13125202448736000
13,125,202,448,736,000 is an even composite number composed of six prime numbers multiplied together.
13125202448736000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13125202448736000:
28 × 3 × 53 × 73 × 233 × 1812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 23 × 23 × 23 × 181 × 181)See below for interesting mathematical facts about the number 13125202448736000 from the Numbermatics database.
Names of 13125202448736000
- Cardinal: 13125202448736000 can be written as Thirteen quadrillion, one hundred twenty-five trillion, two hundred two billion, four hundred forty-eight million, seven hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.3125202448736 × 1016
Factors of 13125202448736000
Divisors of 13125202448736000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 49 50 56 60 64 69 70 75 80 84 92 96 98 100 105 112 115 120 125 128 138 140 147 150 160 161 168 175 181 184 192 196 200 210 224 230 240 245 250 256 276 280 294 300 320 322 336 343 345 350 362 368 375 384 392 400 420 448 460 480 483 490 500 525 529 543 552 560 575 588 600 640 644 672 686 690 700 724 735 736 750 768 784 800 805 840 875 896 905 920 960 966 980 1000 1029 1050 1058 1086 1104 1120 1127 1150 1176 1200 1225 1267 1280 1288 1344 1372 1380 1400 1448 1470 1472 1500 1568 1587 1600 1610 1680 1715 1725 1750 1792 1810 1840 1920 1932 1960 2000 2058 2100 2116 2172 2208 2240 2254 2300 2352 2400 2415 2450 2534 2576 2625 2645 2688 2715 2744 2760 2800 2875 2896 2940 2944 3000 3136 3174 3200 3220 3360 3381 3430 3450 3500 3620 3675 3680 3703 3801 3840 3864 3920 4000 4025 4116 4163 4200 4232 4344 4416 4480 4508 4525 4600 4704 4800 4830 4900 5068 5145 5152 5250 5290 5376 5430 5488 5520 5600 5635 5750 5792 5880 5888 6000 6125 6272 6335 6348 6400 6440 6720 6762 6860 6900 7000 7240 7350 7360 7406 7602 7728 7840 7889 7935 8000 8050 8232 8326 8400 8464 8575 8625 8688 8832 8869 8960 9016 9050 9200 9408 9600 9660 9800 10136 10290 10304 10500 10580 10860 10976 11040 11109 11200 11270 11500 11584 11760 12000 12075 12167 12250 12489 12544 12670 12696 12880 13225 13440 13524 13575 13720 13800 14000 14480 14700 14720 14812 15204 15456 15680 15778 15870 16000 16100 16464 16652 16800 16905 16928 17150 17250 17376 17664 17738 18032 18100 18375 18400 18515 18816 19005 19200 19320 19600 20125 20272 20580 20608 20815 21000 21160 21720 21952 22080 22218 22400 22540 22625 23000 23168 23520 23667 24000 24150 24334 24500 24978 25340 25392 25725 25760 25921 26450 26607 26880 27048 27150 27440 27600 28000 28175 28960 29141 29400 29440 29624 30408 30912 31360 31556 31675 31740 32000 32200 32761 32928 33304 33600 33810 33856 34300 34500 34752 35476 36064 36200 36501 36750 36800 37030 37632 38010 38640 39200 39445 39675 40250 40544 41160 41216 41630 42000 42320 42875 43440 43904 44160 44345 44436 44800 45080 45250 46000 46336 47040 47334 48000 48300 48668 49000 49956 50680 50784 51450 51520 51842 52900 53214 54096 54300 54880 55200 55545 56000 56350 57920 58282 58800 59248 60375 60816 60835 61824 62083 62445 62720 63112 63350 63480 64400 65522 65856 66125 66608 67200 67620 67712 67875 68600 69000 69504 70952 72128 72400 73002 73500 73600 74060 76020 77280 77763 78400 78890 79350 80500 81088 82320 83260 84000 84525 84640 85169 85750 86880 87423 87808 88320 88690 88872 90160 90500 92000 92575 94080 94668 95025 95749 96000 96600 97336 98000 98283 99912 101360 101568 102900 103040 103684 104075 105800 106428 108192 108600 109760 110400 111090 112000 112700 115840 116564 117600 118335 118496 120750 121632 121670 123648 124166 124890 126224 126700 126960 128625 128800 129605 131044 131712 132250 133035 133216 134400 135240 135424 135750 137200 138000 139008 140875 141904 144256 144800 145705 146004 147000 147200 148120 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43750674829120 44643545744000 46875723031200 47555081336000 51270322065375 52500809794944 53572254892800 54688343536400 57066097603200 58594653789000 62500964041600 65626012243680 66965318616000 68360429420500 71332622004000 72514930656000 75001156849920 78126205052000 81522996576000 82032515304600 87501349658240 89287091488000 93751446062400 95110162672000 102540644130750 105001619589888 109376687072800 114132195206400 117189307578000 125001928083200 131252024487360 133930637232000 136720858841000 142665244008000 156252410104000 164065030609200 175002699316480 187502892124800 190220325344000 205081288261500 218753374145600 234378615156000 262504048974720 267861274464000 273441717682000 285330488016000 312504820208000 328130061218400 375005784249600 410162576523000 437506748291200 468757230312000 525008097949440 546883435364000 570660976032000 625009640416000 656260122436800 820325153046000 875013496582400 937514460624000 1093766870728000 1312520244873600 1640650306092000 1875028921248000 2187533741456000 2625040489747200 3281300612184000 4375067482912000 6562601224368000 13125202448736000
- Sum of all divisors σ(n): 53446065394176000
- Sum of proper divisors (its aliquot sum) s(n): 40320862945440000
- 13125202448736000 is an abundant number, because the sum of its proper divisors (40320862945440000) is greater than itself. Its abundance is 27195660496704000
Bases of 13125202448736000
- Binary: 1011101010000101001101010101011000111111011111000000002
- Hexadecimal: 0x2EA14D558FDF00
- Base-36: 3L8HURJAJ9C
Squares and roots of 13125202448736000
- 13125202448736000 squared (131252024487360002) is 172270939320305490707997696000000
- 13125202448736000 cubed (131252024487360003) is 2261090954612924494088197453878646112256000000000
-
The
square root of 13125202448736000 is 114565275.9292098943 -
The
cube root of 13125202448736000 is 235885.9118237917
Scales and comparisons
How big is 13125202448736000?- 13,125,202,448,736,000 seconds is equal to 417,340,838 years, 49 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 13,125,202,448,736,000 would take you about one billion, two hundred fifty-two million, twenty-two thousand, five hundred sixteen 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 13125202448736000 cubic inches would be around 19657.2 feet tall.
Recreational maths with 13125202448736000
- 13125202448736000 backwards is 00063784420252131
- 13125202448736000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13125202448736000's digits is 48
- More coming soon!
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MLA style:
"Number 13125202448736000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 13125202448736000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/13125202448736000/
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Numbermatics. 2024. "Number 13125202448736000 - Facts about the integer". https://numbermatics.com/n/13125202448736000/
The information we have on file for 13125202448736000 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 13125202448736000, math, Factors of 13125202448736000, curriculum, school, college, exams, university, Prime factorization of 13125202448736000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, one hundred twenty-five trillion, two hundred two billion, four hundred forty-eight million, seven hundred thirty-six thousand.