34381946401200

Names of 34381946401200

• Cardinal: 34381946401200 can be written as Thirty-four trillion, three hundred eighty-one billion, nine hundred forty-six million, four hundred one thousand, two hundred.

Scientific notation

• Scientific notation: 3.43819464012 × 10¹³

Factors of 34381946401200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2726543

Divisors of 34381946401200

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 36 40 45 48 50 60 62 72 75 80 90 93 100 113 120 124 144 150 155 180 186 200 225 226 240 248 279 300 310 339 360 372 400 450 452 465 496 558 565 600 620 678 720 744 775 900 904 930 1017 1116 1130 1200 1240 1356 1395 1488 1550 1695 1800 1808 1860 2034 2232 2260 2325 2480 2712 2790 2825 3100 3390 3503 3600 3720 4068 4464 4520 4650 5085 5424 5580 5650 6200 6780 6975 7006 7440 8136 8475 9040 9300 10170 10509 11160 11300 12400 13560 13950 14012 16272 16950 17515 18600 20340 21018 22320 22600 25425 27120 27900 28024 31527 33900 35030 37200 40680 42036 45200 50850 52545 55800 56048 63054 67800 70060 81360 84072 87575 101700 105090 111600 126108 135600 140120 157635 168144 175150 203400 210180 252216 262725 280240 315270 350300 406800 420360 504432 525450 630540 700600 788175 840720 1050900 1261080 1401200 1576350 2101800 2522160 2726389 3152700 4203600 5452778 6305400 8179167 10905556 12610800 13631945 16358334 21811112 24537501 27263890 32716668 40895835 43622224 49075002 54527780 65433336 68159725 81791670 84518059 98150004 109055560 122687505 130866672 136319450 163583340 169036118 196300008 204479175 218111120 245375010 253554177 272638900 308081957 327166680 338072236 392600016 408958350 422590295 490750020 507108354 545277800 613437525 616163914 654333360 676144472 760662531 817916700 845180590 924245871 981500040 1014216708 1090555600 1226875050 1232327828 1267770885 1352288944 1521325062 1540409785 1635833400 1690361180 1848491742 1963000080 2028433416 2112951475 2453750100 2464655656 2535541770 2772737613 3042650124 3080819570 3271666800 3380722360 3696983484 3803312655 4056866832 4225902950 4621229355 4907500200 4929311312 5071083540 5545475226 6085300248 6161639140 6338854425 6761444720 7393966968 7606625310 7702048925 8451805900 9242458710 9550540667 9815000400 10142167080 11090950452 12170600496 12323278280 12677708850 13863688065 14787933936 15213250620 15404097850 16903611800 18484917420 19016563275 19101081334 20284334160 22181900904 23106146775 24646556560 25355417700 27727376130 28651622001 30426501240 30808195700 33807223600 36969834840 38033126550 38202162668 44363801808 46212293550 47752703335 50710835400 55454752260 57303244002 60853002480 61616391400 69318440325 73939669680 76066253100 76404325336 85954866003 92424587100 95505406670 101421670800 110909504520 114606488004 123232782800 138636880650 143258110005 152132506200 152808650672 171909732006 184849174200 191010813340 221819009040 229212976008 238763516675 277273761300 286516220010 304265012400 343819464012 369698348400 382021626680 429774330015 458425952016 477527033350 554547522600 573032440020 687638928024 716290550025 764043253360 859548660030 955054066700 1109095045200 1146064880040 1375277856048 1432581100050 1719097320060 1910108133400 2148871650075 2292129760080 2865162200100 3438194640120 3820216266800 4297743300150 5730324400200 6876389280240 8595486600300 11460648800400 17190973200600 34381946401200
• Sum of all divisors σ(n): 124253762904960
• Sum of proper divisors (its aliquot sum) s(n): 89871816503760
• 34381946401200 is an abundant number, because the sum of its proper divisors (89871816503760) is greater than itself. Its abundance is 55489870102560

Bases of 34381946401200

• Binary: 111110100010100101011101100111011000110110000₂
• Hexadecimal: 0x1F452BB3B1B0
• Base-36: C6QUJ66K0

Squares and roots of 34381946401200

• 34381946401200 squared (34381946401200²) is 1182118238334989631361440000
• 34381946401200 cubed (34381946401200³) is 40643525910314580636026776664449728000000
• The square root of 34381946401200 is 5863612.0609399117
• The cube root of 34381946401200 is 32516.9761886191

Scales and comparisons

• 34,381,946,401,200 seconds is equal to 1,093,239 years, 28 weeks, 2 days, 11 hours.
• To count from 1 to 34,381,946,401,200 would take you about two million, seven hundred thirty-three thousand and ninety-eight 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 34381946401200 cubic inches would be around 2709.7 feet tall.

Recreational maths with 34381946401200

• 34381946401200 backwards is 00210464918343
• 34381946401200 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34381946401200's digits is 45
• More coming soon!