480890789834860080
480,890,789,834,860,080 is an even composite number composed of seven prime numbers multiplied together.
What does the number 480890789834860080 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
480890789834860080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 480890789834860080:
24 × 32 × 5 × 13 × 61 × 73 × 11537664751
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 61 × 73 × 11537664751)See below for interesting mathematical facts about the number 480890789834860080 from the Numbermatics database.
Names of 480890789834860080
- Cardinal: 480890789834860080 can be written as Four hundred eighty quadrillion, eight hundred ninety trillion, seven hundred eighty-nine billion, eight hundred thirty-four million, eight hundred sixty thousand and eighty.
Scientific notation
- Scientific notation: 4.8089078983486008 × 1017
Factors of 480890789834860080
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 11537664908
Divisors of 480890789834860080
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 61 65 72 73 78 80 90 104 117 120 122 130 144 146 156 180 183 195 208 219 234 240 244 260 292 305 312 360 365 366 390 438 468 488 520 549 584 585 610 624 657 720 730 732 780 793 876 915 936 949 976 1040 1095 1098 1168 1170 1220 1314 1460 1464 1560 1586 1752 1830 1872 1898 2190 2196 2340 2379 2440 2628 2745 2847 2920 2928 3120 3172 3285 3504 3660 3796 3965 4380 4392 4453 4680 4745 4758 4880 5256 5490 5694 5840 6344 6570 7137 7320 7592 7930 8541 8760 8784 8906 9360 9490 9516 10512 10980 11388 11895 12688 13140 13359 14235 14274 14640 15184 15860 17082 17520 17812 18980 19032 21960 22265 22776 23790 26280 26718 28470 28548 31720 34164 35624 35685 37960 38064 40077 42705 43920 44530 45552 47580 52560 53436 56940 57096 57889 63440 66795 68328 71248 71370 75920 80154 85410 89060 95160 106872 113880 114192 115778 133590 136656 142740 160308 170820 173667 178120 190320 200385 213744 227760 231556 267180 285480 289445 320616 341640 347334 356240 400770 463112 521001 534360 570960 578890 641232 683280 694668 801540 868335 926224 1042002 1068720 1157780 1389336 1603080 1736670 2084004 2315560 2605005 2778672 3206160 3473340 4168008 4631120 5210010 6946680 8336016 10420020 13893360 20840040 41680080 11537664751 23075329502 34612994253 46150659004 57688323755 69225988506 92301318008 103838982759 115376647510 138451977012 149989641763 173064971265 184602636016 207677965518 230753295020 276903954024 299979283526 346129942530 415355931036 449968925289 461506590040 519194913795 553807908048 599958567052 692259885060 703797549811 749948208815 830711862072 842249526823 899937850578 923013180080 1038389827590 1199917134104 1349906775867 1384519770120 1407595099622 1499896417630 1661423724144 1684499053646 1799875701156 2076779655180 2111392649433 2249844626445 2399834268208 2526748580469 2699813551734 2769039540240 2815190199244 2999792835260 3368998107292 3518987749055 3599751402312 4153559310360 4211247634115 4222785298866 4499689252890 5053497160938 5399627103468 5630380398488 5999585670520 6334177948299 6737996214584 6749533879335 7037975498110 7199502804624 7580245741407 8307118620720 8422495268230 8445570597732 8999378505780 9149368147543 10106994321876 10556963247165 10799254206936 10949243848699 11260760796976 11999171341040 12633742902345 12668355896598 13475992429168 13499067758670 14075950996220 15160491482814 16844990536460 16891141195464 17998757011560 18298736295086 20213988643752 21113926494330 21598508413872 21898487697398 25267485804690 25336711793196 26998135517340 27448104442629 28151901992440 30320982965628 31670889741495 32847731546097 33689981072920 33782282390928 35997514023120 36597472590172 37901228707035 40427977287504 42227852988660 43796975394796 45746840737715 50534971609380 50673423586392 51377221136203 53996271034680 54746219243495 54896208885258 56303803984880 60641965931256 63341779482990 65695463092194 67379962145840 73194945180344 75802457414070 82344313327887 84455705977320 87593950789592 91493681475430 98543194638291 101069943218760 101346847172784 102754442272406 107992542069360 109492438486990 109792417770516 121283931862512 126683558965980 131390926184388 137240522213145 146389890360688 151604914828140 154131663408609 164238657730485 164688626655774 168911411954640 175187901579184 182987362950860 197086389276582 202139886437520 205508884544812 218984876973980 219584835541032 253367117931960 256886105681015 262781852368776 274481044426290 303209829656280 308263326817218 328477315460970 329377253311548 365974725901720 394172778553164 411017769089624 411721566639435 437969753947960 439169671082064 462394990225827 492715973191455 506734235863920 513772211362030 525563704737552 548962088852580 606419659312560 616526653634436 656954630921940 658754506623096 667903874770639 731949451803440 770658317043045 788345557106328 822035538179248 823443133278870 875939507895920 924789980451654 985431946382910 1027544422724060 1097924177705160 1233053307268872 1313909261843880 1317509013246192 1335807749541278 1541316634086090 1576691114212656 1646886266557740 1849579960903308 1970863892765820 2003711624311917 2055088845448120 2195848355410320 2311974951129135 2466106614537744 2627818523687760 2671615499082556 3082633268172180 3293772533115480 3339519373853195 3699159921806616 3941727785531640 4007423248623834 4110177690896240 4623949902258270 5343230998165112 6011134872935751 6165266536344360 6587545066230960 6679038747706390 7398319843613232 7883455571063280 8014846497247668 9247899804516540 10018558121559585 10686461996330224 12022269745871502 12330533072688720 13358077495412780 16029692994495336 18495799609033080 20037116243119170 24044539491743004 26716154990825560 30055674364678755 32059385988990672 36991599218066160 40074232486238340 48089078983486008 53432309981651120 60111348729357510 80148464972476680 96178157966972016 120222697458715020 160296929944953360 240445394917430040 480890789834860080
- Sum of all divisors σ(n): 1791949048723421952
- Sum of proper divisors (its aliquot sum) s(n): 1311058258888561872
- 480890789834860080 is an abundant number, because the sum of its proper divisors (1311058258888561872) is greater than itself. Its abundance is 830167469053701792
Bases of 480890789834860080
- Binary: 110101011000111011110100000000111111101110100100110001100002
- Hexadecimal: 0x6AC77A01FDD2630
- Base-36: 3NJ1K31FFAK0
Squares and roots of 480890789834860080
- 480890789834860080 squared (4808907898348600802) is 231255951747995566848597593177606400
- 480890789834860080 cubed (4808907898348600803) is 111208857290105879687132058905545693355513533312512000
-
The
square root of 480890789834860080 is 693462897.2301691067 -
The
cube root of 480890789834860080 is 783457.5795182239
Scales and comparisons
How big is 480890789834860080?- 480,890,789,834,860,080 seconds is equal to 15,290,839,623 years, 45 weeks, 1 day, 15 hours, 48 minutes.
-
To count from 1 to 480,890,789,834,860,080 would take you about forty-five billion, eight hundred seventy-two million, five hundred eighteen thousand, eight hundred seventy-one 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 480890789834860080 cubic inches would be around 65288.1 feet tall.
Recreational maths with 480890789834860080
- 480890789834860080 backwards is 080068438987098084
- 480890789834860080 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 480890789834860080's digits is 90
- More coming soon!
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