13440456327168000
13,440,456,327,168,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13440456327168000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4800 divisors.
13440456327168000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, eight hundred divisors.
Prime factorization of 13440456327168000:
224 × 33 × 53 × 13 × 19 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 19 × 31 × 31)See below for interesting mathematical facts about the number 13440456327168000 from the Numbermatics database.
Names of 13440456327168000
- Cardinal: 13440456327168000 can be written as Thirteen quadrillion, four hundred forty trillion, four hundred fifty-six billion, three hundred twenty-seven million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3440456327168 × 1016
Factors of 13440456327168000
Divisors of 13440456327168000
- Number of divisors d(n): 4800
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 31 32 36 38 39 40 45 48 50 52 54 57 60 62 64 65 72 75 76 78 80 90 93 95 96 100 104 108 114 117 120 124 125 128 130 135 144 150 152 155 156 160 171 180 186 190 192 195 200 208 216 225 228 234 240 247 248 250 256 260 270 279 285 288 300 304 310 312 320 325 342 351 360 372 375 380 384 390 400 403 416 432 450 456 465 468 475 480 494 496 500 512 513 520 540 558 570 576 585 589 600 608 620 624 640 650 675 684 702 720 741 744 750 760 768 775 780 800 806 832 837 855 864 900 912 930 936 950 960 961 975 988 992 1000 1024 1026 1040 1080 1116 1125 1140 1152 1170 1178 1200 1209 1216 1235 1240 1248 1280 1300 1350 1368 1395 1404 1425 1440 1482 1488 1500 1520 1536 1550 1560 1600 1612 1625 1664 1674 1710 1728 1755 1767 1800 1824 1860 1872 1900 1920 1922 1950 1976 1984 2000 2015 2048 2052 2080 2160 2223 2232 2250 2280 2304 2325 2340 2356 2375 2400 2418 2432 2470 2480 2496 2560 2565 2600 2700 2736 2790 2808 2850 2880 2883 2925 2945 2964 2976 3000 3040 3072 3100 3120 3200 3224 3250 3328 3348 3375 3420 3456 3510 3534 3600 3627 3648 3705 3720 3744 3800 3840 3844 3875 3900 3952 3968 4000 4030 4096 4104 4160 4185 4275 4320 4446 4464 4500 4560 4608 4650 4680 4712 4750 4800 4805 4836 4864 4875 4940 4960 4992 5120 5130 5200 5301 5400 5472 5580 5616 5700 5760 5766 5850 5890 5928 5952 6000 6045 6080 6144 6175 6200 6240 6400 6448 6500 6656 6669 6696 6750 6840 6912 6975 7020 7068 7125 7200 7254 7296 7410 7440 7488 7600 7657 7680 7688 7750 7800 7904 7936 8000 8060 8192 8208 8320 8370 8550 8640 8649 8775 8835 8892 8928 9000 9120 9216 9300 9360 9424 9500 9600 9610 9672 9728 9750 9880 9920 9984 10075 10240 10260 10400 10602 10800 10881 10944 11115 11160 11232 11400 11520 11532 11625 11700 11780 11856 11904 12000 12090 12160 12288 12350 12400 12480 12493 12800 12825 12896 13000 13312 13338 13392 13500 13680 13824 13950 14040 14136 14250 14400 14415 14508 14592 14625 14725 14820 14880 14976 15200 15314 15360 15376 15500 15600 15808 15872 15903 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86712621465600 88424054784000 89603042181120 93336502272000 99558935756800 103388125593600 105003565056000 107523650617344 108390776832000 112003802726400 114875695104000 117898739712000 124448669696000 129235156992000 134404563271680 140004753408000 141478487654400 144521035776000 149338403635200 168005704089600 172313542656000 176848109568000 179206084362240 186673004544000 206776251187200 210007130112000 216781553664000 224007605452800 235797479424000 248897339392000 258470313984000 268809126543360 280009506816000 298676807270400 336011408179200 344627085312000 353696219136000 373346009088000 420014260224000 433563107328000 448015210905600 497794678784000 516940627968000 537618253086720 560019013632000 672022816358400 707392438272000 746692018176000 840028520448000 896030421811200 1033881255936000 1120038027264000 1344045632716800 1493384036352000 1680057040896000 2240076054528000 2688091265433600 3360114081792000 4480152109056000 6720228163584000 13440456327168000
- Sum of all divisors σ(n): 58215917730297600
- Sum of proper divisors (its aliquot sum) s(n): 44775461403129600
- 13440456327168000 is an abundant number, because the sum of its proper divisors (44775461403129600) is greater than itself. Its abundance is 31335005075961600
Bases of 13440456327168000
- Binary: 1011111100000000000110000110010000000000000000000000002
- Hexadecimal: 0x2FC00619000000
- Base-36: 3OC8SEAWAO0
Squares and roots of 13440456327168000
- 13440456327168000 squared (134404563271680002) is 180645866282510324254900224000000
- 13440456327168000 cubed (134404563271680003) is 2427962876453510362610057010889340485632000000000
-
The
square root of 13440456327168000 is 115932982.0507003089 -
The
cube root of 13440456327168000 is 237759.5689263729
Scales and comparisons
How big is 13440456327168000?- 13,440,456,327,168,000 seconds is equal to 427,364,937 years, 7 weeks, 3 days.
-
To count from 1 to 13,440,456,327,168,000 would take you about one billion, two hundred eighty-two million, ninety-four thousand, eight hundred eleven 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 13440456327168000 cubic inches would be around 19813.3 feet tall.
Recreational maths with 13440456327168000
- 13440456327168000 backwards is 00086172365404431
- 13440456327168000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13440456327168000's digits is 54
- More coming soon!
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"Number 13440456327168000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 13440456327168000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/13440456327168000/
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The information we have on file for 13440456327168000 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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