13144500309248000
13,144,500,309,248,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13144500309248000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5184 divisors.
13144500309248000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, one hundred eighty-four divisors.
Prime factorization of 13144500309248000:
211 × 53 × 75 × 11 × 172 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 11 × 17 × 17 × 31 × 31)See below for interesting mathematical facts about the number 13144500309248000 from the Numbermatics database.
Names of 13144500309248000
- Cardinal: 13144500309248000 can be written as Thirteen quadrillion, one hundred forty-four trillion, five hundred billion, three hundred nine million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3144500309248 × 1016
Factors of 13144500309248000
Divisors of 13144500309248000
- Number of divisors d(n): 5184
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 31 32 34 35 40 44 49 50 55 56 62 64 68 70 77 80 85 88 98 100 110 112 119 124 125 128 136 140 154 155 160 170 175 176 187 196 200 217 220 224 238 245 248 250 256 272 275 280 289 308 310 320 340 341 343 350 352 374 385 392 400 425 434 440 448 476 490 496 500 512 527 539 544 550 560 578 595 616 620 640 680 682 686 700 704 748 770 775 784 800 833 850 868 875 880 896 935 952 961 980 992 1000 1024 1054 1078 1085 1088 1100 1120 1156 1190 1225 1232 1240 1280 1309 1360 1364 1372 1375 1400 1408 1445 1496 1519 1540 1550 1568 1600 1666 1700 1705 1715 1736 1750 1760 1792 1870 1904 1922 1925 1960 1984 2000 2023 2048 2108 2125 2156 2170 2176 2200 2240 2312 2380 2387 2401 2450 2464 2480 2560 2618 2635 2695 2720 2728 2744 2750 2800 2816 2890 2975 2992 3038 3080 3100 3136 3179 3200 3332 3400 3410 3430 3472 3500 3520 3584 3689 3740 3773 3808 3844 3850 3875 3920 3968 4000 4046 4165 4216 4250 4312 4340 4352 4400 4480 4624 4675 4760 4774 4802 4805 4900 4928 4960 5120 5236 5270 5390 5425 5440 5456 5488 5500 5600 5632 5780 5797 5831 5950 5984 6076 6125 6160 6200 6272 6358 6400 6545 6664 6727 6800 6820 6860 6944 7000 7040 7168 7225 7378 7480 7546 7595 7616 7688 7700 7750 7840 7936 8000 8092 8330 8432 8500 8525 8575 8624 8680 8704 8800 8959 8960 9163 9248 9350 9520 9548 9604 9610 9625 9800 9856 9920 10115 10240 10472 10540 10571 10633 10780 10850 10880 10912 10976 11000 11200 11264 11560 11594 11662 11900 11935 11968 12005 12152 12250 12320 12400 12544 12716 12800 13090 13175 13328 13454 13475 13600 13640 13720 13888 14000 14080 14161 14336 14450 14756 14875 14960 15092 15190 15232 15376 15400 15500 15680 15872 15895 16000 16184 16337 16660 16709 16807 16864 17000 17050 17150 17248 17360 17408 17600 17918 17920 18326 18445 18496 18700 18865 19040 19096 19208 19220 19250 19600 19712 19840 20230 20825 20944 21080 21142 21266 21560 21700 21760 21824 21952 22000 22253 22400 22528 23120 23188 23324 23375 23800 23870 23936 24010 24025 24304 24500 24640 24800 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106004034752000 110457985792000 117361609904000 119495457356800 131445003092480 134127554176000 149369321696000 154641180108800 164306253865600 170707796224000 187778575846400 193301475136000 205382817332000 212008069504000 234723219808000 238990914713600 262890006184960 268255108352000 298738643392000 328612507731200 375557151692800 386602950272000 410765634664000 424016139008000 469446439616000 525780012369920 597477286784000 657225015462400 773205900544000 821531269328000 938892879232000 1194954573568000 1314450030924800 1643062538656000 1877785758464000 2628900061849600 3286125077312000 6572250154624000 13144500309248000
- Sum of all divisors σ(n): 45822699712782720
- Sum of proper divisors (its aliquot sum) s(n): 32678199403534720
- 13144500309248000 is an abundant number, because the sum of its proper divisors (32678199403534720) is greater than itself. Its abundance is 19533699094286720
Bases of 13144500309248000
- Binary: 1011101011001011011010011101111010111011001000000000002
- Hexadecimal: 0x2EB2DA77AEC800
- Base-36: 3LFC42V6OE8
Squares and roots of 13144500309248000
- 13144500309248000 squared (131445003092480002) is 172777888379820767634325504000000
- 13144500309248000 cubed (131445003092480003) is 2271079007239770505852204336707893460992000000000
-
The
square root of 13144500309248000 is 114649467.1127956007 -
The
cube root of 13144500309248000 is 236001.4621500907
Scales and comparisons
How big is 13144500309248000?- 13,144,500,309,248,000 seconds is equal to 417,954,451 years, 11 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,144,500,309,248,000 would take you about one billion, two hundred fifty-three million, eight hundred sixty-three thousand, three hundred fifty-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 13144500309248000 cubic inches would be around 19666.8 feet tall.
Recreational maths with 13144500309248000
- 13144500309248000 backwards is 00084290300544131
- 13144500309248000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13144500309248000's digits is 44
- More coming soon!
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MLA style:
"Number 13144500309248000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 13144500309248000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/13144500309248000/
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The information we have on file for 13144500309248000 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!
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