348105200006304

Names of 348105200006304

• Cardinal: 348105200006304 can be written as Three hundred forty-eight trillion, one hundred five billion, two hundred million, six thousand, three hundred four.

Scientific notation

• Scientific notation: 3.48105200006304 × 10¹⁴

Factors of 348105200006304

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 4268

Divisors of 348105200006304

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 73 78 96 104 117 144 146 156 208 219 234 288 292 312 416 438 468 584 624 657 876 936 949 1168 1248 1314 1752 1872 1898 2336 2628 2847 3504 3744 3796 4177 5256 5329 5694 7008 7592 8354 8541 10512 10658 11388 12531 15184 15987 16708 17082 21024 21316 22776 25062 30368 31974 33416 34164 37593 42632 45552 47961 50124 54301 63948 66832 68328 69277 75186 85264 91104 95922 100248 108602 127896 133664 136656 138554 150372 162903 170528 191844 200496 207831 217204 255792 273312 277108 300744 304921 325806 383688 400992 415662 434408 488709 511584 554216 601488 609842 623493 651612 767376 831324 868816 914763 977418 1108432 1202976 1219684 1246986 1303224 1534752 1662648 1737632 1829526 1954836 2216864 2439368 2493972 2606448 2744289 3325296 3659052 3909672 3963973 4878736 4987944 5212896 5488578 6650592 7318104 7819344 7927946 9757472 9975888 10977156 11891919 14636208 15638688 15855892 17447329 19951776 21954312 22259233 23783838 29272416 31711784 34894658 35675757 43908624 44518466 47567676 52341987 63423568 66777699 69789316 71351514 87817248 89036932 95135352 104683974 126847136 133555398 139578632 142703028 157025961 178073864 190270704 200333097 209367948 226815277 267110796 279157264 285406056 289370029 314051922 356147728 380541408 400666194 418735896 453630554 534221592 558314528 570812112 578740058 628103844 680445831 712295456 801332388 837471792 868110087 907261108 1068443184 1141624224 1157480116 1256207688 1273655017 1360891662 1602664776 1674943584 1736220174 1814522216 2041337493 2136886368 2314960232 2512415376 2547310034 2604330261 2721783324 3205329552 3472440348 3629044432 3820965051 4082674986 4629920464 5024830752 5094620068 5208660522 5443566648 6410659104 6944880696 7258088864 7641930102 8165349972 9259840928 10189240136 10417321044 10887133296 11462895153 13889761392 15283860204 16330699944 16557515221 20378480272 20834642088 21774266592 22925790306 27779522784 30567720408 32661399888 33115030442 40756960544 41669284176 45851580612 49672545663 61135440816 65322799776 66230060884 83338568352 91703161224 92976816241 99345091326 122270881632 132460121768 149017636989 183406322448 185953632482 198690182652 264920243536 278930448723 298035273978 366812644896 371907264964 397380365304 529840487072 557860897446 596070547956 743814529928 794760730608 836791346169 1115721794892 1192141095912 1208698611133 1487629059856 1589521461216 1673582692338 2231443589784 2384282191824 2417397222266 2975258119712 3347165384676 3626095833399 4462887179568 4768564383648 4834794444532 6694330769352 7252191666798 8925774359136 9669588889064 10878287500197 13388661538704 14504383333596 19339177778128 21756575000394 26777323077408 29008766667192 38678355556256 43513150000788 58017533334384 87026300001576 116035066668768 174052600003152 348105200006304
• Sum of all divisors σ(n): 1081134784952586
• Sum of proper divisors (its aliquot sum) s(n): 733029584946282
• 348105200006304 is an abundant number, because the sum of its proper divisors (733029584946282) is greater than itself. Its abundance is 384924384939978

Bases of 348105200006304

• Binary: 1001111001001100110001110110010100111010010100000₂
• Hexadecimal: 0x13C998ECA74A0
• Base-36: 3FE5BK9UW0

Squares and roots of 348105200006304

• 348105200006304 squared (348105200006304²) is 121177230271428910361639740416
• 348105200006304 cubed (348105200006304³) is 42182423979845716386851762016379540123582464
• The square root of 348105200006304 is 18657577.5492507065
• The cube root of 348105200006304 is 70345.5835952021

Scales and comparisons

• 348,105,200,006,304 seconds is equal to 11,068,668 years, 31 weeks, 1 day, 10 hours, 38 minutes, 24 seconds.
• To count from 1 to 348,105,200,006,304 would take you about twenty-seven million, six hundred seventy-one thousand, six hundred seventy-one 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 348105200006304 cubic inches would be around 5862.1 feet tall.

Recreational maths with 348105200006304

• 348105200006304 backwards is 403600002501843
• 348105200006304 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 348105200006304's digits is 36
• More coming soon!