34049642400

Names of 34049642400

• Cardinal: 34049642400 can be written as Thirty-four billion, forty-nine million, six hundred forty-two thousand, four hundred.

Scientific notation

• Scientific notation: 3.40496424 × 10¹⁰

Factors of 34049642400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 873

Divisors of 34049642400

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 60 72 75 80 87 90 96 100 116 120 144 145 150 160 174 180 200 225 232 240 261 288 290 300 313 348 360 400 435 450 464 480 521 522 580 600 626 696 720 725 800 870 900 928 939 1042 1044 1160 1200 1252 1305 1392 1440 1450 1563 1565 1740 1800 1878 2084 2088 2175 2320 2400 2504 2605 2610 2784 2817 2900 3126 3130 3480 3600 3756 4168 4176 4350 4640 4689 4695 5008 5210 5220 5634 5800 6252 6260 6525 6960 7200 7512 7815 7825 8336 8352 8700 9077 9378 9390 10016 10420 10440 11268 11600 12504 12520 13025 13050 13920 14085 15024 15109 15630 15650 16672 17400 18154 18756 18780 20840 20880 22536 23200 23445 23475 25008 25040 26050 26100 27231 28170 30048 30218 31260 31300 34800 36308 37512 37560 39075 41680 41760 45072 45327 45385 46890 46950 50016 50080 52100 52200 54462 56340 60436 62520 62600 69600 70425 72616 75024 75120 75545 78150 81693 83360 90144 90654 90770 93780 93900 104200 104400 108924 112680 117225 120872 125040 125200 135981 136155 140850 145232 150048 150240 151090 156300 163073 163386 181308 181540 187560 187800 208400 208800 217848 225360 226635 226925 234450 241744 250080 250400 271962 272310 281700 290464 302180 312600 326146 326772 362616 363080 375120 375600 377725 408465 416800 435696 450720 453270 453850 468900 483488 489219 543924 544620 563400 604360 625200 652292 653544 679905 680775 725232 726160 750240 751200 755450 815365 816930 871392 906540 907700 937800 978438 1087848 1089240 1126800 1133175 1208720 1250400 1304584 1307088 1359810 1361550 1450464 1452320 1467657 1510900 1630730 1633860 1813080 1815400 1875600 1956876 2042325 2175696 2178480 2253600 2266350 2417440 2446095 2609168 2614176 2719620 2723100 2935314 3021800 3261460 3267720 3399525 3626160 3630800 3751200 3913752 4076825 4084650 4351392 4356960 4532700 4729117 4892190 5218336 5439240 5446200 5870628 6043600 6522920 6535440 6799050 7252320 7261600 7338285 7827504 8153650 8169300 9065400 9458234 9784380 10878480 10892400 11741256 12087200 12230475 13045840 13070880 13598100 14187351 14676570 15655008 16307300 16338600 18130800 18916468 19568760 21756960 21784800 23482512 23645585 24460950 26091680 27196200 28374702 29353140 32614600 32677200 36261600 36691425 37832936 39137520 42562053 46965024 47291170 48921900 54392400 56749404 58706280 65229200 65354400 70936755 73382850 75665872 78275040 85124106 94582340 97843800 108784800 113498808 117412560 118227925 130458400 141873510 146765700 151331744 170248212 189164680 195687600 212810265 226997616 234825120 236455850 283747020 293531400 340496424 354683775 378329360 391375200 425620530 453995232 472911700 567494040 587062800 680992848 709367550 756658720 851241060 945823400 1064051325 1134988080 1174125600 1361985696 1418735100 1702482120 1891646800 2128102650 2269976160 2837470200 3404964240 3783293600 4256205300 5674940400 6809928480 8512410600 11349880800 17024821200 34049642400
• Sum of all divisors σ(n): 124843806360
• Sum of proper divisors (its aliquot sum) s(n): 90794163960
• 34049642400 is an abundant number, because the sum of its proper divisors (90794163960) is greater than itself. Its abundance is 56744521560

Bases of 34049642400

• Binary: 11111101101100001000100111110100000₂
• Hexadecimal: 0x7ED844FA0
• Base-36: FN4A080

Squares and roots of 34049642400

• 34049642400 squared (34049642400²) is 1159378147567877760000
• 34049642400 cubed (34049642400³) is 39476411331060667454913024000000
• The square root of 34049642400 is 184525.4519029827
• The cube root of 34049642400 is 3241.1877218439

Scales and comparisons

• 34,049,642,400 seconds is equal to 1,082 years, 35 weeks, 2 hours.
• To count from 1 to 34,049,642,400 would take you about two thousand, one hundred sixty-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 34049642400 cubic inches would be around 270.1 feet tall.

Recreational maths with 34049642400

• 34049642400 backwards is 00424694043
• 34049642400 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 34049642400's digits is 36
• More coming soon!