13137986400

Names of 13137986400

• Cardinal: 13137986400 can be written as Thirteen billion, one hundred thirty-seven million, nine hundred eighty-six thousand, four hundred.

Scientific notation

• Scientific notation: 1.31379864 × 10¹⁰

Factors of 13137986400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 332

Divisors of 13137986400

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 23 24 25 28 30 32 33 35 40 42 44 46 48 50 55 56 60 66 69 70 75 77 80 84 88 92 96 100 105 110 112 115 120 121 132 138 140 150 154 160 161 165 168 175 176 184 200 210 220 224 230 231 240 242 253 264 275 276 280 281 300 308 322 330 336 345 350 352 363 368 385 400 420 440 460 462 480 483 484 506 525 528 550 552 560 562 575 600 605 616 644 660 672 690 700 726 736 759 770 800 805 825 840 843 847 880 920 924 966 968 1012 1050 1056 1100 1104 1120 1124 1150 1155 1200 1210 1232 1265 1288 1320 1380 1400 1405 1452 1518 1540 1610 1650 1680 1686 1694 1725 1760 1771 1815 1840 1848 1925 1932 1936 1967 2024 2100 2200 2208 2248 2300 2310 2400 2415 2420 2464 2530 2541 2576 2640 2760 2783 2800 2810 2904 3025 3036 3080 3091 3220 3300 3360 3372 3388 3450 3542 3630 3680 3696 3795 3850 3864 3872 3934 4025 4048 4200 4215 4235 4400 4496 4600 4620 4830 4840 5060 5082 5152 5280 5313 5520 5566 5600 5620 5775 5808 5901 6050 6072 6160 6182 6325 6440 6463 6600 6744 6776 6900 7025 7084 7260 7392 7590 7700 7728 7868 8050 8096 8349 8400 8430 8470 8800 8855 8992 9075 9200 9240 9273 9660 9680 9835 10120 10164 10626 11040 11132 11240 11550 11616 11802 12075 12100 12144 12320 12364 12650 12705 12880 12926 13200 13488 13552 13800 13915 14050 14168 14520 15180 15400 15455 15456 15736 16100 16698 16800 16860 16940 17710 18150 18400 18480 18546 18975 19320 19360 19389 19481 19670 20240 20328 21075 21175 21252 21637 22264 22480 23100 23604 24150 24200 24288 24728 25300 25410 25760 25852 26400 26565 26976 27104 27600 27830 28100 28336 29040 29505 30360 30800 30910 31472 32200 32315 33396 33720 33880 34001 35420 36300 36960 37092 37950 38640 38778 38962 39340 40480 40656 41745 42150 42350 42504 43274 44275 44528 44960 45241 46200 46365 47208 48300 48400 49175 49456 50600 50820 51704 53130 55200 55660 56200 56672 58080 58443 59010 60720 61600 61820 62944 63525 64400 64630 64911 66792 67440 67760 68002 69575 70840 71093 72600 74184 75900 77275 77280 77556 77924 78680 81312 83490 84300 84700 85008 86548 88550 89056 90482 92400 92730 94416 96600 96800 96945 97405 98350 98912 101200 101640 102003 103408 106260 108185 111320 112400 116886 118020 121440 123640 127050 128800 129260 129822 132825 133584 134880 135520 135723 136004 139150 141680 142186 145200 147525 148368 151800 154550 155112 155848 157360 161575 166980 168600 169400 170005 170016 173096 177100 180964 184800 185460 188832 193200 193890 194810 196700 202400 203280 204006 206816 208725 212520 213279 216370 222640 224800 226205 231825 233772 236040 238007 247280 254100 258520 259644 265650 267168 271446 272008 278300 283360 284372 290400 292215 295050 296736 303600 309100 310224 311696 314720 323150 324555 333960 337200 338800 340010 346192 354200 355465 361928 370920 386400 387780 389620 393400 406560 408012 417450 425040 426558 432740 445280 452410 463650 467544 472080 476014 484725 487025 494560 497651 508200 510015 517040 519288 531300 540925 542892 544016 556600 568744 584430 590100 607200 618200 620448 623392 646300 649110 667920 674400 677600 678615 680020 692384 708400 710930 714021 723856 741840 775560 779240 782023 786800 816024 834900 850025 850080 853116 865480 904820 927300 935088 944160 952028 969450 974050 995302 1016400 1020030 1034080 1038576 1062600 1066395 1081850 1085784 1088032 1113200 1131025 1137488 1168860 1180200 1190035 1236400 1292600 1298220 1335840 1357230 1360040 1416800 1421860 1428042 1447712 1461075 1483680 1492953 1551120 1558480 1564046 1573600 1622775 1632048 1669800 1700050 1706232 1730960 1777325 1809640 1854600 1870176 1904056 1938900 1948100 1990604 2032800 2040060 2077152 2125200 2132790 2163700 2171568 2226400 2262050 2274976 2337720 2346069 2360400 2380070 2472800 2488255 2550075 2585200 2596440 2714460 2720080 2843720 2856084 2922150 2985906 3102240 3116960 3128092 3245550 3264096 3339600 3393075 3400100 3412464 3461920 3554650 3570105 3619280 3709200 3808112 3877800 3896200 3910115 3981208 4080120 4250400 4265580 4327400 4343136 4524100 4675440 4692138 4720800 4760140 4976510 5100150 5170400 5192880 5331975 5428920 5440160 5474161 5687440 5712168 5844300 5950175 5971812 6256184 6491100 6679200 6786150 6800200 6824928 7109300 7140210 7238560 7418400 7464765 7616224 7755600 7792400 7820230 7962416 8160240 8531160 8654800 9048200 9350880 9384276 9520280 9953020 10200300 10385760 10663950 10857840 10948322 11374880 11424336 11688600 11730345 11900350 11943624 12441275 12512368 12982200 13572300 13600400 14218600 14280420 14929530 15511200 15584800 15640460 15924832 16320480 16422483 17062320 17309600 17850525 18096400 18768552 19040560 19550575 19906040 20400600 21327900 21715680 21896644 22848672 23377200 23460690 23800700 23887248 24882550 25024736 25964400 27144600 27200800 27370805 28437200 28560840 29859060 31280920 32844966 34124640 35701050 36192800 37323825 37537104 38081120 39101150 39812080 40801200 42655800 43793288 46754400 46921380 47601400 47774496 49765100 51928800 54289200 54741610 56874400 57121680 58651725 59718120 62561840 65689932 71402100 74647650 75074208 78202300 79624160 81602400 82112415 85311600 87586576 93842760 95202800 99530200 108578400 109483220 114243360 117303450 119436240 125123680 131379864 136854025 142804200 149295300 156404600 164224830 170623200 175173152 187685520 190405600 199060400 218966440 234606900 238872480 262759728 273708050 285608400 298590600 312809200 328449660 375371040 398120800 410562075 437932880 469213800 525519456 547416100 571216800 597181200 625618400 656899320 821124150 875865760 938427600 1094832200 1194362400 1313798640 1642248300 1876855200 2189664400 2627597280 3284496600 4379328800 6568993200 13137986400
• Sum of all divisors σ(n): 56255399424
• Sum of proper divisors (its aliquot sum) s(n): 43117413024
• 13137986400 is an abundant number, because the sum of its proper divisors (43117413024) is greater than itself. Its abundance is 29979426624

Bases of 13137986400

• Binary: 1100001111000101011100001101100000₂
• Hexadecimal: 0x30F15C360
• Base-36: 61A0N6O

Squares and roots of 13137986400

• 13137986400 squared (13137986400²) is 172606686646584960000
• 13137986400 cubed (13137986400³) is 2267704301711894810924544000000
• The square root of 13137986400 is 114621.0556573265
• The cube root of 13137986400 is 2359.6247128999

Scales and comparisons

• 13,137,986,400 seconds is equal to 417 years, 38 weeks, 6 days, 40 minutes.
• To count from 1 to 13,137,986,400 would take you about eight hundred thirty-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 13137986400 cubic inches would be around 196.6 feet tall.

Recreational maths with 13137986400

• 13137986400 backwards is 00468973131
• 13137986400 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 13137986400's digits is 42
• More coming soon!