34984128200

Names of 34984128200

• Cardinal: 34984128200 can be written as Thirty-four billion, nine hundred eighty-four million, one hundred twenty-eight thousand, two hundred.

Scientific notation

• Scientific notation: 3.49841282 × 10¹⁰

Factors of 34984128200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 589

Divisors of 34984128200

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 71 98 100 137 140 142 175 196 200 245 274 280 284 350 355 367 392 490 497 548 568 685 700 710 734 959 980 994 1096 1225 1370 1400 1420 1468 1775 1835 1918 1960 1988 2450 2485 2569 2740 2840 2936 3425 3479 3550 3670 3836 3976 4795 4900 4970 5138 5480 6713 6850 6958 7100 7340 7672 9175 9590 9727 9800 9940 10276 12425 12845 13426 13700 13916 14200 14680 17395 17983 18350 19180 19454 19880 20552 23975 24850 25690 26057 26852 27400 27832 33565 34790 35966 36700 38360 38908 47950 48635 49700 50279 51380 52114 53704 64225 67130 68089 69580 71932 73400 77816 86975 89915 95900 97270 99400 100558 102760 104228 128450 130285 134260 136178 139160 143864 167825 173950 179830 182399 191800 194540 201116 208456 243175 251395 256900 260570 268520 272356 335650 340445 347900 351953 359660 364798 389080 402232 449575 476623 486350 502790 513800 521140 544712 651425 671300 680890 695800 703906 719320 729596 899150 911995 953246 972700 1005580 1042280 1256975 1276793 1302850 1342600 1361780 1407812 1459192 1702225 1759765 1798300 1823990 1906492 1945400 2011160 2383115 2463671 2513950 2553586 2605700 2723560 2815624 3404450 3519530 3569809 3596600 3647980 3812984 4559975 4766230 4927342 5027900 5107172 5211400 6383965 6808900 7039060 7139618 7295960 8798825 9119950 9532460 9854684 10055800 10214344 11915575 12318355 12767930 13617800 14078120 14279236 17597650 17849045 18239900 19064920 19709368 23831150 24636710 24988663 25535860 28558472 31919825 35195300 35698090 36479800 47662300 49273420 49977326 51071720 61591775 63839650 70390600 71396180 89245225 95324600 98546840 99954652 123183550 124943315 127679300 142792360 174920641 178490450 199909304 246367100 249886630 255358600 349841282 356980900 492734200 499773260 624716575 699682564 713961800 874603205 999546520 1249433150 1399365128 1749206410 2498866300 3498412820 4373016025 4997732600 6996825640 8746032050 17492064100 34984128200
• Sum of all divisors σ(n): 96914154240
• Sum of proper divisors (its aliquot sum) s(n): 61930026040
• 34984128200 is an abundant number, because the sum of its proper divisors (61930026040) is greater than itself. Its abundance is 26945897840

Bases of 34984128200

• Binary: 100000100101001101110110111011001000₂
• Hexadecimal: 0x825376EC8
• Base-36: G2KNA2W

Squares and roots of 34984128200

• 34984128200 squared (34984128200²) is 1223889225914035240000
• 34984128200 cubed (34984128200³) is 42816697581975371015477768000000
• The square root of 34984128200 is 187040.4453587513
• The cube root of 34984128200 is 3270.5717810445

Scales and comparisons

• 34,984,128,200 seconds is equal to 1,112 years, 20 weeks, 21 hours, 23 minutes, 20 seconds.
• To count from 1 to 34,984,128,200 would take you about two thousand, two hundred twenty-four 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 34984128200 cubic inches would be around 272.5 feet tall.

Recreational maths with 34984128200

• 34984128200 backwards is 00282148943
• The number of decimal digits it has is: 11
• The sum of 34984128200's digits is 41
• More coming soon!