 208 212 228 234 240 247 260 265 281 285 288 304 312 318 320 338 342 360 361 380 390 416 424 456 468 477 480 494 507 520 530 562 570 576 585 608 624 636 676 684 689 720 722 741 760 780 795 832 843 845 848 855 912 936 954 960 988 1007 1014 1040 1060 1083 1124 1140 1170 1216 1235 1248 1272 1352 1368 1378 1405 1440 1444 1482 1520 1521 1560 1590 1686 1690 1696 1710 1805 1824 1872 1908 1976 2014 2028 2067 2080 2120 2166 2223 2248 2280 2340 2385 2470 2496 2529 2535 2544 2704 2736 2756 2809 2810 2880 2888 2964 3021 3040 3042 3120 3180 3211 3249 3372 3380 3392 3420 3445 3610 3648 3653 3705 3744 3816 3952 4028 4056 4134 4160 4215 4240 4332 4446 4496 4560 4680 4693 4770 4940 5035 5058 5070 5088 5339 5408 5415 5472 5512 5618 5620 5776 5928 6042 6080 6084 6201 6240 6360 6422 6498 6744 6760 6840 6890 7220 7306 7410 7488 7605 7632 7904 8056 8112 8268 8427 8430 8480 8664 8892 8957 8992 9063 9120 9360 9386 9540 9633 9880 10070 10116 10140 10176 10335 10678 10816 10830 10944 10959 11024 11115 11236 11240 11552 11856 12084 12168 12402 12480 12645 12720 12844 12996 13091 13488 13520 13680 13780 14045 14079 14440 14612 14820 14893 15105 15210 15264 15808 16017 16055 16112 16224 16245 16536 16854 16860 16960 17328 17784 17914 17984 18126 18240 18265 18720 18772 19080 19133 19266 19760 20140 20232 20280 20670 21356 21660 21918 22048 22230 22472 22480 23104 23465 23712 24168 24336 24804 25281 25290 25440 25688 25992 26182 26695 26871 26976 27040 27360 27560 28090 28158 28880 28899 29224 29640 29786 30210 30420 30528 31005 32034 32110 32224 32448 32490 32877 33072 33708 33720 34656 35568 35828 36252 36517 36530 37440 37544 38160 38266 38532 39273 39520 40280 40464 40560 41340 42135 42237 42712 43320 43836 44096 44460 44679 44785 44944 44960 45315 46930 47424 47489 48051 48165 48336 48672 49608 50562 50580 50880 51376 51984 52364 53371 53390 53742 53952 54080 54720 54795 55120 56180 56316 57399 57760 57798 58448 59280 59572 60420 60840 61009 62010 64068 64220 64448 64980 65455 65754 66144 67416 67440 69312 69407 70395 71136 71656 72504 73034 73060 74465 75088 76320 76532 77064 78546 79040 80085 80560 80613 80928 81120 82680 84270 84474 85424 86640 87672 88920 89358 89570 89888 89920 90630 93860 94978 95665 96102 96330 96672 97344 99216 101124 101160 101441 102752 103968 104728 106742 106780 107484 109551 109590 110240 112360 112632 114798 115520 115596 116896 117819 118560 119144 120840 121680 122018 124020 126405 128136 128440 129960 130910 131508 132288 134037 134355 134832 134880 138814 140790 142272 142467 143312 144495 145008 146068 146120 148930 150176 152640 153064 154128 157092 160113 160170 161120 161226 161856 162240 164385 165360 168540 168948 170183 170848 172197 173280 175344 177840 178716 179140 179776 181260 182585 183027 187720 189956 191330 192204 192660 193344 193609 196365 198432 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4001898030 4112982744 4114446960 4193570940 4218443840 4268691232 4274216535 4303928070 4319208288 4329455520 4473142336 4543035185 4559164304 4590856608 4656206880 4679142312 4745749320 4799120320 4802277636 4925412960 4937336352 5032285128 5069070838 5129059842 5141228430 5161318080 5195346624 5297142240 5335864040 5399010360 5451642222 5483976992 5485929280 5591427920 5698955380 5738570760 5848927890 5910495552 6002847045 6169474116 6171670440 6238856416 6290356410 6327665760 6403036848 6494183280 6709713504 6838746456 6854971240 6886284912 7018713468 7198680480 7248720960 7268856296 7388119440 7408641994 7593198912 7603606257 7651427680 7711842645 7741977120 7798570520 8003796060 8177463333 8225965488 8228893920 8387141880 8537382464 8548433070 8607856140 8638416576 8658911040 8773391835 9086070370 9118328608 9181713216 9312413760 9358284624 9491498640 9604555272 9850825920 9874672704 10064570256 10138141676 10258119684 10282456860 10594284480 10671728080 10798020720 10903284444 10967953984 11112962991 11182855840 11397910760 11477141520 11697855780 12005694090 12338948232 12343340880 12477712832 12580712820 12655331520 12672677095 12806073696 12822649605 12988366560 13419427008 13629105555 13677492912 13709942480 13772569824 14037426936 14397360960 14537712592 14776238880 14817283988 15207212514 15302855360 15423685290 15483954240 15597141040 16007592120 16354926666 16451930976 16457787840 16774283760 17096866140 17215712280 17546783670 18172140740 18236657216 18521604985 18716569248 18982997280 19209110544 20129140512 20276283352 20516239368 20564913720 21343456160 21596041440 21806568888 22225925982 22365711680 22795821520 22810818771 22954283040 23395711560 24011388180 24677896464 24686681760 25161425640 25345354190 25612147392 25645299210 25976733120 27258211110 27354985824 27419884960 27545139648 28074853872 29075425184 29552477760 29634567976 30414425028 30847370580 31194282080 32015184240 32709853332 32903861952 33338888973 33548567520 34193732280 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2133688894272 2167027783245 2311496302128 2433154002240 2616788266560 2667111117840 2889370377660 3081995069504 3467244453192 3556148157120 3649731003360 3852493836880 4334055566490 4622992604256 5334222235680 5778740755320 6934488906384 7299462006720 7704987673760 8668111132980 9245985208512 10668444471360 11557481510640 13868977812768 15409975347520 17336222265960 23114963021280 27737955625536 34672444531920 46229926042560 69344889063840 138689778127680
- Sum of all divisors σ(n): 557628350095908
- Sum of proper divisors (its aliquot sum) s(n): 418938571968228
- 138689778127680 is an abundant number, because the sum of its proper divisors (418938571968228) is greater than itself. Its abundance is 280248793840548
Bases of 138689778127680
- Binary: 111111000100011001110101111010110010011010000002
- Hexadecimal: 0x7E233AF59340
- Base-36: 1D5T7D1740
Squares and roots of 138689778127680
- 138689778127680 squared (1386897781276802) is 19234854557105105726382182400
- 138689778127680 cubed (1386897781276803) is 2667677710843101665709653519355984248832000
-
The
square root of 138689778127680 is 11776662.4358380927 -
The
cube root of 138689778127680 is 51762.4492600493
Scales and comparisons
How big is 138689778127680?- 138,689,778,127,680 seconds is equal to 4,409,905 years, 49 weeks, 2 days, 8 hours, 48 minutes.
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To count from 1 to 138,689,778,127,680 would take you about eleven million, twenty-four thousand, seven hundred sixty-four 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 138689778127680 cubic inches would be around 4313.5 feet tall.
Recreational maths with 138689778127680
- 138689778127680 backwards is 086721877986831
- The number of decimal digits it has is: 15
- The sum of 138689778127680's digits is 81
- More coming soon!
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The information we have on file for 138689778127680 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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