470021829618432

Names of 470021829618432

• Cardinal: 470021829618432 can be written as Four hundred seventy trillion, twenty-one billion, eight hundred twenty-nine million, six hundred eighteen thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 4.70021829618432 × 10¹⁴

Factors of 470021829618432

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2864

Divisors of 470021829618432

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 59 64 78 84 91 96 104 112 118 128 156 168 177 182 192 208 224 236 256 273 312 336 354 364 384 413 416 448 472 546 624 672 708 728 767 768 826 832 896 944 1092 1239 1248 1344 1381 1399 1416 1456 1534 1652 1664 1792 1888 2184 2301 2478 2496 2688 2762 2798 2832 2912 3068 3304 3328 3481 3776 4143 4197 4368 4602 4956 4992 5369 5376 5524 5596 5664 5824 6136 6608 6962 7552 8286 8394 8736 9204 9667 9793 9912 9984 10443 10738 11048 11192 11328 11648 12272 13216 13924 15104 16107 16572 16788 17472 17953 18187 18408 19334 19586 19824 20886 21476 22096 22384 22656 23296 24367 24544 26432 27848 29001 29379 32214 33144 33576 34944 35906 36374 36816 38668 39172 39648 41772 42952 44192 44768 45253 45312 48734 49088 52864 53859 54561 55696 58002 58758 64428 66288 67152 69888 71812 72748 73101 73632 77336 78344 79296 81479 82541 83544 85904 88384 89536 90506 97468 98176 105728 107718 109122 111392 116004 117516 125671 127309 128856 132576 134304 135759 143624 145496 146202 147264 154672 156688 158592 162958 165082 167088 171808 176768 179072 181012 194936 196352 215436 218244 222784 232008 235032 244437 247623 251342 254618 257712 265152 268608 271518 287248 290992 292404 294528 309344 313376 316771 317184 325916 330164 334176 343616 353536 358144 362024 377013 381927 389872 430872 436488 445568 464016 470064 488874 495246 502684 509236 515424 530304 537216 543036 570353 574496 577787 581984 584808 589056 618688 626752 633542 651832 660328 668352 687232 724048 754026 763854 779744 861744 872976 891136 928032 940128 950313 977748 990492 1005368 1018472 1030848 1059227 1060608 1073033 1074432 1086072 1140706 1148992 1155574 1163968 1169616 1237376 1253504 1267084 1303664 1320656 1336704 1374464 1448096 1508052 1527708 1559488 1711059 1723488 1733361 1745952 1856064 1880256 1900626 1932019 1955496 1980984 2010736 2036944 2061696 2118454 2146066 2172144 2281412 2297984 2311148 2327936 2339232 2474752 2507008 2534168 2607328 2641312 2673408 2896192 3016104 3055416 3118976 3177681 3219099 3422118 3446976 3466722 3491904 3712128 3760512 3801252 3864038 3910992 3961968 4021472 4073888 4123392 4236908 4292132 4344288 4562824 4595968 4622296 4655872 4678464 4807261 4869919 5068336 5214656 5282624 5792384 5796057 6032208 6110832 6237952 6355362 6438198 6844236 6893952 6933444 6983808 7414589 7424256 7511231 7521024 7602504 7728076 7821984 7923936 8042944 8147776 8473816 8584264 8688576 9125648 9244592 9356928 9614522 9739838 10136672 10429312 10565248 11584768 11592114 12064416 12221664 12710724 12876396 13524133 13688472 13787904 13866888 13967616 14421783 14609757 14829178 15022462 15205008 15456152 15643968 15847872 16085888 16295552 16947632 17168528 17377152 18251296 18489184 18713856 19229044 19479676 20273344 20858624 21130496 22243767 22533693 23184228 24128832 24443328 25116247 25421448 25752792 27048266 27376944 27733776 28843566 29219514 29658356 30044924 30410016 30912304 31287936 31695744 32171776 32591104 33650827 33895264 34089433 34337056 34754304 36502592 36978368 38458088 38959352 40546688 40572399 44487534 45067386 46368456 48257664 48886656 50232494 50842896 51505584 54096532 54753888 55467552 57687132 58439028 59316712 60089848 60820032 61824608 62494393 62575872 63308947 63391488 67301654 67790528 68178866 68674112 73005184 73956736 75348741 76916176 77918704 81093376 81144798 88975068 90134772 92736912 96515328 97773312 100464988 100952481 101685792 102268299 103011168 108193064 109507776 110935104 113989121 115374264 116878056 118633424 120179696 121640064 123649216 124988786 126617894 134603308 135581056 136357732 137348224 146010368 147913472 150697482 153832352 155837408 162289596 175813729 177950136 180269544 185473824 187483179 189926841 200929976 201904962 203371584 204536598 206022336 216386128 219015552 221870208 227978242 230748528 233756112 237266848 240359392 243280128 247298432 249977572 253235788 269206616 271162112 272715464 274696448 301394964 307664704 311674816 324579192 341967363 351627458 355900272 360539088 370947648 374966358 379853682 401859952 403809924 406743168 409073196 412044672 432772256 437460751 438031104 443162629 443740416 455956484 461497056 467512224 474533696 480718784 494596864 499955144 506471576 527441187 538413232 545430928 602789928 615329408 623349632 649158384 683934726 703254916 711800544 721078176 741895296 749932716 759707364 797923847 803719904 807619848 813486336 818146392 824089344 865544512 874921502 886325258 911912968 922994112 935024448 949067392 961437568 999910288 1012943152 1054882374 1076826464 1090861856 1205579856 1230658816 1246699264 1298316768 1312382253 1329487887 1367869452 1406509832 1423601088 1442156352 1481858573 1483790592 1499865432 1519414728 1595847694 1607439808 1615239696 1636292784 1731089024 1749843004 1772650516 1823825936 1845988224 1870048896 1898134784 1922875136 1999820576 2025886304 2109764748 2153652928 2181723712 2393771541 2411159712 2596633536 2624764506 2658975774 2735738904 2813019664 2847202176 2884312704 2963717146 2999730864 3038829456 3191695388 3214879616 3230479392 3272585568 3462178048 3499686008 3545301032 3647651872 3691976448 3740097792 3999641152 4051772608 4219529496 4307305856 4363447424 4445575719 4787543082 4822319424 5193267072 5249529012 5317951548 5471477808 5626039328 5694404352 5768625408 5927434292 5999461728 6077658912 6383390776 6429759232 6460958784 6545171136 6725358139 6999372016 7090602064 7295303744 7999282304 8103545216 8439058992 8614611712 8726894848 8891151438 9575086164 9644638848 10373010011 10386534144 10499058024 10635903096 10942955616 11252078656 11854868584 11998923456 12155317824 12766781552 12921917568 13090342272 13450716278 13998744032 14181204128 14590607488 15998564608 16207090432 16878117984 17782302876 19150172328 19289277696 20176074417 20746020022 20998116048 21271806192 21885911232 22504157312 23709737168 23997846912 24310635648 25533563104 25843835136 26180684544 26901432556 27997488064 28362408256 29181214976 31119030033 33756235968 35564605752 38300344656 40352148834 41492040044 41996232096 42543612384 43771822464 45008314624 47077506973 47419474336 47995693824 48621271296 51067126208 53802865112 55994976128 56724816512 62238060066 67512471936 71129211504 76600689312 80704297668 82984080088 83992464192 85087224768 87429655807 87543644928 94155013946 94838948672 102134252416 107605730224 111989952256 113449633024 124476120132 135024943872 141232520919 142258423008 153201378624 161408595336 165968160176 167984928384 170174449536 174859311614 188310027892 189677897344 204268504832 215211460448 248952240264 262288967421 282465041838 284516846016 306402757248 322817190672 331936320352 335969856768 340348899072 349718623228 376620055784 379355794688 430422920896 497904480528 524577934842 564930083676 569033692032 612007590649 612805514496 645634381344 663872640704 699437246456 753240111568 860845841792 995808961056 1049155869684 1129860167352 1138067384064 1224015181298 1291268762688 1327745281408 1398874492912 1506480223136 1721691683584 1836022771947 1991617922112 2098311739368 2259720334704 2448030362596 2582537525376 2655490562816 2797748985824 3012960446272 3672045543894 3983235844224 4196623478736 4519440669408 4896060725192 5165075050752 5595497971648 6025920892544 7344091087788 7966471688448 8393246957472 9038881338816 9792121450384 11190995943296 12051841785088 14688182175576 16786493914944 18077762677632 19584242900768 22381991886592 29376364351152 33572987829888 36155525355264 39168485801536 58752728702304 67145975659776 78336971603072 117505457404608 156673943206144 235010914809216 470021829618432
• Sum of all divisors σ(n): 1568414756070400
• Sum of proper divisors (its aliquot sum) s(n): 1098392926451968
• 470021829618432 is an abundant number, because the sum of its proper divisors (1098392926451968) is greater than itself. Its abundance is 628371096833536

Bases of 470021829618432

• Binary: 1101010110111101101111100001100001110101100000000₂
• Hexadecimal: 0x1AB7B7C30EB00
• Base-36: 4MLX1PR11C

Squares and roots of 470021829618432

• 470021829618432 squared (470021829618432²) is 220920520317858320886714138624
• 470021829618432 cubed (470021829618432³) is 103837467160055748567256038338824421473517568
• The square root of 470021829618432 is 21679986.8454395517
• The cube root of 470021829618432 is 77751.0046771225

Scales and comparisons

• 470,021,829,618,432 seconds is equal to 14,945,240 years, 16 weeks, 10 hours, 27 minutes, 12 seconds.
• To count from 1 to 470,021,829,618,432 would take you about thirty-seven million, three hundred sixty-three thousand, one hundred 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 470021829618432 cubic inches would be around 6479.3 feet tall.

Recreational maths with 470021829618432

• 470021829618432 backwards is 234816928120074
• The number of decimal digits it has is: 15
• The sum of 470021829618432's digits is 57
• More coming soon!