146428491448200
146,428,491,448,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 146428491448200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
146428491448200 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 146428491448200:
23 × 3 × 52 × 133 × 19 × 29 × 4492
(2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 13 × 19 × 29 × 449 × 449)See below for interesting mathematical facts about the number 146428491448200 from the Numbermatics database.
Names of 146428491448200
- Cardinal: 146428491448200 can be written as One hundred forty-six trillion, four hundred twenty-eight billion, four hundred ninety-one million, four hundred forty-eight thousand, two hundred.
Scientific notation
- Scientific notation: 1.464284914482 × 1014
Factors of 146428491448200
Divisors of 146428491448200
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 19 20 24 25 26 29 30 38 39 40 50 52 57 58 60 65 75 76 78 87 95 100 104 114 116 120 130 145 150 152 156 169 174 190 195 200 228 232 247 260 285 290 300 312 325 338 348 377 380 390 435 449 456 475 494 507 520 551 570 580 600 650 676 696 725 741 754 760 780 845 870 898 950 975 988 1014 1102 1131 1140 1160 1235 1300 1347 1352 1425 1450 1482 1508 1560 1653 1690 1740 1796 1885 1900 1950 1976 2028 2175 2197 2204 2245 2262 2280 2470 2535 2600 2694 2755 2850 2900 2964 3016 3211 3306 3380 3480 3592 3705 3770 3800 3900 4056 4225 4350 4394 4408 4490 4524 4901 4940 5070 5388 5510 5655 5700 5800 5837 5928 6175 6422 6591 6612 6735 6760 7163 7410 7540 7800 8265 8450 8531 8700 8788 8980 9048 9425 9633 9802 9880 10140 10776 10985 11020 11225 11310 11400 11674 12350 12675 12844 13021 13182 13224 13470 13775 14326 14703 14820 15080 16055 16530 16900 17062 17400 17511 17576 17960 18525 18850 19266 19604 20280 21489 21970 22040 22450 22620 23348 24505 24700 25350 25593 25688 26042 26364 26940 27550 28275 28652 29185 29406 29640 32110 32955 33060 33675 33800 34124 35022 35815 37050 37700 38532 39063 39208 41325 41743 42655 42978 43940 44900 45240 46696 48165 49010 49400 50700 51186 52084 52728 53880 54925 55100 56550 57304 58370 58812 63713 64220 65105 65910 66120 67350 68248 70044 71630 73515 74100 75400 75881 77064 78126 80275 82650 83486 85310 85956 87555 87880 89800 93119 96330 98020 101400 102372 104168 107445 109850 110200 110903 113100 116740 117624 122525 125229 127426 127965 128440 130210 131820 134700 140088 143260 145925 147030 148200 151762 156252 160550 164775 165300 166972 169273 170620 171912 175110 179075 186238 191139 192660 195315 196040 201601 204744 208715 213275 214890 219700 221806 226200 227643 233480 240825 245050 247399 250458 254852 255930 260420 263640 269400 279357 286520 291850 294060 303524 312504 318565 321100 325525 329550 330600 332709 333944 338546 341240 350220 358150 367575 372476 379405 382278 385320 390630 403202 417430 426550 429780 437775 439400 443612 455286 465595 481650 490100 494798 500916 507819 509704 511860 520840 537225 554515 558714 583700 588120 604803 607048 626145 637130 639825 642200 651050 659100 665418 677092 700440 716300 735150 742197 744952 758810 764556 781260 806404 834860 846365 853100 859560 875550 887224 910572 931190 955695 963300 976575 980200 986453 989596 1001832 1008005 1015638 1023720 1043575 1074450 1109030 1117428 1138215 1167400 1209606 1210547 1236995 1252290 1274260 1279650 1302100 1318200 1330836 1354184 1396785 1432600 1441739 1470300 1484394 1517620 1529112 1562520 1592825 1612808 1663545 1669720 1692730 1706200 1751100 1821144 1862380 1897025 1911390 1926600 1953150 1972906 1979192 2016010 2031276 2087150 2148900 2200549 2218060 2234856 2276430 2327975 2419212 2421094 2473990 2504580 2539095 2548520 2559300 2604200 2620813 2661672 2772575 2793570 2883478 2940600 2959359 2968788 3024015 3035240 3130725 3185650 3216187 3327090 3385460 3502200 3631641 3710985 3724760 3794050 3822780 3830419 3906300 3945812 4032020 4062552 4174300 4231825 4297800 4325217 4401098 4436120 4552860 4655950 4778475 4838424 4842188 4932265 4947980 5009160 5040025 5078190 5118600 5241626 5545150 5587140 5691075 5766956 5846429 5918718 5937576 6048030 6052735 6184975 6261450 6371300 6432374 6601647 6654180 6770920 6983925 7208695 7263282 7421970 7588100 7645560 7660838 7812600 7862439 7891624 8064040 8317725 8348600 8463650 8650434 8802196 9105720 9311900 9556950 9648561 9684376 9864530 9895960 10080050 10156380 10483252 11002745 11090300 11174280 11382150 11491257 11533912 11692858 11837436 12096060 12105470 12369950 12522900 12695475 12742600 12864748 13104065 13203294 13308360 13967850 14417390 14526564 14796795 14843940 15120075 15176200 15321676 15724878 16080935 16635450 16927300 17300868 17539287 17604392 18158205 18554925 18623800 18742607 19113900 19152095 19297122 19729060 20160100 20312760 20966504 21626085 22005490 22180600 22764300 22982514 23385716 23674872 24192120 24210940 24661325 24739900 25045800 25390950 25729496 26208130 26406588 27935700 28607137 28834780 29053128 29232145 29593590 29687880 30240150 30263675 30643352 31449756 32161870 33008235 33270900 33854600 34070569 34601736 35078574 36043475 36316410 37109850 37485214 38227800 38304190 38594244 39312195 39458120 40320200 41810431 43252170 44010980 45528600 45965028 46771432 48242805 48421880 49322650 49479800 49795447 50781900 52416260 52813176 55013725 55871400 56227821 57214274 57456285 57669560 58464290 59187180 60480300 60527350 62899512 64323740 65520325 66016470 66541800 68141138 70157148 72086950 72632820 73983975 74219700 74970428 76003577 76608380 77188488 78624390 80404675 83620862 85821411 86504340 87696435 88021960 90791025 91930056 93713035 95760475 96485610 98645300 99590894 101563800 102211707 104832520 108130425 110027450 111082151 112455642 114428548 114912570 116928580 118374360 120960600 121054700 125431293 128647480 131040650 132032940 136282276 140314296 143035685 144173900 145265640 146160725 147967950 148439400 149386341 149940856 152007154 153216760 157248780 160809350 165041175 167241724 170352845 171642822 173008680 175392870 181582050 187426070 191520950 192971220 196560975 197290600 199181788 204423414 209052155 216260850 220054900 222164302 224911284 228010731 228857096 229825140 233857160 241214025 242109400 248977235 250862586 262081300 264065880 272564552 281139105 286071370 287281425 288347800 292321450 295935900 298772682 304014308 314497560 321618700 330082350 333246453 334483448 340705690 343285644 350785740 363164100 374852140 380017885 383041900 385942440 393121950 398363576 408846828 418104310 429107055 432521700 438482175 440109800 442917397 444328604 449822568 456021462 459650280 468565175 482428050 497954470 501725172 511058535 524162600 543535603 555410755 562278210 572142740 574562850 584642900 591871800 597545364 608028616 627156465 643237400 647340811 660164700 666492906 681411380 686571288 701571480 715178425 726328200 746931705 749704280 760035770 766083800 786243900 817693656 836208620 851764225 858214110 865043400 876964350 885834794 888657208 912042924 937130350 964856100 988046501 995908940 1003450344 1022117070 1045260775 1087071206 1110821510 1124556420 1140053655 1144285480 1149125700 1169285800 1195090728 1244886175 1254312930 1294681622 1320329400 1328752191 1332985812 1362822760 1405695525 1430356850 1444067963 1493863410 1520071540 1572487800 1630606809 1666232265 1672417240 1703528450 1716428220 1753928700 1771669588 1824085848 1874260700 1900089425 1929712200 1942022433 1976093002 1991817880 2044234140 2090521550 2145535275 2174142412 2214586985 2221643020 2249112840 2280107310 2298251400 2489772350 2508625860 2555292675 2589363244 2657504382 2665971624 2717678015 2777053775 2811391050 2860713700 2888135926 2964139503 2987726820 3040143080 3135782325 3236704055 3261213618 3332464530 3407056900 3432856440 3507857400 3543339176 3734658525 3748521400 3800178850 3884044866 3952186004 4088468280 4181043100 4291070550 4332203889 4348284824 4429173970 4443286040 4560214620 4940232505 4979544700 5017251720 5110585350 5178726488 5315008764 5435356030 5554107550 5622782100 5700268275 5721427400 5776271852 5928279006 5975453640 6271564650 6473408110 6522427236 6643760955 6664929060 6814113800 7220339815 7469317050 7600357700 7768089732 7904372008 8153034045 8331161325 8362086200 8415430543 8582141100 8664407778 8858347940 9120429240 9710112165 9880465010 9959089400 10221170700 10630017528 10870712060 11072934925 11108215100 11245564200 11400536550 11552543704 11856558012 12543129300 12844604513 12946816220 13044854472 13287521910 13329858120 13588390075 14440679630 14820697515 14938634100 15200715400 15536179464 16183520275 16306068090 16662322650 16830861086 17164282200 17328815556 17716695880 18772883519 19420224330 19760930020 20442341400 21661019445 21741424120 22145869850 22216430200 22801073100 23713116024 24701162525 25086258600 25246291629 25689209026 25893632440 26575043820 27176780150 28881359260 29641395030 29877268200 32367040550 32612136180 33218804775 33324645300 33661722172 34657631112 36101699075 37545767038 38533813539 38840448660 39521860040 40765170225 42077152715 43322038890 44291739700 45602146200 48550560825 49402325050 50492583258 51378418052 53150087640 54353560300 56318650557 57762718520 59282790060 64223022565 64734081100 65224272360 66437609550 66649290600 67323444344 72203398150 74103487575 75091534076 77067627078 77680897320 81530340450 84154305430 86644077780 88583479400 93864417595 97101121650 98804650100 100985166516 102756836104 108305097225 108707120600 112637301114 118565580120 126231458145 128446045130 129468162200 132875219100 144406796300 148206975150 150183068152 154135254156 163060680900 168308610860 173288155560 187728835190 192669067695 194202243300 197609300200 201970333032 210385763575 216610194450 225274602228 244047485747 252462916290 256892090260 265750438200 281593252785 288813592600 296413950300 308270508312 321115112825 326121361800 336617221720 375457670380 385338135390 388404486600 420771527150 433220388900 450549204456 469322087975 488094971494 504925832580 513784180520 563186505570 592827900600 631157290725 642230225650 732142457241 750915340760 770676270780 841543054300 866440777800 938644175950 963345338475 976189942988 1009851665160 1126373011140 1220237428735 1262314581450 1284460451300 1407966263925 1464284914482 1541352541560 1683086108600 1877288351900 1926690676950 1952379885976 2252746022280 2440474857470 2524629162900 2568920902600 2815932527850 2928569828964 3660712286205 3754576703800 3853381353900 4880949714940 5049258325800 5631865055700 5857139657928 6101187143675 7321424572410 7706762707800 9761899429880 11263730111400 12202374287350 14642849144820 18303561431025 24404748574700 29285698289640 36607122862050 48809497149400 73214245724100 146428491448200
- Sum of all divisors σ(n): 536663620080000
- Sum of proper divisors (its aliquot sum) s(n): 390235128631800
- 146428491448200 is an abundant number, because the sum of its proper divisors (390235128631800) is greater than itself. Its abundance is 243806637183600
Bases of 146428491448200
- Binary: 1000010100101101000010100011011110111111100010002
- Hexadecimal: 0x852D0A37BF88
- Base-36: 1FWKBJ4X3C
Squares and roots of 146428491448200
- 146428491448200 squared (1464284914482002) is 21441303107795580533283240000
- 146428491448200 cubed (1464284914482003) is 3139617668758109246871619303808388168000000
-
The
square root of 146428491448200 is 12100764.0853046963 -
The
cube root of 146428491448200 is 52707.8372246429
Scales and comparisons
How big is 146428491448200?- 146,428,491,448,200 seconds is equal to 4,655,973 years, 4 weeks, 6 days, 13 hours, 50 minutes.
-
To count from 1 to 146,428,491,448,200 would take you about eleven million, six hundred thirty-nine thousand, nine 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 146428491448200 cubic inches would be around 4392.3 feet tall.
Recreational maths with 146428491448200
- 146428491448200 backwards is 002844194824641
- 146428491448200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 146428491448200's digits is 57
- More coming soon!
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The information we have on file for 146428491448200 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 146428491448200, math, Factors of 146428491448200, curriculum, school, college, exams, university, Prime factorization of 146428491448200, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-six trillion, four hundred twenty-eight billion, four hundred ninety-one million, four hundred forty-eight thousand, two hundred.