45983390208000
45,983,390,208,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 45983390208000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3328 divisors.
45983390208000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, three hundred twenty-eight divisors.
Prime factorization of 45983390208000:
212 × 3 × 53 × 7 × 19 × 31 × 53 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 19 × 31 × 53 × 137)See below for interesting mathematical facts about the number 45983390208000 from the Numbermatics database.
Names of 45983390208000
- Cardinal: 45983390208000 can be written as Forty-five trillion, nine hundred eighty-three billion, three hundred ninety million, two hundred eight thousand.
Scientific notation
- Scientific notation: 4.5983390208 × 1013
Factors of 45983390208000
Divisors of 45983390208000
- Number of divisors d(n): 3328
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 31 32 35 38 40 42 48 50 53 56 57 60 62 64 70 75 76 80 84 93 95 96 100 105 106 112 114 120 124 125 128 133 137 140 150 152 155 159 160 168 175 186 190 192 200 210 212 217 224 228 240 248 250 256 265 266 274 280 285 300 304 310 318 320 336 350 371 372 375 380 384 399 400 411 420 424 434 448 456 465 475 480 496 500 512 525 530 532 548 560 570 589 600 608 620 636 640 651 665 672 685 700 742 744 750 760 768 775 795 798 800 822 840 848 868 875 896 912 930 950 959 960 992 1000 1007 1024 1050 1060 1064 1085 1096 1113 1120 1140 1178 1200 1216 1240 1272 1280 1302 1325 1330 1344 1370 1400 1425 1484 1488 1500 1520 1536 1550 1590 1596 1600 1643 1644 1680 1696 1736 1750 1767 1792 1824 1855 1860 1900 1918 1920 1984 1995 2000 2014 2048 2055 2100 2120 2128 2170 2192 2226 2240 2280 2325 2356 2375 2400 2432 2480 2544 2560 2603 2604 2625 2650 2660 2688 2740 2800 2850 2877 2945 2968 2976 3000 3021 3040 3072 3100 3180 3192 3200 3255 3286 3288 3325 3360 3392 3425 3472 3500 3534 3584 3648 3710 3720 3800 3836 3840 3875 3968 3975 3990 4000 4028 4096 4110 4123 4200 4240 4247 4256 4340 4384 4452 4480 4560 4650 4712 4750 4795 4800 4864 4929 4960 5035 5088 5120 5206 5208 5250 5300 5320 5376 5425 5480 5565 5600 5700 5754 5890 5936 5952 6000 6042 6080 6144 6200 6360 6384 6400 6510 6572 6576 6625 6650 6720 6784 6850 6944 7000 7049 7068 7125 7168 7261 7296 7420 7440 7600 7672 7680 7750 7809 7936 7950 7980 8000 8056 8215 8220 8246 8400 8480 8494 8512 8680 8768 8835 8904 8960 9120 9275 9300 9424 9500 9590 9600 9728 9858 9920 9975 10070 10176 10240 10275 10412 10416 10500 10600 10640 10752 10850 10960 11130 11200 11400 11501 11508 11625 11780 11872 11904 12000 12084 12160 12288 12369 12400 12720 12741 12768 12800 13015 13020 13144 13152 13250 13300 13440 13568 13700 13888 14000 14098 14136 14250 14336 14385 14522 14592 14725 14840 14880 15105 15200 15344 15360 15500 15618 15872 15900 15960 16000 16112 16275 16430 16440 16492 16625 16800 16960 16988 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296667033600 302522304000 306555934720 328452787200 335645184000 345739776000 359245236000 367867121664 370833792000 383194918400 403363072000 410565984000 433805568000 437937049600 459833902080 478993648000 484035686400 494445056000 547421312000 574792377600 605044608000 613111869440 656905574400 718490472000 741667584000 766389836800 806726144000 821131968000 867611136000 919667804160 957987296000 1094842624000 1149584755200 1210089216000 1313811148800 1436980944000 1483335168000 1532779673600 1642263936000 1839335608320 1915974592000 2189685248000 2299169510400 2420178432000 2873961888000 3065559347200 3284527872000 3831949184000 4598339020800 5747923776000 6569055744000 7663898368000 9196678041600 11495847552000 15327796736000 22991695104000 45983390208000
- Sum of all divisors σ(n): 195013341020160
- Sum of proper divisors (its aliquot sum) s(n): 149029950812160
- 45983390208000 is an abundant number, because the sum of its proper divisors (149029950812160) is greater than itself. Its abundance is 103046560604160
Bases of 45983390208000
- Binary: 10100111010010010101111010001110010000000000002
- Hexadecimal: 0x29D257A39000
- Base-36: GASH79UYO
Squares and roots of 45983390208000
- 45983390208000 squared (459833902080002) is 2114472175021190283264000000
- 45983390208000 cubed (459833902080003) is 97230599107957863463946563878912000000000
-
The
square root of 45983390208000 is 6781105.3824579367 -
The
cube root of 45983390208000 is 35826.1656054917
Scales and comparisons
How big is 45983390208000?- 45,983,390,208,000 seconds is equal to 1,462,129 years, 29 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 45,983,390,208,000 would take you about three million, six hundred fifty-five thousand, three hundred twenty-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 45983390208000 cubic inches would be around 2985.5 feet tall.
Recreational maths with 45983390208000
- 45983390208000 backwards is 00080209338954
- The number of decimal digits it has is: 14
- The sum of 45983390208000's digits is 51
- More coming soon!
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Cite this page
MLA style:
"Number 45983390208000 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
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Numbermatics. (2024). Number 45983390208000 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/45983390208000/
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The information we have on file for 45983390208000 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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