345521240064

Names of 345521240064

• Cardinal: 345521240064 can be written as Three hundred forty-five billion, five hundred twenty-one million, two hundred forty thousand and sixty-four.

Scientific notation

• Scientific notation: 3.45521240064 × 10¹¹

Factors of 345521240064

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 404

Divisors of 345521240064

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 52 56 61 63 64 66 72 77 78 84 88 91 96 99 104 112 117 122 126 128 132 143 144 154 156 168 176 182 183 192 198 208 224 231 234 244 252 256 264 273 286 288 307 308 312 336 352 364 366 384 396 416 427 429 448 462 468 488 504 512 528 546 549 572 576 614 616 624 671 672 693 704 728 732 768 792 793 819 832 854 858 896 921 924 936 976 1001 1008 1024 1056 1092 1098 1144 1152 1228 1232 1248 1281 1287 1342 1344 1386 1408 1456 1464 1536 1584 1586 1638 1664 1708 1716 1792 1842 1848 1872 1952 2002 2013 2016 2048 2112 2149 2184 2196 2288 2304 2379 2456 2464 2496 2562 2574 2684 2688 2763 2772 2816 2912 2928 3003 3072 3168 3172 3276 3328 3377 3416 3432 3584 3684 3696 3744 3843 3904 3991 4004 4026 4032 4224 4298 4368 4392 4576 4608 4697 4758 4912 4928 4992 5124 5148 5368 5376 5526 5544 5551 5632 5824 5856 6006 6039 6144 6336 6344 6447 6552 6656 6754 6832 6864 7137 7168 7368 7392 7488 7686 7808 7982 8008 8052 8064 8448 8596 8723 8736 8784 9009 9152 9216 9394 9516 9824 9856 9984 10131 10248 10296 10736 10752 11052 11088 11102 11264 11648 11712 11973 12012 12078 12672 12688 12894 13104 13312 13508 13664 13728 14091 14274 14336 14736 14784 14976 15372 15616 15964 16016 16104 16128 16653 16896 17192 17446 17472 17568 18018 18304 18432 18727 18788 19032 19341 19648 19712 19968 20262 20496 20592 21472 21504 22104 22176 22204 22528 23296 23424 23639 23946 24024 24156 25344 25376 25788 26169 26208 26624 27016 27328 27456 27937 28182 28548 29472 29568 29952 30393 30744 31232 31928 32032 32208 32256 33306 33792 34384 34892 34944 35136 35919 36036 36608 37454 37576 38064 38682 39296 39424 39936 40524 40992 41184 42273 42944 43008 43901 44208 44352 44408 46592 46848 47278 47892 48048 48312 49959 50688 50752 51576 52338 52416 54032 54656 54912 55874 56181 56364 57096 58944 59136 59904 60786 61061 61488 62464 63856 64064 64416 64512 66612 67584 68768 69784 69888 70272 70917 71838 72072 73216 74908 75152 76128 77364 78507 78592 78848 79872 81048 81984 82368 83811 84546 85888 87802 88416 88704 88816 93184 93696 94556 95784 96096 96624 99918 101376 101504 103152 104676 104832 108064 109312 109824 111748 112362 112728 114192 117888 118272 119808 121572 122122 122976 124928 127712 128128 128832 129024 131089 131703 133224 137536 139568 139776 140544 141834 143676 144144 146432 149816 150304 152256 154728 157014 157184 157696 162096 163968 164736 167622 168543 169092 171776 175604 176832 177408 177632 183183 186368 187392 189112 191568 192192 193248 199836 202752 203008 205997 206304 209352 209664 212751 216128 218624 219648 223496 224724 225456 228384 235776 236544 239616 243144 243451 244244 245952 251433 255424 256256 257664 262178 263406 266448 275072 279136 279552 281088 283668 287352 288288 292864 299632 300608 304512 307307 309456 314028 314368 324192 327936 329472 335244 337086 338184 343552 351208 353664 354816 355264 366366 374784 378224 383136 384384 386496 393267 395109 399672 406016 411994 412608 418704 419328 425502 432256 437248 439296 446992 449448 450912 456768 471552 473088 486288 486902 488488 491904 502866 510848 512512 515328 524356 526812 532896 549549 550144 558272 559104 562176 567336 574704 576576 599264 601216 609024 614614 617991 618912 628056 628736 648384 655872 658944 670488 674172 676368 687104 702416 707328 709632 710528 730353 732732 756448 766272 768768 772992 786534 790218 799344 812032 823988 825216 837408 838656 851004 864512 874496 878592 893984 898896 901824 913536 921921 943104 972576 973804 976976 983808 1005732 1021696 1025024 1030656 1048712 1053624 1065792 1099098 1100288 1116544 1124352 1134672 1149408 1153152 1179801 1198528 1202432 1218048 1229228 1235982 1237824 1256112 1296768 1311744 1317888 1340976 1348344 1352736 1374208 1404832 1414656 1419264 1421056 1441979 1460706 1465464 1512896 1532544 1537536 1545984 1573068 1580436 1598688 1624064 1647976 1650432 1674816 1677312 1702008 1704157 1729024 1787968 1797792 1803648 1827072 1843842 1853973 1886208 1945152 1947608 1953952 1967616 2011464 2043392 2050048 2061312 2097424 2107248 2131584 2191059 2198196 2200576 2233088 2269344 2298816 2306304 2359602 2397056 2404864 2436096 2458456 2471964 2475648 2512224 2593536 2623488 2635776 2677961 2681952 2696688 2705472 2765763 2809664 2829312 2842112 2883958 2921412 2930928 3025792 3065088 3075072 3091968 3146136 3160872 3197376 3295952 3300864 3349632 3404016 3408314 3458048 3575936 3595584 3607296 3654144 3687684 3707946 3890304 3895216 3907904 3935232 4022928 4086784 4122624 4194848 4214496 4263168 4325937 4382118 4396392 4401152 4466176 4538688 4597632 4612608 4719204 4794112 4809728 4872192 4916912 4943928 4951296 5024448 5112471 5187072 5355922 5363904 5393376 5410944 5531526 5619328 5658624 5684224 5767916 5842824 5861856 6051584 6130176 6150144 6183936 6292272 6321744 6394752 6591904 6601728 6699264 6808032 6816628 6916096 7151872 7191168 7214592 7308288 7375368 7415892 7780608 7790432 7815808 7870464 8033883 8045856 8173568 8389696 8428992 8526336 8651874 8764236 8792784 8932352 9077376 9195264 9225216 9438408 9588224 9619456 9833824 9887856 9902592 10048896 10224942 10374144 10711844 10727808 10786752 10821888 11063052 11238656 11368448 11535832 11685648 11723712 12103168 12260352 12367872 12584544 12643488 12789504 12977811 13183808 13203456 13398528 13616064 13633256 14303744 14382336 14429184 14616576 14750736 14831784 15337413 15561216 15580864 15631616 16067766 16091712 16779392 16857984 17052672 17303748 17528472 17585568 17864704 18154752 18390528 18450432 18745727 18876816 19176448 19667648 19775712 19805184 20097792 20449884 20748288 21423688 21455616 21573504 21643776 22126104 22477312 23071664 23371296 23447424 24101649 24206336 24520704 25169088 25286976 25579008 25955622 26367616 26797056 27232128 27266512 28607488 28764672 28858368 29501472 29663568 30674826 31122432 31161728 31263232 32135532 32183424 33558784 33715968 34105344 34607496 35056944 35171136 36309504 36781056 37491454 37753632 38352896 39335296 39551424 39610368 40195584 40899768 42847376 42911232 43147008 43287552 44252208 44954624 46143328 46742592 46894848 48203298 48412672 50338176 50573952 51158016 51911244 52735232 53594112 54464256 54533024 56237181 57214976 57529344 59002944 59327136 61349652 62244864 62323456 62526464 64271064 64366848 67117568 67431936 69214992 70113888 70342272 72619008 73562112 74982908 75507264 78670592 79102848 80391168 81799536 85694752 85822464 86294016 86575104 88504416 89909248 92286656 93485184 93789696 96406596 100676352 101147904 102316032 103822488 105470464 108928512 109066048 112474362 115058688 118005888 118654272 122699304 124646912 125052928 128542128 128733696 134235136 134863872 138429984 140227776 140684544 145238016 149965816 151014528 157341184 158205696 160782336 163599072 168711543 171389504 171644928 172588032 177008832 184573312 186970368 187579392 192813192 201352704 202295808 207644976 210940928 217857024 218132096 224948724 236011776 237308544 245398608 249293824 257084256 257467392 268470272 269727744 276859968 280455552 281369088 299931632 302029056 314682368 316411392 327198144 337423086 342779008 345176064 354017664 369146624 373940736 375158784 385626384 402705408 404591616 415289952 421881856 435714048 436264192 449897448 472023552 474617088 490797216 498587648 514168512 514934784 553719936 560911104 562738176 599863264 604058112 629364736 632822784 654396288 674846172 685558016 708035328 738293248 747881472 771252768 805410816 809183232 830579904 872528384 899794896 944047104 949234176 981594432 1028337024 1107439872 1121822208 1125476352 1199726528 1208116224 1265645568 1308792576 1349692344 1371116032 1416070656 1476586496 1495762944 1542505536 1661159808 1745056768 1799589792 1888094208 1898468352 1963188864 2056674048 2214879744 2243644416 2399453056 2416232448 2617585152 2699384688 2742232064 2832141312 2953172992 3085011072 3322319616 3490113536 3599179584 3796936704 3926377728 4113348096 4429759488 4487288832 4798906112 5235170304 5398769376 5484464128 5664282624 6170022144 6644639232 7198359168 7852755456 8226696192 8859518976 9597812224 10470340608 10797538752 12340044288 13289278464 14396718336 15705510912 16453392384 19195624448 21595077504 24680088576 26578556928 28793436672 31411021824 38391248896 43190155008 49360177152 57586873344 86380310016 115173746688 172760620032 345521240064
• Sum of all divisors σ(n): 1366277552640
• Sum of proper divisors (its aliquot sum) s(n): 1020756312576
• 345521240064 is an abundant number, because the sum of its proper divisors (1020756312576) is greater than itself. Its abundance is 675235072512

Bases of 345521240064

• Binary: 101000001110010101010111011100000000000₂
• Hexadecimal: 0x5072ABB800
• Base-36: 4EQAFB40

Squares and roots of 345521240064

• 345521240064 squared (345521240064²) is 119384927335364318724096
• 345521240064 cubed (345521240064³) is 41250028137865610606768184197382144
• The square root of 345521240064 is 587810.5477651791
• The cube root of 345521240064 is 7017.1094398905

Scales and comparisons

• 345,521,240,064 seconds is equal to 10,986 years, 26 weeks, 2 days, 10 hours, 14 minutes, 24 seconds.
• To count from 1 to 345,521,240,064 would take you about twenty-one thousand, nine hundred seventy-three 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 345521240064 cubic inches would be around 584.8 feet tall.

Recreational maths with 345521240064

• 345521240064 backwards is 460042125543
• 345521240064 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 345521240064's digits is 36
• More coming soon!