13042422120448000
13,042,422,120,448,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13042422120448000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
13042422120448000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13042422120448000:
223 × 53 × 7 × 312 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 31 × 31 × 43 × 43)See below for interesting mathematical facts about the number 13042422120448000 from the Numbermatics database.
Names of 13042422120448000
- Cardinal: 13042422120448000 can be written as Thirteen quadrillion, forty-two trillion, four hundred twenty-two billion, one hundred twenty million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3042422120448 × 1016
Factors of 13042422120448000
Divisors of 13042422120448000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 43 50 56 62 64 70 80 86 100 112 124 125 128 140 155 160 172 175 200 215 217 224 248 250 256 280 301 310 320 344 350 400 430 434 448 496 500 512 560 602 620 640 688 700 775 800 860 868 875 896 961 992 1000 1024 1075 1085 1120 1204 1240 1280 1333 1376 1400 1505 1550 1600 1720 1736 1750 1792 1849 1922 1984 2000 2048 2150 2170 2240 2408 2480 2560 2666 2752 2800 3010 3100 3200 3440 3472 3500 3584 3698 3844 3875 3968 4000 4096 4300 4340 4480 4805 4816 4960 5120 5332 5375 5425 5504 5600 6020 6200 6400 6665 6727 6880 6944 7000 7168 7396 7525 7688 7750 7936 8000 8192 8600 8680 8960 9245 9331 9610 9632 9920 10240 10664 10750 10850 11008 11200 12040 12400 12800 12943 13330 13454 13760 13888 14000 14336 14792 15050 15376 15500 15872 16000 16384 17200 17360 17920 18490 18662 19220 19264 19840 20480 21328 21500 21700 22016 22400 24025 24080 24800 25600 25886 26660 26908 27125 27520 27776 28000 28672 29584 30100 30752 31000 31744 32000 32768 33325 33635 34400 34720 35840 36980 37324 37625 38440 38528 39680 40960 41323 42656 43000 43400 44032 44800 46225 46655 48050 48160 49600 51200 51772 53320 53816 54250 55040 55552 56000 57319 57344 59168 60200 61504 62000 63488 64000 64715 65536 66650 67270 68800 69440 71680 73960 74648 75250 76880 77056 79360 81920 82646 85312 86000 86800 88064 89600 92450 93310 96100 96320 99200 102400 103544 106640 107632 108500 110080 111104 112000 114638 114688 118336 120125 120400 123008 124000 126976 128000 129430 131072 133300 134540 137600 138880 143360 147920 149296 150500 153760 154112 158720 163840 165292 166625 168175 170624 172000 173600 176128 179200 184900 186620 192200 192640 198400 204800 206615 207088 213280 215264 217000 220160 222208 224000 229276 229376 231125 233275 236672 240250 240800 246016 248000 253952 256000 258860 262144 266600 269080 275200 277760 286595 286720 289261 295840 298592 301000 307520 308224 317440 323575 327680 330584 333250 336350 341248 344000 347200 352256 358400 369800 373240 384400 385280 396800 401233 409600 413230 414176 426560 430528 434000 440320 444416 448000 458552 458752 462250 466550 473344 480500 481600 492032 496000 507904 512000 517720 524288 533200 538160 550400 555520 573190 573440 578522 591680 597184 602000 615040 616448 634880 647150 655360 661168 666500 672700 682496 688000 694400 704512 716800 739600 746480 768800 770560 793600 802466 819200 826460 828352 840875 853120 861056 868000 880640 888832 896000 917104 917504 924500 933100 946688 961000 963200 984064 992000 1015808 1024000 1033075 1035440 1048576 1066400 1076320 1100800 1111040 1146380 1146880 1157044 1166375 1183360 1194368 1204000 1230080 1232896 1269760 1294300 1310720 1322336 1333000 1345400 1364992 1376000 1388800 1409024 1432975 1433600 1446305 1479200 1492960 1537600 1541120 1587200 1604932 1617875 1638400 1652920 1656704 1681750 1706240 1722112 1736000 1761280 1776889 1777664 1792000 1834208 1835008 1849000 1866200 1893376 1922000 1926400 1968128 1984000 2006165 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16252928000 16434503680 16925900800 16964648960 17471897600 17634426880 18195343360 18512704000 18782289920 18957008896 19109888000 19388170240 19568525312 19726336000 19901156800 20153630720 20543129600 21157376000 21205811200 21665153024 21839872000 22043033600 22544384000 22744179200 22754099200 23477862400 23696261120 24235212800 24460656640 24876446000 25192038400 25473480704 25678912000 26295205888 26507264000 27081441280 27143438336 27553792000 27955036160 28215083008 28430224000 28442624000 29112549376 29347328000 29620326400 30051663872 30294016000 30575820800 31490048000 31562137600 31841850880 32505856000 32869007360 33851801600 33929297920 34943795200 35268853760 36390686720 37025408000 37564579840 37914017792 38219776000 38776340480 39137050624 39452672000 39802313600 40307261440 41086259200 42314752000 42411622400 43330306048 43679744000 44086067200 45088768000 45488358400 45508198400 46955724800 47392522240 48470425600 48921313280 49752892000 50384076800 50946961408 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176344268800 181953433600 187822899200 189570088960 193881702400 195685253120 199011568000 201536307200 203787845632 205431296000 210361647104 212058112000 216651530240 220430336000 227441792000 227540992000 232900395008 234778624000 236962611200 240413310976 242352128000 244606566400 251920384000 254734807040 262952058880 270814412800 271434383360 279550361600 282150830080 291125493760 296203264000 300516638720 303312142336 305758208000 315621376000 318418508800 328690073600 338518016000 339292979200 346642448384 349437952000 352688537600 363906867200 375645798400 379140177920 387763404800 391370506240 398023136000 407575691264 410862592000 420723294208 424116224000 433303060480 440860672000 454883584000 465800790016 469557248000 473925222400 480826621952 484704256000 489213132800 503840768000 509469614080 525904117760 541628825600 542868766720 582250987520 592406528000 601033277440 606624284672 611516416000 636837017600 657380147200 677036032000 678585958400 698875904000 705377075200 727813734400 751291596800 758280355840 796046272000 815151382528 821725184000 841446588416 848232448000 866606120960 881721344000 909767168000 931601580032 939114496000 947850444800 969408512000 978426265600 1007681536000 1018939228160 1051808235520 1083257651200 1164501975040 1184813056000 1202066554880 1213248569344 1223032832000 1273674035200 1314760294400 1354072064000 1357171916800 1397751808000 1410754150400 1455627468800 1502583193600 1516560711680 1592092544000 1630302765056 1643450368000 1682893176832 1696464896000 1733212241920 1763442688000 1819534336000 1863203160064 1878228992000 1895700889600 1938817024000 1956852531200 2037878456320 2103616471040 2166515302400 2329003950080 2369626112000 2404133109760 2426497138688 2446065664000 2547348070400 2629520588800 2708144128000 2714343833600 2911254937600 3005166387200 3033121423360 3184185088000 3260605530112 3286900736000 3365786353664 3392929792000 3526885376000 3639068672000 3726406320128 3756457984000 3791401779200 4075756912640 4207232942080 4333030604800 4658007900160 4739252224000 4892131328000 5094696140800 5259041177600 5416288256000 5822509875200 6010332774400 6066242846720 6368370176000 6521211060224 6573801472000 6785859584000 7053770752000 7278137344000 7452812640256 7512915968000 7582803558400 8151513825280 8414465884160 8666061209600 9316015800320 9478504448000 9784262656000 10189392281600 10518082355200 10832576512000 11645019750400 12020665548800 12132485693440 12736740352000 13042422120448 13147602944000 13571719168000 14556274688000 14905625280512 15025831936000 15165607116800 16303027650560 16828931768320 18632031600640 18957008896000 20378784563200 21036164710400 21665153024000 23290039500800 25473480704000 26084844240896 26295205888000 29112549376000 30051663872000 30331214233600 32606055301120 37264063201280 37914017792000 40757569126400 42072329420800 43330306048000 46580079001600 50946961408000 52169688481792 52590411776000 58225098752000 60103327744000 60662428467200 65212110602240 74528126402560 75828035584000 81515138252800 84144658841600 93160158003200 101893922816000 104339376963584 105180823552000 116450197504000 130424221204480 151656071168000 163030276505600 186320316006400 203787845632000 210361647104000 232900395008000 260848442408960 303312142336000 326060553011200 372640632012800 407575691264000 420723294208000 465800790016000 521696884817920 652121106022400 815151382528000 931601580032000 1304242212044800 1630302765056000 1863203160064000 2608484424089600 3260605530112000 6521211060224000 13042422120448000
- Sum of all divisors σ(n): 39358117492555680
- Sum of proper divisors (its aliquot sum) s(n): 26315695372107680
- 13042422120448000 is an abundant number, because the sum of its proper divisors (26315695372107680) is greater than itself. Its abundance is 13273273251659680
Bases of 13042422120448000
- Binary: 1011100101011000000011100010011000000000000000000000002
- Hexadecimal: 0x2E560389800000
- Base-36: 3KF5I095KHS
Squares and roots of 13042422120448000
- 13042422120448000 squared (130424221204480002) is 170104774767951304619720704000000
- 13042422120448000 cubed (130424221204480003) is 2218578277227352901551145682541207355392000000000
-
The
square root of 13042422120448000 is 114203424.2938800851 -
The
cube root of 13042422120448000 is 235388.9567166917
Scales and comparisons
How big is 13042422120448000?- 13,042,422,120,448,000 seconds is equal to 414,708,680 years, 29 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,042,422,120,448,000 would take you about one billion, two hundred forty-four million, one hundred twenty-six thousand and forty-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 13042422120448000 cubic inches would be around 19615.7 feet tall.
Recreational maths with 13042422120448000
- 13042422120448000 backwards is 00084402122424031
- The number of decimal digits it has is: 17
- The sum of 13042422120448000's digits is 37
- More coming soon!
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"Number 13042422120448000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 13042422120448000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/13042422120448000/
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The information we have on file for 13042422120448000 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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