48126316825664
48,126,316,825,664 is an even composite number composed of five prime numbers multiplied together.
48126316825664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 48126316825664:
26 × 72 × 113 × 193 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 11 × 11 × 19 × 19 × 19 × 41 × 41)See below for interesting mathematical facts about the number 48126316825664 from the Numbermatics database.
Names of 48126316825664
- Cardinal: 48126316825664 can be written as Forty-eight trillion, one hundred twenty-six billion, three hundred sixteen million, eight hundred twenty-five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.8126316825664 × 1013
Factors of 48126316825664
Divisors of 48126316825664
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 7 8 11 14 16 19 22 28 32 38 41 44 49 56 64 76 77 82 88 98 112 121 133 152 154 164 176 196 209 224 242 266 287 304 308 328 352 361 392 418 448 451 484 532 539 574 608 616 656 704 722 779 784 836 847 902 931 968 1064 1078 1148 1216 1232 1312 1331 1444 1463 1558 1568 1672 1681 1694 1804 1862 1936 2009 2128 2156 2296 2299 2464 2527 2624 2662 2888 2926 3116 3136 3157 3344 3362 3388 3608 3724 3872 3971 4018 4256 4312 4592 4598 4928 4961 5054 5324 5453 5776 5852 5929 6232 6314 6688 6724 6776 6859 7216 7448 7744 7942 8036 8512 8569 8624 9184 9196 9317 9922 10108 10241 10648 10906 11552 11704 11767 11858 12464 12628 13376 13448 13552 13718 14432 14801 14896 15884 16072 16093 17138 17248 17689 18368 18392 18491 18634 19844 20216 20482 21296 21812 22099 23104 23408 23534 23716 24928 25256 25289 26896 27104 27436 27797 28864 29602 29792 31768 31939 32144 32186 34276 34496 34727 35378 36784 36982 37268 38171 39688 40432 40964 42592 43624 43681 44198 46816 47068 47432 48013 49856 50512 50578 53792 54208 54571 54872 55594 59204 59584 59983 63536 63878 64288 64372 65219 68552 69454 70756 73568 73964 74536 75449 76342 79376 80864 81928 82369 85184 87248 87362 88396 93632 94136 94259 94864 96026 101024 101156 103607 107584 109142 109744 111188 112651 118408 119966 127072 127756 128576 128744 129437 130438 137104 138908 141512 147136 147928 149072 150898 152684 158752 161728 162811 163856 164738 174496 174724 176792 177023 188272 188518 189728 192052 194579 202048 202312 203401 207214 218284 219488 222376 223573 225302 236816 239932 243089 254144 255512 257488 258874 260876 274208 277816 281219 283024 295856 298144 301796 305368 305767 317504 325622 327712 329476 336091 348992 349448 351329 353584 354046 376544 377036 379456 381997 384104 389158 404624 406802 414428 419881 436568 438976 444752 447146 450604 473632 479864 480491 486178 511024 514976 517748 521752 528143 548416 555632 562438 566048 591712 596288 603592 606841 610736 611534 651244 655424 658952 659813 672182 698896 702658 707168 708092 725249 753088 754072 763994 768208 778316 809248 813604 828856 829939 839762 873136 889504 894292 901208 906059 947264 959728 960982 972356 1022048 1029952 1035496 1036849 1043504 1056286 1111264 1124876 1132096 1139677 1183424 1207184 1213682 1221472 1223068 1239161 1302488 1317904 1319626 1344364 1397792 1405316 1414336 1416184 1423807 1450498 1508144 1527988 1536416 1556632 1565011 1618496 1627208 1657712 1659878 1679524 1746272 1779008 1788584 1790921 1802416 1812118 1919456 1921964 1944712 1968533 2044096 2070992 2073698 2087008 2112572 2140369 2222528 2237411 2249752 2279354 2414368 2427364 2442944 2446136 2459303 2478322 2604976 2635808 2639252 2673979 2688728 2795584 2810632 2832368 2847614 2900996 3016288 3055976 3072832 3093409 3113264 3130022 3254416 3315424 3319756 3359048 3363437 3492544 3577168 3581842 3604832 3624236 3697001 3838912 3843928 3864619 3889424 3937066 4141984 4147396 4174016 4225144 4247887 4280738 4474822 4499504 4558708 4618691 4828736 4854728 4892272 4918606 4956644 5209952 5271616 5278504 5347958 5377456 5621264 5664736 5695228 5801992 5809573 6032576 6111952 6186818 6226528 6260044 6508832 6630848 6639512 6675251 6718096 6726874 7154336 7163684 7209664 7248472 7257943 7394002 7687856 7729238 7778848 7874132 7977739 8283968 8294792 8450288 8495774 8561476 8949644 8999008 9117416 9129329 9237382 9709456 9784544 9837212 9913288 9966649 10419904 10557008 10695916 10754912 11242528 11329472 11390456 11529979 11603984 11619146 12223904 12373636 12453056 12520088 12536447 13017664 13279024 13350502 13436192 13453748 13779731 14308672 14327368 14496944 14515886 14788004 15375712 15458476 15557696 15661877 15748264 15955478 16589584 16900576 16991548 17122952 17215121 17899288 17998016 18234832 18258658 18474764 19418912 19569088 19674424 19700131 19826576 19933298 21114016 21391832 21509824 21653863 22485056 22780912 23059958 23207968 23238292 23544059 24447808 24747272 25040176 25072894 26558048 26701004 26872384 26907496 27052333 27559462 28654736 28993888 29031772 29576008 29735209 30751424 30916952 31323754 31496528 31910956 33179168 33801152 33983096 34027499 34245904 34430242 35798576 36469664 36517316 36949528 38837824 39348848 39400262 39653152 39866596 40667011 42228032 42510809 42783664 43307726 45561824 46119916 46415936 46476584 46726757 47088118 49494544 50080352 50145788 50805601 53116096 53402008 53814992 54104666 55118924 57309472 57987776 58063544 59152016 59470418 61833904 62647508 62993056 63821912 63905303 66358336 67966192 68054998 68491808 68860484 71597152 72939328 73034632 73427761 73899056 78697696 78800524 79306304 79733192 80709853 81334022 85021618 85567328 86615452 87755129 91123648 92239832 92953168 93453514 94176236 98989088 100160704 100291576 101611202 106804016 107629984 108209332 109633139 110237848 114618944 116127088 118304032 118940836 123667808 125295016 125986112 126829769 127643824 127810606 135932384 136109996 136983616 137720968 137900917 143194304 146069264 146855522 147798112 151577041 157395392 157601048 159466384 161419706 162668044 170043236 171134656 173230904 175510258 184479664 185906336 186907028 188352472 189366331 197978176 200583152 203222404 213608032 215259968 216418664 219266278 220475696 232254176 236608064 237881672 238192493 247335616 250590032 253659538 255287648 255621212 271864768 272219992 275441936 275801834 292138528 293711044 295596224 297575663 303154082 315202096 318932768 322839412 325336088 327087299 340086472 346461808 351020516 368959328 371812672 373814056 374302489 376704944 378732662 401166304 406444808 427216064 432837328 438532556 440951392 447337121 464508352 475763344 476384986 501180064 507319076 510575296 511242424 513994327 544439984 550883872 551603668 564968971 584277056 587422088 595151326 606308164 630404192 637865536 645678824 650672176 654174598 680172944 692923616 702041032 737918656 747628112 748604978 753409888 757465324 802332608 807705371 812889616 865674656 877065112 881902784 887808383 894674242 951526688 952769972 965306419 1002360128 1014638152 1022484848 1027988654 1088879968 1101767744 1103207336 1129937942 1174844176 1190302652 1212616328 1260808384 1291357648 1301344352 1308349196 1360345888 1385847232 1395127459 1404082064 1495256224 1497209956 1506819776 1514930648 1615410742 1625779232 1667347451 1731349312 1754130224 1775616766 1789348484 1903053376 1905539944 1930612838 2029276304 2044969696 2055977308 2083029641 2177759936 2206414672 2259875884 2349688352 2380605304 2425232656 2582715296 2602688704 2616698392 2620117423 2720691776 2790254918 2808164128 2990512448 2994419912 3029861296 3230821484 3251558464 3334694902 3508260448 3551233532 3578696968 3597960289 3811079888 3861225676 4058552608 4089939392 4111954616 4166059282 4412829344 4519751768 4699376704 4761210608 4850465312 5165430592 5233396784 5240234846 5580509836 5616328256 5653937597 5988839824 6059722592 6214658681 6461642968 6669389804 7016520896 7102467064 7157393936 7195920578 7622159776 7722451352 8117105216 8223909232 8332118564 8825658688 9039503536 9522421216 9700930624 9765892213 10466793568 10480469692 11161019672 11307875194 11977679648 12119445184 12429317362 12923285936 13338779608 14204934128 14314787872 14391841156 15244319552 15346402049 15444902704 16447818464 16664237128 18079007072 18340821961 19044842432 19531784426 20933587136 20960939384 22322039344 22615750388 23955359296 24858634724 25846571872 26677559216 28409868256 28629575744 28783682312 30692804098 30889805408 32895636928 33328474256 36158014144 36681643922 39063568852 39577563179 41921878768 44644078688 45231500776 49717269448 51693143744 53355118432 56819736512 57567364624 61385608196 61779610816 66656948512 68361245491 73363287844 78127137704 79155126358 83843757536 89288157376 90463001552 99434538896 106710236864 107424814343 115134729248 122771216392 133313897024 136722490982 146726575688 156254275408 158310252716 167687515072 180926003104 198869077792 214849628686 230269458496 245542432784 273444981964 293453151376 312508550816 316620505432 361852006208 397738155584 429699257372 491084865568 546889963928 586906302752 625017101632 633241010864 751973700401 859398514744 982169731136 1093779927856 1173812605504 1266482021728 1503947400802 1718797029488 2187559855712 2532964043456 3007894801604 3437594058976 4375119711424 6015789603208 6875188117952 12031579206416 24063158412832 48126316825664
- Sum of all divisors σ(n): 132203665609920
- Sum of proper divisors (its aliquot sum) s(n): 84077348784256
- 48126316825664 is an abundant number, because the sum of its proper divisors (84077348784256) is greater than itself. Its abundance is 35951031958592
Bases of 48126316825664
- Binary: 10101111000101010010000000010011001100010000002
- Hexadecimal: 0x2BC54804CC40
- Base-36: H24XAGBI8
Squares and roots of 48126316825664
- 48126316825664 squared (481263168256642) is 2316142371204189829369040896
- 48126316825664 cubed (481263168256643) is 111467401569917515030136734053978918354944
-
The
square root of 48126316825664 is 6937313.3723123681 -
The
cube root of 48126316825664 is 36374.2635028487
Scales and comparisons
How big is 48126316825664?- 48,126,316,825,664 seconds is equal to 1,530,268 years, 3 days, 20 hours, 27 minutes, 44 seconds.
-
To count from 1 to 48,126,316,825,664 would take you about three million, eight hundred twenty-five thousand, six hundred seventy 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 48126316825664 cubic inches would be around 3031.2 feet tall.
Recreational maths with 48126316825664
- 48126316825664 backwards is 46652861362184
- The number of decimal digits it has is: 14
- The sum of 48126316825664's digits is 62
- More coming soon!
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The information we have on file for 48126316825664 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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