345468867819600

Names of 345468867819600

• Cardinal: 345468867819600 can be written as Three hundred forty-five trillion, four hundred sixty-eight billion, eight hundred sixty-seven million, eight hundred nineteen thousand, six hundred.

Scientific notation

• Scientific notation: 3.454688678196 × 10¹⁴

Factors of 345468867819600

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 847

Divisors of 345468867819600

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 331 336 350 400 420 499 525 560 600 662 700 840 993 998 1050 1200 1324 1400 1497 1655 1680 1986 1996 2100 2317 2495 2648 2800 2994 3310 3493 3972 3992 4200 4634 4965 4990 5296 5988 6620 6951 6986 7485 7944 7984 8275 8400 9268 9930 9980 10479 11585 11976 12475 13240 13902 13972 14970 15888 16550 17465 18536 19860 19960 20958 23170 23952 24825 24950 26480 27804 27944 29940 33100 34755 34930 37072 37425 39720 39920 41916 46340 49650 49900 52395 55608 55888 57925 59880 66200 69510 69860 74850 79440 83832 87325 92680 99300 99800 104790 111216 115850 119760 132400 139020 139720 149700 165169 167664 173775 174650 185360 198600 199600 209580 231700 249001 261975 278040 279440 299400 330338 347550 349300 397200 419160 463400 495507 498002 523950 556080 598800 660676 695100 698600 747003 825845 838320 926800 991014 996004 1047900 1156183 1245005 1321352 1390200 1397200 1494006 1651690 1743007 1982028 1992008 2095800 2312366 2477535 2490010 2642704 2780400 2988012 3303380 3468549 3486014 3735015 3964056 3984016 4129225 4191600 4624732 4955070 4980020 5229021 5780915 5976024 6225025 6606760 6937098 6972028 7470030 7928112 8258450 8715035 9249464 9910140 9960040 10458042 11561830 11952048 12387675 12450050 13213520 13874196 13944056 14940060 16516900 17342745 17430070 18498928 18675075 19820280 19920080 20916084 23123660 24775350 24900100 26145105 27748392 27888112 28904575 29880120 33033800 34685490 34860140 37350150 39640560 41832168 43575175 46247320 49550700 49800200 52290210 55496784 57809150 59760240 66067600 69370980 69720280 74700300 82419331 83664336 86713725 87150350 92494640 99101400 99600400 104580420 115618300 124251499 130725525 138741960 139440560 149400600 164838662 173427450 174300700 198202800 209160840 231236600 247257993 248502998 261451050 277483920 298801200 329677324 346854900 348601400 372754497 412096655 418321680 462473200 494515986 497005996 522902100 576935317 621257495 659354648 693709800 697202800 745508994 824193310 869760493 989031972 994011992 1045804200 1153870634 1236289965 1242514990 1318709296 1387419600 1491017988 1648386620 1730805951 1739520986 1863772485 1978063944 1988023984 2060483275 2091608400 2307741268 2472579930 2485029980 2609281479 2884676585 2982035976 3106287475 3296773240 3461611902 3479041972 3727544970 3956127888 4120966550 4348802465 4615482536 4945159860 4970059960 5218562958 5769353170 5964071952 6181449825 6212574950 6593546480 6923223804 6958083944 7455089940 8241933100 8654029755 8697604930 9230965072 9318862425 9890319720 9940119920 10437125916 11538706340 12362899650 12425149900 13046407395 13846447608 13916167888 14423382925 14910179880 16483866200 17308059510 17395209860 18637724850 19780639440 20874251832 21744012325 23077412680 24725799300 24850299800 26092814790 27692895216 28846765850 29820359760 32967732400 34616119020 34790419720 37275449700 41127246169 41748503664 43270148775 43488024650 46154825360 49451598600 49700599600 52185629580 57693531700 65232036975 69232238040 69580839440 74550899400 82254492338 86540297550 86976049300 98903197200 104371259160 115387063400 123381738507 130464073950 138464476080 149101798800 164508984676 173080595100 173952098600 205636230845 208742518320 230774126800 246763477014 260928147900 287890723183 329017969352 346161190200 347904197200 411272461690 493526954028 521856295800 575781446366 616908692535 658035938704 692322380400 822544923380 863672169549 987053908056 1028181154225 1043712591600 1151562892732 1233817385070 1439453615915 1645089846760 1727344339098 1974107816112 2056362308450 2303125785464 2467634770140 2878907231830 3084543462675 3290179693520 3454688678196 4112724616900 4318360847745 4606251570928 4935269540280 5757814463660 6169086925350 6909377356392 7197268079575 8225449233800 8636721695490 9870539080560 11515628927320 12338173850700 13818754712784 14394536159150 16450898467600 17273443390980 21591804238725 23031257854640 24676347701400 28789072318300 34546886781960 43183608477450 49352695402800 57578144636600 69093773563920 86367216954900 115156289273200 172734433909800 345468867819600
• Sum of all divisors σ(n): 1271113377664000
• Sum of proper divisors (its aliquot sum) s(n): 925644509844400
• 345468867819600 is an abundant number, because the sum of its proper divisors (925644509844400) is greater than itself. Its abundance is 580175642024800

Bases of 345468867819600

• Binary: 1001110100011001110111101001001011011100001010000₂
• Hexadecimal: 0x13A33BD25B850
• Base-36: 3EGI7G5OPC

Squares and roots of 345468867819600

• 345468867819600 squared (345468867819600²) is 119348738632556256458144160000
• 345468867819600 cubed (345468867819600³) is 41231273611086565415599603670961673536000000
• The square root of 345468867819600 is 18586792.8330737039
• The cube root of 345468867819600 is 70167.5488345277

Scales and comparisons

• 345,468,867,819,600 seconds is equal to 10,984,841 years, 20 weeks, 2 days, 10 hours, 20 minutes.
• To count from 1 to 345,468,867,819,600 would take you about twenty-seven million, four hundred sixty-two thousand, one hundred 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 345468867819600 cubic inches would be around 5847.3 feet tall.

Recreational maths with 345468867819600

• 345468867819600 backwards is 006918768864543
• 345468867819600 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 345468867819600's digits is 75
• More coming soon!