90324480734017920
90,324,480,734,017,920 is an even composite number composed of five prime numbers multiplied together.
What does the number 90324480734017920 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 256 divisors.
90324480734017920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 90324480734017920:
27 × 33 × 5 × 13 × 402085473353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 402085473353)See below for interesting mathematical facts about the number 90324480734017920 from the Numbermatics database.
Names of 90324480734017920
- Cardinal: 90324480734017920 can be written as Ninety quadrillion, three hundred twenty-four trillion, four hundred eighty billion, seven hundred thirty-four million, seventeen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.032448073401792 × 1016
Factors of 90324480734017920
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 402085473376
Divisors of 90324480734017920
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 90 96 104 108 117 120 128 130 135 144 156 160 180 192 195 208 216 234 240 260 270 288 312 320 351 360 384 390 416 432 468 480 520 540 576 585 624 640 702 720 780 832 864 936 960 1040 1080 1152 1170 1248 1404 1440 1560 1664 1728 1755 1872 1920 2080 2160 2340 2496 2808 2880 3120 3456 3510 3744 4160 4320 4680 4992 5616 5760 6240 7020 7488 8320 8640 9360 11232 12480 14040 14976 17280 18720 22464 24960 28080 37440 44928 56160 74880 112320 224640 402085473353 804170946706 1206256420059 1608341893412 2010427366765 2412512840118 3216683786824 3618769260177 4020854733530 4825025680236 5227111153589 6031282100295 6433367573648 7237538520354 8041709467060 9650051360472 10454222307178 10856307780531 12062564200590 12866735147296 14475077040708 15681333460767 16083418934120 18093846300885 19300102720944 20908444614356 21712615561062 24125128401180 25733470294592 26135555767945 28950154081416 31362666921534 32166837868240 36187692601770 38600205441888 41816889228712 43425231122124 47044000382301 48250256802360 51466940589184 52271111535890 54281538902655 57900308162832 62725333843068 64333675736480 72375385203540 77200410883776 78406667303835 83633778457424 86850462244248 94088000764602 96500513604720 104542223071780 108563077805310 115800616325664 125450667686136 128667351472960 141132001146903 144750770407080 154400821767552 156813334607670 167267556914848 173700924488496 188176001529204 193001027209440 209084446143560 217126155610620 231601232651328 235220001911505 250901335372272 257334702945920 282264002293806 289501540814160 313626669215340 334535113829696 347401848976992 376352003058408 386002054418880 418168892287120 434252311221240 463202465302656 470440003823010 501802670744544 564528004587612 579003081628320 627253338430680 669070227659392 694803697953984 705660005734515 752704006116816 772004108837760 836337784574240 868504622442480 940880007646020 1003605341489088 1129056009175224 1158006163256640 1254506676861360 1389607395907968 1411320011469030 1505408012233632 1672675569148480 1737009244884960 1881760015292040 2007210682978176 2258112018350448 2316012326513280 2509013353722720 2822640022938060 3010816024467264 3345351138296960 3474018489769920 3763520030584080 4516224036700896 5018026707445440 5645280045876120 6021632048934528 6948036979539840 7527040061168160 9032448073401792 10036053414890880 11290560091752240 15054080122336320 18064896146803584 22581120183504480 30108160244672640 45162240367008960 90324480734017920
- Sum of all divisors σ(n): 344506833569707200
- Sum of proper divisors (its aliquot sum) s(n): 254182352835689280
- 90324480734017920 is an abundant number, because the sum of its proper divisors (254182352835689280) is greater than itself. Its abundance is 163857872101671360
Bases of 90324480734017920
- Binary: 1010000001110010110100010111111001010110000111001100000002
- Hexadecimal: 0x140E5A2FCAC3980
- Base-36: OPDCTM01UO0
Squares and roots of 90324480734017920
- 90324480734017920 squared (903244807340179202) is 8158511819869974408145506881126400
- 90324480734017920 cubed (903244807340179203) is 736913343692102982345423958894359912502087385088000
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The
square root of 90324480734017920 is 300540314.6568159161 -
The
cube root of 90324480734017920 is 448678.3951923843
Scales and comparisons
How big is 90324480734017920?- 90,324,480,734,017,920 seconds is equal to 2,872,039,095 years, 19 weeks, 4 days, 19 hours, 12 minutes.
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To count from 1 to 90,324,480,734,017,920 would take you about eight billion, six hundred sixteen million, one hundred seventeen thousand, two hundred eighty-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 90324480734017920 cubic inches would be around 37389.9 feet tall.
Recreational maths with 90324480734017920
- 90324480734017920 backwards is 02971043708442309
- The number of decimal digits it has is: 17
- The sum of 90324480734017920's digits is 63
- More coming soon!
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