480148088700672000
480,148,088,700,672,000 is an even composite number composed of five prime numbers multiplied together.
480148088700672000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 480148088700672000:
211 × 32 × 53 × 73 × 1574
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 157 × 157 × 157 × 157)See below for interesting mathematical facts about the number 480148088700672000 from the Numbermatics database.
Names of 480148088700672000
- Cardinal: 480148088700672000 can be written as Four hundred eighty quadrillion, one hundred forty-eight trillion, eighty-eight billion, seven hundred million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 4.80148088700672 × 1017
Factors of 480148088700672000
Divisors of 480148088700672000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 125 126 128 140 144 147 150 157 160 168 175 180 192 196 200 210 224 225 240 245 250 252 256 280 288 294 300 314 315 320 336 343 350 360 375 384 392 400 420 441 448 450 471 480 490 500 504 512 525 560 576 588 600 628 630 640 672 686 700 720 735 750 768 784 785 800 840 875 882 896 900 942 960 980 1000 1008 1024 1029 1050 1099 1120 1125 1152 1176 1200 1225 1256 1260 1280 1344 1372 1400 1413 1440 1470 1500 1536 1568 1570 1575 1600 1680 1715 1750 1764 1792 1800 1884 1920 1960 2000 2016 2048 2058 2100 2198 2205 2240 2250 2304 2352 2355 2400 2450 2512 2520 2560 2625 2688 2744 2800 2826 2880 2940 3000 3072 3087 3136 3140 3150 3200 3297 3360 3430 3500 3528 3584 3600 3675 3768 3840 3920 3925 4000 4032 4116 4200 4396 4410 4480 4500 4608 4704 4710 4800 4900 5024 5040 5120 5145 5250 5376 5488 5495 5600 5652 5760 5880 6000 6125 6144 6174 6272 6280 6300 6400 6594 6720 6860 7000 7056 7065 7168 7200 7350 7536 7680 7693 7840 7850 7875 8000 8064 8232 8400 8575 8792 8820 8960 9000 9216 9408 9420 9600 9800 9891 10048 10080 10240 10290 10500 10752 10976 10990 11025 11200 11304 11520 11760 11775 12000 12250 12348 12544 12560 12600 12800 13188 13440 13720 14000 14112 14130 14336 14400 14700 15072 15360 15386 15435 15680 15700 15750 16000 16128 16464 16485 16800 17150 17584 17640 17920 18000 18375 18432 18816 18840 19200 19600 19625 19782 20096 20160 20580 21000 21504 21952 21980 22050 22400 22608 23040 23079 23520 23550 24000 24500 24649 24696 25088 25120 25200 25600 25725 26376 26880 27440 27475 28000 28224 28260 28800 29400 30144 30720 30772 30870 31360 31400 31500 32000 32256 32928 32970 33600 34300 35168 35280 35325 35840 36000 36750 37632 37680 38400 38465 39200 39250 39564 40192 40320 41160 42000 42875 43008 43904 43960 44100 44800 45216 46080 46158 47040 47100 48000 49000 49298 49392 49455 50176 50240 50400 51200 51450 52752 53760 53851 54880 54950 55125 56000 56448 56520 57600 58800 58875 60288 61544 61740 62720 62800 63000 64000 64512 65856 65940 67200 68600 69237 70336 70560 70650 71680 72000 73500 73947 75264 75360 76800 76930 77175 78400 78500 79128 80384 80640 82320 82425 84000 85750 87808 87920 88200 89600 90432 92160 92316 94080 94200 96000 98000 98596 98784 98910 100352 100480 100800 102900 105504 107520 107702 109760 109900 110250 112000 112896 113040 115200 115395 117600 117750 120576 123088 123245 123480 125440 125600 126000 128000 128625 129024 131712 131880 134400 137200 137375 138474 140672 141120 141300 144000 147000 147894 150528 150720 153600 153860 154350 156800 157000 158256 160768 161280 161553 164640 164850 168000 171500 172543 175616 175840 176400 176625 179200 180864 184632 188160 188400 192000 192325 196000 197192 197568 197820 200960 201600 205800 211008 215040 215404 219520 219800 220500 221841 224000 225792 226080 230400 230790 235200 235500 241152 246176 246490 246960 247275 250880 251200 252000 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190534955833600 191141755056000 195978811714560 200061703625280 203884538726400 204144595536000 208397607943000 213399150533632 214351825312800 217754235238400 218447720064000 228641947000320 233308109184000 234447308935875 238168694792000 240074044350336 244973514643200 250077129531600 254855673408000 266748938167040 267939781641000 272192794048000 274370336400384 279969731020800 285802433750400 300092555437920 304855929333760 305826808089600 306216893304000 312596411914500 320098725800448 326631352857600 333436172708800 339807564544000 342962920500480 349962163776000 357253042188000 375115694297400 381069911667200 382283510112000 391957623429120 400123407250560 408289191072000 416795215886000 426798301067264 428703650625600 436895440128000 457283894000640 466616218368000 468894617871750 476337389584000 480148088700672 489947029286400 500154259063200 509711346816000 533497876334080 535879563282000 544385588096000 548740672800768 571604867500800 600185110875840 611653616179200 612433786608000 625192823829000 640197451600896 653262705715200 666872345417600 685925841000960 699924327552000 714506084376000 750231388594800 762139823334400 764567020224000 800246814501120 816578382144000 833590431772000 857407301251200 914567788001280 937789235743500 952674779168000 960296177401344 979894058572800 1000308518126400 1019422693632000 1066995752668160 1071759126564000 1088771176192000 1143209735001600 1200370221751680 1224867573216000 1250385647658000 1280394903201792 1333744690835200 1371851682001920 1399848655104000 1429012168752000 1500462777189600 1524279646668800 1529134040448000 1600493629002240 1633156764288000 1667180863544000 1714814602502400 1875578471487000 1905349558336000 1920592354802688 1959788117145600 2000617036252800 2133991505336320 2143518253128000 2286419470003200 2400740443503360 2449735146432000 2500771295316000 2667489381670400 2743703364003840 2858024337504000 3000925554379200 3058268080896000 3200987258004480 3266313528576000 3334361727088000 3429629205004800 3751156942974000 3810699116672000 3841184709605376 4001234072505600 4287036506256000 4572838940006400 4801480887006720 4899470292864000 5001542590632000 5334978763340800 5716048675008000 6001851108758400 6401974516008960 6668723454176000 6859258410009600 7502313885948000 7621398233344000 8002468145011200 8574073012512000 9602961774013440 9798940585728000 10003085181264000 10669957526681600 11432097350016000 12003702217516800 13337446908352000 13718516820019200 15004627771896000 16004936290022400 17148146025024000 19205923548026880 20006170362528000 22864194700032000 24007404435033600 26674893816704000 30009255543792000 32009872580044800 34296292050048000 40012340725056000 48014808870067200 53349787633408000 60018511087584000 68592584100096000 80024681450112000 96029617740134400 120037022175168000 160049362900224000 240074044350336000 480148088700672000
- Sum of all divisors σ(n): 2031213207487464000
- Sum of proper divisors (its aliquot sum) s(n): 1551065118786792000
- 480148088700672000 is an abundant number, because the sum of its proper divisors (1551065118786792000) is greater than itself. Its abundance is 1070917030086120000
Bases of 480148088700672000
- Binary: 110101010011101010000100100100010101001011000011000000000002
- Hexadecimal: 0x6A9D4248A961800
- Base-36: 3NBQAIUK3R40
Squares and roots of 480148088700672000
- 480148088700672000 squared (4801480887006720002) is 230542187082908386721213251584000000
- 480148088700672000 cubed (4801480887006720003) is 110694390492731214671110716929046502805864448000000000
-
The
square root of 480148088700672000 is 692927188.5996911869 -
The
cube root of 480148088700672000 is 783054.0404631633
Scales and comparisons
How big is 480148088700672000?- 480,148,088,700,672,000 seconds is equal to 15,267,224,025 years, 6 weeks, 4 days, 16 hours.
-
To count from 1 to 480,148,088,700,672,000 would take you about forty-five billion, eight hundred one million, six hundred seventy-two thousand and seventy-five 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 480148088700672000 cubic inches would be around 65254.5 feet tall.
Recreational maths with 480148088700672000
- 480148088700672000 backwards is 000276007880841084
- 480148088700672000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 480148088700672000's digits is 63
- More coming soon!
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Cite this page
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"Number 480148088700672000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
APA style:
Numbermatics. (2024). Number 480148088700672000 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/480148088700672000/
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Numbermatics. 2024. "Number 480148088700672000 - Facts about the integer". https://numbermatics.com/n/480148088700672000/
The information we have on file for 480148088700672000 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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