345984034131456

Names of 345984034131456

• Cardinal: 345984034131456 can be written as Three hundred forty-five trillion, nine hundred eighty-four billion, thirty-four million, one hundred thirty-one thousand, four hundred fifty-six.

Scientific notation

• Scientific notation: 3.45984034131456 × 10¹⁴

Factors of 345984034131456

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 4874879

Divisors of 345984034131456

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 41 42 46 48 49 56 64 69 82 84 92 96 98 112 123 128 138 147 161 164 168 184 192 196 224 246 256 276 287 294 322 328 336 368 384 392 448 483 492 512 552 574 588 644 656 672 736 768 784 861 896 943 966 984 1104 1127 1148 1176 1288 1312 1344 1472 1536 1568 1722 1792 1886 1932 1968 2009 2208 2254 2296 2352 2576 2624 2688 2829 2944 3136 3381 3444 3584 3772 3864 3936 4018 4416 4508 4592 4704 5152 5248 5376 5658 5888 6027 6272 6601 6762 6888 7544 7728 7872 8036 8832 9016 9184 9408 10304 10496 10752 11316 11776 12054 12544 13202 13524 13776 15088 15456 15744 16072 17664 18032 18368 18816 19803 20608 20992 22632 24108 25088 26404 27048 27552 30176 30912 31488 32144 35328 36064 36736 37632 39606 41216 45264 46207 48216 52808 54096 55104 60352 61824 62976 64288 72128 73472 75264 79212 82432 90528 92414 96432 105616 108192 110208 120704 123648 128576 138621 144256 146944 158424 181056 184828 192864 211232 216384 220416 241408 247296 257152 277242 288512 316848 362112 369656 385728 422464 432768 440832 482816 514304 554484 577024 633696 724224 739312 771456 844928 865536 1028608 1108968 1267392 1448448 1478624 1542912 1689856 1731072 2217936 2534784 2957248 3085824 3379712 4435872 4874803 5069568 5914496 8871744 9749606 10139136 11828992 14624409 17743488 19499212 23657984 29248818 34123621 35486976 38998424 58497636 68247242 70973952 77996848 102370863 112120469 116995272 136494484 155993696 199866923 204741726 224240938 233990544 238865347 272988968 311987392 336361407 399733846 409483452 448481876 467981088 477730694 545977936 599600769 623974784 672722814 716596041 784843283 799467692 818966904 896963752 935962176 955461388 1091955872 1199201538 1247949568 1345445628 1399068461 1433192082 1569686566 1598935384 1637933808 1793927504 1871924352 1910922776 2183911744 2354529849 2398403076 2495899136 2690891256 2798136922 2866384164 3139373132 3197870768 3275867616 3587855008 3743848704 3821845552 4197205383 4367823488 4596939229 4709059698 4796806152 5381782512 5493902981 5596273844 5732768328 6278746264 6395741536 6551735232 7175710016 7487697408 7643691104 8394410766 8735646976 9193878458 9418119396 9593612304 9793479227 10763565024 10987805962 11192547688 11465536656 12557492528 12791483072 13103470464 13790817687 14351420032 15287382208 16481708943 16788821532 17471293952 18387756916 18836238792 19187224608 19586958454 21527130048 21975611924 22385095376 22931073312 25114985056 25582966144 26206940928 27581635374 28702840064 29380437681 30574764416 32178574603 32963417886 33577643064 36775513832 37672477584 38374449216 39173916908 43054260096 43951223848 44770190752 45862146624 50229970112 51165932288 52413881856 55163270748 57405680128 58760875362 61149528832 64357149206 65926835772 67155286128 73551027664 75344955168 76748898432 78347833816 86108520192 87902447696 89540381504 91724293248 96535723809 100459940224 102331864576 110326541496 117521750724 122299057664 128714298412 131853671544 134310572256 147102055328 150689910336 153497796864 156695667632 172217040384 175804895392 179080763008 183448586496 193071447618 200919880448 220653082992 225250022221 235043501448 257428596824 263707343088 268621144512 294204110656 301379820672 306995593728 313391335264 351609790784 358161526016 366897172992 386142895236 401839760896 441306165984 450500044442 470087002896 514857193648 527414686176 537242289024 588408221312 602759641344 626782670528 675750066663 703219581568 716323052032 772285790472 882612331968 901000088884 940174005792 1029714387296 1054829372352 1074484578048 1176816442624 1205519282688 1253565341056 1351500133326 1406439163136 1544571580944 1765224663936 1802000177768 1880348011584 2059428774592 2109658744704 2148969156096 2353632885248 2507130682112 2703000266652 2812878326272 3089143161888 3530449327872 3604000355536 3760696023168 4118857549184 4219317489408 5014261364224 5406000533304 6178286323776 7060898655744 7208000711072 7521392046336 8237715098368 8438634978816 10812001066608 12356572647552 14416001422144 15042784092672 16475430196736 21624002133216 24713145295104 28832002844288 43248004266432 49426290590208 57664005688576 86496008532864 115328011377152 172992017065728 345984034131456
• Sum of all divisors σ(n): 1146114934449408
• Sum of proper divisors (its aliquot sum) s(n): 800130900317952
• 345984034131456 is an abundant number, because the sum of its proper divisors (800130900317952) is greater than itself. Its abundance is 454146866186496

Bases of 345984034131456

• Binary: 1001110101010101110101111011100111100111000000000₂
• Hexadecimal: 0x13AABAF73CE00
• Base-36: 3EN2VCVMYO

Squares and roots of 345984034131456

• 345984034131456 squared (345984034131456²) is 119704951873876510364288679936
• 345984034131456 cubed (345984034131456³) is 41416002154835588427211717571240074533666816
• The square root of 345984034131456 is 18600646.0675820613
• The cube root of 345984034131456 is 70202.4096739331

Scales and comparisons

• 345,984,034,131,456 seconds is equal to 11,001,222 years, 4 weeks, 3 days, 11 hours, 37 minutes, 36 seconds.
• To count from 1 to 345,984,034,131,456 would take you about twenty-seven million, five hundred three thousand and fifty-five 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 345984034131456 cubic inches would be around 5850.2 feet tall.

Recreational maths with 345984034131456

• 345984034131456 backwards is 654131430489543
• The number of decimal digits it has is: 15
• The sum of 345984034131456's digits is 60
• More coming soon!