138884420332418640
138,884,420,332,418,640 is an even composite number composed of seven prime numbers multiplied together.
138884420332418640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138884420332418640:
24 × 3 × 5 × 11 × 17 × 464137 × 6667369
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 17 × 464137 × 6667369)See below for interesting mathematical facts about the number 138884420332418640 from the Numbermatics database.
Names of 138884420332418640
- Cardinal: 138884420332418640 can be written as One hundred thirty-eight quadrillion, eight hundred eighty-four trillion, four hundred twenty billion, three hundred thirty-two million, four hundred eighteen thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3888442033241864 × 1017
Factors of 138884420332418640
Divisors of 138884420332418640
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 132 136 165 170 176 187 204 220 240 255 264 272 330 340 374 408 440 510 528 561 660 680 748 816 880 935 1020 1122 1320 1360 1496 1870 2040 2244 2640 2805 2992 3740 4080 4488 5610 7480 8976 11220 14960 22440 44880 464137 928274 1392411 1856548 2320685 2784822 3713096 4641370 5105507 5569644 6667369 6962055 7426192 7890329 9282740 10211014 11139288 13334738 13924110 15316521 15780658 18565480 20002107 20422028 22278576 23670987 25527535 26669476 27848220 30633042 31561316 33336845 37130960 39451645 40004214 40844056 47341974 51055070 53338952 55696440 61266084 63122632 66673690 73341059 76582605 78903290 80008428 81688112 86793619 94683948 100010535 102110140 106677904 111392880 113345273 118354935 122532168 126245264 133347380 146682118 153165210 157806580 160016856 173587238 189367896 200021070 204220280 220023177 226690546 236709870 245064336 260380857 266694760 293364236 306330420 315613160 320033712 340035819 347174476 366705295 378735792 400042140 408440560 433968095 440046354 453381092 473419740 520761714 533389520 566726365 586728472 612660840 631226320 680071638 694348952 733410590 800084280 867936190 880092708 906762184 946839480 1041523428 1100115885 1133452730 1173456944 1225321680 1246798003 1301904285 1360143276 1388697904 1466821180 1600168560 1700179095 1735872380 1760185416 1813524368 1893678960 2083046856 2200231770 2266905460 2493596006 2603808570 2720286552 2933642360 3400358190 3471744760 3520370832 3740394009 4166093712 4400463540 4533810920 4987192012 5207617140 5440573104 5867284720 6233990015 6800716380 6943489520 7480788018 8800927080 9067621840 9974384024 10415234280 12467980030 13601432760 14961576036 17601854160 18701970045 19948768048 20830468560 24935960060 27202865520 29923152072 37403940090 49871920120 59846304144 74807880180 99743840240 149615760360 299231520720 3094572645553 6189145291106 9283717936659 12378290582212 15472863227765 18567435873318 24756581164424 30945726455530 34040299101083 37134871746636 46418589683295 49513162328848 52607734974401 61891452911060 68080598202166 74269743493272 92837179366590 102120897303249 105215469948802 123782905822120 136161196404332 148539486986544 157823204923203 170201495505415 185674358733180 204241794606498 210430939897604 247565811644240 263038674872005 272322392808664 315646409846406 340402991010830 371348717466360 408483589212996 420861879795208 510604486516245 526077349744010 544644785617328 578685084718411 631292819692812 680805982021660 742697434932720 789116024616015 816967178425992 841723759590416 1021208973032490 1052154699488020 1157370169436822 1262585639385624 1361611964043320 1578232049232030 1633934356851984 1736055254155233 2042417946064980 2104309398976040 2314740338873644 2525171278771248 2723223928086640 2893425423592055 3156464098464060 3472110508310466 4084835892129960 4208618797952080 4629480677747288 5786850847184110 6312928196928120 6944221016620932 8169671784259920 8680276270776165 9258961355494576 11573701694368220 12625856393856240 13888442033241864 17360552541552330 23147403388736440 27776884066483728 34721105083104660 46294806777472880 69442210166209320 138884420332418640
- Sum of all divisors σ(n): 497311348492650240
- Sum of proper divisors (its aliquot sum) s(n): 358426928160231600
- 138884420332418640 is an abundant number, because the sum of its proper divisors (358426928160231600) is greater than itself. Its abundance is 219542507827812960
Bases of 138884420332418640
- Binary: 1111011010110101010100100111110101011111111110110010100002
- Hexadecimal: 0x1ED6AA4FABFF650
- Base-36: 11ZIF1W8GBIO
Squares and roots of 138884420332418640
- 138884420332418640 squared (1388844203324186402) is 19288882211071940137679752219449600
- 138884420332418640 cubed (1388844203324186403) is 2678925224745027976021099815470886403558417580544000
-
The
square root of 138884420332418640 is 372672001.0041251275 -
The
cube root of 138884420332418640 is 517866.5303285111
Scales and comparisons
How big is 138884420332418640?- 138,884,420,332,418,640 seconds is equal to 4,416,094,968 years, 44 weeks, 2 days, 6 hours, 4 minutes.
-
To count from 1 to 138,884,420,332,418,640 would take you about thirteen billion, two hundred forty-eight million, two hundred eighty-four thousand, nine hundred six 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 138884420332418640 cubic inches would be around 43155.5 feet tall.
Recreational maths with 138884420332418640
- 138884420332418640 backwards is 046814233024488831
- The number of decimal digits it has is: 18
- The sum of 138884420332418640's digits is 69
- More coming soon!
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