13105612800
13,105,612,800 is an even composite number composed of six prime numbers multiplied together.
13105612800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13105612800:
211 × 32 × 52 × 7 × 17 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 17 × 239)See below for interesting mathematical facts about the number 13105612800 from the Numbermatics database.
Names of 13105612800
- Cardinal: 13105612800 can be written as Thirteen billion, one hundred five million, six hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.31056128 × 1010
Factors of 13105612800
Divisors of 13105612800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 32 34 35 36 40 42 45 48 50 51 56 60 63 64 68 70 72 75 80 84 85 90 96 100 102 105 112 119 120 126 128 136 140 144 150 153 160 168 170 175 180 192 200 204 210 224 225 238 239 240 252 255 256 272 280 288 300 306 315 320 336 340 350 357 360 384 400 408 420 425 448 450 476 478 480 504 510 512 525 544 560 576 595 600 612 630 640 672 680 700 714 717 720 765 768 800 816 840 850 896 900 952 956 960 1008 1020 1024 1050 1071 1088 1120 1152 1190 1195 1200 1224 1260 1275 1280 1344 1360 1400 1428 1434 1440 1530 1536 1575 1600 1632 1673 1680 1700 1785 1792 1800 1904 1912 1920 2016 2040 2048 2100 2142 2151 2176 2240 2304 2380 2390 2400 2448 2520 2550 2560 2688 2720 2800 2856 2868 2880 2975 3060 3072 3150 3200 3264 3346 3360 3400 3570 3584 3585 3600 3808 3824 3825 3840 4032 4063 4080 4200 4284 4302 4352 4480 4608 4760 4780 4800 4896 5019 5040 5100 5120 5355 5376 5440 5600 5712 5736 5760 5950 5975 6120 6144 6300 6400 6528 6692 6720 6800 7140 7168 7170 7200 7616 7648 7650 7680 8064 8126 8160 8365 8400 8568 8604 8704 8925 8960 9216 9520 9560 9600 9792 10038 10080 10200 10240 10710 10752 10755 10880 11200 11424 11472 11520 11900 11950 12189 12240 12600 12800 13056 13384 13440 13600 14280 14336 14340 14400 15057 15232 15296 15300 15360 16128 16252 16320 16730 16800 17136 17208 17408 17850 17920 17925 18432 19040 19120 19200 19584 20076 20160 20315 20400 21420 21504 21510 21760 22400 22848 22944 23040 23800 23900 24378 24480 25095 25200 25600 26112 26768 26775 26880 27200 28441 28560 28680 28800 30114 30464 30592 30600 30720 32256 32504 32640 33460 33600 34272 34416 34816 35700 35840 35850 36567 38080 38240 38400 39168 40152 40320 40630 40800 41825 42840 43008 43020 43520 44800 45696 45888 46080 47600 47800 48756 48960 50190 50400 51200 52224 53536 53550 53760 53775 54400 56882 57120 57360 57600 60228 60928 60945 61184 61200 64512 65008 65280 66920 67200 68544 68832 71400 71680 71700 73134 75285 76160 76480 76800 78336 80304 80640 81260 81600 83650 85323 85680 86040 87040 89600 91392 91776 92160 95200 95600 97512 97920 100380 100800 101575 104448 107072 107100 107520 107550 108800 113764 114240 114720 115200 120456 121856 121890 122368 122400 125475 129024 130016 130560 133840 134400 137088 137664 142205 142800 143400 146268 150570 152320 152960 153600 156672 160608 161280 162520 163200 167300 170646 171360 172080 174080 179200 182784 182835 183552 190400 191200 195024 195840 200760 201600 203150 214144 214200 215040 215100 217600 227528 228480 229440 230400 240912 243712 243780 244736 244800 250950 255969 260032 261120 267680 268800 274176 275328 284410 285600 286800 292536 301140 304640 304725 305920 313344 321216 322560 325040 326400 334600 341292 342720 344160 358400 365568 365670 367104 376425 380800 382400 390048 391680 401520 403200 406300 426615 428288 428400 430200 435200 455056 456960 458880 460800 481824 487560 489472 489600 501900 511938 520064 522240 535360 537600 548352 550656 568820 571200 573600 585072 602280 609280 609450 611840 642432 645120 650080 652800 669200 682584 685440 688320 711025 731136 731340 734208 752850 761600 764800 780096 783360 803040 806400 812600 853230 856576 856800 860400 870400 910112 913920 914175 917760 963648 975120 979200 1003800 1023876 1040128 1070720 1075200 1096704 1101312 1137640 1142400 1147200 1170144 1204560 1218560 1218900 1223680 1279845 1284864 1300160 1305600 1338400 1365168 1370880 1376640 1422050 1462680 1468416 1505700 1523200 1529600 1560192 1566720 1606080 1612800 1625200 1706460 1713152 1713600 1720800 1820224 1827840 1828350 1835520 1927296 1950240 1958400 2007600 2047752 2080256 2133075 2141440 2193408 2202624 2275280 2284800 2294400 2340288 2409120 2437800 2447360 2559690 2569728 2600320 2611200 2676800 2730336 2741760 2753280 2844100 2925360 3011400 3046400 3059200 3120384 3212160 3225600 3250400 3412920 3426304 3427200 3441600 3640448 3655680 3656700 3671040 3854592 3900480 3916800 4015200 4095504 4160512 4266150 4282880 4405248 4550560 4569600 4588800 4680576 4818240 4875600 5119380 5139456 5200640 5353600 5460672 5483520 5506560 5688200 5850720 6022800 6092800 6118400 6240768 6399225 6424320 6500800 6825840 6854400 6883200 7280896 7313400 7342080 7709184 7800960 7833600 8030400 8191008 8321024 8532300 8565760 9101120 9139200 9177600 9361152 9636480 9751200 10238760 10278912 10401280 10707200 10921344 10967040 11013120 11376400 11701440 12045600 12236800 12481536 12798450 12848640 13001600 13651680 13708800 13766400 14561792 14626800 15418368 15601920 16060800 16382016 17064600 17131520 18202240 18278400 18355200 18722304 19272960 19502400 20477520 20802560 21414400 21842688 22026240 22752800 23402880 24091200 24963072 25596900 25697280 26003200 27303360 27417600 27532800 29123584 29253600 30836736 31203840 32121600 32764032 34129200 36404480 36710400 37444608 38545920 39004800 40955040 41605120 42828800 43685376 45505600 46805760 48182400 51193800 51394560 52006400 54606720 54835200 55065600 58247168 58507200 62407680 64243200 65528064 68258400 72808960 74889216 77091840 78009600 81910080 85657600 87370752 91011200 93611520 96364800 102387600 104012800 109213440 110131200 117014400 124815360 128486400 131056128 136516800 145617920 154183680 156019200 163820160 174741504 182022400 187223040 192729600 204775200 208025600 218426880 234028800 256972800 262112256 273033600 291235840 312038400 327640320 364044800 374446080 385459200 409550400 436853760 468057600 524224512 546067200 624076800 655280640 728089600 770918400 819100800 873707520 936115200 1092134400 1310561280 1456179200 1638201600 1872230400 2184268800 2621122560 3276403200 4368537600 6552806400 13105612800
- Sum of all divisors σ(n): 57033849600
- Sum of proper divisors (its aliquot sum) s(n): 43928236800
- 13105612800 is an abundant number, because the sum of its proper divisors (43928236800) is greater than itself. Its abundance is 30822624000
Bases of 13105612800
- Binary: 11000011010010011111001000000000002
- Hexadecimal: 0x30D27C800
- Base-36: 60QQRK0
Squares and roots of 13105612800
- 13105612800 squared (131056128002) is 171757086863523840000
- 13105612800 cubed (131056128003) is 2250981876089309890609152000000
-
The
square root of 13105612800 is 114479.7484273965 -
The
cube root of 13105612800 is 2357.6849844743
Scales and comparisons
How big is 13105612800?- 13,105,612,800 seconds is equal to 416 years, 37 weeks, 2 days, 8 hours.
-
To count from 1 to 13,105,612,800 would take you about eight hundred thirty-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 13105612800 cubic inches would be around 196.5 feet tall.
Recreational maths with 13105612800
- 13105612800 backwards is 00821650131
- The number of decimal digits it has is: 11
- The sum of 13105612800's digits is 27
- More coming soon!
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