90427073005149120
90,427,073,005,149,120 is an even composite number composed of five prime numbers multiplied together.
90427073005149120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty divisors.
Prime factorization of 90427073005149120:
26 × 34 × 5 × 1009 × 3457580579
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 1009 × 3457580579)See below for interesting mathematical facts about the number 90427073005149120 from the Numbermatics database.
Names of 90427073005149120
- Cardinal: 90427073005149120 can be written as Ninety quadrillion, four hundred twenty-seven trillion, seventy-three billion, five million, one hundred forty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.042707300514912 × 1016
Factors of 90427073005149120
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 3457581598
Divisors of 90427073005149120
- Number of divisors d(n): 280
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1009 1080 1296 1440 1620 1728 2018 2160 2592 2880 3027 3240 4036 4320 5045 5184 6054 6480 8072 8640 9081 10090 12108 12960 15135 16144 18162 20180 24216 25920 27243 30270 32288 36324 40360 45405 48432 54486 60540 64576 72648 80720 81729 90810 96864 108972 121080 136215 145296 161440 163458 181620 193728 217944 242160 272430 290592 322880 326916 363240 408645 435888 484320 544860 581184 653832 726480 817290 871776 968640 1089720 1307664 1452960 1634580 1743552 2179440 2615328 2905920 3269160 4358880 5230656 6538320 8717760 13076640 26153280 3457580579 6915161158 10372741737 13830322316 17287902895 20745483474 27660644632 31118225211 34575805790 41490966948 51863708685 55321289264 62236450422 69151611580 82981933896 93354675633 103727417370 110642578528 124472900844 138303223160 155591126055 165963867792 186709351266 207454834740 221285157056 248945801688 276606446320 280064026899 311182252110 331927735584 373418702532 414909669480 466773378165 497891603376 553212892640 560128053798 622364504220 663855471168 746837405064 829819338960 933546756330 995783206752 1106425785280 1120256107596 1244729008440 1400320134495 1493674810128 1659638677920 1867093512660 1991566413504 2240512215192 2489458016880 2800640268990 2987349620256 3319277355840 3488698804211 3734187025320 4481024430384 4978916033760 5601280537980 5974699240512 6977397608422 7468374050640 8962048860768 9957832067520 10466096412633 11202561075960 13954795216844 14936748101280 17443494021055 17924097721536 20932192825266 22405122151920 27909590433688 29873496202560 31398289237899 34886988042110 41864385650532 44810244303840 52330482063165 55819180867376 62796578475798 69773976084220 83728771301064 89620488607680 94194867713697 104660964126330 111638361734752 125593156951596 139547952168440 156991446189495 167457542602128 188389735427394 209321928252660 223276723469504 251186313903192 279095904336880 282584603141091 313982892378990 334915085204256 376779470854788 418643856505320 470974338568485 502372627806384 558191808673760 565169206282182 627965784757980 669830170408512 753558941709576 837287713010640 941948677136970 1004745255612768 1116383617347520 1130338412564364 1255931569515960 1412923015705455 1507117883419152 1674575426021280 1883897354273940 2009490511225536 2260676825128728 2511863139031920 2825846031410910 3014235766838304 3349150852042560 3767794708547880 4521353650257456 5023726278063840 5651692062821820 6028471533676608 7535589417095760 9042707300514912 10047452556127680 11303384125643640 15071178834191520 18085414601029824 22606768251287280 30142357668383040 45213536502574560 90427073005149120
- Sum of all divisors σ(n): 321983803083531600
- Sum of proper divisors (its aliquot sum) s(n): 231556730078382480
- 90427073005149120 is an abundant number, because the sum of its proper divisors (231556730078382480) is greater than itself. Its abundance is 141129657073233360
Bases of 90427073005149120
- Binary: 1010000010100001011110001100111001000110011011011110000002
- Hexadecimal: 0x14142F19C8CDBC0
- Base-36: OQDPZULFG00
Squares and roots of 90427073005149120
- 90427073005149120 squared (904270730051491202) is 8177055532278568700278033436774400
- 90427073005149120 cubed (904270730051491203) is 739427197584512628377923073549615180861163798528000
-
The
square root of 90427073005149120 is 300710945.9350442733 -
The
cube root of 90427073005149120 is 448848.2034163185
Scales and comparisons
How big is 90427073005149120?- 90,427,073,005,149,120 seconds is equal to 2,875,301,212 years, 13 weeks, 4 days, 7 hours, 12 minutes.
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To count from 1 to 90,427,073,005,149,120 would take you about eight billion, six hundred twenty-five million, nine hundred three thousand, six hundred thirty-six 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 90427073005149120 cubic inches would be around 37404 feet tall.
Recreational maths with 90427073005149120
- 90427073005149120 backwards is 02194150037072409
- 90427073005149120 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 90427073005149120's digits is 54
- More coming soon!
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