48406814661920
48,406,814,661,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48406814661920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
48406814661920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 48406814661920:
25 × 5 × 113 × 13 × 37 × 612 × 127
(2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 11 × 13 × 37 × 61 × 61 × 127)See below for interesting mathematical facts about the number 48406814661920 from the Numbermatics database.
Names of 48406814661920
- Cardinal: 48406814661920 can be written as Forty-eight trillion, four hundred six billion, eight hundred fourteen million, six hundred sixty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.840681466192 × 1013
Factors of 48406814661920
Divisors of 48406814661920
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 32 37 40 44 52 55 61 65 74 80 88 104 110 121 122 127 130 143 148 160 176 185 208 220 242 244 254 260 286 296 305 352 370 407 416 440 481 484 488 508 520 572 592 605 610 635 671 715 740 793 814 880 962 968 976 1016 1040 1144 1184 1210 1220 1270 1331 1342 1397 1430 1480 1573 1586 1628 1651 1760 1924 1936 1952 2032 2035 2080 2257 2288 2405 2420 2440 2540 2662 2684 2794 2860 2960 3146 3172 3256 3302 3355 3721 3848 3872 3965 4064 4070 4477 4514 4576 4699 4810 4840 4880 5080 5291 5324 5368 5588 5720 5920 6292 6344 6512 6604 6655 6710 6985 7381 7442 7696 7747 7865 7930 8140 8255 8723 8954 9028 9398 9620 9680 9760 10160 10582 10648 10736 11176 11285 11440 12584 12688 13024 13208 13310 13420 13970 14762 14884 15367 15392 15494 15730 15860 16280 16510 17303 17446 17908 18056 18161 18605 18796 19240 19360 20320 21164 21296 21472 22352 22385 22570 22880 23495 24827 25168 25376 26416 26455 26620 26840 27940 29341 29524 29768 30734 30988 31460 31720 32560 33020 34606 34892 35816 36112 36322 36905 37210 37592 38480 38735 40931 42328 42592 43615 44704 44770 45140 46990 48373 49247 49654 50336 51689 52832 52910 53240 53680 55880 58201 58682 59048 59536 61087 61468 61976 62920 63440 65120 66040 69212 69784 71632 72224 72644 73810 74420 75184 76835 76960 77470 81191 81862 84656 85217 86515 87230 89540 90280 90805 93980 95953 96746 98494 99308 100711 103378 105820 106480 107360 111760 116402 117364 118096 119072 122174 122936 123952 124135 125840 126880 132080 137677 138424 139568 143264 145288 146705 147620 148840 150368 153670 154940 162382 163724 169037 169312 170434 173030 174460 179080 180560 181610 187960 191906 193492 196988 198616 199771 201422 204655 206756 211640 212960 223520 232804 234728 236192 241865 244348 245872 246235 247904 248270 251680 258445 264160 273097 275354 276848 279136 286639 290576 291005 293410 295240 297680 305435 307340 309880 322751 324764 327448 338074 340868 346060 348920 358160 361120 363220 375920 383812 386984 393976 397232 399542 402844 405955 409310 413512 423280 426085 450241 465608 469456 472567 479765 483730 488696 491744 492470 496540 503555 516890 532103 546194 550708 553696 568579 573278 581152 582010 586820 590480 595360 610870 614680 619760 640211 645502 649528 654896 671957 676148 681736 688385 692120 697840 716320 726440 751840 767624 773968 787952 794464 799084 805688 811910 818620 827024 845185 846560 852170 900482 931216 937387 938912 945134 959530 967460 977392 984940 993080 998855 1007110 1033780 1055483 1064206 1092388 1101416 1107821 1137158 1146556 1164020 1173640 1180960 1221740 1229360 1239520 1280422 1291004 1299056 1309792 1343914 1352296 1363472 1365485 1376770 1384240 1395680 1433195 1452880 1514447 1535248 1547936 1575904 1598168 1611376 1613755 1623820 1637240 1654048 1690370 1704340 1789801 1800964 1862432 1874774 1890268 1919060 1934920 1954784 1969880 1986160 1997710 2014220 2067560 2110966 2128412 2184776 2197481 2202832 2215642 2251205 2274316 2293112 2328040 2347280 2362835 2443480 2458720 2560844 2582008 2598112 2660515 2687828 2704592 2726944 2730970 2753540 2768480 2842895 2866390 2905760 3004067 3028894 3070496 3153029 3196336 3201055 3222752 3227510 3247640 3274480 3359785 3380740 3408680 3550261 3579602 3601928 3726307 3749548 3780536 3838120 3869840 3939760 3972320 3995420 4028440 4135120 4221932 4256824 4369552 4394962 4405664 4431284 4502410 4548632 4586224 4656080 4686935 4694560 4725670 4886960 4952651 5121688 5164016 5198237 5277415 5321030 5375656 5409184 5461940 5507080 5539105 5685790 5732780 5853133 6008134 6057788 6143371 6254369 6306058 6392672 6402110 6455020 6495280 6548960 6719570 6761480 6817360 7100522 7159204 7203856 7391527 7452614 7499096 7561072 7572235 7676240 7739680 7879520 7990840 8056880 8270240 8443864 8513648 8739104 8789924 8862568 8949005 9004820 9097264 9172448 9312160 9373870 9451340 9773920 9905302 10243376 10311257 10328032 10396474 10554830 10642060 10751312 10923880 10987405 11014160 11078210 11371580 11465560 11706266 12016268 12115576 12186031 12286742 12508738 12612116 12804220 12910040 12990560 13439140 13522960 13634720 14201044 14318408 14407712 14783054 14905228 14998192 15020335 15122144 15144470 15352480 15765145 15981680 16113760 16658917 16887728 17027296 17484979 17579848 17725136 17751305 17898010 18009640 18194528 18631535 18747740 18902680 19687811 19810604 20486752 20622514 20792948 21109660 21284120 21502624 21847760 21974810 22028320 22156420 22743160 22931120 23412532 24032536 24231152 24372062 24573484 24763255 25017476 25224232 25608440 25820080 25991185 26878280 27045920 28402088 28636816 29265665 29566108 29810456 29996384 30040670 30288940 30716855 31271845 31530290 31963360 33317834 33775456 34683319 34969958 35159696 35450272 35502610 35796020 36019280 36957635 37263070 37495480 37805360 39052871 39375622 39621208 40989377 41245028 41585896 42219320 42568240 43695520 43949620 44312840 45486320 45862240 46825064 48065072 48462304 48744124 49146968 49526510 50034952 50448464 51216880 51556285 51640160 51982370 53756560 56804176 57180607 57273632 58531330 59132216 59620912 60081340 60577880 60930155 61433710 62543690 63060580 64384463 66635668 67577081 69366638 69939916 70319392 71005220 71592040 72038560 73915270 74526140 74990960 75610720 78105742 78751244 79242416 81306797 81978754 82490056 83171792 83294585 84438640 85136480 87424895 87899240 88625680 90972640 93650128 96130144 97488248 98293936 98439055 99053020 100069904 100896928 102433760 103112570 103964740 107513120 113608352 114361214 117062660 118264432 119241824 120162680 121155760 121860310 122867420 125087380 126121160 128768926 133271336 134046341 135154162 138733276 139879832 142010440 143184080 147830540 149052280 149981920 156211484 157502488 158484832 162613594 163957508 164980112 166343584 166589170 168877280 173416595 174849790 175798480 177251360 183248087 187300256 192334769 194976496 195264355 196587872 196878110 198106040 200139808 204946885 206225140 207929480 216565921 227304727 228722428 234125320 236528864 240325360 242311520 243720620 245734840 250174760 252242320 257537852 266542672 268092682 270308324 277466552 279759664 284020880 285903035 286368160 295661080 298104560 312422968 315004976 321922315 325227188 327915016 329960224 333178340 337885405 346833190 349699580 351596960 366496174 381516509 384669538 389952992 390528710 393756220 396212080 406533985 409893770 412450280 415858960 433131842 450883147 454609454 457444856 468250640 480650720 487441240 491469680 500349520 504484640 515075704 533085344 536185364 540616648 554933104 559519328 568041760 571806070 591322160 596209120 624845936 628986677 630009952 643844630 650454376 655830032 666356680 670231705 675770810 693666380 699399160 732992348 743347891 763033018 769339076 781057420 787512440 792424160 813067970 819787540 824900560 831717920 866263684 901766294 909218908 914889712 916240435 936501280 961673845 974882480 982939360 1000699040 1030151408 1072370728 1081233296 1082829605 1109866208 1136523635 1143612140 1182644320 1249691872 1257973354 1287689260 1300908752 1311660064 1332713360 1340463410 1351541620 1387332760 1398798320 1465984696 1486695782 1526066036 1538678152 1562114840 1575024880 1626135940 1639575080 1649801120 1732527368 1803532588 1818437816 1829779424 1832480870 1907582545 1923347690 1949764960 2060302816 2115682459 2144741456 2162466592 2165659210 2254415735 2273047270 2287224280 2382225131 2500351997 2515946708 2575378520 2601817504 2665426720 2680926820 2703083240 2774665520 2797596640 2931969392 2973391564 3052132072 3077356304 3124229680 3144933385 3150049760 3252271880 3279150160 3465054736 3607065176 3636875632 3664961740 3716739455 3815165090 3846695380 4231364918 4289482912 4331318420 4508831470 4546094540 4574448560 4764450262 4959714617 5000703994 5031893416 5150757040 5361853640 5406166480 5549331040 5863938784 5946783128 6104264144 6154712608 6248459360 6289866770 6504543760 6558300320 6930109472 7214130352 7273751264 7329923480 7433478910 7630330180 7693390760 8176826801 8462729836 8662636840 9017662940 9092189080 9148897120 9528900524 9919429234 10001407988 10063786832 10301514080 10578412295 10723707280 10812332960 11893566256 11911125655 12208528288 12501759985 12579733540 13009087520 14428260704 14659846960 14866957820 15260660360 15386781520 16353653602 16925459672 17325273680 18035325880 18184378160 19057801048 19838858468 20002815976 20127573664 21156824590 21447414560 23272507049 23787132512 23822251310 24798573085 25003519970 25159467080 27503871967 29319693920 29733915640 30521320720 30773563040 32707307204 33850919344 34650547360 36070651760 36368756320 38115602096 39677716936 40005631952 40884134005 42313649180 46545014098 47644502620 49597146170 50007039940 50318934160 55007743934 59467831280 61042641440 65414614408 67701838688 72141303520 76231204192 79355433872 80011263904 81768268010 84627298360 93090028196 95289005240 99194292340 100014079880 100637868320 110015487868 116362535245 118935662560 130829228816 137519359835 158710867744 163536536020 169254596720 186180056392 190578010480 198388584680 200028159760 220030975736 232725070490 261658457632 275038719670 302542591637 327073072040 338509193440 372360112784 381156020960 396777169360 400056319520 440061951472 465450140980 550077439340 605085183274 654146144080 744720225568 793554338720 880123902944 930900281960 1100154878680 1210170366548 1308292288160 1512712958185 1861800563920 2200309757360 2420340733096 3025425916370 3723601127840 4400619514720 4840681466192 6050851832740 9681362932384 12101703665480 24203407330960 48406814661920
- Sum of all divisors σ(n): 142557745913856
- Sum of proper divisors (its aliquot sum) s(n): 94150931251936
- 48406814661920 is an abundant number, because the sum of its proper divisors (94150931251936) is greater than itself. Its abundance is 45744116590016
Bases of 48406814661920
- Binary: 10110000000110100101101111111000011101001000002
- Hexadecimal: 0x2C0696FE1D20
- Base-36: H5PS7MF4W
Squares and roots of 48406814661920
- 48406814661920 squared (484068146619202) is 2343219705713473083898086400
- 48406814661920 cubed (484068146619203) is 113427802006630816472123167014550949888000
-
The
square root of 48406814661920 is 6957500.6045217129 -
The
cube root of 48406814661920 is 36444.7941724747
Scales and comparisons
How big is 48406814661920?- 48,406,814,661,920 seconds is equal to 1,539,186 years, 50 weeks, 4 days, 14 hours, 5 minutes, 20 seconds.
-
To count from 1 to 48,406,814,661,920 would take you about three million, eight hundred forty-seven thousand, nine hundred sixty-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 48406814661920 cubic inches would be around 3037.1 feet tall.
Recreational maths with 48406814661920
- 48406814661920 backwards is 02916641860484
- The number of decimal digits it has is: 14
- The sum of 48406814661920's digits is 59
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 48406814661920 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 48406814661920 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/48406814661920/
Chicago style:
Numbermatics. 2024. "Number 48406814661920 - Facts about the integer". https://numbermatics.com/n/48406814661920/
The information we have on file for 48406814661920 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 48406814661920, math, Factors of 48406814661920, curriculum, school, college, exams, university, Prime factorization of 48406814661920, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, four hundred six billion, eight hundred fourteen million, six hundred sixty-one thousand, nine hundred twenty.