148401538379366400
148,401,538,379,366,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 148401538379366400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
148401538379366400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 148401538379366400:
214 × 32 × 52 × 31 × 10913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 1091 × 1091 × 1091)See below for interesting mathematical facts about the number 148401538379366400 from the Numbermatics database.
Names of 148401538379366400
- Cardinal: 148401538379366400 can be written as One hundred forty-eight quadrillion, four hundred one trillion, five hundred thirty-eight billion, three hundred seventy-nine million, three hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.484015383793664 × 1017
Factors of 148401538379366400
Divisors of 148401538379366400
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 128 144 150 155 160 180 186 192 200 225 240 248 256 279 288 300 310 320 360 372 384 400 450 465 480 496 512 558 576 600 620 640 720 744 768 775 800 900 930 960 992 1024 1091 1116 1152 1200 1240 1280 1395 1440 1488 1536 1550 1600 1800 1860 1920 1984 2048 2182 2232 2304 2325 2400 2480 2560 2790 2880 2976 3072 3100 3200 3273 3600 3720 3840 3968 4096 4364 4464 4608 4650 4800 4960 5120 5455 5580 5760 5952 6144 6200 6400 6546 6975 7200 7440 7680 7936 8192 8728 8928 9216 9300 9600 9819 9920 10240 10910 11160 11520 11904 12288 12400 12800 13092 13950 14400 14880 15360 15872 16365 16384 17456 17856 18432 18600 19200 19638 19840 20480 21820 22320 23040 23808 24576 24800 25600 26184 27275 27900 28800 29760 30720 31744 32730 33821 34912 35712 36864 37200 38400 39276 39680 40960 43640 44640 46080 47616 49095 49152 49600 51200 52368 54550 55800 57600 59520 61440 63488 65460 67642 69824 71424 73728 74400 76800 78552 79360 81825 81920 87280 89280 92160 95232 98190 99200 101463 102400 104736 109100 111600 115200 119040 122880 126976 130920 135284 139648 142848 147456 148800 153600 157104 158720 163650 169105 174560 178560 184320 190464 196380 198400 202926 204800 209472 218200 223200 230400 238080 245475 245760 253952 261840 270568 279296 285696 297600 304389 307200 314208 317440 327300 338210 349120 357120 368640 380928 392760 396800 405852 409600 418944 436400 446400 460800 476160 490950 507315 507904 523680 541136 558592 571392 595200 608778 614400 628416 634880 654600 676420 698240 714240 737280 761856 785520 793600 811704 837888 845525 872800 892800 921600 952320 981900 1014630 1047360 1082272 1117184 1142784 1190281 1190400 1217556 1228800 1256832 1269760 1309200 1352840 1396480 1428480 1521945 1523712 1571040 1587200 1623408 1675776 1691050 1745600 1785600 1843200 1904640 1963800 2029260 2094720 2164544 2234368 2285568 2380562 2380800 2435112 2513664 2536575 2539520 2618400 2705680 2792960 2856960 3043890 3142080 3174400 3246816 3351552 3382100 3491200 3570843 3571200 3686400 3809280 3927600 4058520 4189440 4329088 4468736 4571136 4761124 4761600 4870224 5027328 5073150 5236800 5411360 5585920 5713920 5951405 6087780 6284160 6348800 6493632 6703104 6764200 6982400 7141686 7142400 7609725 7618560 7855200 8117040 8378880 8658176 8937472 9522248 9523200 9740448 10054656 10146300 10473600 10712529 10822720 11171840 11427840 11902810 12175560 12568320 12697600 12987264 13406208 13528400 13964800 14283372 14284800 15219450 15710400 16234080 16757760 17316352 17854215 17874944 19044496 19046400 19480896 20109312 20292600 20947200 21425058 21645440 22343680 22855680 23805620 24351120 25136640 25974528 26812416 27056800 27929600 28566744 28569600 29757025 30438900 31420800 32468160 33515520 34632704 35708430 36898711 38088992 38092800 38961792 40218624 40585200 41894400 42850116 43290880 44687360 47611240 48702240 50273280 51949056 53562645 53624832 54113600 55859200 57133488 57139200 59514050 60877800 62841600 64936320 67031040 69265408 71416860 73797422 76177984 77923584 80437248 81170400 83788800 85700232 86581760 89271075 89374720 95222480 97404480 100546560 103898112 107125290 108227200 110696133 111718400 114266976 114278400 119028100 121755600 125683200 129872640 134062080 138530816 142833720 147594844 152355968 155847168 160874496 162340800 167577600 171400464 173163520 178542150 184493555 190444960 194808960 201093120 207796224 214250580 216454400 221392266 223436800 228533952 238056200 243511200 251366400 259745280 267813225 268124160 277061632 285667440 295189688 304711936 311694336 324681600 332088399 335155200 342800928 346327040 357084300 368987110 380889920 389617920 402186240 415592448 428501160 432908800 442784532 446873600 457067904 476112400 487022400 502732800 519490560 535626450 553480665 554123264 571334880 590379376 609423872 623388672 649363200 664176798 670310400 685601856 692654080 714168600 737974220 761779840 779235840 804372480 831184896 857002320 865817600 885569064 914135808 922467775 952224800 974044800 1005465600 1038981120 1071252900 1106961330 1142669760 1180758752 1218847744 1246777344 1298596571 1298726400 1328353596 1340620800 1371203712 1385308160 1428337200 1475948440 1523559680 1558471680 1660441995 1662369792 1714004640 1731635200 1771138128 1828271616 1844935550 1904449600 1948089600 2010931200 2077962240 2142505800 2213922660 2285339520 2361517504 2437695488 2493554688 2597193142 2597452800 2656707192 2742407424 2767403325 2770616320 2856674400 2951896880 3047119360 3116943360 3320883990 3428009280 3463270400 3542276256 3656543232 3689871100 3808899200 3895789713 3896179200 4021862400 4155924480 4285011600 4427845320 4570679040 4723035008 4875390976 4987109376 5194386284 5194905600 5313414384 5484814848 5534806650 5713348800 5903793760 6094238720 6233886720 6492982855 6641767980 6856018560 6926540800 7084552512 7313086464 7379742200 7617798400 7791579426 7792358400 8302209975 8311848960 8570023200 8855690640 9141358080 9446070016 9750781952 10388772568 10389811200 10626828768 10969629696 11069613300 11426697600 11687369139 11807587520 12188477440 12467773440 12985965710 13283535960 13712037120 13853081600 14169105024 14626172928 14759484400 15235596800 15583158852 15584716800 16604419950 17140046400 17711381280 18282716160 18892140032 19478948565 19501563904 20777545136 20779622400 21253657536 21939259392 22139226600 22853395200 23374738278 23615175040 24376954880 24935546880 25971931420 26567071920 27424074240 28338210048 29252345856 29518968800 30471193600 31166317704 31169433600 32464914275 33208839900 34280092800 35422762560 36565432320 37784280064 38957897130 40256493701 41555090272 41559244800 42507315072 43878518784 44278453200 45706790400 46749476556 47230350080 48753909760 51943862840 53134143840 54848148480 56676420096 58436845695 58504691712 59037937600 60942387200 62332635408 62338867200 64929828550 66417679800 68560185600 70845525120 73130864640 75568560128 77915794260 80512987402 83110180544 85014630144 87757037568 88556906400 91413580800 93498953112 94460700160 97394742825 97507819520 103887725680 106268287680 109696296960 113352840192 116873691390 118075875200 120769481103 121884774400 124665270816 124677734400 129859657100 132835359600 137120371200 141691050240 146261729280 151137120256 155831588520 161025974804 166220361088 170029260288 175514075136 177113812800 182827161600 186997906224 188921400320 194789485650 201282468505 207775451360 212536575360 219392593920 226705680384 233747382780 236151750400 241538962206 243769548800 249330541632 259719314200 265670719200 274240742400 283382100480 292184228475 292523458560 302274240512 311663177040 322051949608 332440722176 340058520576 354227625600 362308443309 365654323200 373995812448 377842800640 389578971300 402564937010 415550902720 425073150720 438785187840 453411360768 467494765560 472303500800 483077924412 487539097600 498661083264 519438628400 531341438400 548481484800 566764200960 584368456950 603847405515 604548481024 623326354080 644103899216 664881444352 680117041152 708455251200 724616886618 731308646400 747991624896 755685601280 779157942600 805129874020 831101805440 850146301440 877570375680 906822721536 934989531120 944607001600 966155848824 997322166528 1006412342525 1038877256800 1062682876800 1096962969600 1133528401920 1168736913900 1207694811030 1246652708160 1288207798432 1329762888704 1360234082304 1416910502400 1449233773236 1462617292800 1495983249792 1511371202560 1558315885200 1610259748040 1662203610880 1700292602880 1811542216545 1813645443072 1869979062240 1889214003200 1932311697648 1994644333056 2012824685050 2077754513600 2125365753600 2193925939200 2267056803840 2337473827800 2415389622060 2493305416320 2576415596864 2659525777408 2720468164608 2833821004800 2898467546472 2991966499584 3019237027575 3022742405120 3116631770400 3220519496080 3324407221760 3400585205760 3623084433090 3739958124480 3778428006400 3864623395296 3989288666112 4025649370100 4155509027200 4250731507200 4387851878400 4534113607680 4674947655600 4830779244120 4986610832640 5152831193728 5319051554816 5440936329216 5667642009600 5796935092944 5983932999168 6038474055150 6233263540800 6441038992160 6648814443520 6801170411520 7246168866180 7479916248960 7556856012800 7729246790592 7978577332224 8051298740200 8311018054400 8501463014400 9057711082725 9068227215360 9349895311200 9661558488240 9973221665280 10305662387456 10638103109632 11335284019200 11593870185888 11967865998336 12076948110300 12466527081600 12882077984320 13297628887040 13602340823040 14492337732360 14959832497920 15113712025600 15458493581184 15957154664448 16102597480400 16622036108800 17002926028800 18115422165450 18699790622400 19323116976480 19946443330560 20611324774912 21276206219264 22670568038400 23187740371776 23935731996672 24153896220600 24933054163200 25764155968640 26595257774080 27204681646080 28984675464720 29919664995840 30916987162368 31914309328896 32205194960800 33244072217600 34005852057600 36230844330900 37399581244800 38646233952960 39892886661120 41222649549824 45341136076800 46375480743552 47871463993344 48307792441200 49866108326400 51528311937280 53190515548160 57969350929440 59839329991680 61833974324736 63828618657792 64410389921600 66488144435200 68011704115200 72461688661800 74799162489600 77292467905920 79785773322240 82445299099648 92750961487104 95742927986688 96615584882400 99732216652800 103056623874560 106381031096320 115938701858880 119678659983360 123667948649472 128820779843200 132976288870400 136023408230400 144923377323600 149598324979200 154584935811840 159571546644480 164890598199296 185501922974208 191485855973376 193231169764800 199464433305600 206113247749120 231877403717760 239357319966720 247335897298944 257641559686400 265952577740800 289846754647200 299196649958400 309169871623680 319143093288960 329781196398592 371003845948416 386462339529600 398928866611200 412226495498240 463754807435520 478714639933440 494671794597888 515283119372800 531905155481600 579693509294400 598393299916800 618339743247360 659562392797184 742007691896832 772924679059200 797857733222400 824452990996480 927509614871040 957429279866880 989343589195776 1030566238745600 1159387018588800 1196786599833600 1236679486494720 1484015383793664 1545849358118400 1595715466444800 1648905981992960 1855019229742080 1978687178391552 2061132477491200 2318774037177600 2393573199667200 2473358972989440 2968030767587328 3091698716236800 3297811963985920 3710038459484160 4122264954982400 4637548074355200 4787146399334400 4946717945978880 5936061535174656 6183397432473600 7420076918968320 8244529909964800 9275096148710400 9893435891957760 12366794864947200 14840153837936640 16489059819929600 18550192297420800 24733589729894400 29680307675873280 37100384594841600 49467179459788800 74200769189683200 148401538379366400
- Sum of all divisors σ(n): 549242594531275008
- Sum of proper divisors (its aliquot sum) s(n): 400841056151908608
- 148401538379366400 is an abundant number, because the sum of its proper divisors (400841056151908608) is greater than itself. Its abundance is 252439517772542208
Bases of 148401538379366400
- Binary: 10000011110011101001101001101100110011100101000000000000002
- Hexadecimal: 0x20F3A69B3394000
- Base-36: 14L7YDKGWE80
Squares and roots of 148401538379366400
- 148401538379366400 squared (1484015383793664002) is 22023016593362558594965265448960000
- 148401538379366400 cubed (1484015383793664003) is 3268249542209316809272182198164955378896338944000000
-
The
square root of 148401538379366400 is 385229202.3969190217 -
The
cube root of 148401538379366400 is 529435.1860995733
Scales and comparisons
How big is 148401538379366400?- 148,401,538,379,366,400 seconds is equal to 4,718,709,884 years, 19 weeks, 8 hours.
-
To count from 1 to 148,401,538,379,366,400 would take you about fourteen billion, one hundred fifty-six million, one hundred twenty-nine thousand, six hundred fifty-three 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 148401538379366400 cubic inches would be around 44119.6 feet tall.
Recreational maths with 148401538379366400
- 148401538379366400 backwards is 004663973835104841
- 148401538379366400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 148401538379366400's digits is 72
- More coming soon!
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"Number 148401538379366400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 148401538379366400 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/148401538379366400/
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The information we have on file for 148401538379366400 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 148401538379366400, math, Factors of 148401538379366400, curriculum, school, college, exams, university, Prime factorization of 148401538379366400, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-eight quadrillion, four hundred one trillion, five hundred thirty-eight billion, three hundred seventy-nine million, three hundred sixty-six thousand, four hundred.