45743393164672000
45,743,393,164,672,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 45743393164672000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1408 divisors.
45743393164672000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 45743393164672000:
210 × 53 × 7 × 173 × 5501 × 1889
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 17 × 17 × 17 × 5501 × 1889)See below for interesting mathematical facts about the number 45743393164672000 from the Numbermatics database.
Names of 45743393164672000
- Cardinal: 45743393164672000 can be written as Forty-five quadrillion, seven hundred forty-three trillion, three hundred ninety-three billion, one hundred sixty-four million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 4.5743393164672 × 1016
Factors of 45743393164672000
Divisors of 45743393164672000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 64 68 70 80 85 100 112 119 125 128 136 140 160 170 175 200 224 238 250 256 272 280 289 320 340 350 400 425 448 476 500 512 544 560 578 595 640 680 700 800 850 875 896 952 1000 1024 1088 1120 1156 1190 1280 1360 1400 1445 1600 1700 1750 1792 1889 1904 2000 2023 2125 2176 2240 2312 2380 2560 2720 2800 2890 2975 3200 3400 3500 3584 3778 3808 4000 4046 4250 4352 4480 4624 4760 4913 5120 5440 5501 5600 5780 5950 6400 6800 7000 7168 7225 7556 7616 8000 8092 8500 8704 8960 9248 9445 9520 9826 10115 10880 11002 11200 11560 11900 12800 13223 13600 14000 14450 14875 15112 15232 16000 16184 17000 17408 17920 18496 18890 19040 19652 20230 21760 22004 22400 23120 23800 24565 25600 26446 27200 27505 28000 28900 29750 30224 30464 32000 32113 32368 34000 34391 35840 36125 36992 37780 38080 38507 39304 40460 43520 44008 44800 46240 47225 47600 49130 50575 52892 54400 55010 56000 57800 59500 60448 60928 64000 64226 64736 66115 68000 68782 72250 73984 75560 76160 77014 78608 80920 87040 88016 89600 92480 93517 94450 95200 98260 101150 105784 108800 110020 112000 115600 119000 120896 121856 122825 128000 128452 129472 132230 136000 137525 137564 144500 147968 151120 152320 154028 157216 160565 161840 171955 176032 179200 184960 187034 188900 190400 192535 196520 202300 211568 217600 220040 224000 224791 231200 236125 238000 241792 245650 252875 256904 258944 264460 272000 275050 275128 289000 295936 302240 304640 308056 314432 321130 323680 330575 343910 352064 369920 374068 377800 380800 385070 393040 404600 423136 435200 440080 448000 449582 462400 467585 472250 476000 483584 491300 505750 513808 517888 528920 544000 545921 550100 550256 578000 604480 609280 614125 616112 628864 642260 647360 654619 661150 687625 687820 704128 739840 748136 755600 761600 770140 786080 802825 809200 846272 859775 880160 896000 899164 924800 935170 944500 952000 962675 967168 982600 1011500 1027616 1035776 1057840 1088000 1091842 1100200 1100512 1123955 1156000 1208960 1228250 1232224 1257728 1284520 1294720 1309238 1322300 1375250 1375640 1408256 1479680 1496272 1511200 1523200 1540280 1572160 1589789 1605650 1618400 1652875 1692544 1719550 1760320 1798328 1849600 1870340 1889000 1904000 1925350 1934336 1965200 2023000 2055232 2071552 2115680 2176000 2183684 2200400 2201024 2247910 2312000 2337925 2417920 2456500 2464448 2515456 2569040 2589440 2618476 2644600 2729605 2750500 2751280 2816512 2992544 3022400 3046400 3080560 3144320 3179578 3211300 3236800 3273095 3305750 3385088 3439100 3520640 3596656 3699200 3740680 3778000 3808000 3821447 3850700 3930400 4014125 4046000 4110464 4231360 4298875 4367368 4400800 4402048 4495820 4624000 4675850 4813375 4835840 4913000 4928896 5030912 5138080 5178880 5236952 5289200 5459210 5501000 5502560 5619775 5633024 5985088 6044800 6161120 6288640 6359156 6422600 6473600 6546190 6611500 6770176 6878200 7041280 7193312 7398400 7481360 7556000 7616000 7642894 7701400 7860800 7948945 8028250 8092000 8220928 8462720 8597750 8734736 8801600 8804096 8991640 9248000 9280657 9351700 9626750 9671680 9826000 9857792 10276160 10357760 10391389 10473904 10578400 10918420 11002000 11005120 11128523 11239550 11689625 11970176 12089600 12322240 12577280 12718312 12845200 12947200 13092380 13223000 13540352 13648025 13756400 14082560 14386624 14962720 15112000 15232000 15285788 15402800 15721600 15897890 16056500 16184000 16365475 16441856 16925440 17195500 17469472 17603200 17608192 17983280 18496000 18561314 18703400 19107235 19253500 19652000 19715584 20552320 20782778 20947808 21156800 21836840 22004000 22010240 22257046 22479100 23379250 23940352 24179200 24644480 25154560 25436624 25690400 25894400 26184760 26446000 27026413 27296050 27512800 28098875 28165120 28773248 29925440 30224000 30571576 30805600 31443200 31795780 32113000 32368000 32730950 32883712 33850880 34391000 34938944 35206400 35216384 35966560 36992000 37122628 37406800 38214470 38507000 39304000 39431168 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176081920 176653613 178056368 179832800 185613140 187034000 189184891 191072350 197155840 198723625 203492992 205523200 207827780 209478080 211568000 216211304 218368400 220102400 222570460 224791000 230185984 232016425 239403520 241792000 244572608 246444800 254366240 256904000 258944000 259784725 259858396 261847600 270264130 272960500 275128000 278213075 279511552 287732480 290958892 296981024 299254400 305715760 308056000 314432000 317957800 324822995 327309500 332524448 335164928 338508800 349389440 352064000 353307226 356112736 359665600 363698615 371226280 374068000 378369782 382144700 397447250 406985984 411046400 415655560 418956160 423136000 432422608 436736800 440204800 445140920 449582000 464032850 477680875 478807040 489145216 492889600 508732480 513808000 519569450 519716792 523695200 540528260 545921000 550256000 556426150 559023104 575464960 581917784 593962048 598508800 611431520 616112000 628864000 635915600 649645990 654619000 665048896 670329856 675660325 698778880 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151347912800 154571911375 158281637248 166262224000 166309373440 168174239576 172969043200 176653613000 178056368000 180893299712 186213690880 189184891000 192199130944 193725328384 197852046560 203492992000 204211576628 207886716800 210217799470 216211304000 226116624640 232767113600 237584819200 240248913680 242156660480 244572608000 247315058200 255264470785 259858396000 266019558400 282645780800 284890188800 290958892000 296981024000 300311142100 302695825600 309143822750 316563274496 332524448000 332618746880 336348479152 345938086400 353307226000 356112736000 357370259099 372427381760 375388927625 378369782000 384398261888 395704093120 408423153256 415773433600 420435598940 432422608000 452233249280 465534227200 480497827360 484313320960 489145216000 494630116400 510528941570 519716792000 525544498675 565291561600 581917784000 593962048000 600622284200 605391651200 618287645500 633126548992 665048896000 672696958304 691876172800 706614452000 712225472000 714740518198 750777855250 756739564000 768796523776 791408186240 816846306512 831546867200 840871197880 864845216000 904466498560 931068454400 960995654720 968626641920 989260232800 1021057883140 1039433584000 1051088997350 1130583123200 1163835568000 1187924096000 1201244568400 1210783302400 1236575291000 1266253097984 1276322353925 1330097792000 1345393916608 1413228904000 1424450944000 1429481036396 1501555710500 1513479128000 1537593047552 1582816372480 1633692613024 1663093734400 1681742395760 1729690432000 1786851295495 1862136908800 1921991309440 1978520465600 2042115766280 2078867168000 2102177994700 2261166246400 2327671136000 2402489136800 2421566604800 2473150582000 2552644707850 2627722493375 2690787833216 2826457808000 2858962072792 3003111421000 3026958256000 3075186095104 3165632744960 3267385226048 3363484791520 3459380864000 3573702590990 3843982618880 3957040931200 4084231532560 4157734336000 4204355989400 4522332492800 4655342272000 4804978273600 4843133209600 4946301164000 5105289415700 5255444986750 5381575666432 5652915616000 5717924145584 6006222842000 6053916512000 6331265489920 6381611769625 6534770452096 6726969583040 7147405181980 7687965237760 7914081862400 8168463065120 8315468672000 8408711978800 8934256477475 9310684544000 9609956547200 9892602328000 10210578831400 10510889973500 10763151332864 11305831232000 11435848291168 12012445684000 12107833024000 12763223539250 13069540904192 13453939166080 14294810363960 15375930475520 15828163724800 16336926130240 16817423957600 17868512954950 19219913094400 19785204656000 20421157662800 21021779947000 21526302665728 22611662464000 22871696582336 24024891368000 24215666048000 25526447078500 26139081808384 26907878332160 28589620727920 31656327449600 32673852260480 33634847915200 35737025909900 38439826188800 39570409312000 40842315325600 42043559894000 44671282387375 45743393164672 48049782736000 51052894157000 52278163616768 53815756664320 57179241455840 65347704520960 67269695830400 71474051819800 76879652377600 79140818624000 81684630651200 84087119788000 89342564774750 91486786329344 96099565472000 102105788314000 107631513328640 114358482911680 130695409041920 134539391660800 142948103639600 158281637248000 163369261302400 168174239576000 178685129549500 182973572658688 192199130944000 204211576628000 228716965823360 261390818083840 269078783321600 285896207279200 326738522604800 336348479152000 357370259099000 365947145317376 384398261888000 408423153256000 457433931646720 538157566643200 571792414558400 653477045209600 672696958304000 714740518198000 816846306512000 914867863293440 1143584829116800 1306954090419200 1345393916608000 1429481036396000 1633692613024000 1829735726586880 2287169658233600 2690787833216000 2858962072792000 3267385226048000 4574339316467200 5717924145584000 6534770452096000 9148678632934400 11435848291168000 22871696582336000 45743393164672000
- Sum of all divisors σ(n): 138670895856729600
- Sum of proper divisors (its aliquot sum) s(n): 92927502692057600
- 45743393164672000 is an abundant number, because the sum of its proper divisors (92927502692057600) is greater than itself. Its abundance is 47184109527385600
Bases of 45743393164672000
- Binary: 101000101000001101011111101011000110011010111100000000002
- Hexadecimal: 0xA2835FAC66BC00
- Base-36: CIEOGPQU0HS
Squares and roots of 45743393164672000
- 45743393164672000 squared (457433931646720002) is 2092458018217761051308867584000000
- 45743393164672000 cubed (457433931646720003) is 95716129807905450126069842121006354792448000000000
-
The
square root of 45743393164672000 is 213877051.5148177367 -
The
cube root of 45743393164672000 is 357637.2874247263
Scales and comparisons
How big is 45743393164672000?- 45,743,393,164,672,000 seconds is equal to 1,454,498,409 years, 1 week, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 45,743,393,164,672,000 would take you about four billion, three hundred sixty-three million, four hundred ninety-five thousand, two hundred twenty-seven 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 45743393164672000 cubic inches would be around 29803.1 feet tall.
Recreational maths with 45743393164672000
- 45743393164672000 backwards is 00027646139334754
- 45743393164672000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 45743393164672000's digits is 64
- More coming soon!
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"Number 45743393164672000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 45743393164672000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/45743393164672000/
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The information we have on file for 45743393164672000 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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