382144282804224

Names of 382144282804224

• Cardinal: 382144282804224 can be written as Three hundred eighty-two trillion, one hundred forty-four billion, two hundred eighty-two million, eight hundred four thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 3.82144282804224 × 10¹⁴

Factors of 382144282804224

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 270

Divisors of 382144282804224

• Number of divisors d(n): 1350
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 19 24 27 32 34 36 38 48 51 54 57 64 68 72 76 81 96 102 108 114 128 136 144 152 153 162 171 192 204 216 228 229 256 272 288 289 304 306 323 324 342 384 408 432 456 458 459 512 513 544 576 578 608 612 646 648 684 687 768 816 864 867 912 916 918 969 1024 1026 1088 1152 1156 1216 1224 1292 1296 1368 1374 1377 1536 1539 1632 1728 1734 1824 1832 1836 1938 2048 2052 2061 2176 2304 2312 2432 2448 2584 2592 2601 2736 2748 2754 2907 3072 3078 3264 3456 3468 3648 3664 3672 3876 3893 4096 4104 4122 4351 4352 4608 4624 4864 4896 5168 5184 5202 5472 5491 5496 5508 5814 6144 6156 6183 6528 6912 6936 7296 7328 7344 7752 7786 7803 8192 8208 8244 8702 8704 8721 9216 9248 9728 9792 10336 10368 10404 10944 10982 10992 11016 11628 11679 12288 12312 12366 13053 13056 13824 13872 14592 14656 14688 15504 15572 15606 16384 16416 16473 16488 17404 17408 17442 18432 18496 18549 19456 19584 20672 20736 20808 21888 21964 21984 22032 23256 23358 23409 24576 24624 24732 26106 26112 26163 27648 27744 29184 29312 29376 31008 31144 31212 32832 32946 32976 34808 34816 34884 35037 36864 36992 37098 38912 39159 39168 41344 41472 41616 43776 43928 43968 44064 46512 46716 46818 49152 49248 49419 49464 52212 52224 52326 52441 55296 55488 58368 58624 58752 62016 62288 62424 65664 65892 65952 66181 69616 69632 69768 70074 73728 73967 73984 74196 77824 78318 78336 82688 82944 83232 87552 87856 87936 88128 93024 93432 93636 98496 98838 98928 104424 104448 104652 104882 105111 110592 110976 116736 117248 117477 117504 124032 124576 124848 131328 131784 131904 132362 139232 139264 139536 140148 147456 147934 147968 148257 148392 155648 156636 156672 157323 165376 165888 166464 175104 175712 175872 176256 186048 186864 187272 196992 197676 197856 198543 208848 208896 209304 209764 210222 221184 221901 221952 233472 234496 234954 235008 248064 249152 249696 262656 263568 263808 264724 278464 278528 279072 280296 295868 295936 296514 296784 311296 313272 313344 314646 315333 330752 331776 332928 350208 351424 351744 352431 352512 372096 373728 374544 393984 395352 395712 397086 417696 417792 418608 419528 420444 442368 443802 443904 444771 466944 468992 469908 470016 471969 496128 498304 499392 525312 527136 527616 529448 556928 558144 560592 591736 591872 593028 593568 595629 626544 626688 629292 630666 661504 663552 665703 665856 700416 702848 703488 704862 705024 744192 747456 749088 787968 790704 791424 794172 835392 835584 837216 839056 840888 887604 887808 889542 891497 933888 937984 939816 940032 943938 992256 996379 996608 998784 1050624 1054272 1055232 1058896 1113856 1116288 1121184 1183472 1183744 1186056 1187136 1191258 1253088 1253376 1257439 1258584 1261332 1323008 1327104 1331406 1331712 1400832 1405696 1406976 1409724 1410048 1415907 1488384 1494912 1498176 1575936 1581408 1582848 1588344 1670784 1674432 1678112 1681776 1775208 1775616 1779084 1782994 1786887 1875968 1879632 1880064 1887876 1984512 1992758 1993216 1997109 1997568 2101248 2108544 2110464 2117792 2227712 2232576 2242368 2366944 2367488 2372112 2374272 2382516 2506176 2506752 2514878 2517168 2522664 2646016 2662812 2663424 2674491 2801664 2811392 2813952 2819448 2820096 2831814 2976768 2989137 2989824 2996352 3151872 3162816 3165696 3176688 3341568 3348864 3356224 3363552 3550416 3551232 3558168 3565988 3573774 3751936 3759264 3760128 3772317 3775752 3969024 3985516 3986432 3994218 3995136 4202496 4217088 4220928 4235584 4247721 4455424 4465152 4484736 4733888 4734976 4744224 4748544 4765032 5012352 5029756 5034336 5045328 5292032 5325624 5326848 5348982 5360661 5622784 5627904 5638896 5640192 5663628 5953536 5978274 5979648 5991327 5992704 6303744 6325632 6331392 6353376 6683136 6697728 6712448 6727104 7100832 7102464 7116336 7131976 7147548 7518528 7520256 7544634 7551504 7938048 7971032 7972864 7988436 7990272 8023473 8404992 8434176 8441856 8471168 8495442 8910848 8930304 8967411 8969472 9467776 9488448 9497088 9530064 10024704 10059512 10068672 10090656 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609924096 641581056 643808768 644395008 645653592 645801984 681679872 684669696 686164608 721778688 724284864 724944384 727461552 765219072 766889856 770253408 809680896 813045264 813232128 814820472 818394246 859193344 860871456 861069312 863860593 908906496 910891008 912892928 914675922 914886144 962371584 965713152 966592512 969948736 1020292096 1022519808 1027004544 1084060352 1084309504 1086427296 1087416576 1091192328 1147828608 1151814124 1155380112 1211875328 1214521344 1219567896 1219848192 1227591369 1287617536 1288790016 1291307184 1291603968 1363359744 1369339392 1372013883 1372329216 1443557376 1448569728 1449888768 1454923104 1530438144 1533779712 1540506816 1626090528 1626464256 1629640944 1636788492 1721742912 1722138624 1727721186 1817812992 1821782016 1825785856 1829351844 1829772288 1924743168 1931426304 1933185024 1939897472 2040584192 2045039616 2054009088 2168120704 2172854592 2174833152 2182384656 2295657216 2303628248 2310760224 2429042688 2439135792 2439696384 2455182738 2575235072 2577580032 2582614368 2583207936 2591581779 2726719488 2738678784 2744027766 2744658432 2887114752 2897139456 2899777536 2909846208 3060876288 3067559424 3081013632 3252181056 3252928512 3259281888 3273576984 3443485824 3455442372 3635625984 3643564032 3651571712 3658703688 3659544576 3862852608 3866370048 3879794944 4081168384 4090079232 4108018176 4336241408 4345709184 4349666304 4364769312 4591314432 4607256496 4621520448 4878271584 4879392768 4910365476 5150470144 5165228736 5166415872 5183163558 5453438976 5477357568 5488055532 5489316864 5774229504 5794278912 5799555072 5819692416 6121752576 6135118848 6162027264 6504362112 6518563776 6547153968 6886971648 6910884744 7287128064 7303143424 7317407376 7319089152 7725705216 7732740096 7759589888 7774745337 8162336768 8180158464 8216036352 8672482816 8691418368 8699332608 8729538624 9182628864 9214512992 9243040896 9756543168 9758785536 9820730952 10300940288 10330457472 10366327116 10906877952 10954715136 10976111064 10978633728 11588557824 11599110144 11639384832 12243505152 12270237696 12324054528 13008724224 13037127552 13094307936 13773943296 13821769488 14606286848 14634814752 14638178304 15451410432 15519179776 15549490674 16324673536 16360316928 16432072704 17344965632 17382836736 17398665216 17459077248 18365257728 18429025984 18486081792 19513086336 19641461904 20601880576 20660914944 20732654232 21909430272 21952222128 21957267456 23177115648 23198220288 23278769664 23324236011 24487010304 24540475392 24648109056 26017448448 26074255104 26188615872 27547886592 27643538976 29269629504 29276356608 30902820864 31038359552 31098981348 32720633856 32864145408 34689931264 34765673472 34797330432 34918154496 36730515456 36858051968 36972163584 39026172672 39282923808 41321829888 41465308464 43818860544 43904444256 43914534912 46354231296 46557539328 46648472022 48974020608 49080950784 49296218112 52034896896 52148510208 52377231744 55095773184 55287077952 58539259008 61805641728 62076719104 62197962696 65728290816 69379862528 69531346944 69594660864 69836308992 73461030912 73716103936 73944327168 78052345344 78565847616 82643659776 82930616928 87808888512 87829069824 92708462592 93115078656 93296944044 98161901568 98592436224 104069793792 104297020416 104754463488 110191546368 110574155904 117078518016 124153438208 124395925392 131456581632 138759725056 139062693888 139672617984 146922061824 147432207872 147888654336 156104690688 157131695232 165287319552 165861233856 175617777024 185416925184 186230157312 186593888088 197184872448 208139587584 208594040832 209508926976 220383092736 221148311808 234157036032 248306876416 248791850784 277519450112 278125387776 279345235968 294864415744 295777308672 312209381376 314263390464 330574639104 331722467712 351235554048 372460314624 373187776176 394369744896 416279175168 417188081664 419017853952 440766185472 442296623616 468314072064 497583701568 556250775552 558690471936 589728831488 591554617344 624418762752 628526780928 661149278208 663444935424 702471108096 744920629248 746375552352 832558350336 834376163328 838035707904 884593247232 936628144128 995167403136 1117380943872 1179457662976 1183109234688 1248837525504 1257053561856 1322298556416 1326889870848 1404942216192 1492751104704 1668752326656 1676071415808 1769186494464 1873256288256 1990334806272 2234761887744 2358915325952 2497675051008 2514107123712 2653779741696 2809884432384 2985502209408 3352142831616 3538372988928 3746512576512 3980669612544 4717830651904 5028214247424 5307559483392 5619768864768 5971004418816 6704285663232 7076745977856 7493025153024 7961339225088 10056428494848 10615118966784 11239537729536 11942008837632 14153491955712 15922678450176 20112856989696 21230237933568 22479075459072 23884017675264 31845356900352 42460475867136 47768035350528 63690713800704 95536070701056 127381427601408 191072141402112 382144282804224
• Sum of all divisors σ(n): 1282218345911580
• Sum of proper divisors (its aliquot sum) s(n): 900074063107356
• 382144282804224 is an abundant number, because the sum of its proper divisors (900074063107356) is greater than itself. Its abundance is 517929780303132

Bases of 382144282804224

• Binary: 1010110111000111011100110001110101100000000000000₂
• Hexadecimal: 0x15B8EE63AC000
• Base-36: 3RGINRB400

Squares and roots of 382144282804224

• 382144282804224 squared (382144282804224²) is 146034252879954730741112242176
• 382144282804224 cubed (382144282804224³) is 55806154831660983759694379043297889483751424
• The square root of 382144282804224 is 19548511.0124588261
• The cube root of 382144282804224 is 72567.5491125825

Scales and comparisons

• 382,144,282,804,224 seconds is equal to 12,151,006 years, 7 weeks, 3 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 382,144,282,804,224 would take you about thirty million, three hundred seventy-seven thousand, five hundred fifteen 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 382144282804224 cubic inches would be around 6047.3 feet tall.

Recreational maths with 382144282804224

• 382144282804224 backwards is 422408282441283
• 382144282804224 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 382144282804224's digits is 54
• More coming soon!