13141128000
13,141,128,000 is an even composite number composed of seven prime numbers multiplied together.
13141128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 13141128000:
26 × 3 × 53 × 7 × 11 × 13 × 547
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 13 × 547)See below for interesting mathematical facts about the number 13141128000 from the Numbermatics database.
Names of 13141128000
- Cardinal: 13141128000 can be written as Thirteen billion, one hundred forty-one million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3141128 × 1010
Factors of 13141128000
Divisors of 13141128000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 32 33 35 39 40 42 44 48 50 52 55 56 60 64 65 66 70 75 77 78 80 84 88 91 96 100 104 105 110 112 120 125 130 132 140 143 150 154 156 160 165 168 175 176 182 192 195 200 208 210 220 224 231 240 250 260 264 273 275 280 286 300 308 312 320 325 330 336 350 352 364 375 385 390 400 416 420 429 440 448 455 462 480 500 520 525 528 546 547 550 560 572 600 616 624 650 660 672 700 704 715 728 750 770 780 800 825 832 840 858 875 880 910 924 960 975 1000 1001 1040 1050 1056 1092 1094 1100 1120 1144 1155 1200 1232 1248 1300 1320 1344 1365 1375 1400 1430 1456 1500 1540 1560 1600 1625 1641 1650 1680 1716 1750 1760 1820 1848 1925 1950 2000 2002 2080 2100 2112 2145 2184 2188 2200 2240 2275 2288 2310 2400 2464 2496 2600 2625 2640 2730 2735 2750 2800 2860 2912 3000 3003 3080 3120 3250 3282 3300 3360 3432 3500 3520 3575 3640 3696 3829 3850 3900 4000 4004 4125 4160 4200 4290 4368 4376 4400 4550 4576 4620 4800 4875 4928 5005 5200 5250 5280 5460 5470 5500 5600 5720 5775 5824 6000 6006 6017 6160 6240 6500 6564 6600 6720 6825 6864 7000 7111 7150 7280 7392 7658 7700 7800 8000 8008 8205 8250 8400 8580 8736 8752 8800 9100 9152 9240 9625 9750 10010 10400 10500 10560 10725 10920 10940 11000 11200 11375 11440 11487 11550 12000 12012 12034 12320 12480 13000 13128 13200 13650 13675 13728 14000 14222 14300 14560 14784 15015 15316 15400 15600 16016 16410 16500 16800 17160 17472 17504 17600 17875 18051 18200 18480 19145 19250 19500 20020 20800 21000 21333 21450 21840 21880 22000 22750 22880 22974 23100 24000 24024 24068 24640 25025 26000 26256 26400 27300 27350 27456 28000 28444 28600 28875 29120 30030 30085 30632 30800 31200 32032 32820 33000 33600 34125 34320 35008 35555 35750 36102 36400 36960 38290 38500 39000 40040 41025 42000 42119 42666 42900 43680 43760 44000 45500 45760 45948 46200 48048 48136 49777 50050 52000 52512 52800 53625 54600 54700 56000 56888 57200 57435 57750 60060 60170 61264 61600 62400 64064 65640 66000 68250 68375 68640 71110 71500 72204 72800 73920 75075 76580 77000 78000 78221 80080 82050 84000 84238 85332 85800 87360 87520 88000 90255 91000 91896 92400 95725 96096 96272 99554 100100 104000 105024 106665 107250 109200 109400 113776 114400 114870 115500 120120 120340 122528 123200 125125 126357 131280 132000 136500 136750 137280 142220 143000 144408 145600 149331 150150 150425 153160 154000 156000 156442 160160 164100 168000 168476 170664 171600 175040 177775 180510 182000 183792 184800 191450 192192 192544 199108 200200 205125 210595 213330 214500 218400 218800 227552 228800 229740 231000 234663 240240 240680 245056 248885 250250 252714 262560 264000 273000 273500 284440 286000 287175 288816 298662 300300 300850 306320 308000 312000 312884 320320 328200 336952 341328 343200 355550 361020 364000 367584 369600 375375 382900 385088 391105 398216 400400 410250 421190 426660 429000 436800 437600 451275 455104 459480 462000 469326 478625 480480 481360 497770 500500 505428 525120 533325 546000 547000 547547 568880 572000 574350 577632 597324 600600 601700 612640 616000 625768 631785 656400 673904 682656 686400 711100 722040 728000 735168 746655 750750 752125 765800 782210 796432 800800 820500 842380 853320 858000 875200 888875 902550 918960 924000 938652 957250 960960 962720 995540 1001000 1010856 1052975 1066650 1092000 1094000 1095094 1137760 1144000 1148700 1155264 1173315 1194648 1201200 1203400 1225280 1244425 1251536 1263570 1312800 1347808 1365312 1422200 1435875 1444080 1493310 1501500 1504250 1531600 1564420 1592864 1601600 1641000 1642641 1684760 1706640 1716000 1777750 1805100 1837920 1848000 1877304 1914500 1925440 1955525 1991080 2002000 2021712 2105950 2133300 2184000 2188000 2190188 2256375 2275520 2297400 2346630 2389296 2402400 2406800 2488850 2503072 2527140 2625600 2666625 2695616 2737735 2844400 2871750 2888160 2986620 3003000 3008500 3063200 3128840 3158925 3185728 3282000 3285282 3369520 3413280 3432000 3555500 3610200 3675840 3733275 3754608 3829000 3911050 3982160 4004000 4043424 4211900 4266600 4376000 4380376 4512750 4594800 4693260 4778592 4804800 4813600 4977700 5006144 5054280 5264875 5333250 5475470 5688800 5743500 5776320 5866575 5973240 6006000 6017000 6126400 6222125 6257680 6317850 6564000 6570564 6739040 6826560 7111000 7220400 7466550 7509216 7658000 7822100 7964320 8008000 8086848 8213205 8423800 8533200 8760752 9025500 9189600 9386520 9557184 9627200 9777625 9955400 10108560 10529750 10666500 10950940 11377600 11487000 11733150 11946480 12012000 12034000 12444250 12515360 12635700 13128000 13141128 13478080 13688675 14222000 14440800 14933100 15018432 15316000 15644200 15794625 15928640 16426410 16847600 17066400 17521504 18051000 18379200 18666375 18773040 19555250 19910800 20217120 21059500 21333000 21901880 22974000 23466300 23892960 24024000 24068000 24888500 25030720 25271400 26282256 27377350 28444000 28881600 29332875 29866200 30632000 31288400 31589250 32852820 33695200 34132800 35043008 36102000 37332750 37546080 39110500 39821600 40434240 41066025 42119000 42666000 43803760 45948000 46932600 47785920 48136000 49777000 50542800 52564512 54754700 56888000 58665750 59732400 62576800 63178500 65705640 67390400 68443375 72204000 74665500 75092160 78221000 79643200 82132050 84238000 85332000 87607520 91896000 93865200 99554000 101085600 105129024 109509400 117331500 119464800 125153600 126357000 131411280 136886750 144408000 149331000 156442000 164264100 168476000 170664000 175215040 187730400 199108000 202171200 205330125 219018800 234663000 238929600 252714000 262822560 273773500 298662000 312884000 328528200 336952000 375460800 398216000 410660250 438037600 469326000 505428000 525645120 547547000 597324000 625768000 657056400 821320500 876075200 938652000 1010856000 1095094000 1194648000 1314112800 1642641000 1877304000 2190188000 2628225600 3285282000 4380376000 6570564000 13141128000
- Sum of all divisors σ(n): 58367102976
- Sum of proper divisors (its aliquot sum) s(n): 45225974976
- 13141128000 is an abundant number, because the sum of its proper divisors (45225974976) is greater than itself. Its abundance is 32084846976
Bases of 13141128000
- Binary: 11000011110100010110110011010000002
- Hexadecimal: 0x30F45B340
- Base-36: 61BVZ9C
Squares and roots of 13141128000
- 13141128000 squared (131411280002) is 172689245112384000000
- 13141128000 cubed (131411280003) is 2269331474245212529152000000000
-
The
square root of 13141128000 is 114634.7591265407 -
The
cube root of 13141128000 is 2359.8127784065
Scales and comparisons
How big is 13141128000?- 13,141,128,000 seconds is equal to 417 years, 44 weeks, 9 hours, 20 minutes.
-
To count from 1 to 13,141,128,000 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 13141128000 cubic inches would be around 196.7 feet tall.
Recreational maths with 13141128000
- 13141128000 backwards is 00082114131
- 13141128000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13141128000's digits is 21
- More coming soon!
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