45742509831960000
45,742,509,831,960,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 45742509831960000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1680 divisors.
45742509831960000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 45742509831960000:
26 × 32 × 54 × 29 × 61 × 137 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 29 × 61 × 137 × 524287)See below for interesting mathematical facts about the number 45742509831960000 from the Numbermatics database.
Names of 45742509831960000
- Cardinal: 45742509831960000 can be written as Forty-five quadrillion, seven hundred forty-two trillion, five hundred nine billion, eight hundred thirty-one million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 4.574250983196 × 1016
Factors of 45742509831960000
Divisors of 45742509831960000
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 60 61 64 72 75 80 87 90 96 100 116 120 122 125 137 144 145 150 160 174 180 183 192 200 225 232 240 244 250 261 274 288 290 300 305 320 348 360 366 375 400 411 435 450 464 480 488 500 522 548 549 576 580 600 610 625 685 696 720 725 732 750 800 822 870 900 915 928 960 976 1000 1044 1096 1098 1125 1160 1200 1220 1233 1250 1305 1370 1392 1440 1450 1464 1500 1525 1600 1644 1740 1769 1800 1830 1856 1875 1952 2000 2055 2088 2175 2192 2196 2250 2320 2400 2440 2466 2500 2610 2740 2745 2784 2880 2900 2928 3000 3050 3288 3425 3480 3538 3600 3625 3660 3750 3904 3973 4000 4110 4176 4350 4384 4392 4500 4575 4640 4800 4880 4932 5000 5220 5307 5480 5490 5568 5625 5800 5856 6000 6100 6165 6525 6576 6850 6960 7076 7200 7250 7320 7500 7625 7946 8000 8220 8352 8357 8700 8768 8784 8845 9000 9150 9280 9760 9864 10000 10275 10440 10614 10875 10960 10980 11250 11600 11712 11919 12000 12200 12330 13050 13152 13700 13725 13920 14152 14400 14500 14640 15000 15250 15892 15921 16440 16704 16714 17125 17400 17568 17690 18000 18125 18300 19520 19728 19865 20000 20550 20880 21228 21750 21920 21960 22500 22875 23200 23838 24000 24400 24660 25071 26100 26304 26535 27400 27450 27840 28304 29000 29280 30000 30500 30825 31784 31842 32625 32880 33428 34250 34800 35136 35380 35757 36000 36250 36600 38125 39456 39730 40000 41100 41760 41785 42456 43500 43840 43920 44225 45000 45750 46400 47676 48800 49320 50142 51375 52200 53070 54375 54800 54900 56608 58000 58560 59595 60000 61000 61650 63568 63684 65250 65760 66856 68500 68625 69600 70760 71514 72000 72500 73200 75213 76250 78912 79460 79605 82200 83520 83570 84912 85625 87000 87840 88450 90000 91500 95352 97600 98640 99325 100284 102750 104400 106140 108750 109600 109800 113216 114375 116000 119190 120000 122000 123300 125355 127136 127368 130500 131520 132675 133712 137000 137250 139200 141520 143028 145000 146400 150426 152500 154125 158920 159210 163125 164400 167140 169824 171250 174000 175680 176900 178785 180000 183000 190704 197280 198650 200568 205500 208800 208925 212280 217500 219200 219600 221125 228750 232000 238380 242353 244000 246600 250710 254272 254736 256875 261000 265350 267424 274000 274500 283040 286056 290000 292800 297975 300852 305000 308250 317840 318420 326250 328800 334280 339648 342500 343125 348000 353800 357570 360000 366000 376065 381408 394560 397300 398025 401136 411000 417600 417850 424560 435000 439200 442250 457500 476760 484706 488000 493200 496625 501420 509472 513750 522000 524287 530700 534848 548000 549000 566080 572112 580000 595950 601704 610000 616500 626775 635680 636840 652500 657600 663375 668560 685000 686250 696000 707600 715140 727059 732000 752130 762816 770625 794600 796050 802272 822000 835700 849120 870000 878400 884500 893925 915000 953520 969412 986400 993250 1002840 1018944 1027500 1044000 1044625 1048574 1061400 1096000 1098000 1105625 1144224 1160000 1191900 1203408 1211765 1220000 1233000 1253550 1271360 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2585783484000 2603740313750 2628879875400 2671095464640 2736778140000 2738416536875 2782391109000 2873092760000 2878335630000 2999508841440 3049500655464 3124488376500 3154655850480 3176563182775 3232229355000 3286099844250 3332787601600 3338869330800 3477988886250 3505173167200 3709854812000 3749386051800 3811875819330 3837780840000 3905610470625 3943319813100 4066000873952 4165984502000 4173586663500 4206207800640 4309639140000 4381466459000 4451825774400 4574250983196 4637318515000 4686732564750 4929149766375 4999181402400 5082501092440 5171566968000 5207480627500 5216983329375 5257759750800 5473556280000 5476833073750 5564782218000 5717813728995 5756671260000 5999017682880 6099001310928 6248976753000 6309311700960 6353126365550 6464458710000 6572199688500 6677738661600 6955977772500 7010346334400 7419709624000 7498772103600 7623751638660 7811220941250 7886639626200 8132001747904 8215249610625 8331969004000 8347173327000 8619278280000 8762932918000 9148501966392 9274637030000 9373465129500 9529689548325 9858299532750 9998362804800 10165002184880 10414961255000 10433966658750 10515519501600 10953666147500 11129564436000 11435627457990 11513342520000 11716831411875 12198002621856 12497953506000 12618623401920 12706252731100 12928917420000 13144399377000 13355477323200 13911955545000 14997544207200 15247503277320 15622441882500 15773279252400 15882815913875 16430499221250 16663938008000 16694346654000 17525865836000 18297003932784 18549274060000 18746930259000 19059379096650 19716599065500 20330004369760 20829922510000 20867933317500 21031039003200 21907332295000 22259128872000 22871254915980 23433662823750 24396005243712 24645748831875 24995907012000 25412505462200 25857834840000 26288798754000 27823911090000 28589068644975 29995088414400 30495006554640 31244883765000 31546558504800 31765631827750 32860998442500 33388693308000 35051731672000 36594007865568 37098548120000 37493860518000 38118758193300 39433198131000 40660008739520 41659845020000 41735866635000 43814664590000 45742509831960 46867325647500 47648447741625 49291497663750 49991814024000 50825010924400 52577597508000 55647822180000 57178137289950 60990013109280 62489767530000 63093117009600 63531263655500 65721996885000 66777386616000 73188015731136 74987721036000 76237516386600 78866396262000 79414079569375 83319690040000 83471733270000 87629329180000 91485019663920 93734651295000 95296895483250 98582995327500 101650021848800 105155195016000 111295644360000 114356274579900 121980026218560 124979535060000 127062527311000 131443993770000 142945343224875 149975442072000 152475032773200 157732792524000 158828159138750 166943466540000 175258658360000 182970039327840 187469302590000 190593790966500 197165990655000 203300043697600 228712549159800 238242238708125 249959070120000 254125054622000 262887987540000 285890686449750 304950065546400 315465585048000 317656318277500 333886933080000 365940078655680 374938605180000 381187581933000 394331981310000 457425098319600 476484477416250 508250109244000 525775975080000 571781372899500 609900131092800 635312636555000 714726716124375 749877210360000 762375163866000 788663962620000 914850196639200 952968954832500 1016500218488000 1143562745799000 1270625273110000 1429453432248750 1524750327732000 1577327925240000 1829700393278400 1905937909665000 2287125491598000 2541250546220000 2858906864497500 3049500655464000 3811875819330000 4574250983196000 5082501092440000 5717813728995000 7623751638660000 9148501966392000 11435627457990000 15247503277320000 22871254915980000 45742509831960000
- Sum of all divisors σ(n): 173524201808855040
- Sum of proper divisors (its aliquot sum) s(n): 127781691976895040
- 45742509831960000 is an abundant number, because the sum of its proper divisors (127781691976895040) is greater than itself. Its abundance is 82039182144935040
Bases of 45742509831960000
- Binary: 101000101000001010010010000000011010101100110101110000002
- Hexadecimal: 0xA2829201AB35C0
- Base-36: CIED6X1CDS0
Squares and roots of 45742509831960000
- 45742509831960000 squared (457425098319600002) is 2092377205726957267437441600000000
- 45742509831960000 cubed (457425098319600003) is 95710584905134334424971947542228313536000000000000
-
The
square root of 45742509831960000 is 213874986.4569487237 -
The
cube root of 45742509831960000 is 357634.9853454775
Scales and comparisons
How big is 45742509831960000?- 45,742,509,831,960,000 seconds is equal to 1,454,470,321 years, 40 weeks, 5 days, 4 hours.
-
To count from 1 to 45,742,509,831,960,000 would take you about four billion, three hundred sixty-three million, four hundred ten thousand, nine hundred sixty-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 45742509831960000 cubic inches would be around 29802.9 feet tall.
Recreational maths with 45742509831960000
- 45742509831960000 backwards is 00006913890524754
- The number of decimal digits it has is: 17
- The sum of 45742509831960000's digits is 63
- More coming soon!
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"Number 45742509831960000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 45742509831960000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/45742509831960000/
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The information we have on file for 45742509831960000 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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