5005944036497040
5,005,944,036,497,040 is an even composite number composed of six prime numbers multiplied together.
What does the number 5005944036497040 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
5005944036497040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 5005944036497040:
24 × 3 × 5 × 7 × 133 × 1356271549
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 13 × 13 × 1356271549)See below for interesting mathematical facts about the number 5005944036497040 from the Numbermatics database.
Names of 5005944036497040
- Cardinal: 5005944036497040 can be written as Five quadrillion, five trillion, nine hundred forty-four billion, thirty-six million, four hundred ninety-seven thousand and forty.
Scientific notation
- Scientific notation: 5.00594403649704 × 1015
Factors of 5005944036497040
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 1356271579
Divisors of 5005944036497040
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 169 182 195 208 210 240 260 273 280 312 336 338 364 390 420 455 507 520 546 560 624 676 728 780 840 845 910 1014 1040 1092 1183 1352 1365 1456 1560 1680 1690 1820 2028 2184 2197 2366 2535 2704 2730 3120 3380 3549 3640 4056 4368 4394 4732 5070 5460 5915 6591 6760 7098 7280 8112 8788 9464 10140 10920 10985 11830 13182 13520 14196 15379 17576 17745 18928 20280 21840 21970 23660 26364 28392 30758 32955 35152 35490 40560 43940 46137 47320 52728 56784 61516 65910 70980 76895 87880 92274 94640 105456 123032 131820 141960 153790 175760 184548 230685 246064 263640 283920 307580 369096 461370 527280 615160 738192 922740 1230320 1845480 3690960 1356271549 2712543098 4068814647 5425086196 6781357745 8137629294 9493900843 10850172392 13562715490 16275258588 17631530137 18987801686 20344073235 21700344784 27125430980 28481702529 32550517176 35263060274 37975603372 40688146470 47469504215 52894590411 54250861960 56963405058 65101034352 70526120548 75951206744 81376292940 88157650685 94939008430 105789180822 108501723920 113926810116 123420710959 141052241096 142408512645 151902413488 162752585880 176315301370 189878016860 211578361644 227853620232 229209891781 246841421918 264472952055 282104482192 284817025290 325505171760 352630602740 370262132877 379756033720 423156723288 455707240464 458419783562 493682843836 528945904110 569634050580 617103554795 687629675343 705261205480 740524265754 759512067440 846313446576 916839567124 987365687672 1057891808220 1139268101160 1146049458905 1234207109590 1375259350686 1410522410960 1481048531508 1604469242467 1833679134248 1851310664385 1974731375344 2115783616440 2278536202320 2292098917810 2468414219180 2750518701372 2962097063016 2979728593153 3208938484934 3438148376715 3667358268496 3702621328770 4231567232880 4584197835620 4813407727401 4936828438360 5501037402744 5924194126032 5959457186306 6417876969868 6876296753430 7405242657540 8022346212335 8939185779459 9168395671240 9626815454802 9873656876720 11002074805488 11918914372612 12835753939736 13752593506860 14810485315080 14898642965765 16044692424670 17878371558918 18336791342480 19253630909604 20858100152071 23837828745224 24067038637005 25671507879472 27505187013720 29620970630160 29797285931530 32089384849340 35756743117836 38507261819208 41716200304142 44695928897295 47675657490448 48134077274010 55010374027440 59594571863060 62574300456213 64178769698680 71513486235672 77014523638416 83432400608284 89391857794590 96268154548020 104290500760355 119189143726120 125148600912426 128357539397360 143026972471344 166864801216568 178783715589180 192536309096040 208581001520710 238378287452240 250297201824852 312871502281065 333729602433136 357567431178360 385072618192080 417162003041420 500594403649704 625743004562130 715134862356720 834324006082840 1001188807299408 1251486009124260 1668648012165680 2502972018248520 5005944036497040
- Sum of all divisors σ(n): 19212617272128000
- Sum of proper divisors (its aliquot sum) s(n): 14206673235630960
- 5005944036497040 is an abundant number, because the sum of its proper divisors (14206673235630960) is greater than itself. Its abundance is 9200729199133920
Bases of 5005944036497040
- Binary: 100011100100011100001001011000000111110010110100100002
- Hexadecimal: 0x11C8E12C0F9690
- Base-36: 1DAGIXXOOEO
Squares and roots of 5005944036497040
- 5005944036497040 squared (50059440364970402) is 25059475696540278143553928761600
- 5005944036497040 cubed (50059440364970403) is 125446332920838313006713321376972430569265664000
-
The
square root of 5005944036497040 is 70752696.3196247383 -
The
cube root of 5005944036497040 is 171065.3288966817
Scales and comparisons
How big is 5005944036497040?- 5,005,944,036,497,040 seconds is equal to 159,173,535 years, 49 weeks, 6 days, 2 hours, 4 minutes.
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To count from 1 to 5,005,944,036,497,040 would take you about four hundred seventy-seven million, five hundred twenty thousand, six hundred seven 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 5005944036497040 cubic inches would be around 14255.4 feet tall.
Recreational maths with 5005944036497040
- 5005944036497040 backwards is 0407946304495005
- 5005944036497040 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 5005944036497040's digits is 60
- More coming soon!
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