13728826742491875000
13,728,826,742,491,875,000 is an even composite number composed of five prime numbers multiplied together.
13728826742491875000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 13728826742491875000:
23 × 3 × 57 × 712 × 232
(2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 23 × 23)See below for interesting mathematical facts about the number 13728826742491875000 from the Numbermatics database.
Names of 13728826742491875000
- Cardinal: 13728826742491875000 can be written as Thirteen quintillion, seven hundred twenty-eight quadrillion, eight hundred twenty-six trillion, seven hundred forty-two billion, four hundred ninety-one million, eight hundred seventy-five thousand.
Scientific notation
- Scientific notation: 1.3728826742491875 × 1019
Factors of 13728826742491875000
Divisors of 13728826742491875000
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 25 28 30 35 40 42 46 49 50 56 60 69 70 75 84 92 98 100 105 115 120 125 138 140 147 150 161 168 175 184 196 200 210 230 245 250 276 280 294 300 322 343 345 350 375 392 420 460 483 490 500 525 529 552 575 588 600 625 644 686 690 700 735 750 805 840 875 920 966 980 1000 1029 1050 1058 1127 1150 1176 1225 1250 1288 1372 1380 1400 1470 1500 1587 1610 1715 1725 1750 1875 1932 1960 2058 2100 2116 2254 2300 2401 2415 2450 2500 2625 2645 2744 2760 2875 2940 3000 3125 3174 3220 3381 3430 3450 3500 3675 3703 3750 3864 4025 4116 4200 4232 4375 4508 4600 4802 4830 4900 5000 5145 5250 5290 5635 5750 5880 6125 6250 6348 6440 6762 6860 6900 7000 7203 7350 7406 7500 7889 7935 8050 8232 8575 8625 8750 9016 9375 9604 9660 9800 10290 10500 10580 11109 11270 11500 12005 12075 12250 12500 12696 13125 13225 13524 13720 13800 14375 14406 14700 14812 15000 15625 15778 15870 16100 16807 16905 17150 17250 17500 18375 18515 18750 19208 19320 20125 20580 21000 21160 21875 22218 22540 23000 23667 24010 24150 24500 25000 25725 25921 26250 26450 27048 28175 28750 28812 29400 29624 30625 31250 31556 31740 32200 33614 33810 34300 34500 35000 36015 36750 37030 37500 39445 39675 40250 41160 42875 43125 43750 44436 45080 46875 47334 48020 48300 49000 50421 51450 51842 52500 52900 55223 55545 56350 57500 57624 60025 60375 61250 62500 63112 63480 65625 66125 67228 67620 68600 69000 71875 72030 73500 74060 75000 77763 78125 78890 79350 80500 84035 84525 85750 86250 87500 88872 91875 92575 93750 94668 96040 96600 100625 100842 102900 103684 105000 105800 109375 110446 111090 112700 115000 117649 118335 120050 120750 122500 125000 128625 129605 131250 132250 134456 135240 140875 143750 144060 147000 148120 153125 155526 156250 157780 158700 161000 165669 168070 169050 171500 172500 175000 180075 181447 183750 185150 187500 189336 197225 198375 201250 201684 205800 207368 214375 215625 218750 220892 222180 225400 234375 235298 236670 240100 241500 245000 252105 257250 259210 262500 264500 276115 277725 281750 287500 288120 300125 301875 306250 311052 312500 315560 317400 328125 330625 331338 336140 338100 343000 345000 352947 359375 360150 362894 367500 370300 375000 386561 388815 394450 396750 402500 403368 420175 422625 428750 431250 437500 441784 444360 459375 462875 468750 470596 473340 480200 483000 503125 504210 514500 518420 525000 529000 544341 546875 552230 555450 563500 575000 588245 591675 600250 603750 612500 622104 625000 643125 648025 656250 661250 662676 672280 676200 704375 705894 718750 720300 725788 735000 740600 765625 773122 777630 788900 793500 805000 823543 828345 840350 845250 857500 862500 875000 900375 907235 918750 925750 937500 941192 946680 986125 991875 1006250 1008420 1029000 1036840 1071875 1078125 1088682 1093750 1104460 1110900 1127000 1159683 1176490 1183350 1200500 1207500 1225000 1260525 1270129 1286250 1296050 1312500 1322500 1325352 1380575 1388625 1408750 1411788 1437500 1440600 1451576 1500625 1509375 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11674172400078125 11938110210862500 12181745113125000 12976206750937500 13075073088087500 13341911314375000 13728826742491875 14009006880093750 14212035965312500 14922637763578125 15690087705705000 16343841360109375 17054443158375000 18305102323322500 18678675840125000 19612609632131250 19896850351437500 20012866971562500 21318053947968750 21966122787987000 22881377904153125 23348344800156250 23876220421725000 24871062939296875 25952413501875000 26150146176175000 27457653484983750 28018013760187500 28424071930625000 29845275527156250 32687682720218750 35022517200234375 36610204646645000 39225219264262500 39793700702875000 40025733943125000 42636107895937500 45762755808306250 46696689600312500 49031524080328125 49742125878593750 54915306969967500 56036027520375000 59690551054312500 65375365440437500 68644133712459375 70045034400468750 74613188817890625 78450438528525000 81719206800546875 85272215791875000 91525511616612500 93393379200625000 98063048160656250 99484251757187500 109830613939935000 114406889520765625 119381102108625000 130750730880875000 137288267424918750 140090068800937500 149226377635781250 163438413601093750 183051023233225000 196126096321312500 198968503514375000 228813779041531250 245157620401640625 274576534849837500 280180137601875000 298452755271562500 326876827202187500 343220668562296875 392252192642625000 457627558083062500 490315240803281250 549153069699675000 572034447603828125 596905510543125000 653753654404375000 686441337124593750 915255116166125000 980630481606562500 1144068895207656250 1372882674249187500 1716103342811484375 1961260963213125000 2288137790415312500 2745765348498375000 3432206685622968750 4576275580830625000 6864413371245937500 13728826742491875000
- Sum of all divisors σ(n): 52323716397152098080
- Sum of proper divisors (its aliquot sum) s(n): 38594889654660223080
- 13728826742491875000 is an abundant number, because the sum of its proper divisors (38594889654660223080) is greater than itself. Its abundance is 24866062912168348080
Bases of 13728826742491875000
- Binary: 10111110100001101001011100101111000100010001110010000110101110002
- Hexadecimal: 0xBE86972F111C86B8
- Base-36: 2WAZIWX91GYBC
Squares and roots of 13728826742491875000
- 13728826742491875000 squared (137288267424918750002) is 188480683725360067871684441015625000000
- 13728826742491875000 cubed (137288267424918750003) is 2587618651171876419683127861785018924268310546875000000000
-
The
square root of 13728826742491875000 is 3705243142.1557040647 -
The
cube root of 13728826742491875000 is 2394479.6002353813
Scales and comparisons
How big is 13728826742491875000?- 13,728,826,742,491,875,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,728,826,742,491,875,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13728826742491875000 cubic inches would be around 199540 feet tall.
Recreational maths with 13728826742491875000
- 13728826742491875000 backwards is 00057819424762882731
- 13728826742491875000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13728826742491875000's digits is 84
- More coming soon!
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Cite this page
MLA style:
"Number 13728826742491875000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 13728826742491875000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/13728826742491875000/
Chicago style:
Numbermatics. 2024. "Number 13728826742491875000 - Facts about the integer". https://numbermatics.com/n/13728826742491875000/
The information we have on file for 13728826742491875000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 13728826742491875000, math, Factors of 13728826742491875000, curriculum, school, college, exams, university, Prime factorization of 13728826742491875000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, seven hundred twenty-eight quadrillion, eight hundred twenty-six trillion, seven hundred forty-two billion, four hundred ninety-one million, eight hundred seventy-five thousand.