5138346948770200
5,138,346,948,770,200 is an even composite number composed of six prime numbers multiplied together.
5138346948770200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 5138346948770200:
23 × 52 × 11 × 292 × 1512 × 3492
(2 × 2 × 2 × 5 × 5 × 11 × 29 × 29 × 151 × 151 × 349 × 349)See below for interesting mathematical facts about the number 5138346948770200 from the Numbermatics database.
Names of 5138346948770200
- Cardinal: 5138346948770200 can be written as Five quadrillion, one hundred thirty-eight trillion, three hundred forty-six billion, nine hundred forty-eight million, seven hundred seventy thousand, two hundred.
Scientific notation
- Scientific notation: 5.1383469487702 × 1015
Factors of 5138346948770200
Divisors of 5138346948770200
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 145 151 200 220 232 275 290 302 319 349 440 550 580 604 638 698 725 755 841 1100 1160 1208 1276 1396 1450 1510 1595 1661 1682 1745 2200 2552 2792 2900 3020 3190 3322 3364 3490 3775 3839 4205 4379 5800 6040 6380 6644 6728 6980 7550 7678 7975 8305 8410 8725 8758 9251 10121 12760 13288 13960 15100 15356 15950 16610 16820 17450 17516 18502 19195 20242 21025 21895 22801 30200 30712 31900 33220 33640 34900 35032 37004 38390 40484 41525 42050 43790 45602 46255 48169 50605 52699 63800 66440 69800 74008 76780 80968 83050 84100 87580 91204 92510 95975 96338 101210 105398 109475 111331 114005 121801 126991 153560 166100 168200 175160 182408 185020 191950 192676 202420 210796 218950 222662 228010 231275 240845 243602 250811 253025 253982 263495 293509 332200 370040 383900 385352 404840 421592 437900 445324 456020 462550 481690 487204 501622 506050 507964 526990 556655 570025 579689 587018 609005 634955 661229 767800 875800 890648 912040 925100 963380 974408 1003244 1012100 1015928 1053980 1113310 1140050 1159378 1174036 1204225 1218010 1254055 1269910 1317475 1322458 1339811 1396901 1467545 1528271 1850200 1926760 2006488 2024200 2107960 2226620 2280100 2318756 2348072 2408450 2436020 2508110 2539820 2634950 2644916 2679622 2783275 2793802 2898445 2935090 3045025 3056542 3174775 3228599 3306145 3532229 4453240 4560200 4637512 4816900 4872040 5016220 5079640 5269900 5289832 5359244 5566550 5587604 5796890 5870180 6090050 6113084 6270275 6349550 6457198 6612290 6699055 6984505 7064458 7273519 7337725 7641355 7957549 9633800 10032440 10539800 10718488 11133100 11175208 11593780 11740360 12180100 12226168 12540550 12699100 12914396 13224580 13398110 13969010 14128916 14492225 14547038 14675450 15282710 15915098 16142995 16530725 16810981 17661145 18391951 19175641 22266200 23187560 24360200 25081100 25398200 25828792 26449160 26796220 27938020 28257832 28984450 29094076 29350900 30565420 31830196 32285990 33061450 33495275 33621962 34922525 35322290 36367595 36783902 38206775 38351282 38854519 39787745 44319859 50162200 53592440 55876040 57968900 58188152 58701800 61130840 63660392 64571980 66122900 66990550 67243924 69845050 70644580 72735190 73567804 76413550 76702564 77709038 79575490 80714975 84054905 87533039 88305725 88639718 91959755 95878205 102434641 115937800 129143960 132245800 133981100 134487848 139690100 141289160 145470380 147135608 152827100 153405128 155418076 159150980 161429950 168109810 175066078 176611450 177279436 181837975 183919510 191756410 194272595 198938725 202311461 204869282 210932051 221599295 230768921 267962200 279380200 290940760 305654200 310836152 318301960 322859900 336219620 350132156 353222900 354558872 363675950 367839020 383512820 388545190 397877450 404622922 409738564 420274525 421864102 437665195 443198590 459798775 461537842 479391025 487518449 512173205 533366579 645719800 672439240 700264312 706445800 727351900 735678040 767025640 777090380 795754900 809245844 819477128 840549050 843728204 875330390 886397180 919597550 923075684 958782050 971362975 975036898 1011557305 1024346410 1054660255 1066733158 1107996475 1126781051 1153844605 1454703800 1554180760 1591509800 1618491688 1681098100 1687456408 1750660780 1772794360 1839195100 1846151368 1917564100 1942725950 1950073796 2023114610 2048692820 2109320510 2133466316 2188325975 2215992950 2253562102 2307689210 2437592245 2538458131 2560866025 2666832895 2777184601 3362196200 3501321560 3678390200 3835128200 3885451900 3900147592 4046229220 4097385640 4218641020 4266932632 4376651950 4431985900 4507124204 4615378420 4875184490 5057786525 5076916262 5121732050 5273301275 5333665790 5554369202 5633905255 5769223025 5867032369 6692298709 7770903800 8092458440 8437282040 8753303900 8863971800 9014248408 9230756840 9750368980 10115573050 10153832524 10243464100 10546602550 10667331580 11108738404 11267810510 11538446050 11734064738 12187961225 12692290655 13334164475 13384597418 13885923005 15467630791 17506607800 19500737960 20231146100 20307665048 20486928200 21093205100 21334663160 22217476808 22535621020 23076892100 23468129476 24375922450 25384581310 26668328950 26769194836 27771846010 28169526275 29335161845 30549030611 30935261582 33461493545 40462292200 42186410200 45071242040 46153784200 46936258952 48751844900 50769162620 53336657900 53538389672 55543692020 56339052550 58670323690 61098061222 61870523164 63461453275 66922987090 69429615025 73615285799 77338153955 80538353429 97503689800 101538325240 106673315800 111087384040 112678105100 117340647380 122196122444 123741046328 126922906550 133845974180 138859230050 146675809225 147230571598 152745153055 154676307910 161076706858 167307467725 170143938701 225356210200 234681294760 244392244888 253845813100 267691948360 277718460100 293351618450 294461143196 305490306110 309352615820 322153413716 334614935450 340287877402 368076428995 386690769775 402691767145 507691626200 555436920200 586703236900 588922286392 610980612220 618705231640 644306827432 669229870900 680575754804 736152857990 763725765275 773381539550 805383534290 850719693505 885921887719 1173406473800 1221961224440 1338459741800 1361151509608 1472305715980 1527451530550 1546763079100 1610767068580 1701439387010 1771843775438 1840382144975 2013458835725 2335612249441 2944611431960 3054903061100 3093526158200 3221534137160 3402878774020 3543687550876 3680764289950 4026917671450 4253598467525 4429609438595 4671224498882 6109806122200 6805757548040 7087375101752 7361528579900 8053835342900 8507196935050 8859218877190 9342448997764 11678061247205 14723057159800 16107670685800 17014393870100 17718437754380 18684897995528 22148047192975 23356122494410 25691734743851 34028787740200 35436875508760 44296094385950 46712244988820 51383469487702 58390306236025 88592188771900 93424489977640 102766938975404 116780612472050 128458673719255 177184377543800 205533877950808 233561224944100 256917347438510 467122449888200 513834694877020 642293368596275 1027669389754040 1284586737192550 2569173474385100 5138346948770200
- Sum of all divisors σ(n): 13626641720322540
- Sum of proper divisors (its aliquot sum) s(n): 8488294771552340
- 5138346948770200 is an abundant number, because the sum of its proper divisors (8488294771552340) is greater than itself. Its abundance is 3349947822782140
Bases of 5138346948770200
- Binary: 100100100000101001100101000001001110100111001100110002
- Hexadecimal: 0x12414CA09D3998
- Base-36: 1ELE4013ZX4
Squares and roots of 5138346948770200
- 5138346948770200 squared (51383469487702002) is 26402609365936024343292408040000
- 5138346948770200 cubed (51383469487702003) is 135665767275028875581254175073108474592408000000
-
The
square root of 5138346948770200 is 71682263.8368111251 -
The
cube root of 5138346948770200 is 172560.4011544339
Scales and comparisons
How big is 5138346948770200?- 5,138,346,948,770,200 seconds is equal to 163,383,539 years, 1 week, 8 hours, 36 minutes, 40 seconds.
-
To count from 1 to 5,138,346,948,770,200 would take you about four hundred ninety million, one hundred fifty thousand, six hundred seventeen 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 5138346948770200 cubic inches would be around 14380 feet tall.
Recreational maths with 5138346948770200
- 5138346948770200 backwards is 0020778496438315
- The number of decimal digits it has is: 16
- The sum of 5138346948770200's digits is 67
- More coming soon!
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