144136649940172800

Names of 144136649940172800

• Cardinal: 144136649940172800 can be written as One hundred forty-four quadrillion, one hundred thirty-six trillion, six hundred forty-nine billion, nine hundred forty million, one hundred seventy-two thousand, eight hundred.

Scientific notation

• Scientific notation: 1.441366499401728 × 10¹⁷

Factors of 144136649940172800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 942835

Divisors of 144136649940172800

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 100 120 124 128 150 155 160 186 192 200 240 248 256 300 310 320 372 384 400 465 480 496 512 600 620 640 744 768 775 800 930 960 992 1024 1200 1240 1280 1488 1536 1550 1600 1860 1920 1984 2011 2048 2325 2400 2480 2560 2976 3072 3100 3200 3720 3840 3968 4022 4096 4650 4800 4960 5120 5952 6033 6144 6200 6400 7440 7680 7936 8044 8192 9300 9600 9920 10055 10240 11904 12066 12288 12400 12800 14880 15360 15872 16088 16384 18600 19200 19840 20110 20480 23808 24132 24576 24800 25600 29760 30165 30720 31744 32176 32768 37200 38400 39680 40220 40960 47616 48264 49152 49600 50275 51200 59520 60330 61440 62341 63488 64352 74400 76800 79360 80440 81920 95232 96528 98304 99200 100550 102400 119040 120660 122880 124682 126976 128704 148800 150825 153600 158720 160880 163840 187023 190464 193056 198400 201100 204800 238080 241320 245760 249364 253952 257408 297600 301650 307200 311705 317440 321760 374046 380928 386112 396800 402200 409600 476160 482640 491520 498728 507904 514816 595200 603300 614400 623410 634880 643520 748092 761856 772224 793600 804400 819200 935115 940783 952320 965280 997456 1015808 1029632 1190400 1206600 1228800 1246820 1269760 1287040 1496184 1523712 1544448 1558525 1587200 1608800 1870230 1881566 1904640 1930560 1994912 2059264 2380800 2413200 2457600 2493640 2539520 2574080 2822349 2992368 3047424 3088896 3117050 3174400 3217600 3740460 3763132 3809280 3861120 3989824 4118528 4675575 4703915 4761600 4826400 4987280 5079040 5148160 5644698 5984736 6177792 6234100 6348800 6435200 7480920 7526264 7618560 7722240 7979648 8237056 9351150 9407830 9523200 9652800 9974560 10296320 11289396 11969472 12355584 12468200 12697600 12870400 14111745 14961840 15052528 15237120 15444480 15959296 16474112 18702300 18815660 19046400 19305600 19949120 20592640 22578792 23519575 23938944 24711168 24936400 25395200 25740800 28223490 29164273 29923680 30105056 30888960 31918592 32948224 37404600 37631320 38092800 38611200 39898240 41185280 45157584 47039150 47877888 49422336 49872800 51481600 56446980 58328546 59847360 60210112 61777920 63837184 65896448 70558725 74809200 75262640 76185600 77222400 79796480 82370560 87492819 90315168 94078300 95755776 98844672 99745600 102963200 112893960 116657092 119694720 120420224 123555840 127674368 141117450 145821365 149618400 150525280 154444800 159592960 164741120 174985638 180630336 188156600 191511552 197689344 199491200 205926400 225787920 233314184 239389440 240840448 247111680 255348736 282234900 291642730 299236800 301050560 308889600 319185920 329482240 349971276 361260672 376313200 383023104 398982400 411852800 437464095 451575840 466628368 478778880 481680896 494223360 510697472 564469800 583285460 598473600 602101120 617779200 638371840 699942552 722521344 729106825 752626400 766046208 797964800 823705600 874928190 903151680 933256736 957557760 963361792 988446720 1021394944 1128939600 1166570920 1196947200 1204202240 1235558400 1276743680 1399885104 1445042688 1458213650 1505252800 1532092416 1595929600 1647411200 1749856380 1806303360 1866513472 1891914613 1915115520 1926723584 2042789888 2187320475 2257879200 2333141840 2393894400 2408404480 2471116800 2553487360 2799770208 2890085376 2916427300 3010505600 3064184832 3191859200 3499712760 3612606720 3733026944 3783829226 3830231040 3853447168 4374640950 4515758400 4666283680 4787788800 4816808960 4942233600 5106974720 5599540416 5675743839 5780170752 5832854600 6021011200 6128369664 6383718400 6999425520 7225213440 7466053888 7567658452 7660462080 7706894336 8749281900 9031516800 9332567360 9459573065 9575577600 9633617920 10213949440 11199080832 11351487678 11560341504 11665709200 12042022400 12767436800 13998851040 14450426880 14932107776 15135316904 15320924160 15413788672 17498563800 18063033600 18665134720 18919146130 19151155200 19267235840 22398161664 22702975356 23120683008 23331418400 24084044800 25534873600 27997702080 28378719195 28900853760 29864215552 30270633808 30641848320 30827577344 34997127600 36126067200 37330269440 37838292260 38302310400 38534471680 44796323328 45405950712 46241366016 46662836800 47297865325 48168089600 51069747200 55995404160 56757438390 57801707520 58649353003 59728431104 60541267616 69994255200 72252134400 74660538880 75676584520 76604620800 77068943360 89592646656 90811901424 92482732032 93325673600 94595730650 96336179200 111990808320 113514876780 115603415040 117298706006 119456862208 121082535232 139988510400 141893595975 144504268800 149321077760 151353169040 153209241600 154137886720 175948059009 179185293312 181623802848 186651347200 189191461300 192672358400 223981616640 227029753560 231206830080 234597412012 238913724416 242165070464 279977020800 283787191950 289008537600 293246765015 298642155520 302706338080 351896118018 358370586624 363247605696 373302694400 378382922600 385344716800 447963233280 454059507120 462413660160 469194824024 477827448832 484330140928 559954041600 567574383900 578017075200 586493530030 597284311040 605412676160 703792236036 716741173248 726495211392 746605388800 756765845200 770689433600 879740295045 895926466560 908119014240 938389648048 955654897664 968660281856 1119908083200 1135148767800 1156034150400 1172987060060 1194568622080 1210825352320 1407584472072 1433482346496 1452990422784 1466233825075 1493210777600 1513531690400 1759480590090 1791852933120 1816238028480 1876779296096 1937320563712 2239816166400 2270297535600 2312068300800 2345974120120 2389137244160 2421650704640 2815168944144 2866964692992 2905980845568 2932467650150 2986421555200 3027063380800 3518961180180 3583705866240 3632476056960 3753558592192 3874641127424 4398701475225 4479632332800 4540595071200 4691948240240 4778274488320 4843301409280 5630337888288 5811961691136 5864935300300 5972843110400 6054126761600 7037922360360 7167411732480 7264952113920 7507117184384 7749282254848 8797402950450 8959264665600 9081190142400 9383896480480 9686602818560 11260675776576 11623923382272 11729870600600 11945686220800 12108253523200 14075844720720 14334823464960 14529904227840 15014234368768 15498564509696 17594805900900 17918529331200 18162380284800 18767792960960 19373205637120 22521351553152 23247846764544 23459741201200 23891372441600 24216507046400 28151689441440 29059808455680 30028468737536 30997129019392 35189611801800 35837058662400 36324760569600 37535585921920 38746411274240 45042703106304 46495693529088 46919482402400 48433014092800 56303378882880 58119616911360 60056937475072 61994258038784 70379223603600 71674117324800 72649521139200 75071171843840 77492822548480 90085406212608 92991387058176 93838964804800 96866028185600 112606757765760 116239233822720 120113874950144 140758447207200 145299042278400 150142343687680 154985645096960 180170812425216 185982774116352 187677929609600 193732056371200 225213515531520 232478467645440 240227749900288 281516894414400 290598084556800 300284687375360 309971290193920 360341624850432 375355859219200 387464112742400 450427031063040 464956935290880 480455499800576 563033788828800 581196169113600 600569374750720 720683249700864 750711718438400 774928225484800 900854062126080 929913870581760 960910999601152 1126067577657600 1162392338227200 1201138749501440 1441366499401728 1501423436876800 1549856450969600 1801708124252160 1921821999202304 2252135155315200 2324784676454400 2402277499002880 2882732998803456 3002846873753600 3603416248504320 4504270310630400 4649569352908800 4804554998005760 5765465997606912 6005693747507200 7206832497008640 9008540621260800 9609109996011520 12011387495014400 14413664994017280 18017081242521600 24022774990028800 28827329988034560 36034162485043200 48045549980057600 72068324970086400 144136649940172800
• Sum of all divisors σ(n): 492224091805655040
• Sum of proper divisors (its aliquot sum) s(n): 348087441865482240
• 144136649940172800 is an abundant number, because the sum of its proper divisors (348087441865482240) is greater than itself. Its abundance is 203950791925309440

Bases of 144136649940172800

• Binary: 1000000000000100111000010011111010110011001000000000000000₂
• Hexadecimal: 0x2001384FACC8000
• Base-36: 13F86EV8CYYO

Squares and roots of 144136649940172800

• 144136649940172800 squared (144136649940172800²) is 20775373855975915629819293859840000
• 144136649940172800 cubed (144136649940172800³) is 2994492788855018512808550822754582278388580352000000
• The square root of 144136649940172800 is 379653328.6304399043
• The cube root of 144136649940172800 is 524314.0246440141

Scales and comparisons

• 144,136,649,940,172,800 seconds is equal to 4,583,099,624 years, 8 weeks, 4 days, 10 hours, 40 minutes.
• To count from 1 to 144,136,649,940,172,800 would take you about thirteen billion, seven hundred forty-nine million, two hundred ninety-eight thousand, eight hundred seventy-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 144136649940172800 cubic inches would be around 43692.8 feet tall.

Recreational maths with 144136649940172800

• 144136649940172800 backwards is 008271049946631441
• The number of decimal digits it has is: 18
• The sum of 144136649940172800's digits is 69
• More coming soon!