48468315336480
48,468,315,336,480 is an even composite number composed of eight prime numbers multiplied together.
What does the number 48468315336480 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
48468315336480 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 48468315336480:
25 × 33 × 5 × 13 × 47 × 127 × 191 × 757
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 47 × 127 × 191 × 757)See below for interesting mathematical facts about the number 48468315336480 from the Numbermatics database.
Names of 48468315336480
- Cardinal: 48468315336480 can be written as Forty-eight trillion, four hundred sixty-eight billion, three hundred fifteen million, three hundred thirty-six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.846831533648 × 1013
Factors of 48468315336480
Divisors of 48468315336480
- Number of divisors d(n): 1536
-
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 47 48 52 54 60 65 72 78 80 90 94 96 104 108 117 120 127 130 135 141 144 156 160 180 188 191 195 208 216 234 235 240 254 260 270 282 288 312 351 360 376 381 382 390 416 423 432 468 470 480 508 520 540 564 573 585 611 624 635 702 705 720 752 757 762 764 780 846 864 936 940 955 1016 1040 1080 1128 1143 1146 1170 1222 1248 1269 1270 1404 1410 1440 1504 1514 1524 1528 1560 1651 1692 1719 1755 1833 1872 1880 1905 1910 2032 2080 2115 2160 2256 2271 2286 2292 2340 2444 2483 2538 2540 2808 2820 2865 3028 3048 3055 3056 3120 3302 3384 3429 3438 3510 3666 3744 3760 3785 3810 3820 4064 4230 4320 4512 4542 4572 4584 4680 4888 4953 4966 5076 5080 5157 5499 5616 5640 5715 5730 5969 6056 6096 6110 6112 6240 6345 6604 6768 6813 6858 6876 7020 7332 7449 7520 7570 7620 7640 8255 8460 8595 8977 9084 9144 9165 9168 9360 9776 9841 9906 9932 10152 10160 10314 10998 11232 11280 11355 11430 11460 11938 12112 12192 12220 12415 12690 13208 13536 13626 13716 13752 14040 14664 14859 14898 15140 15240 15280 16497 16510 16920 17145 17190 17907 17954 18168 18288 18330 18336 18720 19552 19682 19812 19864 20304 20320 20439 20628 21996 22347 22560 22710 22860 22920 23876 24224 24257 24440 24765 24830 25380 25785 26416 26931 27252 27432 27495 27504 28080 29328 29523 29718 29796 29845 30280 30480 30560 32994 33020 33840 34065 34290 34380 35579 35814 35908 36336 36576 36660 37245 39364 39624 39728 40608 40878 41256 43992 44577 44694 44885 45420 45720 45840 47752 48514 48880 49205 49530 49660 50760 51570 52832 53721 53862 54504 54864 54990 55008 56160 58656 59046 59436 59592 59690 60560 60960 65988 66040 67041 67680 68130 68580 68760 71158 71628 71816 72672 72771 73320 74295 74490 77597 78728 79248 79456 80793 81756 82485 82512 87984 88569 89154 89388 89535 89770 90840 91440 91680 95504 96139 97028 97760 98410 99060 99320 101520 102195 103140 106737 107442 107724 109008 109728 109980 111735 116701 118092 118872 119184 119380 121120 121285 131976 132080 134082 134655 136260 137160 137520 142316 143256 143632 144587 145542 146640 147615 148590 148980 155194 157456 158496 161163 161586 163512 164970 165024 175968 177138 177895 178308 178776 179070 179540 181680 182880 191008 192278 194056 196820 198120 198640 203040 204390 206280 213474 214884 215448 218016 218313 219960 222885 223470 232791 233402 236184 237744 238368 238760 242379 242570 263952 264160 265707 268164 268605 269310 272520 274320 275040 284632 286512 287264 288417 289174 291084 293280 295230 297180 297960 310388 314912 315341 320211 322326 323172 327024 329940 335205 350103 354276 355790 356616 357552 358140 359080 363360 363855 384556 387985 388112 393640 396240 397280 403965 408780 412560 426948 429768 430896 433761 436626 439920 442845 445770 446940 462527 465582 466804 472368 475488 477520 480695 484758 485140 527904 531414 533685 536328 537210 538620 545040 548640 569264 573024 576834 578348 582168 583505 590460 594360 595920 620776 630682 640422 644652 646344 654048 654939 659880 670410 698373 700206 708552 711580 713232 715104 716280 718160 722935 727710 769112 775970 776224 787280 792480 805815 807930 817560 825120 853896 859536 861792 865251 867522 873252 879840 885690 891540 893880 925054 931164 933608 944736 946023 955040 960633 961390 969516 970280 1050309 1062828 1067370 1072656 1074420 1077240 1090080 1091565 1138528 1140079 1153668 1156696 1163955 1164336 1167010 1180920 1188720 1191840 1211895 1241552 1249807 1261364 1280844 1289304 1292688 1301283 1309878 1319760 1328535 1340820 1387581 1396746 1400412 1417104 1423160 1426464 1432560 1436320 1442085 1445870 1455420 1538224 1551940 1574560 1576705 1601055 1611630 1615860 1635120 1707792 1719072 1730502 1735044 1746504 1750515 1771380 1783080 1787760 1850108 1862328 1867216 1879631 1892046 1921266 1922780 1939032 1940560 2095119 2100618 2125656 2134740 2145312 2148840 2154480 2168805 2183130 2280158 2307336 2312635 2313392 2327910 2328672 2334020 2361840 2377440 2423790 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81547068 82085688 83064096 83254860 83804760 84024720 84583395 85142070 88342657 88926162 89986104 90222288 90370660 90818208 91206320 91812745 99905832 99984560 100829664 101500074 101933835 102607110 103830120 104102640 104790240 108444792 108729424 109447584 110175294 111006480 111739680 112482630 112777860 113522760 117481858 118568216 119981472 122000391 122320602 123128532 124882290 124923168 126037080 133207776 133389243 134979156 135333432 135555990 135911780 136227312 136809480 138440160 144593056 146900392 148210270 149976840 150370480 151363680 153701280 153910665 156153960 162667188 163094136 164171376 165262941 166509720 167609520 168049440 168723945 169166790 170284140 176222787 176685314 177852324 179972208 180444576 180741320 182412640 183480903 183625490 199811664 199969120 203000148 203333985 203867670 205214220 207660240 208205280 216889584 217458848 220350588 222012960 222315405 224965260 225555720 227045520 234963716 237136432 238713137 244000782 244641204 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863039803 881113935 881402352 883426570 889261620 899861040 902222880 917404515 939854864 954852548 976003128 978564816 985028256 991577646 999058320 1015000740 1057336722 1060111884 1067113944 1079833248 1084447920 1087294240 1101752940 1174818580 1185682160 1193565685 1220003910 1223206020 1231285320 1301337504 1322103528 1325139855 1333892430 1349791560 1353334320 1362273120 1409782296 1413482512 1422818592 1432278822 1467847224 1469003920 1586005083 1590167826 1600670916 1624001184 1626671880 1630941360 1641713760 1652629410 1726079606 1762227870 1762804704 1766853140 1778523240 1799722080 1834809030 1879709728 1909705096 1952006256 1957129632 1983155292 1998116640 2000838645 2030001480 2114673444 2120223768 2134227888 2148418233 2168895840 2203505880 2349637160 2371364320 2385251739 2387131370 2440007820 2446412040 2462570640 2478944115 2589119409 2643341805 2644207056 2650279710 2667784860 2699583120 2706668640 2819564592 2826965024 2864557644 2935694448 2938007840 3172010166 3180335652 3201341832 3253343760 3261882720 3305258820 3452159212 3524455740 3533706280 3557046480 3580697055 3669618060 3819410192 3904012512 3966310584 3975419565 4001677290 4060002960 4229346888 4240447536 4268455776 4296836466 4315199015 4407011760 4699274320 4770503478 4774262740 4880015640 4892824080 4925141280 4957888230 5178238818 5286683610 5288414112 5300559420 5335569720 5399166240 5639129184 5729115288 5871388896 6344020332 6360671304 6402683664 6445254699 6506687520 6610517640 6904318424 7048911480 7067412560 7114092960 7161394110 7339236120 7638820384 7767358227 7930025415 7932621168 7950839130 8003354580 8120005920 8458693776 8480895072 8593672932 8630398030 8814023520 9398548640 9541006956 9548525480 9760031280 9785648160 9915776460 10356477636 10573367220 10601118840 10671139440 10742091165 11219517439 11458230576 11926258695 12688040664 12721342608 12805367328 12890509398 12945597045 13221035280 13808636848 14097822960 14134825120 14322788220 14678472240 15534716454 15860050830 15865242336 15901678260 16006709160 16917387552 17187345864 17260796060 19082013912 19097050960 19520062560 19831552920 20712955272 21146734440 21202237680 21342278880 21484182330 22439034878 22916461152 23302074681 23852517390 25376081328 25442685216 25781018796 25891194090 26442070560 27617273696 28195645920 28645576440 29356944480 31069432908 31720101660 31803356520 32013418320 32226273495 33658552317 34374691728 34521592120 38164027824 38194101920 38836791135 39663105840 41425910544 42293468880 42404475360 42968364660 44878069756 46604149362 47705034780 50752162656 51562037592 51782388180 56097587195 57291152880 62138865816 63440203320 63606713040 64026836640 64452546990 67317104634 68749383456 69043184240 76328055648 77673582270 79326211680 82851821088 84586937760 85936729320 89756139512 93208298724 95410069560 100975656951 103124075184 103564776360 112195174390 114582305760 116510373405 124277731632 126880406640 127213426080 128905093980 134634209268 138086368480 155347164540 168292761585 171873458640 179512279024 186416597448 190820139120 201951313902 206248150368 207129552720 224390348780 233020746810 248555463264 253760813280 257810187960 269268418536 302926970853 310694329080 336585523170 343746917280 359024558048 372833194896 381640278240 403902627804 414259105440 448780697560 466041493620 504878284755 515620375920 538536837072 605853941706 621388658160 673171046340 745666389792 807805255608 897561395120 932082987240 1009756569510 1031240751840 1077073674144 1211707883412 1242777316320 1346342092680 1514634854265 1615610511216 1795122790240 1864165974480 2019513139020 2423415766824 2692684185360 3029269708530 3231221022432 3728331948960 4039026278040 4846831533648 5385368370720 6058539417060 8078052556080 9693663067296 12117078834120 16156105112160 24234157668240 48468315336480
- Sum of all divisors σ(n): 189278579589120
- Sum of proper divisors (its aliquot sum) s(n): 140810264252640
- 48468315336480 is an abundant number, because the sum of its proper divisors (140810264252640) is greater than itself. Its abundance is 92341948916160
Bases of 48468315336480
- Binary: 10110000010100111010001011011111101111001000002
- Hexadecimal: 0x2C14E8B7EF20
- Base-36: H6I1BJBC0
Squares and roots of 48468315336480
- 48468315336480 squared (484683153364802) is 2349177591556462375618790400
- 48468315336480 cubed (484683153364803) is 113860680288951234714058313174386593792000
-
The
square root of 48468315336480 is 6961918.9406714581 -
The
cube root of 48468315336480 is 36460.2219649561
Scales and comparisons
How big is 48468315336480?- 48,468,315,336,480 seconds is equal to 1,541,142 years, 26 weeks, 1 day, 22 hours, 48 minutes.
-
To count from 1 to 48,468,315,336,480 would take you about three million, eight hundred fifty-two thousand, eight hundred fifty-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 48468315336480 cubic inches would be around 3038.4 feet tall.
Recreational maths with 48468315336480
- 48468315336480 backwards is 08463351386484
- The number of decimal digits it has is: 14
- The sum of 48468315336480's digits is 63
- More coming soon!
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"Number 48468315336480 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 48468315336480 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/48468315336480/
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The information we have on file for 48468315336480 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!
Keywords: Divisors of 48468315336480, math, Factors of 48468315336480, curriculum, school, college, exams, university, Prime factorization of 48468315336480, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, four hundred sixty-eight billion, three hundred fifteen million, three hundred thirty-six thousand, four hundred eighty.