13824944000

Names of 13824944000

• Cardinal: 13824944000 can be written as Thirteen billion, eight hundred twenty-four million, nine hundred forty-four thousand.

Scientific notation

• Scientific notation: 1.3824944 × 10¹⁰

Factors of 13824944000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 221

Divisors of 13824944000

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 53 56 64 68 70 80 85 100 106 112 119 125 128 136 137 140 160 170 175 200 212 224 238 250 265 272 274 280 320 340 350 371 400 424 425 448 476 500 530 544 548 560 595 640 680 685 700 742 800 848 850 875 896 901 952 959 1000 1060 1088 1096 1120 1190 1325 1360 1370 1400 1484 1600 1696 1700 1750 1802 1855 1904 1918 2000 2120 2125 2176 2192 2240 2329 2380 2650 2720 2740 2800 2968 2975 3200 3392 3400 3425 3500 3604 3710 3808 3836 4000 4240 4250 4384 4480 4505 4658 4760 4795 5300 5440 5480 5600 5936 5950 6307 6625 6784 6800 6850 7000 7208 7261 7420 7616 7672 8000 8480 8500 8768 9010 9275 9316 9520 9590 10600 10880 10960 11200 11645 11872 11900 12614 13250 13600 13700 14000 14416 14522 14840 14875 15232 15344 16000 16303 16960 17000 17125 17536 18020 18550 18632 19040 19180 21200 21920 22400 22525 23290 23744 23800 23975 25228 26500 27200 27400 28000 28832 29044 29680 29750 30688 31535 32606 33920 34000 34250 36040 36305 37100 37264 38080 38360 42400 43840 45050 46375 46580 47488 47600 47950 50456 50827 53000 54400 54800 56000 57664 58088 58225 59360 59500 61376 63070 65212 68000 68500 72080 72610 74200 74528 76160 76720 81515 84800 87680 90100 92750 93160 95200 95900 100912 101654 106000 109600 112000 112625 115328 116176 116450 118720 119000 119875 122752 123437 126140 130424 136000 137000 144160 145220 148400 149056 153440 157675 163030 169600 180200 181525 185500 186320 190400 191800 201824 203308 212000 219200 225250 232352 232900 237440 238000 239750 246874 252280 254135 260848 272000 274000 288320 290440 291125 296800 298112 306880 315350 326060 360400 363050 371000 372640 380800 383600 403648 406616 407575 424000 438400 450500 464704 465800 476000 479500 493748 504560 508270 521696 548000 576640 580880 582250 593600 613760 617185 630700 652120 720800 726100 742000 745280 767200 788375 807296 813232 815150 848000 864059 901000 907625 929408 931600 952000 959000 987496 1009120 1016540 1043392 1096000 1161760 1164500 1187200 1234370 1261400 1270675 1304240 1441600 1452200 1484000 1490560 1534400 1576750 1626464 1630300 1728118 1802000 1815250 1863200 1904000 1918000 1974992 2018240 2033080 2037875 2086784 2192000 2323520 2329000 2468740 2522800 2541350 2608480 2883200 2904400 2968000 3068800 3085925 3153500 3252928 3260600 3456236 3604000 3630500 3726400 3836000 3949984 4036480 4066160 4075750 4320295 4647040 4658000 4937480 5045600 5082700 5216960 5808800 5936000 6171850 6307000 6353375 6505856 6521200 6912472 7208000 7261000 7452800 7672000 7899968 8132320 8151500 8640590 9316000 9874960 10091200 10165400 10433920 11617600 12343700 12614000 12706750 13042400 13824944 14416000 14522000 15344000 15429625 15799936 16264640 16303000 17281180 18632000 19749920 20182400 20330800 21601475 23235200 24687400 25228000 25413500 26084800 27649888 29044000 30859250 32529280 32606000 34562360 37264000 39499840 40661600 43202950 49374800 50456000 50827000 52169600 55299776 58088000 61718500 65212000 69124720 78999680 81323200 86405900 98749600 100912000 101654000 108007375 110599552 116176000 123437000 130424000 138249440 162646400 172811800 197499200 203308000 216014750 246874000 260848000 276498880 345623600 394998400 406616000 432029500 493748000 552997760 691247200 813232000 864059000 987496000 1382494400 1728118000 1974992000 2764988800 3456236000 6912472000 13824944000
• Sum of all divisors σ(n): 42687440640
• Sum of proper divisors (its aliquot sum) s(n): 28862496640
• 13824944000 is an abundant number, because the sum of its proper divisors (28862496640) is greater than itself. Its abundance is 15037552640

Bases of 13824944000

• Binary: 1100111000000001111110011110000000₂
• Hexadecimal: 0x33807E780
• Base-36: 6CN0J28

Squares and roots of 13824944000

• 13824944000 squared (13824944000²) is 191129076603136000000
• 13824944000 cubed (13824944000³) is 2642348780810065424384000000000
• The square root of 13824944000 is 117579.5220265843
• The cube root of 13824944000 is 2400.0546283861

Scales and comparisons

• 13,824,944,000 seconds is equal to 439 years, 30 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
• To count from 1 to 13,824,944,000 would take you about eight hundred seventy-nine 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 13824944000 cubic inches would be around 200 feet tall.

Recreational maths with 13824944000

• 13824944000 backwards is 00044942831
• 13824944000 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 13824944000's digits is 35
• More coming soon!