4742688720757376880
4,742,688,720,757,376,880 is an even composite number composed of six prime numbers multiplied together.
What does the number 4742688720757376880 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
4742688720757376880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 4742688720757376880:
24 × 32 × 5 × 61 × 76403 × 1413357013
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 61 × 76403 × 1413357013)See below for interesting mathematical facts about the number 4742688720757376880 from the Numbermatics database.
Names of 4742688720757376880
- Cardinal: 4742688720757376880 can be written as Four quintillion, seven hundred forty-two quadrillion, six hundred eighty-eight trillion, seven hundred twenty billion, seven hundred fifty-seven million, three hundred seventy-six thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 4.74268872075737688 × 1018
Factors of 4742688720757376880
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 1413433487
Divisors of 4742688720757376880
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5490 7320 8784 10980 14640 21960 43920 76403 152806 229209 305612 382015 458418 611224 687627 764030 916836 1146045 1222448 1375254 1528060 1833672 2292090 2750508 3056120 3438135 3667344 4584180 4660583 5501016 6112240 6876270 9168360 9321166 11002032 13752540 13981749 18336720 18642332 23302915 27505080 27963498 37284664 41945247 46605830 55010160 55926996 69908745 74569328 83890494 93211660 111853992 139817490 167780988 186423320 209726235 223707984 279634980 335561976 372846640 419452470 559269960 671123952 838904940 1118539920 1413357013 1677809880 2826714026 3355619760 4240071039 5653428052 7066785065 8480142078 11306856104 12720213117 14133570130 16960284156 21200355195 22613712208 25440426234 28267140260 33920568312 42400710390 50880852468 56534280520 63601065585 67841136624 84801420780 86214777793 101761704936 113068561040 127202131170 169602841560 172429555586 203523409872 254404262340 258644333379 339205683120 344859111172 431073888965 508808524680 517288666758 689718222344 775933000137 862147777930 1017617049360 1034577333516 1293221666895 1379436444688 1551866000274 1724295555860 2069154667032 2586443333790 3103732000548 3448591111720 3879665000685 4138309334064 5172886667580 6207464001096 6897182223440 7759330001370 10345773335160 12414928002192 15518660002740 20691546670320 31037320005480 62074640010960 107984715864239 215969431728478 323954147592717 431938863456956 539923579321195 647908295185434 863877726913912 971862442778151 1079847158642390 1295816590370868 1619770737963585 1727755453827824 1943724885556302 2159694317284780 2591633180741736 3239541475927170 3887449771112604 4319388634569560 4859312213890755 5183266361483472 6479082951854340 6587067667718579 7774899542225208 8638777269139120 9718624427781510 12958165903708680 13174135335437158 15549799084450416 19437248855563020 19761203003155737 25916331807417360 26348270670874316 32935338338592895 38874497711126040 39522406006311474 52696541341748632 59283609009467211 65870676677185790 77748995422252080 79044812012622948 98806015015778685 105393082683497264 118567218018934422 131741353354371580 158089624025245896 197612030031557370 237134436037868844 263482706708743160 296418045047336055 316179248050491792 395224060063114740 474268872075737688 526965413417486320 592836090094672110 790448120126229480 948537744151475376 1185672180189344220 1580896240252458960 2371344360378688440 4742688720757376880
- Sum of all divisors σ(n): 16188848559787396896
- Sum of proper divisors (its aliquot sum) s(n): 11446159839030020016
- 4742688720757376880 is an abundant number, because the sum of its proper divisors (11446159839030020016) is greater than itself. Its abundance is 6703471118272643136
Bases of 4742688720757376880
- Binary: 1000001110100010110101001000011100000001111111011000111011100002
- Hexadecimal: 0x41D16A4380FEC770
- Base-36: 1016EU868XKS0
Squares and roots of 4742688720757376880
- 4742688720757376880 squared (47426887207573768802) is 22493096301999243971703206938358534400
- 4742688720757376880 cubed (47426887207573768803) is 106677754126401278931872523896026139571580307105244672000
-
The
square root of 4742688720757376880 is 2177771503.3394520199 -
The
cube root of 4742688720757376880 is 1680124.7924067913
Scales and comparisons
How big is 4742688720757376880?- 4,742,688,720,757,376,880 seconds is equal to 150,802,831,220 years, 34 weeks, 3 days, 11 hours, 48 minutes.
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To count from 1 to 4,742,688,720,757,376,880 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 4742688720757376880 cubic inches would be around 140010.4 feet tall.
Recreational maths with 4742688720757376880
- 4742688720757376880 backwards is 0886737570278862474
- The number of decimal digits it has is: 19
- The sum of 4742688720757376880's digits is 99
- More coming soon!
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