345997638401688

Names of 345997638401688

• Cardinal: 345997638401688 can be written as Three hundred forty-five trillion, nine hundred ninety-seven billion, six hundred thirty-eight million, four hundred one thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 3.45997638401688 × 10¹⁴

Factors of 345997638401688

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 538

Divisors of 345997638401688

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 43 49 52 56 63 72 78 84 86 91 97 98 104 117 126 129 147 156 168 169 172 182 194 196 234 252 258 273 291 294 301 312 338 344 364 373 387 388 392 441 468 504 507 516 546 559 582 588 602 637 676 679 728 746 774 776 819 873 882 903 936 1014 1032 1092 1118 1119 1164 1176 1183 1204 1261 1274 1352 1358 1492 1521 1548 1638 1677 1746 1764 1806 1911 2028 2037 2107 2184 2236 2238 2328 2366 2408 2522 2548 2611 2709 2716 2984 3042 3096 3276 3354 3357 3492 3528 3549 3612 3783 3822 3913 4056 4074 4171 4214 4472 4476 4732 4753 4849 5031 5044 5096 5222 5418 5432 5733 6084 6111 6321 6552 6708 6714 6984 7098 7224 7267 7566 7644 7826 7833 8148 8281 8342 8428 8827 8952 9464 9506 9698 10062 10088 10444 10647 10836 11349 11466 11739 12168 12222 12513 12642 13416 13428 14196 14259 14534 14547 15132 15288 15652 15666 16039 16296 16393 16562 16684 16856 17654 18277 18963 19012 19396 20124 20888 21294 21672 21801 22698 22932 23478 23499 24444 24843 25026 25284 26481 26856 27391 28392 28518 29068 29094 29197 30264 31304 31332 32078 32786 33124 33368 33943 35217 35308 36181 36554 37539 37926 38024 38792 40248 42588 42777 43602 43641 45396 45864 46956 46998 48117 48888 49179 49686 50052 50568 50869 52962 54223 54782 54831 57036 58136 58188 58394 61789 62664 63037 64156 65403 65572 66248 67886 70434 70616 72362 73108 74529 75078 75852 79443 82173 85176 85554 87204 87282 87591 90792 93912 93996 96234 98358 99372 100104 101738 101829 105924 108446 108543 109564 109662 112273 114072 114751 116376 116788 123578 126074 128312 130806 131144 135772 139129 140868 144351 144724 146216 147537 149058 150156 151704 152607 158886 162669 164346 164493 171108 174408 174564 175182 185367 187992 189111 192468 196716 198744 203476 203658 204379 208507 211848 216892 217086 219128 219324 224546 229502 233576 237601 246519 247156 252148 253267 261612 262773 271544 278258 281736 288702 289448 295074 298116 300312 305214 305487 317772 325338 325629 328692 328986 336819 342216 344253 349128 350364 356083 370734 378222 379561 384936 393432 406952 407316 408758 417014 417387 433784 434172 438648 441259 449092 457821 459004 470353 475202 488007 493038 494312 504296 506534 523224 525546 556101 556516 567333 577404 590148 596232 610428 610974 613137 625521 635544 650676 651258 657384 657972 673638 688506 700728 704899 712166 712803 741468 756444 759122 759801 785911 803257 814632 817516 834028 834774 868344 882518 898184 915642 918008 940706 950404 973903 976014 986076 1010457 1013068 1032759 1051092 1068249 1112202 1113032 1134666 1138683 1154808 1180296 1220856 1221948 1226274 1251042 1252161 1301352 1302516 1315944 1323777 1347276 1377012 1409798 1411059 1424332 1425606 1459549 1482936 1512888 1518244 1519602 1555783 1571822 1606514 1635032 1668056 1669548 1765036 1772869 1808677 1831284 1839411 1876563 1881412 1900808 1947806 1952028 1972152 2020914 2026136 2065518 2102184 2114697 2136498 2138409 2224404 2269332 2277366 2279403 2357733 2409771 2443896 2452548 2502084 2504322 2605032 2647554 2656927 2694552 2710591 2754024 2819596 2822118 2848664 2851212 2919098 2921709 3036488 3039204 3088813 3111566 3143644 3204747 3213028 3292471 3339096 3416049 3530072 3545738 3617354 3662568 3678822 3753126 3762824 3895612 3904056 3971331 4041828 4131036 4229394 4233177 4272996 4276818 4378647 4448808 4538664 4554732 4558806 4667349 4715466 4819542 4905096 4934293 5004168 5008644 5295108 5313854 5318607 5421182 5426031 5639192 5644236 5702424 5838196 5843418 5982547 6078408 6114589 6177626 6223132 6287288 6344091 6409494 6426056 6584942 6817321 6832098 7073199 7091476 7229313 7234708 7357644 7506252 7791224 7942662 7970781 8083656 8131773 8262072 8458788 8466354 8545992 8553636 8757294 8765127 9109464 9117612 9266439 9334698 9430932 9639084 9868586 9877413 10017288 10216843 10590216 10627708 10637214 10842364 10852062 10890481 11288472 11676392 11686836 11965094 12229178 12355252 12446264 12660739 12688182 12818988 13135941 13169884 13495513 13634642 13664196 14002047 14146398 14182952 14458626 14469416 14715288 14802879 15012504 15885324 15941562 15955821 16263546 16278093 16917576 16932708 17107272 17514588 17530254 17947641 18235224 18343767 18532878 18669396 18861864 18974137 19278168 19737172 19754826 20225179 20433686 20451963 21255416 21274428 21684728 21704124 21780962 23047297 23373672 23512801 23912343 23930188 24395319 24458356 24710504 25321478 25376364 25637976 26271882 26339768 26991026 27269284 27328392 27799317 28004094 28292796 28917252 29605758 29632239 30650529 31770648 31883124 31911642 32527092 32556186 32671443 33865416 34540051 35029176 35060508 35895282 36687534 37065756 37338792 37948274 37982217 39474344 39509652 40450358 40486539 40867372 40903926 41877829 42548856 42802123 43408248 43561924 44408637 46094594 47025602 47824686 47860376 48790638 48916712 50642956 50752728 52543764 53842923 53982052 54538568 55031301 55598634 56008188 56585592 56922411 57834504 59211516 59264478 60675537 61301058 61355889 63766248 63823284 65054184 65112372 65342886 69080102 69141891 70121016 70538403 71790564 73375068 74131512 75896548 75964434 76233367 77773111 79019304 80900716 80973078 81734744 81807852 83755658 85604246 87123848 88625173 88817274 91951587 92189188 94051204 94468591 95649372 97581276 98014329 101285912 103620153 105087528 107685846 107964104 110062602 111197268 112016376 113844822 113946651 118423032 118528956 121351074 121459617 122602116 122711778 125633487 127646568 128406369 130224744 130685772 132818959 138160204 138283782 141076806 141576253 143581128 146750136 151793096 151928868 152466734 155546222 161801432 161946156 163615704 164589607 167511316 170767233 171208492 175441669 177250346 177634548 182026611 183903174 184378376 188102408 188937182 191298744 195162552 196028658 207240306 207425673 211615209 215371692 220125204 222394536 227689644 227893302 228700101 233319333 237057912 242702148 242919234 245204232 245423556 251266974 256812738 261371544 262927327 265637918 265875519 276320408 276567564 282153612 283152506 283405773 293144803 299614861 303857736 304933468 310860459 311092444 323892312 329179214 335022632 341534466 342416984 350883338 354500692 355269096 364053222 367806348 376900461 377874364 385219107 392057316 398456877 414480612 414851346 423230418 424728759 430743384 440250408 455379288 455786604 457400202 466638666 485404296 485838468 490847112 493768821 502533948 513625476 525854654 526325007 531275836 531751038 544411777 553135128 564307224 566305012 566811546 580307059 586289606 599229722 609866936 621720918 622184888 658358428 661280137 683068932 686100303 699957999 701766676 709001384 728106444 735612696 753800922 755748728 770438214 784114632 788781981 796913754 797626557 828961224 829702692 846460836 849457518 850217319 879434409 898844583 911573208 914800404 933277332 971676936 987537642 991033771 1005067896 1011050443 1027250952 1051709308 1052650014 1062551672 1063502076 1088823554 1132610024 1133623092 1152127249 1160614118 1172579212 1195370631 1198459444 1228091683 1243441836 1274186277 1316716856 1322560274 1366137864 1372200606 1399915998 1403533352 1456212888 1481306463 1507601844 1540876428 1577563962 1578975021 1593827508 1595253114 1633235331 1659405384 1692921672 1698915036 1700434638 1740921177 1758868818 1797689166 1829600808 1840491289 1866554664 1975075284 1982067542 1983840411 2022100886 2103418616 2105300028 2127004152 2177647108 2267246184 2280741697 2304254498 2321228236 2345158424 2366345943 2390741262 2396918888 2456183366 2486883672 2548372554 2638303227 2645120548 2696533749 2744401212 2799831996 2962612926 2973101313 3015203688 3033151329 3081752856 3155127924 3157950042 3187655016 3190506228 3266470662 3397830072 3400869276 3456381747 3481842354 3517737636 3595378332 3680982578 3684275049 3810882439 3950150568 3964135084 3967680822 4044201772 4062149413 4210600056 4355294216 4561483394 4608508996 4642456472 4732691886 4781482524 4899705993 4912366732 5096745108 5222763531 5276606454 5290241096 5393067498 5488802424 5521473867 5599663992 5925225852 5946202626 5951521233 6066302658 6310255848 6315900084 6381012456 6532941324 6801738552 6842225091 6912763494 6963684708 7035475272 7077353101 7190756664 7361965156 7368550098 7543991767 7621764878 7928270168 7935361644 8088403544 8124298826 8596641781 8919303939 9099453987 9122966788 9217017992 9465383772 9562965048 9799411986 9824733464 10193490216 10369145241 10445527062 10553212908 10786134996 11042947734 11052825147 11432647317 11850451704 11892405252 11903042466 12132605316 12186448239 12631800168 12883439023 13065882648 13684450182 13825526988 13927369416 14154706202 14723930312 14737100196 15087983534 15243529756 15870723288 15965191879 16248597652 16564421601 17193283562 17838607878 18198907974 18245933576 18930767544 19598823972 20526675273 20738290482 20891054124 21106425816 21232059303 21572269992 22085895468 22105650294 22631975301 22865294634 23784810504 23806084932 24265210632 24372896478 25766878046 25789925343 27368900364 27651053976 28309412404 28435045891 29474200392 30175967068 30487059512 31930383758 32497195304 33128843202 34297941951 34386567124 35677215756 36397815948 36559344717 38650317069 39197647944 41053350546 41476580964 41782108248 42464118606 44171790936 44211300588 45263950602 45730589268 47612169864 47895575637 48745792956 49541471707 51533756092 51579850686 52807942369 54737800728 56618824808 56870091782 60351934136 63696177909 63860767516 66257686404 67895925903 68595883902 68773134248 71354431512 72795631896 73118689434 77300634138 77369776029 82106701092 82953161928 84928237212 85305137673 88422601176 90527901204 91461178536 95791151274 97491585912 98071892971 99082943414 103067512184 103159701372 105615884738 111756343153 113740183564 115950951207 127392355818 127721535032 132515372808 135791851806 137191767804 143686726911 146237378868 148624415121 154601268276 154739552058 158423827107 164213402184 169856474424 170610275346 181055802408 191582302548 196143785942 198165886828 206319402744 211231769476 223512686306 227480367128 231901902414 254784711636 255915413019 271583703612 274383535608 287373453822 292474757736 294215678913 297248830242 309202536552 309479104116 316847654214 335269029459 341220550692 369655596583 383164605096 392287571884 396331773656 422463538952 445873245363 447025372612 463803804828 475271481321 509569423272 511830826038 543167407224 574746907644 588431357826 594497660484 618958208232 633695308428 670538058918 682441101384 686503250797 739311193166 784575143768 882647036739 891746490726 894050745224 927607609656 950542962642 1005807088377 1023661652076 1108966789749 1149493815288 1176862715652 1188995320968 1267390616856 1341076117836 1373006501594 1478622386332 1765294073478 1783492981452 1901085925284 2011614176754 2047323304152 2059509752391 2217933579498 2353725431304 2682152235672 2746013003188 2957244772664 3326900369247 3530588146956 3566985962904 3802171850568 4023228353508 4119019504782 4435867158996 4805522755579 5492026006376 6178529257173 6653800738494 7061176293912 8046456707016 8238039009564 8871734317992 9611045511158 12357058514346 13307601476988 14416568266737 16476078019128 19222091022316 24714117028692 26615202953976 28833136533474 38444182044632 43249704800211 49428234057384 57666273066948 86499409600422 115332546133896 172998819200844 345997638401688
• Sum of all divisors σ(n): 1223553196986120
• Sum of proper divisors (its aliquot sum) s(n): 877555558584432
• 345997638401688 is an abundant number, because the sum of its proper divisors (877555558584432) is greater than itself. Its abundance is 531557920182744

Bases of 345997638401688

• Binary: 1001110101010111011011010010101000111111010011000₂
• Hexadecimal: 0x13AAEDA547E98
• Base-36: 3EN94CID20

Squares and roots of 345997638401688

• 345997638401688 squared (345997638401688²) is 119714365779545242587241249344
• 345997638401688 cubed (345997638401688³) is 41420887842478506810576450613576812438492672
• The square root of 345997638401688 is 18601011.7574740541
• The cube root of 345997638401688 is 70203.3297934957

Scales and comparisons

• 345,997,638,401,688 seconds is equal to 11,001,654 years, 34 weeks, 2 days, 7 hours, 34 minutes, 48 seconds.
• To count from 1 to 345,997,638,401,688 would take you about twenty-seven million, five hundred four thousand, one hundred thirty-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 345997638401688 cubic inches would be around 5850.3 feet tall.

Recreational maths with 345997638401688

• 345997638401688 backwards is 886104836799543
• The number of decimal digits it has is: 15
• The sum of 345997638401688's digits is 81
• More coming soon!