442914536064

Names of 442914536064

• Cardinal: 442914536064 can be written as Four hundred forty-two billion, nine hundred fourteen million, five hundred thirty-six thousand and sixty-four.

Scientific notation

• Scientific notation: 4.42914536064 × 10¹¹

Factors of 442914536064

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 417

Divisors of 442914536064

• Number of divisors d(n): 1024
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 43 44 48 52 56 64 66 77 78 84 86 88 91 96 104 112 127 128 129 132 143 154 156 168 172 176 182 192 208 211 224 231 254 258 264 273 286 301 308 312 336 344 352 364 381 384 416 422 429 448 462 473 508 516 528 546 559 572 602 616 624 633 672 688 704 728 762 832 844 858 889 896 903 924 946 1001 1016 1032 1056 1092 1118 1144 1204 1232 1248 1266 1344 1376 1397 1408 1419 1456 1477 1524 1651 1664 1677 1688 1716 1778 1806 1848 1892 2002 2032 2064 2112 2184 2236 2288 2321 2408 2464 2496 2532 2667 2688 2743 2752 2794 2838 2912 2954 3003 3048 3302 3311 3354 3376 3432 3556 3612 3696 3784 3913 4004 4064 4128 4191 4224 4368 4431 4472 4576 4642 4816 4928 4953 4992 5064 5334 5461 5486 5504 5588 5676 5824 5908 6006 6096 6149 6604 6622 6708 6752 6864 6963 7112 7224 7392 7568 7826 8008 8128 8229 8256 8382 8736 8862 8944 9073 9152 9284 9632 9779 9856 9906 9933 10128 10668 10922 10972 11176 11352 11557 11648 11739 11816 12012 12192 12298 13208 13244 13416 13504 13728 13926 14224 14448 14784 15136 15652 16016 16247 16256 16383 16458 16512 16764 17472 17724 17888 18146 18161 18304 18447 18568 19201 19264 19558 19812 19866 20256 21336 21844 21944 22352 22704 23114 23478 23632 24024 24384 24596 26416 26488 26797 26832 27008 27219 27456 27852 28448 28896 29337 29568 30173 30272 31304 32032 32494 32766 32916 33528 34671 34944 35448 35776 36292 36322 36894 37136 38227 38402 38528 39116 39624 39732 40512 42672 43043 43688 43888 44704 45408 46228 46956 47264 48048 48741 48768 49192 52832 52976 53594 53664 54438 54483 54912 55704 56896 57603 57792 58674 60071 60346 60544 62608 63511 64064 64988 65532 65832 67056 69342 70896 70993 71552 72584 72644 73788 74272 76454 76804 78232 79248 79464 80391 81024 85344 86086 87376 87776 89408 90519 90816 92456 93912 94528 96096 97482 98384 99803 105664 105952 107188 107328 108876 108966 111408 113792 114681 115206 115584 117348 117949 120142 120692 125216 127022 127127 128128 129129 129976 131064 131664 134112 138684 141792 141986 145168 145288 147576 148544 152908 153608 156464 158496 158928 160782 170688 172172 174752 175552 178816 180213 181038 181632 184912 187579 187824 189056 190533 192192 194964 196768 199606 211211 211328 211904 212979 214376 214656 217752 217932 222816 229362 230412 234696 235898 240284 241384 250432 254044 254254 258258 259952 262128 263328 268224 277368 283584 283972 290336 290576 294767 295152 297088 299409 305816 307216 312928 316992 317856 321564 341376 344344 348361 349504 351104 353847 360426 362076 369824 375158 375648 381066 381381 384384 389928 393536 399212 420497 422422 423808 425958 428752 435504 435864 445632 458724 460824 469392 471796 480568 482768 496951 500864 508088 508508 516516 519904 524256 526656 536448 554736 562737 567168 567944 580672 581152 589534 590304 598818 611632 614432 625856 633633 633984 635712 643128 688688 696722 698621 699008 707694 720852 724152 739648 750316 751296 762132 762762 779856 780923 787072 798424 825643 840994 844844 851916 857504 871008 871728 884301 891264 917448 921648 938784 943592 961136 965536 993902 1016176 1017016 1033032 1039808 1045083 1048512 1053312 1109472 1125474 1135888 1152271 1161344 1162304 1179068 1180608 1197636 1223264 1228864 1251712 1261491 1267266 1271424 1286256 1297439 1377376 1393444 1397242 1415388 1441704 1448304 1479296 1490853 1500632 1502592 1524264 1525524 1559712 1561846 1596848 1651286 1681988 1689688 1703832 1715008 1742016 1743456 1768602 1834896 1843296 1877568 1887184 1922272 1931072 1987804 2032352 2034032 2063369 2066064 2079616 2090166 2095863 2097024 2218944 2250948 2271776 2304542 2324608 2342769 2358136 2361216 2395272 2438527 2446528 2457728 2476929 2522982 2534532 2572512 2594878 2754752 2786888 2794484 2830776 2883408 2896608 2981706 3001264 3048528 3051048 3119424 3123692 3193696 3302572 3363976 3379376 3407664 3430016 3456813 3484032 3486912 3537204 3669792 3686592 3755136 3774368 3831971 3844544 3862144 3892317 3975608 4064704 4068064 4126738 4132128 4180332 4191726 4437888 4501896 4543552 4609084 4685538 4716272 4790544 4877054 4893056 4953858 5045964 5069064 5145024 5189756 5466461 5509504 5573776 5588968 5661552 5766816 5793216 5963412 6002528 6097056 6102096 6190107 6238848 6247384 6387392 6605144 6727952 6758752 6815328 6913626 6973824 7074408 7315581 7339584 7373184 7548736 7663942 7689088 7784634 7951216 8065897 8129408 8136128 8253476 8264256 8360664 8383452 9003792 9082073 9087104 9218168 9371076 9432544 9581088 9754108 9907716 10091928 10138128 10290048 10379512 10932922 11147552 11177936 11323104 11495913 11533632 11586432 11926824 12005056 12194112 12204192 12380214 12494768 12674981 12774784 13210288 13455904 13517504 13630656 13827252 14148816 14631162 14679168 14979523 15097472 15327884 15569268 15902432 16131794 16272256 16399383 16506952 16528512 16721328 16766904 18007584 18164146 18436336 18742152 18865088 19162176 19508216 19815432 20183856 20276256 20759024 21865844 22295104 22355872 22646208 22991826 23067264 23853648 24010112 24197691 24388224 24408384 24760428 24989536 25349962 26420576 26823797 26911808 27035008 27246219 27261312 27654504 28297632 29262324 29959046 30655768 31138536 31804864 32263588 32798766 33013904 33442656 33533808 36015168 36328292 36872672 37484304 37730176 38024943 38324352 39016432 39630864 40367712 40552512 41518048 43731688 44590208 44711744 44938569 45292416 45983652 47707296 48395382 48816768 49520856 49979072 50699924 52841152 53647594 53823616 54492438 55309008 56595264 58524648 59918092 61311536 62277072 63609728 64527176 65597532 66027808 66885312 67067616 72030336 72656584 73745344 74968608 76049886 78032864 79261728 80471391 80735424 81105024 83036096 87463376 88724867 89423488 89877138 91967304 95414592 96790764 99041712 99958144 101399848 104856661 105682304 107295188 108984876 110618016 113190528 117049296 119836184 122623072 124554144 129054352 131195064 132055616 133770624 134135232 145313168 147490688 149937216 152099772 156065728 158523456 160942782 161470848 164774753 166072192 174926752 177449734 179754276 183934608 190829184 193581528 198083424 202799696 209713322 214590376 217969752 221236032 234098592 239672368 245246144 249108288 258108704 262390128 264111232 266174601 268270464 290626336 299874432 304199544 312131456 314569983 317046912 321885564 329549506 349853504 354899468 359508552 367869216 387163056 396166848 405599392 419426644 429180752 435939504 442472064 468197184 479344736 490492288 494324259 498216576 516217408 524780256 532349202 581252672 608399088 629139966 643771128 659099012 699707008 709798936 719017104 735738432 774326112 792333696 811198784 838853288 858361504 871879008 936394368 958689472 988648518 1032434816 1049560512 1064698404 1153423271 1162505344 1216798176 1258279932 1287542256 1318198024 1419597872 1438034208 1471476864 1548652224 1622397568 1677706576 1716723008 1743758016 1917378944 1977297036 2099121024 2129396808 2306846542 2433596352 2516559864 2575084512 2636396048 2839195744 2876068416 3097304448 3355413152 3433446016 3460269813 3487516032 3954594072 4258793616 4613693084 4867192704 5033119728 5150169024 5272792096 5678391488 5752136832 6710826304 6920539626 7909188144 8517587232 9227386168 10066239456 10300338048 10545584192 11356782976 13421652608 13841079252 15818376288 17035174464 18454772336 20132478912 21091168384 27682158504 31636752576 34070348928 36909544672 40264957824 55364317008 63273505152 73819089344 110728634016 147638178688 221457268032 442914536064
• Sum of all divisors σ(n): 1636808785920
• Sum of proper divisors (its aliquot sum) s(n): 1193894249856
• 442914536064 is an abundant number, because the sum of its proper divisors (1193894249856) is greater than itself. Its abundance is 750979713792

Bases of 442914536064

• Binary: 110011100011111110000110111101010000000₂
• Hexadecimal: 0x671FC37A80
• Base-36: 5NGZVN9C

Squares and roots of 442914536064

• 442914536064 squared (442914536064²) is 196173286256788356612096
• 442914536064 cubed (442914536064³) is 86888000070575682139483486650630144
• The square root of 442914536064 is 665518.2462292075
• The cube root of 442914536064 is 7622.6616773377

Scales and comparisons

• 442,914,536,064 seconds is equal to 14,083 years, 16 weeks, 1 day, 15 hours, 34 minutes, 24 seconds.
• To count from 1 to 442,914,536,064 would take you about twenty-eight thousand, one hundred sixty-six 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 442914536064 cubic inches would be around 635.2 feet tall.

Recreational maths with 442914536064

• 442914536064 backwards is 460635419244
• 442914536064 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 442914536064's digits is 48
• More coming soon!