468021720121344

Names of 468021720121344

• Cardinal: 468021720121344 can be written as Four hundred sixty-eight trillion, twenty-one billion, seven hundred twenty million, one hundred twenty-one thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 4.68021720121344 × 10¹⁴

Factors of 468021720121344

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 144

Divisors of 468021720121344

• Number of divisors d(n): 1320
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 47 48 54 61 62 64 72 81 93 94 96 108 122 124 128 141 144 162 183 186 188 192 216 244 248 256 279 282 288 324 366 372 376 384 423 432 488 496 512 549 558 564 576 648 732 744 752 768 837 846 864 961 976 992 1024 1098 1116 1128 1152 1269 1296 1457 1464 1488 1504 1536 1647 1674 1692 1728 1891 1922 1952 1984 2048 2196 2232 2256 2304 2511 2538 2592 2867 2883 2914 2928 2976 3008 3072 3294 3348 3384 3456 3782 3807 3844 3904 3968 4096 4371 4392 4464 4512 4608 4941 5022 5076 5184 5673 5734 5766 5828 5856 5952 6016 6144 6588 6696 6768 6912 7564 7614 7688 7808 7936 8192 8601 8649 8742 8784 8928 9024 9216 9882 10044 10152 10368 11346 11468 11532 11656 11712 11904 12032 12288 13113 13176 13392 13536 13824 15128 15228 15376 15616 15872 16384 17019 17202 17298 17484 17568 17856 18048 18432 19764 20088 20304 20736 22692 22936 23064 23312 23424 23808 24064 24576 25803 25947 26226 26352 26784 27072 27648 30256 30456 30752 31232 31744 32768 34038 34404 34596 34968 35136 35712 36096 36864 39339 39528 40176 40608 41472 45167 45384 45872 46128 46624 46848 47616 48128 49152 51057 51606 51894 52452 52704 53568 54144 55296 58621 60512 60912 61504 62464 63488 65536 68076 68808 69192 69936 70272 71424 72192 73728 77409 77841 78678 79056 80352 81216 82944 88877 90334 90768 91744 92256 93248 93696 95232 96256 98304 102114 103212 103788 104904 105408 107136 108288 110592 117242 118017 121024 121824 123008 124928 126976 131072 135501 136152 137616 138384 139872 140544 142848 144384 147456 153171 154818 155682 157356 158112 160704 162432 165888 175863 177754 180668 181536 183488 184512 186496 187392 190464 192512 196608 204228 206424 207576 209808 210816 214272 216576 221184 232227 234484 236034 242048 243648 246016 249856 253952 262144 266631 271002 272304 275232 276768 279744 281088 285696 288768 294912 306342 309636 311364 314712 316224 321408 324864 331776 351726 355508 361336 363072 366976 369024 372992 374784 380928 385024 393216 406503 408456 412848 415152 419616 421632 428544 433152 442368 464454 468968 472068 484096 487296 492032 499712 507904 524288 527589 533262 542004 544608 550464 553536 559488 562176 571392 577536 589824 612684 619272 622728 629424 632448 642816 649728 663552 703452 711016 722672 726144 733952 738048 745984 749568 761856 770048 786432 799893 813006 816912 825696 830304 839232 843264 857088 866304 884736 928908 937936 944136 968192 974592 984064 999424 1015808 1048576 1055178 1066524 1084008 1089216 1100928 1107072 1118976 1124352 1142784 1155072 1179648 1219509 1225368 1238544 1245456 1258848 1264896 1285632 1299456 1327104 1406904 1422032 1445344 1452288 1467904 1476096 1491968 1499136 1523712 1540096 1572864 1582767 1599786 1626012 1633824 1651392 1660608 1678464 1686528 1714176 1732608 1769472 1857816 1875872 1888272 1936384 1949184 1968128 1998848 2031616 2097152 2110356 2133048 2168016 2178432 2201856 2214144 2237952 2248704 2285568 2310144 2359296 2399679 2439018 2450736 2477088 2490912 2517696 2529792 2571264 2598912 2654208 2755187 2813808 2844064 2890688 2904576 2935808 2952192 2983936 2998272 3047424 3080192 3145728 3165534 3199572 3252024 3267648 3302784 3321216 3356928 3373056 3428352 3465216 3538944 3658527 3715632 3751744 3776544 3872768 3898368 3936256 3997696 4063232 4220712 4266096 4336032 4356864 4403712 4428288 4475904 4497408 4571136 4620288 4718592 4748301 4799358 4878036 4901472 4954176 4981824 5035392 5059584 5142528 5197824 5308416 5510374 5627616 5688128 5781376 5809152 5871616 5904384 5967872 5996544 6094848 6160384 6291456 6331068 6399144 6504048 6535296 6605568 6642432 6713856 6746112 6856704 6930432 7077888 7199037 7317054 7431264 7503488 7553088 7745536 7796736 7872512 7995392 8126464 8265561 8441424 8532192 8672064 8713728 8807424 8856576 8951808 8994816 9142272 9240576 9437184 9496602 9598716 9756072 9802944 9908352 9963648 10070784 10119168 10285056 10395648 10616832 11020748 11255232 11376256 11562752 11618304 11743232 11808768 11935744 11993088 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2912321536 2960064512 2974285824 3006267392 3023044608 3055550464 3173975424 3241506816 3276361728 3330072576 3346071552 3382050816 3400925184 3437494272 3454009344 3570722352 3685906944 3746331648 3804807168 3841785856 3867181056 3965714432 3991928832 4231967232 4322009088 4368482304 4440096768 4461428736 4509401088 4534566912 4583325696 4760963136 4862260224 4914542592 4995108864 5019107328 5073076224 5101387776 5156241408 5181014016 5265948672 5642622976 5762678784 5824643072 5920129024 5948571648 6012534784 6046089216 6347950848 6483013632 6552723456 6660145152 6692143104 6764101632 6801850368 6874988544 7141444704 7371813888 7492663296 7609614336 7683571712 7734362112 7983857664 8463934464 8644018176 8736964608 8880193536 8922857472 9018802176 9069133824 9166651392 9521926272 9724520448 9829085184 9990217728 10038214656 10146152448 10202775552 10312482816 10362028032 11285245952 11525357568 11649286144 11840258048 11897143296 12695901696 12966027264 13105446912 13320290304 13384286208 13528203264 13603700736 13749977088 14282889408 14743627776 14985326592 15219228672 15367143424 15468724224 16927868928 17288036352 17473929216 17760387072 17845714944 18037604352 18138267648 19043852544 19449040896 19658170368 19980435456 20076429312 20292304896 20405551104 20624965632 22570491904 23050715136 23298572288 23680516096 25391803392 25932054528 26210893824 26640580608 26768572416 27056406528 27207401472 27499954176 28565778816 29487255552 29970653184 30438457344 30734286848 30937448448 33855737856 34576072704 34947858432 35520774144 35691429888 38087705088 38898081792 39316340736 39960870912 40152858624 40584609792 40811102208 41249931264 45140983808 46101430272 46597144576 47361032192 50783606784 51864109056 52421787648 53281161216 53537144832 54112813056 54414802944 57131557632 58974511104 59941306368 60876914688 61468573696 61874896896 67711475712 69152145408 69895716864 71041548288 76175410176 77796163584 78632681472 79921741824 80305717248 81169219584 81622204416 82499862528 90281967616 92202860544 93194289152 94722064384 101567213568 103728218112 104843575296 106562322432 107074289664 114263115264 117949022208 119882612736 121753829376 122937147392 123749793792 135422951424 138304290816 139791433728 142083096576 152350820352 155592327168 157265362944 159843483648 160611434496 162338439168 163244408832 180563935232 184405721088 186388578304 203134427136 207456436224 209687150592 213124644864 228526230528 235898044416 239765225472 243507658752 247499587584 270845902848 276608581632 279582867456 284166193152 304701640704 311184654336 314530725888 319686967296 321222868992 361127870464 368811442176 406268854272 414912872448 419374301184 426249289728 457052461056 471796088832 479530450944 487015317504 541691805696 553217163264 559165734912 609403281408 622369308672 629061451776 639373934592 722255740928 812537708544 829825744896 838748602368 852498579456 914104922112 943592177664 959060901888 1083383611392 1106434326528 1218806562816 1244738617344 1258122903552 1278747869184 1444511481856 1625075417088 1659651489792 1677497204736 1828209844224 1887184355328 1918121803776 2166767222784 2437613125632 2489477234688 2516245807104 2557495738368 2889022963712 3250150834176 3319302979584 3656419688448 3774368710656 3836243607552 4333534445568 4875226251264 4978954469376 5032491614208 5778045927424 6500301668352 7312839376896 7548737421312 7672487215104 8667068891136 9750452502528 9957908938752 13000603336704 14625678753792 15097474842624 17334137782272 19500905005056 26001206673408 29251357507584 39001810010112 52002413346816 58502715015168 78003620020224 117005430030336 156007240040448 234010860060672 468021720121344
• Sum of all divisors σ(n): 1499779270956384
• Sum of proper divisors (its aliquot sum) s(n): 1031757550835040
• 468021720121344 is an abundant number, because the sum of its proper divisors (1031757550835040) is greater than itself. Its abundance is 563735830713696

Bases of 468021720121344

• Binary: 1101010011010100111001100011000000000000000000000₂
• Hexadecimal: 0x1A9A9CC600000
• Base-36: 4LWE7K7400

Squares and roots of 468021720121344

• 468021720121344 squared (468021720121344²) is 219044330505341655198084366336
• 468021720121344 cubed (468021720121344³) is 102517504345938185894294563646041167268675584
• The square root of 468021720121344 is 21633809.6534416241
• The cube root of 468021720121344 is 77640.5618422395

Scales and comparisons

• 468,021,720,121,344 seconds is equal to 14,881,643 years, 4 days, 23 hours, 2 minutes, 24 seconds.
• To count from 1 to 468,021,720,121,344 would take you about thirty-seven million, two hundred four thousand, one hundred seven 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 468021720121344 cubic inches would be around 6470 feet tall.

Recreational maths with 468021720121344

• 468021720121344 backwards is 443121027120864
• The number of decimal digits it has is: 15
• The sum of 468021720121344's digits is 45
• More coming soon!