48834528390144
48,834,528,390,144 is an even composite number composed of five prime numbers multiplied together.
What does the number 48834528390144 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1056 divisors.
48834528390144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 48834528390144:
210 × 37 × 7 × 31 × 3172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 31 × 317 × 317)See below for interesting mathematical facts about the number 48834528390144 from the Numbermatics database.
Names of 48834528390144
- Cardinal: 48834528390144 can be written as Forty-eight trillion, eight hundred thirty-four billion, five hundred twenty-eight million, three hundred ninety thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.8834528390144 × 1013
Factors of 48834528390144
Divisors of 48834528390144
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 54 56 62 63 64 72 81 84 93 96 108 112 124 126 128 144 162 168 186 189 192 216 217 224 243 248 252 256 279 288 317 324 336 372 378 384 432 434 448 486 496 504 512 558 567 576 634 648 651 672 729 744 756 768 837 864 868 896 951 972 992 1008 1024 1116 1134 1152 1268 1296 1302 1344 1458 1488 1512 1536 1674 1701 1728 1736 1792 1902 1944 1953 1984 2016 2187 2219 2232 2268 2304 2511 2536 2592 2604 2688 2853 2916 2976 3024 3072 3348 3402 3456 3472 3584 3804 3888 3906 3968 4032 4374 4438 4464 4536 4608 5022 5072 5103 5184 5208 5376 5706 5832 5859 5952 6048 6657 6696 6804 6912 6944 7168 7533 7608 7776 7812 7936 8064 8559 8748 8876 8928 9072 9216 9827 10044 10144 10206 10368 10416 10752 11412 11664 11718 11904 12096 13314 13392 13608 13824 13888 15066 15216 15309 15552 15624 15872 16128 17118 17496 17577 17752 17856 18144 19654 19971 20088 20288 20412 20736 20832 21504 22599 22824 23328 23436 23808 24192 25677 26628 26784 27216 27648 27776 29481 30132 30432 30618 31104 31248 31744 32256 34236 34992 35154 35504 35712 36288 39308 39942 40176 40576 40824 41472 41664 45198 45648 46656 46872 47616 48384 51354 52731 53256 53568 54432 55552 58962 59913 60264 60864 61236 62208 62496 64512 67797 68472 68789 69984 70308 71008 71424 72576 77031 78616 79884 80352 81152 81648 82944 83328 88443 90396 91296 93312 93744 95232 96768 100489 102708 105462 106512 107136 108864 111104 117924 119826 120528 121728 122472 124416 124992 135594 136944 137578 139968 140616 142016 142848 145152 154062 157232 158193 159768 160704 162304 163296 166656 176886 179739 180792 182592 186624 187488 193536 200978 205416 206367 210924 213024 214272 217728 222208 231093 235848 239652 241056 243456 244944 248832 249984 265329 271188 273888 275156 279936 281232 284032 285696 290304 301467 308124 314464 316386 319536 321408 324608 326592 333312 353772 359478 361584 365184 373248 374976 401956 410832 412734 421848 426048 428544 435456 462186 471696 474579 479304 482112 486912 489888 499968 530658 539217 542376 547776 550312 559872 562464 568064 580608 602934 616248 619101 628928 632772 639072 642816 653184 666624 693279 703423 707544 718956 723168 730368 746496 749952 795987 803912 821664 825468 843696 852096 857088 870912 904401 924372 943392 949158 958608 964224 973824 979776 999936 1061316 1078434 1084752 1095552 1100624 1119744 1124928 1136128 1205868 1232496 1238202 1257856 1265544 1278144 1285632 1306368 1386558 1406846 1415088 1437912 1446336 1460736 1499904 1591974 1607824 1617651 1643328 1650936 1687392 1704192 1741824 1808802 1848744 1857303 1886784 1898316 1917216 1928448 1959552 1999872 2110269 2122632 2156868 2169504 2191104 2201248 2239488 2249856 2272256 2387961 2411736 2464992 2476404 2515712 2531088 2556288 2571264 2612736 2713203 2773116 2813692 2830176 2875824 2892672 2921472 2999808 3115159 3183948 3215648 3235302 3286656 3301872 3374784 3408384 3617604 3697488 3714606 3773568 3796632 3834432 3856896 3919104 4220538 4245264 4313736 4339008 4382208 4402496 4499712 4775922 4823472 4852953 4929984 4952808 5031424 5062176 5112576 5225472 5426406 5546232 5571909 5627384 5660352 5751648 5785344 5999616 6230318 6330807 6367896 6431296 6470604 6573312 6603744 6749568 6816768 7163883 7235208 7394976 7429212 7547136 7593264 7668864 7713792 7838208 8139609 8441076 8490528 8627472 8678016 8764416 8804992 8999424 9345477 9551844 9646944 9705906 9859968 9905616 10062848 10124352 10225152 10852812 11092464 11143818 11254768 11320704 11503296 11570688 12460636 12661614 12735792 12862592 12941208 13146624 13207488 13499136 14327766 14470416 14789952 14858424 15094272 15186528 15337728 15676416 16279218 16715727 16882152 16981056 17254944 17356032 17609984 17998848 18690954 18992421 19103688 19293888 19411812 19719936 19811232 20248704 20450304 21491649 21705624 21806113 22184928 22287636 22509536 22641408 23006592 23141376 24418827 24921272 25323228 25471584 25725184 25882416 26293248 26414976 26998272 28036431 28655532 28940832 29579904 29716848 30188544 30373056 30675456 32558436 33431454 33764304 33962112 34509888 34712064 35219968 37381908 37984842 38207376 38587776 38823624 39439872 39622464 40497408 42983298 43411248 43612226 44369856 44575272 45019072 45282816 46013184 48837654 49842544 50147181 50646456 50943168 51450368 51764832 52829952 53996544 56072862 56977263 57311064 57881664 59159808 59433696 60746112 61350912 65116872 65418339 66862908 67528608 67924224 69019776 69424128 70439936 73256481 74763816 75969684 76414752 77175552 77647248 78879744 79244928 80994816 84109293 85966596 86822496 87224452 88739712 89150544 90038144 90565632 92026368 97675308 99685088 100294362 101292912 101886336 102900736 103529664 105659904 112145724 113954526 114622128 115763328 118319616 118867392 121492224 130233744 130836678 133725816 135057216 135848448 138039552 146512962 149527632 150441543 151939368 152829504 154351104 155294496 158489856 161989632 168218586 170931789 171933192 173644992 174448904 177479424 178301088 180076288 184052736 195350616 196255017 199370176 200588724 202585824 203772672 207059328 211319808 219769443 224291448 227909052 229244256 231526656 236639232 237734784 242984448 252327879 260467488 261673356 267451632 270114432 271696896 276079104 293025924 299055264 300883086 303878736 305659008 308702208 310588992 316979712 336437172 341863578 343866384 347289984 348897808 354958848 356602176 360152576 390701232 392510034 398740352 401177448 405171648 407545344 414118656 439538886 448582896 455818104 458488512 463053312 475469568 485968896 504655758 512795367 520934976 523346712 534903264 540228864 552158208 586051848 588765051 598110528 601766172 607757472 611318016 621177984 633959424 672874344 683727156 687732768 694579968 697795616 709917696 713204352 720305152 756983637 781402464 785020068 797480704 802354896 810343296 815090688 828237312 879077772 897165792 911636208 916977024 926106624 950939136 1009311516 1025590734 1041869952 1046693424 1069806528 1080457728 1172103696 1177530102 1196221056 1203532344 1215514944 1222636032 1242355968 1345748688 1367454312 1375465536 1389159936 1395591232 1426408704 1513967274 1538386101 1562804928 1570040136 1594961408 1604709792 1620686592 1656474624 1758155544 1766295153 1794331584 1823272416 1833954048 1901878272 2018623032 2051181468 2083739904 2093386848 2139613056 2160915456 2270950911 2344207392 2355060204 2392442112 2407064688 2431029888 2445272064 2484711936 2691497376 2734908624 2750931072 2778319872 2791182464 2852817408 3027934548 3076772202 3125609856 3140080272 3189922816 3209419584 3241373184 3516311088 3532590306 3588663168 3646544832 3667908096 4037246064 4102362936 4167479808 4186773696 4279226112 4541901822 4688414784 4710120408 4784884224 4814129376 4862059776 4969423872 5298885459 5382994752 5469817248 5501862144 5582364928 5705634816 6055869096 6153544404 6251219712 6280160544 6418839168 6482746368 6812852733 7032622176 7065180612 7177326336 7293089664 7335816192 8074492128 8204725872 8334959616 8373547392 8558452224 9083803644 9376829568 9420240816 9569768448 9628258752 9724119552 10597770918 10765989504 10939634496 11003724288 11164729856 12111738192 12307088808 12502439424 12560321088 12837678336 13625705466 14065244352 14130361224 14354652672 14586179328 15896656377 16148984256 16409451744 16747094784 17116904448 18167607288 18753659136 18840481632 19256517504 19448239104 21195541836 21531979008 21879268992 22007448576 22329459712 24223476384 24614177616 25004878848 25120642176 25675356672 27251410932 28130488704 28260722448 28709305344 29172358656 31793312754 32297968512 32818903488 33494189568 36335214576 37507318272 37680963264 38513035008 42391083672 43063958016 43758537984 47689969131 48446952768 49228355232 50241284352 51350713344 54502821864 56260977408 56521444896 58344717312 63586625508 64595937024 65637806976 66988379136 72670429152 75014636544 75361926528 77026070016 84782167344 86127916032 87517075968 95379938262 96893905536 98456710464 100482568704 109005643728 112521954816 113042889792 127173251016 129191874048 131275613952 145340858304 150723853056 154052140032 169564334688 175034151936 190759876524 193787811072 196913420928 200965137408 218011287456 225043909632 226085779584 254346502032 258383748096 262551227904 290681716608 301447706112 339128669376 381519753048 387575622144 393826841856 436022574912 452171559168 508693004064 525102455808 581363433216 602895412224 678257338752 763039506096 775151244288 787653683712 872045149824 904343118336 1017386008128 1162726866432 1356514677504 1526079012192 1575307367424 1744090299648 1808686236672 2034772016256 2325453732864 2713029355008 3052158024384 3488180599296 4069544032512 5426058710016 6104316048768 6976361198592 8139088065024 12208632097536 16278176130048 24417264195072 48834528390144
- Sum of all divisors σ(n): 173269587742720
- Sum of proper divisors (its aliquot sum) s(n): 124435059352576
- 48834528390144 is an abundant number, because the sum of its proper divisors (124435059352576) is greater than itself. Its abundance is 75600530962432
Bases of 48834528390144
- Binary: 10110001101010001011001011011110101100000000002
- Hexadecimal: 0x2C6A2CB7AC00
- Base-36: HB69TC000
Squares and roots of 48834528390144
- 48834528390144 squared (488345283901442) is 2384811163087780336276340736
- 48834528390144 cubed (488345283901443) is 116461128448942541701455348925929288105984
-
The
square root of 48834528390144 is 6988170.6039666777 -
The
cube root of 48834528390144 is 36551.8194072721
Scales and comparisons
How big is 48834528390144?- 48,834,528,390,144 seconds is equal to 1,552,786 years, 49 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
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To count from 1 to 48,834,528,390,144 would take you about three million, eight hundred eighty-one 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 48834528390144 cubic inches would be around 3046 feet tall.
Recreational maths with 48834528390144
- 48834528390144 backwards is 44109382543884
- 48834528390144 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48834528390144's digits is 63
- More coming soon!
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The information we have on file for 48834528390144 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 48834528390144, math, Factors of 48834528390144, curriculum, school, college, exams, university, Prime factorization of 48834528390144, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, eight hundred thirty-four billion, five hundred twenty-eight million, three hundred ninety thousand, one hundred forty-four.