345394680364800

Names of 345394680364800

• Cardinal: 345394680364800 can be written as Three hundred forty-five trillion, three hundred ninety-four billion, six hundred eighty million, three hundred sixty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 3.453946803648 × 10¹⁴

Factors of 345394680364800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 141044

Divisors of 345394680364800

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 53 55 60 64 66 72 73 75 80 88 90 96 99 100 106 110 120 128 132 144 146 150 159 160 165 176 180 192 198 200 212 219 220 225 240 256 264 265 275 288 292 300 318 320 330 352 360 365 384 396 400 424 438 440 450 477 480 495 528 530 550 576 583 584 600 636 640 657 660 704 720 730 768 792 795 800 803 825 848 876 880 900 954 960 990 1056 1060 1095 1100 1152 1166 1168 1200 1272 1280 1314 1320 1325 1408 1440 1460 1584 1590 1600 1606 1650 1696 1749 1752 1760 1800 1825 1908 1920 1980 2112 2120 2190 2200 2304 2332 2336 2385 2400 2409 2475 2544 2628 2640 2650 2816 2880 2915 2920 3168 3180 3200 3212 3285 3300 3392 3498 3504 3520 3600 3650 3816 3840 3869 3960 3975 4015 4224 4240 4380 4400 4664 4672 4770 4800 4818 4950 5088 5247 5256 5280 5300 5475 5760 5830 5840 6336 6360 6400 6424 6570 6600 6784 6996 7008 7040 7200 7227 7300 7632 7738 7920 7950 8030 8448 8480 8745 8760 8800 9328 9344 9540 9600 9636 9900 10176 10494 10512 10560 10600 10950 11520 11607 11660 11680 11925 12045 12672 12720 12848 13140 13200 13568 13992 14016 14080 14400 14454 14575 14600 15264 15476 15840 15900 16060 16425 16960 17490 17520 17600 18656 18688 19080 19200 19272 19345 19800 20075 20352 20988 21024 21120 21200 21900 23214 23320 23360 23850 24090 25344 25440 25696 26235 26280 26400 27984 28032 28800 28908 29150 29200 30528 30952 31680 31800 32120 32850 33920 34821 34980 35040 35200 36135 37312 38160 38544 38690 39600 40150 40704 41976 42048 42240 42400 42559 43725 43800 46428 46640 46720 47700 48180 50880 51392 52470 52560 52800 55968 56064 57600 57816 58035 58300 58400 60225 61056 61904 63360 63600 64240 65700 67840 69642 69960 70080 70400 72270 74624 76320 77088 77380 79200 80300 83952 84096 84800 85118 87450 87600 92856 93280 93440 95400 96360 96725 101760 102784 104940 105120 105600 111936 115632 116070 116600 116800 120450 122112 123808 126720 127200 127677 128480 131175 131400 139284 139920 140160 140897 144540 149248 152640 154176 154760 158400 160600 167904 168192 169600 170236 174105 174900 175200 180675 185712 186560 190800 192720 193450 203520 205568 209880 210240 211200 212795 223872 231264 232140 233200 233600 240900 247616 254400 255354 256960 262350 262800 278568 279840 280320 281794 289080 290175 305280 308352 309520 316800 321200 335808 339200 340472 348210 349800 350400 361350 371424 373120 381600 383031 385440 386900 419760 420480 422691 425590 447744 462528 464280 466400 467200 481800 495232 508800 510708 513920 524700 525600 557136 559680 563588 578160 580350 610560 616704 619040 633600 638385 642400 671616 680944 696420 699600 700800 704485 722700 742848 746240 763200 766062 770880 773800 839520 840960 845382 851180 870525 925056 928560 932800 963600 990464 1017600 1021416 1027840 1049400 1051200 1063975 1114272 1119360 1127176 1156320 1160700 1238080 1268073 1276770 1284800 1343232 1361888 1392840 1399200 1401600 1408970 1445400 1485696 1526400 1532124 1541760 1547600 1549867 1679040 1690764 1702360 1741050 1850112 1857120 1865600 1915155 1927200 2042832 2098800 2102400 2113455 2127950 2228544 2238720 2254352 2312640 2321400 2476160 2536146 2553540 2569600 2723776 2785680 2798400 2817940 2890800 2971392 3052800 3064248 3083520 3095200 3099734 3191925 3358080 3381528 3404720 3482100 3522425 3714240 3731200 3830310 3854400 4085664 4197600 4204800 4226910 4255900 4457088 4508704 4625280 4642800 4649601 4952320 5072292 5107080 5139200 5447552 5571360 5596800 5635880 5781600 6128496 6190400 6199468 6340365 6383850 6716160 6763056 6809440 6964200 7044850 7428480 7467541 7660620 7708800 7749335 8171328 8395200 8453820 8511800 8914176 9017408 9250560 9285600 9299202 9575775 10144584 10214160 10285481 10567275 10895104 11142720 11193600 11271760 11563200 12256992 12380800 12398936 12680730 12767700 13526112 13618880 13928400 13948803 14089700 14856960 14935082 15321240 15417600 15498670 16342656 16790400 16907640 17023600 18034816 18571200 18598404 19151550 20289168 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180348160 185138658 185984040 186688525 198382976 202891680 204283200 205709620 222854400 223180848 224026230 225435200 226280582 232480050 238961312 245139840 246428853 246851544 247978720 253614600 257137025 268831476 270522240 272377600 278976060 297574464 298701640 306424800 308564430 309973400 324626688 328571804 329135392 336039345 338152800 339420873 348720075 358441968 370277316 371968080 373377050 396765952 405783360 408566400 410714755 411419240 446361696 448052460 450870400 452561164 462846645 464960100 477922624 490279680 492857706 493703088 495957440 507229200 514274050 537662952 541044480 545130493 557952120 560065575 565701455 595148928 597403280 612849600 617128860 619946800 657143608 658270784 672078690 676305600 678841746 697440150 716883936 739286559 740554632 743936160 746754100 771411075 811566720 817132800 821429510 822838480 892723392 896104920 901740800 905122328 925693290 929920200 955845248 985715412 987406176 991914880 1014458400 1018262619 1028548100 1075325904 1090260986 1115904240 1120131150 1131402910 1190297856 1194806560 1225699200 1232144265 1234257720 1239893600 1314287216 1316541568 1344157380 1352611200 1357683492 1394880300 1433767872 1478573118 1481109264 1487872320 1493508200 1542822150 1623133440 1635391479 1642859020 1645676960 1680196725 1697104365 1785446784 1792209840 1810244656 1851386580 1859840400 1911690496 1971430824 1974812352 1983829760 2028916800 2036525238 2053573775 2057096200 2150651808 2180521972 2231808480 2240262300 2262805820 2314233225 2389613120 2451398400 2464288530 2468515440 2479787200 2628574432 2633083136 2688314760 2705222400 2715366984 2725652465 2789760600 2828507275 2867535744 2957146236 2962218528 2975744640 2987016400 3085644300 3270782958 3285718040 3291353920 3360393450 3394208730 3570893568 3584419680 3620489312 3696432795 3702773160 3719680800 3942861648 3949624704 4057833600 4073050476 4107147550 4114192400 4301303616 4361043944 4463616960 4480524600 4525611640 4628466450 4779226240 4906174437 4928577060 4937030880 4959574400 5091313095 5257148864 5376629520 5430733968 5451304930 5579521200 5657014550 5735071488 5914292472 5924437056 5951489280 5974032800 5996435423 6160721325 6171288600 6541565916 6571436080 6582707840 6720786900 6788417460 7168839360 7240978624 7392865590 7405546320 7439361600 7885723296 7899249408 8115667200 8146100952 8176957395 8214295100 8228384800 8485521825 8602607232 8722087888 8927233920 8961049200 9051223280 9256932900 9558452480 9812348874 9857154120 9874061760 9919148800 10182626190 10514297728 10753259040 10861467936 10902609860 11159042400 11314029100 11828584944 11848874112 11948065600 11992870846 12321442650 12342577200 13083131832 13142872160 13165415680 13441573800 13576834920 13628262325 14337678720 14481957248 14785731180 14811092640 14878723200 15771446592 16292201904 16353914790 16428590200 16456769600 16971043650 17205214464 17444175776 17854467840 17922098400 17989306269 18102446560 18482163975 18513865800 19624697748 19714308240 19748123520 20365252380 21028595456 21506518080 21722935872 21805219720 22318084800 22628058200 23657169888 23697748224 23896131200 23985741692 24530872185 24642885300 24685154400 25456565475 26166263664 26285744320 26883147600 27153669840 27256524650 28675357440 28963914496 29571462360 29622185280 29757446400 29982177115 31542893184 32584403808 32707829580 32857180400 32913539200 33942087300 34888351552 35844196800 35978612538 36204893120 36964327950 37027731600 39249395496 39428616480 39496247040 40730504760 40884786975 43013036160 43445871744 43610439440 44636169600 45256116400 47314339776 47792262400 47971483384 49061744370 49285770600 49370308800 50913130950 52332527328 52571488640 53766295200 53967918807 54307339680 54513049300 59142924720 59244370560 59964354230 63085786368 65168807616 65415659160 65714360800 65827078400 67884174600 69776703104 71688393600 71957225076 72409786240 73928655900 74055463200 78498790992 78857232960 81461009520 81769573950 86026072320 86891743488 87220878880 89272339200 89946531345 90512232800 94628679552 95942966768 98123488740 98571541200 98740617600 101826261900 104665054656 105142977280 107532590400 107935837614 108614679360 109026098600 118285849440 118488741120 119928708460 122654360925 130337615232 130831318320 131428721600 135768349200 139553406208 143376787200 143914450152 144819572480 147857311800 148110926400 149910885575 156997581984 157714465920 162922019040 163539147900 174441757760 179893062690 181024465600 189257359104 191885933536 196246977480 197143082400 197481235200 203652523800 209330109312 215065180800 215871675228 217229358720 218052197200 236571698880 239857416920 245308721850 260675230464 261662636640 262857443200 269839594035 271536698400 287828900304 295714623600 296221852800 299821771150 313995163968 315428931840 325844038080 327078295800 348883515520 359786125380 362048931200 383771867072 392493954960 394286164800 407305047600 418660218624 430130361600 431743350456 434458717440 436104394400 449732656725 473143397760 479714833840 490617443700 523325273280 525714886400 539679188070 543073396800 575657800608 591429247200 592443705600 599643542300 627990327936 651688076160 654156591600 697767031040 719572250760 724097862400 767543734144 784987909920 788572329600 814610095200 863486700912 872208788800 899465313450 946286795520 959429667680 981234887400 1046650546560 1079358376140 1086146793600 1151315601216 1182858494400 1199287084600 1255980655872 1303376152320 1308313183200 1349197970175 1439144501520 1535087468288 1569975819840 1577144659200 1629220190400 1726973401824 1744417577600 1798930626900 1918859335360 1962469774800 2093301093120 2158716752280 2172293587200 2302631202432 2365716988800 2398574169200 2616626366400 2698395940350 2878289003040 3139951639680 3258440380800 3453946803648 3488835155200 3597861253800 3837718670720 3924939549600 4317433504560 4605262404864 4731433977600 4797148338400 5233252732800 5396791880700 5756578006080 6279903279360 6516880761600 6907893607296 7195722507600 7675437341440 7849879099200 8634867009120 9594296676800 10466505465600 10793583761400 11513156012160 13815787214592 14391445015200 15699758198400 17269734018240 19188593353600 21587167522800 23026312024320 28782890030400 31399516396800 34539468036480 38377186707200 43174335045600 57565780060800 69078936072960 86348670091200 115131560121600 172697340182400 345394680364800
• Sum of all divisors σ(n): 1391353549735968
• Sum of proper divisors (its aliquot sum) s(n): 1045958869371168
• 345394680364800 is an abundant number, because the sum of its proper divisors (1045958869371168) is greater than itself. Its abundance is 700564189006368

Bases of 345394680364800

• Binary: 1001110100010001001110111001110101111111100000000₂
• Hexadecimal: 0x13A22773AFF00
• Base-36: 3EFK4IV280

Squares and roots of 345394680364800

• 345394680364800 squared (345394680364800²) is 119297485224302358661079040000
• 345394680364800 cubed (345394680364800³) is 41204716777372364002814123915068833792000000
• The square root of 345394680364800 is 18584797.0224266911
• The cube root of 345394680364800 is 70162.5257822763

Scales and comparisons

• 345,394,680,364,800 seconds is equal to 10,982,482 years, 23 weeks, 6 days, 8 hours.
• To count from 1 to 345,394,680,364,800 would take you about twenty-seven million, four hundred fifty-six thousand, two hundred 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 345394680364800 cubic inches would be around 5846.9 feet tall.

Recreational maths with 345394680364800

• 345394680364800 backwards is 008463086493543
• The number of decimal digits it has is: 15
• The sum of 345394680364800's digits is 63
• More coming soon!