48042688328096
48,042,688,328,096 is an even composite number composed of six prime numbers multiplied together.
48042688328096 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 48042688328096:
25 × 72 × 115 × 17 × 192 × 31
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 17 × 19 × 19 × 31)See below for interesting mathematical facts about the number 48042688328096 from the Numbermatics database.
Names of 48042688328096
- Cardinal: 48042688328096 can be written as Forty-eight trillion, forty-two billion, six hundred eighty-eight million, three hundred twenty-eight thousand and ninety-six.
Scientific notation
- Scientific notation: 4.8042688328096 × 1013
Factors of 48042688328096
Divisors of 48042688328096
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 7 8 11 14 16 17 19 22 28 31 32 34 38 44 49 56 62 68 76 77 88 98 112 119 121 124 133 136 152 154 176 187 196 209 217 224 238 242 248 266 272 304 308 323 341 352 361 374 392 418 434 476 484 496 527 532 539 544 589 608 616 646 682 722 748 784 833 836 847 868 931 952 968 992 1054 1064 1078 1178 1232 1292 1309 1331 1364 1444 1463 1496 1519 1568 1666 1672 1694 1736 1862 1904 1936 2057 2108 2128 2156 2261 2299 2356 2387 2464 2527 2584 2618 2662 2728 2888 2926 2992 3038 3332 3344 3388 3472 3553 3689 3724 3751 3808 3872 3971 4114 4123 4216 4256 4312 4522 4598 4712 4774 5054 5168 5236 5324 5456 5776 5797 5852 5929 5984 6076 6137 6479 6664 6688 6776 6944 7106 7378 7448 7502 7942 8228 8246 8432 8624 9044 9163 9196 9317 9424 9548 10013 10108 10241 10336 10472 10648 10912 11191 11552 11594 11704 11858 12152 12274 12958 13328 13552 14212 14399 14641 14756 14896 15004 15827 15884 16093 16456 16492 16709 16864 17248 17689 18088 18326 18392 18634 18848 19096 20026 20216 20482 20944 21296 22382 22627 23188 23408 23716 24304 24548 24871 25289 25823 25916 26257 26656 27104 27797 28424 28798 28861 29282 29512 29792 30008 31654 31768 32186 32912 32984 33418 35378 36176 36652 36784 37268 38192 39083 40052 40432 40579 40964 41261 41888 42592 42959 43681 44764 45254 45353 46376 46816 47432 48608 49096 49742 50578 51646 51832 52514 55594 56848 57596 57722 58564 59024 60016 63308 63536 63767 64372 65219 65824 65968 66836 67507 70091 70756 71269 72352 73304 73568 74536 76384 78166 78337 80104 80864 81158 81928 82522 85918 87362 89528 90508 90706 92752 94864 98192 99484 100793 101156 102487 103292 103664 105028 110143 111188 112651 113696 115192 115444 117128 118048 120032 123101 126616 127072 127534 128744 130438 131936 133672 135014 140182 141512 142538 146608 149072 156332 156674 158389 160208 161051 162316 163856 165044 171836 174097 174724 177023 179056 181016 181412 183799 185504 189728 190247 194579 196384 198968 201586 202312 204974 206584 207328 210056 220286 222376 225302 230384 230888 234256 246202 248897 253232 255068 257488 260876 267344 270028 273581 278179 280364 283024 284053 285076 288827 293216 298144 300713 305767 312664 313348 316778 317471 320416 322102 324632 327712 330088 343672 348194 349448 354046 358112 362032 362824 367598 380494 389158 397936 403172 404624 409948 413168 420112 429913 440572 444752 446369 450604 453871 460768 461776 468512 472549 480491 490637 492404 497794 498883 506464 510136 514976 521752 534688 540056 547162 548359 556358 560728 566048 568106 570152 577654 601426 611534 625328 626696 633556 634942 644204 649264 660176 687344 696388 698896 701437 708092 717409 724064 725648 735196 742577 760988 771001 778316 783959 795872 806344 809248 819896 826336 840224 859826 861707 881144 889504 892738 901208 907742 923552 945098 960982 981274 984808 995588 997766 1020272 1043504 1080112 1094324 1096718 1108723 1112716 1121456 1127357 1136212 1140304 1155308 1202852 1211573 1223068 1239161 1250656 1253392 1267112 1269884 1288408 1298528 1320352 1331729 1354111 1374688 1392776 1397792 1402874 1416184 1434818 1451296 1470392 1485154 1521976 1542002 1556632 1567918 1612688 1639792 1719652 1723414 1742279 1762288 1785476 1802416 1815484 1890196 1915067 1921964 1947253 1962548 1969616 1991176 1995532 2021789 2040544 2087008 2092717 2140369 2160224 2188648 2193436 2217446 2225432 2242912 2254714 2272424 2280608 2310616 2405704 2423146 2446136 2478322 2506784 2534224 2539768 2576816 2663458 2708222 2737867 2785552 2805748 2832368 2869636 2940784 2970308 3009391 3043952 3059969 3084004 3113264 3124583 3135836 3177097 3225376 3279584 3307843 3363437 3439304 3446828 3484558 3492181 3524576 3570952 3604832 3630968 3780392 3830134 3843928 3894506 3925096 3939232 3982352 3991064 4043578 4185434 4280738 4377296 4386872 4434892 4450864 4509428 4544848 4621232 4729043 4811408 4846292 4892272 4910059 4956644 4992581 5068448 5079536 5153632 5198039 5285401 5326916 5397007 5416444 5475734 5487713 5571104 5611496 5664736 5739272 5881568 5940616 6018782 6031949 6087904 6119938 6168008 6226528 6249166 6271672 6354194 6615686 6726874 6878608 6893656 6969116 6984362 7141904 7261936 7560784 7660268 7687856 7715807 7789012 7850192 7891499 7964704 7982128 8087156 8168347 8370868 8481011 8561476 8623549 8754592 8773744 8869784 8901728 9018856 9089696 9242464 9322103 9458086 9478777 9622816 9692584 9784544 9820118 9913288 9985162 10159072 10396078 10570802 10653832 10794014 10832888 10951468 10975426 11222992 11478544 11881232 12037564 12063898 12195953 12239876 12336016 12498332 12543344 12708388 13231372 13327303 13453748 13630771 13757216 13787312 13938232 13968724 14283808 14523872 14649019 14895221 15121568 15320536 15375712 15431614 15578024 15700384 15782998 15964256 16174312 16336694 16741736 16962022 17122952 17247098 17547488 17739568 18037712 18644206 18916172 18957554 19165069 19385168 19640236 19826576 19970324 20792156 21065737 21141604 21307664 21419783 21588028 21665776 21902936 21950852 22239679 22445984 22957088 23019887 23544059 23762464 24075128 24127796 24391906 24479752 24672032 24996664 25086688 25416776 26462744 26654606 26907496 27261542 27574624 27876464 27937448 29298038 29790442 30641072 30863228 31156048 31565996 32348624 32673388 33103301 33483472 33924044 34245904 34370413 34494196 34948067 35479136 36075424 36386273 36997807 37288412 37832344 37915108 38330138 38413991 38770336 39280472 39653152 39940648 41584312 42131474 42283208 42615328 42839566 43176056 43331552 43805872 43901704 44479358 46039774 47088118 48150256 48255592 48783812 48959504 49993328 50833552 52019473 52925488 53309212 53814992 54010649 54523084 55752928 55874896 57178429 58139411 58596076 59367077 59580884 60364843 61282144 61726456 62312096 63131992 64697248 65346776 66206602 66351439 66966944 67848088 68491808 68740826 68988392 69896134 72772546 73995614 74576824 75664688 75830216 76660276 76827982 78560944 79881296 83168624 84262948 84566416 84873877 85679132 86352112 87611744 87803408 88958716 89851817 92079548 93291121 94176236 94859039 96300512 96511184 97567624 97919008 99986656 101667104 102543133 104038946 104266547 105850976 106618424 107629984 108021298 109046168 111749792 114356858 116278822 117192152 118734154 119161768 120729686 123452912 126263984 130693552 132413204 132702878 134155483 135696176 137481652 137976784 139792268 145545092 146600333 147991228 149153648 149938481 151329376 151660432 153320552 153655964 157121888 159762592 161139209 163847431 166337248 168525896 169132832 169747754 171358264 172704224 175606816 177917432 179703634 184159096 186582242 188352472 189718078 193022368 195135248 205086266 208077892 208533094 213236848 216042596 218092336 228713716 231723107 232557644 234384304 237468308 238323536 241459372 244636469 246905824 252527968 253218757 258984649 261387104 264826408 265405756 268310966 271392352 274963304 275953568 279584536 291090184 293200666 295982456 298307296 299876962 303320864 306641104 307311928 322278418 327694862 337051792 339495508 342716528 355834864 359407268 364136311 368318192 373164484 376704944 378074543 379436156 390270496 400249003 406975877 410172532 416155784 417066188 422553901 426473696 432085192 436184672 457427432 463446214 465115288 468768608 474936616 476647072 482918744 489272938 506437514 517969298 529652816 530811512 536621932 549926608 559169072 582180368 586401332 591964912 594117139 599753924 613282208 614623856 628962719 644556836 653037847 655389724 664013273 674103584 678991016 685433056 711669728 718814536 728272622 729865829 736636384 746328968 753409888 756149086 758872312 800498006 813951754 820345064 832311568 834132376 845107802 864170384 914854864 926892428 930230576 949873232 965837488 978545876 988369987 1012875028 1026202331 1035938596 1059305632 1061623024 1073243864 1099853216 1118338144 1127974463 1146932017 1164360736 1172802664 1183929824 1188234278 1199507848 1229247712 1257925438 1289113672 1306075694 1310779448 1328026546 1357982032 1437629072 1456545244 1459731658 1492657936 1512298172 1517744624 1600996012 1612603663 1627903508 1640690128 1664623136 1668264752 1690215604 1728340768 1772531299 1802321741 1829709728 1853784856 1860461152 1899746464 1931674976 1957091752 1976739974 2025750056 2052404662 2071877192 2123246048 2146487728 2255948926 2293864034 2345605328 2376468556 2399015696 2515850876 2548954177 2578227344 2612151388 2621558896 2656053092 2715964064 2785406327 2848831139 2875258144 2913090488 2919463316 2985315872 3024596344 3035489248 3201992024 3225207326 3255807016 3281380256 3336529504 3380431208 3545062598 3604643482 3707569712 3914183504 3953479948 4051500112 4104809324 4143754384 4158819973 4292975456 4402739033 4511897852 4587728068 4648092911 4691210656 4752937112 4798031392 5031701752 5097908354 5156454688 5224302776 5243117792 5312106184 5570812654 5697662278 5826180976 5838926632 6049192688 6403984048 6450414652 6511614032 6760862416 6918589909 7090125196 7183416317 7209286964 7415139424 7828367008 7906959896 8028524119 8103000224 8209618648 8287508768 8317639946 8805478066 9023795704 9175456136 9296185822 9505874224 10063403504 10195816708 10448605552 10624212368 11141625308 11288225641 11395324556 11652361952 11677853264 12098385376 12407719093 12616252187 12807968096 12900829304 13023228064 13521724832 13837179818 14180250392 14366832634 14418573928 15813919792 16057048238 16419237296 16635279892 17610956132 18047591408 18350912272 18592371644 19011748448 19497844289 20126807008 20391633416 20897211104 21248424736 22283250616 22576451282 22790649112 23355706528 24815438186 25232504374 25801658608 27674359636 28360500784 28733665268 28837147856 30639469597 31627839584 32114096476 32838474592 33270559784 35221912264 36095182816 36701824544 37184743288 38995688578 40783266832 44566501232 45152902564 45581298224 48430129363 49630876372 50465008748 51603317216 55348719272 56721001568 57467330536 57674295712 61278939194 64228192952 66541119568 70443824528 74369486576 77991377156 79017579487 81566533664 88313765309 89133002464 90305805128 91162596448 96860258726 99261752744 100930017496 110697438544 114934661072 122557878388 128456385904 133082239136 136484910023 140887649056 148738973152 155982754312 158035158974 176627530618 180611610256 193720517452 198523505488 201860034992 214476287179 221394877088 229869322144 245115756776 256912771808 272969820046 311965508624 316070317948 353255061236 361223220512 387441034904 397047010976 403720069984 428952574358 490231513552 545939640092 623931017248 632140635896 706510122472 774882069808 857905148716 980463027104 1091879280184 1264281271792 1413020244944 1501334010253 1549764139616 1715810297432 2183758560368 2528562543584 2826040489888 3002668020506 3431620594864 4367517120736 6005336041012 6863241189728 12010672082024 24021344164048 48042688328096
- Sum of all divisors σ(n): 139610708165376
- Sum of proper divisors (its aliquot sum) s(n): 91568019837280
- 48042688328096 is an abundant number, because the sum of its proper divisors (91568019837280) is greater than itself. Its abundance is 43525331509184
Bases of 48042688328096
- Binary: 10101110110001110011110101111100110001101000002
- Hexadecimal: 0x2BB1CF5F31A0
- Base-36: H12I87DSW
Squares and roots of 48042688328096
- 48042688328096 squared (480426883280962) is 2308099901790571631742985216
- 48042688328096 cubed (480426883280963) is 110887324211833419623358525009247085428736
-
The
square root of 48042688328096 is 6931283.3103326545 -
The
cube root of 48042688328096 is 36353.1822533215
Scales and comparisons
How big is 48042688328096?- 48,042,688,328,096 seconds is equal to 1,527,608 years, 45 weeks, 6 days, 10 hours, 14 minutes, 56 seconds.
-
To count from 1 to 48,042,688,328,096 would take you about three million, eight hundred nineteen thousand and twenty-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 48042688328096 cubic inches would be around 3029.4 feet tall.
Recreational maths with 48042688328096
- 48042688328096 backwards is 69082388624084
- 48042688328096 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48042688328096's digits is 68
- More coming soon!
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The information we have on file for 48042688328096 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 48042688328096, math, Factors of 48042688328096, curriculum, school, college, exams, university, Prime factorization of 48042688328096, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, forty-two billion, six hundred eighty-eight million, three hundred twenty-eight thousand and ninety-six.