48001303314432
48,001,303,314,432 is an even composite number composed of six prime numbers multiplied together.
What does the number 48001303314432 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
48001303314432 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 48001303314432:
217 × 32 × 13 × 232 × 61 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 23 × 23 × 61 × 97)See below for interesting mathematical facts about the number 48001303314432 from the Numbermatics database.
Names of 48001303314432
- Cardinal: 48001303314432 can be written as Forty-eight trillion, one billion, three hundred three million, three hundred fourteen thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 4.8001303314432 × 1013
Factors of 48001303314432
Divisors of 48001303314432
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 61 64 69 72 78 92 96 97 104 117 122 128 138 144 156 183 184 192 194 207 208 234 244 256 276 288 291 299 312 366 368 384 388 414 416 468 488 512 529 549 552 576 582 598 624 732 736 768 776 793 828 832 873 897 936 976 1024 1058 1098 1104 1152 1164 1196 1248 1261 1403 1464 1472 1536 1552 1586 1587 1656 1664 1746 1794 1872 1952 2048 2116 2196 2208 2231 2304 2328 2379 2392 2496 2522 2691 2806 2928 2944 3072 3104 3172 3174 3312 3328 3492 3588 3744 3783 3904 4096 4209 4232 4392 4416 4462 4608 4656 4758 4761 4784 4992 5044 5382 5612 5856 5888 5917 6144 6208 6344 6348 6624 6656 6693 6877 6984 7137 7176 7488 7566 7808 8192 8418 8464 8784 8832 8924 9216 9312 9516 9522 9568 9984 10088 10764 11224 11349 11712 11776 11834 12288 12416 12627 12688 12696 13248 13312 13386 13754 13968 14274 14352 14976 15132 15616 16384 16836 16928 17568 17664 17751 17848 18239 18432 18624 19032 19044 19136 19968 20079 20176 20631 21528 22448 22698 23424 23552 23668 24576 24832 25254 25376 25392 26496 26624 26772 27508 27936 28548 28704 29003 29952 30264 31232 32269 32768 33672 33856 35136 35328 35502 35696 36478 36864 37248 38064 38088 38272 39936 40158 40352 41262 43056 44896 45396 46848 47104 47336 49152 49664 50508 50752 50784 51313 52992 53248 53253 53544 54717 55016 55872 57096 57408 58006 59904 60528 61893 62464 64538 65536 67344 67712 70272 70656 71004 71392 72956 73728 74496 76128 76176 76544 76921 79872 80316 80704 82524 86112 87009 89792 90792 93696 94208 94672 96807 98304 99328 101016 101504 101568 102626 105984 106496 106506 107088 109434 110032 111744 114192 114816 116012 119808 121056 123786 124928 129076 131072 134688 135424 136091 140544 141312 142008 142784 145912 147456 148992 152256 152352 153088 153842 153939 159744 160632 161408 164151 165048 172224 174018 179584 181584 187392 188416 189344 193614 196608 198656 202032 203008 203136 205252 211968 212992 213012 214176 218868 220064 223488 228384 229632 230763 232024 239616 242112 247572 249856 258152 261027 269376 270848 272182 281088 282624 284016 285568 290421 291824 294912 297984 304512 304704 306176 307684 307878 319488 321264 322816 328302 330096 344448 348036 359168 363168 374784 376832 378688 387228 393216 397312 404064 406016 406272 408273 410504 419497 423936 425984 426024 428352 437736 440128 446976 456768 459264 461526 461817 464048 479232 484224 495144 499712 516304 522054 538752 541696 544364 562176 565248 568032 571136 580842 583648 589824 595968 609024 609408 612352 615368 615756 638976 642528 645632 656604 660192 667069 688896 692289 696072 718336 726336 749568 753664 757376 774456 794624 808128 812032 812544 816546 821008 838994 847872 851968 852048 856704 875472 880256 893952 913536 918528 923052 923634 928096 958464 968448 990288 999424 1032608 1044108 1077504 1083392 1088728 1124352 1130496 1136064 1142272 1161684 1167296 1179648 1191936 1218048 1218816 1224704 1224819 1230736 1231512 1258491 1277952 1285056 1291264 1313208 1320384 1334138 1377792 1384578 1392144 1436672 1452672 1499136 1507328 1514752 1548912 1589248 1616256 1624064 1625088 1633092 1642016 1677988 1695744 1703936 1704096 1713408 1750944 1760512 1769183 1787904 1827072 1837056 1846104 1847268 1856192 1916928 1936896 1980576 1998848 2001207 2065216 2088216 2155008 2166784 2177456 2248704 2260992 2272128 2284544 2323368 2334592 2383872 2436096 2437632 2449408 2449638 2461472 2463024 2516982 2555904 2570112 2582528 2626416 2640768 2668276 2755584 2769156 2784288 2873344 2905344 2998272 3014656 3029504 3097824 3130093 3178496 3232512 3248128 3250176 3266184 3284032 3355976 3391488 3408192 3426816 3501888 3521024 3538366 3575808 3654144 3674112 3692208 3694536 3712384 3775473 3833856 3873792 3961152 3997696 4002414 4130432 4176432 4310016 4333568 4354912 4497408 4521984 4544256 4569088 4646736 4669184 4767744 4872192 4875264 4898816 4899276 4922944 4926048 5033964 5111808 5140224 5165056 5252832 5281536 5307549 5336552 5511168 5538312 5568576 5746688 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82243584 82640896 84045312 84504576 84920784 85384832 88178688 88612992 89097216 91947008 92971008 96057936 96944128 99130368 100162976 103440384 103940096 104005632 104517888 105089024 107391232 109062144 109658112 112060416 112672768 112683348 113227712 114425856 116932608 117571584 118150656 118225152 118796288 120815136 122073627 123961344 126756864 127381176 128077248 132173824 133645824 137920512 139357184 145416192 146210816 148695552 149413888 150244464 155910144 156008448 156776832 157534208 157633536 161086848 162764836 164487168 165281792 168090624 169009152 169841568 170769664 176357376 177225984 178194432 183894016 185942016 192115872 193888256 198260736 200325952 206880768 208011264 209035776 210178048 214782464 218124288 219316224 224120832 225345536 225366696 226455424 233865216 236301312 236450304 237592576 241630272 244147254 247922688 253513728 254762352 256154496 264347648 267291648 275841024 278714368 290832384 292421632 297391104 298827776 300488928 311820288 312016896 313553664 315068416 315267072 322173696 325529672 328974336 336181248 338018304 339683136 341539328 352714752 354451968 356388864 366220881 371884032 384231744 387776512 396521472 400651904 413761536 418071552 420356096 429564928 436248576 438632448 448241664 450691072 450733392 452910848 467730432 472602624 472900608 475185152 483260544 488294508 495845376 507027456 509524704 512308992 528695296 534583296 551682048 557428736 581664768 594782208 597655552 600977856 624033792 627107328 630136832 630534144 644347392 651059344 657948672 672362496 676036608 679366272 683078656 708903936 712777728 732441762 743768064 768463488 775553024 793042944 801303808 827523072 836143104 840712192 859129856 872497152 877264896 896483328 901382144 901466784 905821696 935460864 945205248 945801216 950370304 966521088 976589016 1014054912 1019049408 1024617984 1057390592 1069166592 1114857472 1163329536 1189564416 1195311104 1201955712 1254214656 1260273664 1261068288 1288694784 1302118688 1315897344 1344724992 1352073216 1358732544 1366157312 1417807872 1425555456 1464883524 1487536128 1536926976 1586085888 1602607616 1655046144 1672286208 1681424384 1718259712 1744994304 1792966656 1802933568 1811643392 1890410496 1891602432 1900740608 1933042176 1953178032 2028109824 2038098816 2049235968 2114781184 2138333184 2229714944 2326659072 2379128832 2390622208 2403911424 2508429312 2520547328 2522136576 2577389568 2604237376 2631794688 2689449984 2704146432 2717465088 2732314624 2835615744 2851110912 2929767048 3073853952 3172171776 3205215232 3344572416 3362848768 3436519424 3489988608 3585933312 3605867136 3623286784 3780820992 3783204864 3801481216 3866084352 3906356064 4056219648 4076197632 4098471936 4229562368 4276666368 4459429888 4758257664 4807822848 5016858624 5041094656 5044273152 5154779136 5208474752 5378899968 5434930176 5464629248 5671231488 5702221824 5859534096 6147707904 6344343552 6410430464 6689144832 6725697536 6873038848 6979977216 7171866624 7211734272 7246573568 7561641984 7566409728 7732168704 7812712128 8112439296 8152395264 8196943872 8553332736 8918859776 9516515328 9615645696 10033717248 10082189312 10088546304 10309558272 10416949504 10757799936 10869860352 10929258496 11342462976 11404443648 11719068192 12295415808 12688687104 12820860928 13378289664 13746077696 14423468544 14493147136 15123283968 15132819456 15464337408 15625424256 16304790528 16393887744 17106665472 17837719552 19033030656 19231291392 20067434496 20177092608 20619116544 20833899008 21515599872 21739720704 21858516992 22684925952 23438136384 24590831616 25641721856 26756579328 27492155392 28846937088 28986294272 30246567936 30265638912 30928674816 31250848512 32609581056 32787775488 34213330944 38066061312 38462582784 40134868992 41238233088 41667798016 43479441408 43717033984 45369851904 46876272768 49181663232 51283443712 53513158656 54984310784 57693874176 57972588544 60531277824 61857349632 62501697024 65219162112 65575550976 76925165568 80269737984 82476466176 83335596032 86958882816 87434067968 90739703808 93752545536 98363326464 102566887424 115387748352 115945177088 123714699264 125003394048 130438324224 131151101952 153850331136 160539475968 164952932352 166671192064 173917765632 187505091072 196726652928 205133774848 230775496704 231890354176 247429398528 250006788096 260876648448 262302203904 307700662272 333342384128 347835531264 375010182144 393453305856 410267549696 461550993408 494858797056 500013576192 521753296896 615401324544 666684768256 695671062528 750020364288 786906611712 923101986816 1000027152384 1043506593792 1230802649088 1333369536512 1500040728576 1846203973632 2000054304768 2087013187584 2666739073024 3000081457152 3692407947264 4000108609536 5333478146048 6000162914304 8000217219072 12000325828608 16000434438144 24000651657216 48001303314432
- Sum of all divisors σ(n): 160307023240728
- Sum of proper divisors (its aliquot sum) s(n): 112305719926296
- 48001303314432 is an abundant number, because the sum of its proper divisors (112305719926296) is greater than itself. Its abundance is 64304416611864
Bases of 48001303314432
- Binary: 10101110101000001011001010001000000000000000002
- Hexadecimal: 0x2BA82CA20000
- Base-36: H0JHSMWW0
Squares and roots of 48001303314432
- 48001303314432 squared (480013033144322) is 2304125119884100508659482624
- 48001303314432 cubed (480013033144323) is 110601008753958703094015440396677512429568
-
The
square root of 48001303314432 is 6928297.2882543081 -
The
cube root of 48001303314432 is 36342.7407813731
Scales and comparisons
How big is 48001303314432?- 48,001,303,314,432 seconds is equal to 1,526,292 years, 50 weeks, 2 days, 5 hours, 7 minutes, 12 seconds.
-
To count from 1 to 48,001,303,314,432 would take you about three million, eight hundred fifteen thousand, seven hundred thirty-two 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 48001303314432 cubic inches would be around 3028.6 feet tall.
Recreational maths with 48001303314432
- 48001303314432 backwards is 23441330310084
- 48001303314432 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48001303314432's digits is 36
- More coming soon!
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The information we have on file for 48001303314432 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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