468311905152

Names of 468311905152

• Cardinal: 468311905152 can be written as Four hundred sixty-eight billion, three hundred eleven million, nine hundred five thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 4.68311905152 × 10¹¹

Factors of 468311905152

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 658

Divisors of 468311905152

• Number of divisors d(n): 1024
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 32 36 38 39 42 48 52 54 56 57 63 64 72 76 78 84 91 96 104 108 112 114 117 126 128 133 144 152 156 168 171 181 182 189 192 208 216 224 228 234 247 252 266 273 288 304 312 336 342 351 362 364 378 384 399 416 432 433 448 456 468 494 504 513 532 543 546 576 608 624 672 684 702 724 728 741 756 798 819 832 864 866 896 912 936 988 1008 1026 1064 1086 1092 1152 1197 1216 1248 1267 1299 1344 1368 1404 1448 1456 1482 1512 1596 1629 1638 1664 1728 1729 1732 1824 1872 1976 2016 2052 2128 2172 2184 2223 2353 2394 2432 2457 2496 2534 2598 2688 2736 2808 2896 2912 2964 3024 3031 3192 3258 3276 3439 3456 3458 3464 3591 3648 3744 3801 3897 3952 4032 4104 4256 4344 4368 4446 4706 4788 4887 4914 4992 5068 5187 5196 5472 5616 5629 5792 5824 5928 6048 6062 6384 6516 6552 6669 6878 6916 6928 7059 7182 7296 7488 7602 7794 7904 8064 8208 8227 8512 8688 8736 8892 9093 9412 9576 9774 9828 10136 10317 10374 10392 10944 11232 11258 11403 11584 11648 11691 11856 12096 12124 12768 13032 13104 13338 13756 13832 13856 14118 14364 14976 15204 15561 15588 15808 16416 16454 16471 16887 17024 17376 17472 17784 18186 18824 19152 19548 19656 20272 20634 20748 20784 21177 21888 22464 22516 22806 23168 23382 23712 24073 24192 24248 24681 25536 26064 26208 26676 27279 27512 27664 27712 28236 28728 30408 30951 31122 31176 31616 32832 32908 32942 33774 34209 34752 34944 35568 36372 37648 38304 39096 39312 39403 40544 41268 41496 41568 42354 44707 44928 45032 45612 46683 46764 47424 48146 48496 49362 49413 50661 51072 52128 52416 53352 54558 55024 55328 55424 56472 57456 57589 60816 61902 62244 62352 63531 65664 65816 65884 67548 68418 69504 71136 72219 72744 74043 75296 76608 78192 78373 78624 78806 81088 81837 82536 82992 83136 84708 89414 90064 91224 92853 93366 93528 94848 96292 96992 98724 98826 101322 104256 104832 106704 106951 109116 110048 110656 112944 114912 115178 118209 121632 123804 124488 124704 127062 131632 131768 134121 135096 136836 142272 144438 145488 148086 148239 150592 151983 153216 156384 156746 157248 157612 162176 163674 165072 165984 166272 169416 172767 178828 180128 182448 185706 186732 187056 192584 193984 197448 197652 202644 208512 213408 213902 216657 218232 220096 221312 222129 225888 229824 230356 235119 236418 243264 247608 248976 249408 254124 263264 263536 268242 270192 273672 284544 288876 290976 296172 296478 301184 303966 312768 312949 313492 314496 315224 320853 327348 330144 331968 338832 345534 354627 357656 360256 364896 371412 373464 374112 385168 387968 394896 395304 402363 405288 426816 427804 433314 436464 440192 444258 444717 451776 459648 460712 470238 472836 486528 495216 497952 498816 508248 518301 526528 527072 536484 540384 547344 548611 577752 581952 592344 592956 607932 625536 625898 626984 630448 641706 649971 654696 660288 663936 677664 691068 705357 709254 715312 720512 729792 742824 746928 748224 748657 770336 789792 790608 804726 810576 853632 855608 866628 872928 888516 889434 903552 921424 938847 940476 945672 962559 990432 995904 1016496 1018849 1036602 1053056 1054144 1063881 1072968 1080768 1094688 1097222 1155504 1163904 1184688 1185912 1207089 1215864 1251796 1253968 1260896 1283412 1299942 1309392 1320576 1355328 1382136 1410714 1418508 1430624 1459584 1485648 1489087 1493856 1496448 1497314 1540672 1554903 1579584 1581216 1609452 1621152 1645833 1711216 1733256 1745856 1777032 1778868 1842848 1877694 1880952 1891344 1925118 1980864 1991808 2032992 2037698 2073204 2108288 2116071 2127762 2145936 2161536 2189376 2194444 2245971 2311008 2369376 2371824 2414178 2431728 2503592 2507936 2521792 2566824 2599884 2618784 2710656 2764272 2816541 2821428 2837016 2861248 2887677 2971296 2978174 2987712 2994628 3056547 3081344 3109806 3159168 3162432 3218904 3242304 3291666 3422432 3466512 3491712 3554064 3557736 3685696 3755388 3761904 3782688 3850236 3961728 4065984 4075396 4146408 4232142 4255524 4291872 4378752 4388888 4467261 4491942 4622016 4738752 4743648 4828356 4863456 4937499 5007184 5015872 5043584 5133648 5199768 5237568 5528544 5633082 5642856 5674032 5722496 5775354 5942592 5956348 5975424 5989256 6113094 6219612 6324864 6437808 6484608 6583332 6737913 6844864 6933024 7108128 7115472 7131943 7371392 7510776 7523808 7565376 7700472 8131968 8150792 8292816 8449623 8464284 8511048 8583744 8777776 8934522 8983884 9169641 9244032 9477504 9487296 9656712 9726912 9874998 10014368 10031744 10267296 10399536 10423609 10475136 11057088 11266164 11285712 11348064 11550708 11885184 11912696 11978512 12226188 12439224 12875616 13166664 13401783 13475826 13689728 13866048 14216256 14230944 14263886 14812497 15021552 15047616 15130752 15400944 16301584 16585632 16899246 16928568 17022096 17167488 17555552 17869044 17967768 18339282 18974592 19313424 19358131 19453824 19749996 20028736 20213739 20534592 20799072 20847218 21395829 22114176 22532328 22571424 22696128 23101416 23825392 23957024 24452376 24878448 25751232 26333328 26803566 26951652 27508923 27732096 28432512 28461888 28527772 29624994 30043104 30095232 30801888 31270827 32603168 33171264 33798492 33857136 34044192 35111104 35738088 35935536 36678564 38626848 38716262 39499992 40057472 40205349 40427478 41069184 41598144 41694436 42791658 45064656 45142848 45392256 46202832 47650784 47914048 48904752 49756896 51502464 52666656 53607132 53903304 55017846 56923776 57055544 58074393 59249988 60086208 61603776 62541654 64187487 65206336 66342528 67596984 67714272 68088384 70222208 71476176 71871072 73357128 77253696 77432524 78999984 80410698 80854956 83196288 83388872 85583316 90129312 90285696 92405664 93812481 95301568 95828096 97809504 99513792 105333312 107214264 107806608 110035692 114111088 116148786 118499976 120172416 123207552 125083308 128374974 130412672 135193968 135428544 135506917 136176768 142952352 143742144 146714256 154507392 154865048 157999968 160821396 161709912 166777744 171166632 174223179 180258624 184811328 187624962 190603136 192562461 195619008 199027584 210666624 214428528 215613216 220071384 228222176 232297572 236999952 250166616 256749948 270387936 270857088 271013834 281437443 285904704 287484288 293428512 309730096 315999936 321642792 323419824 333555488 342333264 348446358 360517248 369622656 375249924 385124922 391238016 406520751 428857056 431226432 440142768 456444352 464595144 473999904 500333232 513499896 522669537 540775872 542027668 562874886 571809408 586857024 619460192 631999872 643285584 646839648 667110976 684666528 696892716 750499848 770249844 813041502 857714112 862452864 880285536 912888704 929190288 947999808 1000666464 1026999792 1045339074 1081551744 1084055336 1125749772 1173714048 1219562253 1238920384 1286571168 1293679296 1334221952 1369333056 1393785432 1500999696 1540499688 1626083004 1715428224 1760571072 1858380576 1895999616 2001332928 2053999584 2090678148 2168110672 2251499544 2439124506 2477840768 2573142336 2587358592 2738666112 2787570864 3001999392 3080999376 3252166008 3521142144 3658686759 3716761152 4002665856 4107999168 4181356296 4336221344 4502999088 4878249012 5146284672 5575141728 6003998784 6161998752 6504332016 7317373518 7433522304 8215998336 8362712592 8672442688 9005998176 9756498024 11150283456 12007997568 12323997504 13008664032 14634747036 16725425184 17344885376 18011996352 19512996048 22300566912 24647995008 26017328064 29269494072 33450850368 36023992704 39025992096 52034656128 58538988144 66901700736 78051984192 117077976288 156103968384 234155952576 468311905152
• Sum of all divisors σ(n): 1804717824000
• Sum of proper divisors (its aliquot sum) s(n): 1336405918848
• 468311905152 is an abundant number, because the sum of its proper divisors (1336405918848) is greater than itself. Its abundance is 868094013696

Bases of 468311905152

• Binary: 110110100001001100100001001001110000000₂
• Hexadecimal: 0x6D09909380
• Base-36: 5Z50TEO0

Squares and roots of 468311905152

• 468311905152 squared (468311905152²) is 219316040507095844143104
• 468311905152 cubed (468311905152³) is 102708312760271258945318695162871808
• The square root of 468311905152 is 684333.1828517451
• The cube root of 468311905152 is 7765.6604882581

Scales and comparisons

• 468,311,905,152 seconds is equal to 14,890 years, 45 weeks, 1 day, 16 hours, 19 minutes, 12 seconds.
• To count from 1 to 468,311,905,152 would take you about twenty-nine thousand, seven hundred eighty-one 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 468311905152 cubic inches would be around 647.1 feet tall.

Recreational maths with 468311905152

• 468311905152 backwards is 251509113864
• The number of decimal digits it has is: 12
• The sum of 468311905152's digits is 45
• More coming soon!