13735728000

Names of 13735728000

• Cardinal: 13735728000 can be written as Thirteen billion, seven hundred thirty-five million, seven hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 1.3735728 × 10¹⁰

Factors of 13735728000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 239

Divisors of 13735728000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 31 32 34 36 40 45 48 50 51 60 62 64 68 72 75 80 85 90 93 96 100 102 120 124 125 128 136 144 150 153 155 160 170 180 181 186 192 200 204 225 240 248 250 255 272 279 288 300 306 310 320 340 360 362 372 375 384 400 408 425 450 465 480 496 500 510 527 543 544 558 576 600 612 620 640 680 720 724 744 750 765 775 800 816 850 900 905 930 960 992 1000 1020 1054 1086 1088 1116 1125 1152 1200 1224 1240 1275 1360 1395 1440 1448 1488 1500 1530 1550 1581 1600 1629 1632 1700 1800 1810 1860 1920 1984 2000 2040 2108 2125 2172 2176 2232 2250 2325 2400 2448 2480 2550 2635 2715 2720 2790 2880 2896 2976 3000 3060 3077 3100 3162 3200 3258 3264 3400 3600 3620 3720 3825 3875 3968 4000 4080 4216 4250 4344 4464 4500 4525 4650 4743 4800 4896 4960 5100 5270 5430 5440 5580 5611 5760 5792 5952 6000 6120 6154 6200 6324 6375 6516 6528 6800 6975 7200 7240 7440 7650 7750 7905 8000 8145 8160 8432 8500 8688 8928 9000 9050 9231 9300 9486 9600 9792 9920 10200 10540 10860 10880 11160 11222 11584 11625 11904 12000 12240 12308 12400 12648 12750 13032 13175 13575 13600 13950 14400 14480 14880 15300 15385 15500 15810 16000 16290 16320 16833 16864 17000 17376 17856 18000 18100 18462 18600 18972 19125 19584 19840 20400 21080 21720 22320 22444 22625 23168 23250 23715 24000 24480 24616 24800 25296 25500 26064 26350 27150 27200 27693 27900 28055 28800 28960 29760 30600 30770 31000 31620 32580 32640 33666 33728 34000 34752 34875 35712 36000 36200 36924 37200 37944 38250 39525 40725 40800 42160 43440 44640 44888 45250 46155 46500 47430 48000 48960 49232 49600 50499 50592 51000 52128 52700 54300 54400 55386 55800 56110 57920 59520 61200 61540 62000 63240 65160 65875 67332 67456 67875 68000 69504 69750 72000 72400 73848 74400 75888 76500 76925 79050 81450 81600 84165 84320 86880 89280 89776 90500 92310 93000 94860 95387 97920 98464 99200 100998 101184 102000 104256 105400 108600 110772 111600 112220 115840 118575 122400 123080 124000 126480 130320 131750 134664 135750 136000 138465 139500 140275 144000 144800 147696 148800 151776 153000 153850 158100 162900 163200 168330 168640 173760 178560 179552 181000 184620 186000 189720 190774 196928 197625 201996 202368 203625 204000 208512 210800 217200 221544 223200 224440 230775 237150 244800 246160 248000 252495 252960 260640 263500 269328 271500 272000 276930 279000 280550 286161 289600 295392 297600 303552 306000 307700 316200 325800 336660 337280 347520 359104 362000 369240 372000 379440 381548 384625 393856 395250 403992 407250 408000 420825 421600 434400 443088 446400 448880 461550 474300 476935 489600 492320 496000 504990 505920 521280 527000 538656 543000 553860 558000 561100 572322 579200 590784 592875 607104 612000 615400 632400 651600 673320 692325 701375 718208 724000 738480 744000 758880 763096 769250 790500 807984 814500 816000 841650 843200 858483 868800 886176 892800 897760 923100 948600 953870 984640 1009980 1011840 1042560 1054000 1077312 1086000 1107720 1116000 1122200 1144644 1153875 1181568 1185750 1224000 1230800 1262475 1264800 1303200 1346640 1384650 1402750 1430805 1448000 1476960 1488000 1517760 1526192 1538500 1581000 1615968 1629000 1683300 1686400 1716966 1737600 1772352 1795520 1846200 1897200 1907740 1969280 2019960 2104125 2108000 2154624 2172000 2215440 2232000 2244400 2289288 2307750 2371500 2384675 2448000 2461600 2524950 2529600 2606400 2693280 2769300 2805500 2861610 2896000 2953920 3035520 3052384 3077000 3162000 3231936 3258000 3366600 3433932 3461625 3544704 3591040 3692400 3794400 3815480 4039920 4208250 4216000 4292415 4344000 4430880 4464000 4488800 4578576 4615500 4743000 4769350 4923200 5049900 5059200 5212800 5386560 5538600 5611000 5723220 5907840 6104768 6154000 6312375 6324000 6463872 6516000 6733200 6867864 6923250 7154025 7384800 7588800 7630960 8079840 8416500 8432000 8584830 8688000 8861760 8977600 9157152 9231000 9486000 9538700 9846400 10099800 10773120 11077200 11222000 11446440 11923375 12209536 12308000 12624750 12648000 13032000 13466400 13735728 13846500 14308050 14769600 15177600 15261920 16159680 16833000 17169660 17723520 17955200 18314304 18462000 18972000 19077400 20199600 21462075 22154400 22444000 22892880 23846750 24616000 25249500 25296000 26064000 26932800 27471456 27693000 28616100 29539200 30523840 32319360 33666000 34339320 35770125 36628608 36924000 37944000 38154800 40399200 42924150 44308800 44888000 45785760 47693500 49232000 50499000 53865600 54942912 55386000 57232200 61047680 67332000 68678640 71540250 73848000 75888000 76309600 80798400 85848300 88617600 89776000 91571520 95387000 100998000 107310375 109885824 110772000 114464400 134664000 137357280 143080500 147696000 152619200 161596800 171696600 183143040 190774000 201996000 214620750 221544000 228928800 269328000 274714560 286161000 305238400 343393200 381548000 403992000 429241500 443088000 457857600 549429120 572322000 686786400 763096000 807984000 858483000 915715200 1144644000 1373572800 1526192000 1716966000 2289288000 2747145600 3433932000 4578576000 6867864000 13735728000
• Sum of all divisors σ(n): 54212820480
• Sum of proper divisors (its aliquot sum) s(n): 40477092480
• 13735728000 is an abundant number, because the sum of its proper divisors (40477092480) is greater than itself. Its abundance is 26741364480

Bases of 13735728000

• Binary: 1100110010101101101001001110000000₂
• Hexadecimal: 0x332B69380
• Base-36: 6B5WBK0

Squares and roots of 13735728000

• 13735728000 squared (13735728000²) is 188670223689984000000
• 13735728000 cubed (13735728000³) is 2591522874304776548352000000000
• The square root of 13735728000 is 117199.5221833263
• The cube root of 13735728000 is 2394.8807549847

Scales and comparisons

• 13,735,728,000 seconds is equal to 436 years, 39 weeks, 1 day, 8 hours.
• To count from 1 to 13,735,728,000 would take you about eight hundred seventy-three 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 13735728000 cubic inches would be around 199.6 feet tall.

Recreational maths with 13735728000

• 13735728000 backwards is 00082753731
• 13735728000 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 13735728000's digits is 36
• More coming soon!