83949028361648640
83,949,028,361,648,640 is an even composite number composed of six prime numbers multiplied together.
83949028361648640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 83949028361648640:
29 × 32 × 5 × 29 × 67 × 1875255287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 29 × 67 × 1875255287)See below for interesting mathematical facts about the number 83949028361648640 from the Numbermatics database.
Names of 83949028361648640
- Cardinal: 83949028361648640 can be written as Eighty-three quadrillion, nine hundred forty-nine trillion, twenty-eight billion, three hundred sixty-one million, six hundred forty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 8.394902836164864 × 1016
Factors of 83949028361648640
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 1875255393
Divisors of 83949028361648640
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 64 67 72 80 87 90 96 116 120 128 134 144 145 160 174 180 192 201 232 240 256 261 268 288 290 320 335 348 360 384 402 435 464 480 512 522 536 576 580 603 640 670 696 720 768 804 870 928 960 1005 1044 1072 1152 1160 1206 1280 1305 1340 1392 1440 1536 1608 1740 1856 1920 1943 2010 2088 2144 2304 2320 2412 2560 2610 2680 2784 2880 3015 3216 3480 3712 3840 3886 4020 4176 4288 4608 4640 4824 5220 5360 5568 5760 5829 6030 6432 6960 7424 7680 7772 8040 8352 8576 9280 9648 9715 10440 10720 11136 11520 11658 12060 12864 13920 14848 15544 16080 16704 17152 17487 18560 19296 19430 20880 21440 22272 23040 23316 24120 25728 27840 29145 31088 32160 33408 34304 34974 37120 38592 38860 41760 42880 44544 46632 48240 51456 55680 58290 62176 64320 66816 69948 74240 77184 77720 83520 85760 87435 93264 96480 102912 111360 116580 124352 128640 133632 139896 154368 155440 167040 171520 174870 186528 192960 222720 233160 248704 257280 279792 308736 310880 334080 349740 373056 385920 466320 497408 514560 559584 621760 668160 699480 746112 771840 932640 994816 1119168 1243520 1398960 1492224 1543680 1865280 2238336 2487040 2797920 2984448 3730560 4476672 4974080 5595840 7461120 8953344 11191680 14922240 22383360 44766720 1875255287 3750510574 5625765861 7501021148 9376276435 11251531722 15002042296 16877297583 18752552870 22503063444 28128829305 30004084592 33754595166 37505105740 45006126888 54382403323 56257658610 60008169184 67509190332 75010211480 84386487915 90012253776 108764806646 112515317220 120016338368 125642104229 135018380664 150020422960 163147209969 168772975830 180024507552 217529613292 225030634440 240032676736 251284208458 270036761328 271912016615 300040845920 326294419938 337545951660 360049015104 376926312687 435059226584 450061268880 480065353472 489441629907 502568416916 540073522656 543824033230 600081691840 628210521145 652588839876 675091903320 720098030208 753852625374 815736049845 870118453168 900122537760 960130706944 978883259814 1005136833832 1080147045312 1087648066460 1130778938061 1200163383680 1256421042290 1305177679752 1350183806640 1440196060416 1507705250748 1631472099690 1740236906336 1800245075520 1884631563435 1957766519628 2010273667664 2160294090624 2175296132920 2261557876122 2400326767360 2447208149535 2512842084580 2610355359504 2700367613280 2880392120832 3015410501496 3262944199380 3480473812672 3600490151040 3643621022641 3769263126870 3915533039256 4020547335328 4320588181248 4350592265840 4523115752244 4800653534720 4894416299070 5025684169160 5220710719008 5400735226560 5653894690305 6030821002992 6525888398760 6960947625344 7200980302080 7287242045282 7538526253740 7831066078512 8041094670656 8641176362496 8701184531680 9046231504488 9788832598140 10051368338320 10441421438016 10801470453120 10930863067923 11307789380610 12061642005984 13051776797520 13921895250688 14401960604160 14574484090564 15077052507480 15662132157024 16082189341312 17402369063360 18092463008976 18218105113205 19577665196280 20102736676640 20882842876032 21602940906240 21861726135846 22615578761220 24123284011968 26103553595040 27843790501376 29148968181128 30154105014960 31324264314048 32164378682624 32792589203769 34804738126720 36184926017952 36436210226410 39155330392560 40205473353280 41765685752064 43205881812480 43723452271692 45231157522440 48246568023936 52207107190080 54654315339615 58297936362256 60308210029920 62648528628096 64328757365248 65585178407538 69609476253440 72369852035904 72872420452820 78310660785120 80410946706560 83531371504128 87446904543384 90462315044880 96493136047872 104414214380160 109308630679230 116595872724512 120616420059840 125297057256192 131170356815076 139218952506880 144739704071808 145744840905640 156621321570240 160821893413120 163962946018845 174893809086768 180924630089760 192986272095744 208828428760320 218617261358460 233191745449024 241232840119680 250594114512384 262340713630152 289479408143616 291489681811280 313242643140480 321643786826240 327925892037690 349787618173536 361849260179520 417656857520640 437234522716920 466383490898048 482465680239360 524681427260304 578958816287232 582979363622560 626485286280960 655851784075380 699575236347072 723698520359040 874469045433840 932766981796096 964931360478720 1049362854520608 1165958727245120 1252970572561920 1311703568150760 1399150472694144 1447397040718080 1748938090867680 1865533963592192 2098725709041216 2331917454490240 2623407136301520 2798300945388288 2894794081436160 3497876181735360 4197451418082432 4663834908980480 5246814272603040 5596601890776576 6995752363470720 8394902836164864 9327669817960960 10493628545206080 13991504726941440 16789805672329728 20987257090412160 27983009453882880 41974514180824320 83949028361648640
- Sum of all divisors σ(n): 305253605719370880
- Sum of proper divisors (its aliquot sum) s(n): 221304577357722240
- 83949028361648640 is an abundant number, because the sum of its proper divisors (221304577357722240) is greater than itself. Its abundance is 137355548996073600
Bases of 83949028361648640
- Binary: 1001010100011111100110010010011101011110000111010000000002
- Hexadecimal: 0x12A3F324EBC3A00
- Base-36: MYLG382UF40
Squares and roots of 83949028361648640
- 83949028361648640 squared (839490283616486402) is 7047439362864887741833578813849600
- 83949028361648640 cubed (839490283616486403) is 591625686950143482318597034770851742550321004544000
-
The
square root of 83949028361648640 is 289739587.1496482961 -
The
cube root of 83949028361648640 is 437863.3122294193
Scales and comparisons
How big is 83949028361648640?- 83,949,028,361,648,640 seconds is equal to 2,669,319,430 years, 26 weeks, 2 days, 6 hours, 24 minutes.
-
To count from 1 to 83,949,028,361,648,640 would take you about eight billion, seven million, nine hundred fifty-eight thousand, two hundred ninety-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 83949028361648640 cubic inches would be around 36488.6 feet tall.
Recreational maths with 83949028361648640
- 83949028361648640 backwards is 04684616382094938
- The number of decimal digits it has is: 17
- The sum of 83949028361648640's digits is 81
- More coming soon!
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