34728828406800

Names of 34728828406800

• Cardinal: 34728828406800 can be written as Thirty-four trillion, seven hundred twenty-eight billion, eight hundred twenty-eight million, four hundred six thousand, eight hundred.

Scientific notation

• Scientific notation: 3.47288284068 × 10¹³

Factors of 34728828406800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 4684

Divisors of 34728828406800

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 121 132 150 165 176 200 220 240 242 264 275 300 330 363 400 440 484 528 550 600 605 660 726 825 880 968 1100 1200 1210 1320 1331 1452 1650 1815 1936 2200 2420 2640 2662 2904 3025 3300 3630 3993 4400 4663 4840 5324 5808 6050 6600 6655 7260 7986 9075 9326 9680 10648 12100 13200 13310 13989 14520 15972 18150 18652 19965 21296 23315 24200 26620 27978 29040 31944 33275 36300 37304 39930 46630 48400 51293 53240 55956 63888 66550 69945 72600 74608 79860 93260 99825 102586 106480 111912 116575 133100 139890 145200 153879 159720 186520 199650 205172 223824 233150 256465 266200 279780 307758 319440 349725 373040 399300 410344 466300 512930 532400 559560 564223 615516 699450 769395 798600 820688 932600 1025860 1119120 1128446 1231032 1282325 1398900 1538790 1597200 1692669 1865200 2051720 2256892 2462064 2564650 2797800 2821115 3077580 3385338 3846975 4103440 4513784 5129300 5595600 5642230 6155160 6206453 6770676 7693950 8463345 9027568 10258600 11284460 12310320 12412906 13541352 14105575 15387900 16926690 18619359 20517200 21743569 22568920 24825812 27082704 28211150 30775800 31032265 33853380 37238718 42316725 43487138 45137840 49651624 56422300 61551600 62064530 65230707 67706760 74477436 84633450 86974276 93096795 99303248 108717845 112844600 124129060 130461414 135413520 148954872 155161325 169266900 173948552 186193590 217435690 225689200 239179259 248258120 260922828 297909744 310322650 326153535 338533800 347897104 372387180 434871380 465483975 478358518 496516240 521845656 543589225 620645300 652307070 677067600 717537777 744774360 869742760 930967950 956717036 1043691312 1087178450 1195896295 1241290600 1304614140 1435075554 1489548720 1630767675 1739485520 1861935900 1913434072 2174356900 2391792590 2482581200 2609228280 2630971849 2870151108 3261535350 3587688885 3723871800 3826868144 4348713800 4783585180 5218456560 5261943698 5740302216 5979481475 6523070700 7175377770 7447743600 7892915547 8697427600 9567170360 10523887396 11480604432 11958962950 13046141400 13154859245 14350755540 15785831094 17938444425 19134340720 21047774792 23917925900 26092282800 26309718490 28701511080 28940690339 31571662188 35876888850 39464577735 42095549584 47835851800 52619436980 57403022160 57881380678 63143324376 65774296225 71753777700 78929155470 86822071017 95671703600 105238873960 115762761356 126286648752 131548592450 143507555400 144703451695 157858310940 173644142034 197322888675 210477747920 231525522712 263097184900 287015110800 289406903390 315716621880 347288284068 394645777350 434110355085 463051045424 526194369800 578813806780 631433243760 694576568136 723517258475 789291554700 868220710170 1052388739600 1157627613560 1389153136272 1447034516950 1578583109400 1736441420340 2170551775425 2315255227120 2894069033900 3157166218800 3472882840680 4341103550850 5788138067800 6945765681360 8682207101700 11576276135600 17364414203400 34728828406800
• Sum of all divisors σ(n): 122390704002528
• Sum of proper divisors (its aliquot sum) s(n): 87661875595728
• 34728828406800 is an abundant number, because the sum of its proper divisors (87661875595728) is greater than itself. Its abundance is 52933047188928

Bases of 34728828406800

• Binary: 111111001010111101111011110110000110000010000₂
• Hexadecimal: 0x1F95EF7B0C10
• Base-36: CB67BRF2O

Squares and roots of 34728828406800

• 34728828406800 squared (34728828406800²) is 1206091522508958626286240000
• 34728828406800 cubed (34728828406800³) is 41886145528109783948055476899962432000000
• The square root of 34728828406800 is 5893117.0365775021
• The cube root of 34728828406800 is 32625.9658655993

Scales and comparisons

• 34,728,828,406,800 seconds is equal to 1,104,269 years, 16 weeks, 4 days, 11 hours, 40 minutes.
• To count from 1 to 34,728,828,406,800 would take you about two million, seven hundred sixty thousand, six 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 34728828406800 cubic inches would be around 2718.8 feet tall.

Recreational maths with 34728828406800

• 34728828406800 backwards is 00860482882743
• 34728828406800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34728828406800's digits is 60
• More coming soon!