3424427974656000
3,424,427,974,656,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 3424427974656000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 4896 divisors.
3424427974656000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four thousand, eight hundred ninety-six divisors.
Prime factorization of 3424427974656000:
216 × 38 × 53 × 133 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 29)See below for interesting mathematical facts about the number 3424427974656000 from the Numbermatics database.
Names of 3424427974656000
- Cardinal: 3424427974656000 can be written as Three quadrillion, four hundred twenty-four trillion, four hundred twenty-seven billion, nine hundred seventy-four million, six hundred fifty-six thousand.
Scientific notation
- Scientific notation: 3.424427974656 × 1015
Factors of 3424427974656000
Divisors of 3424427974656000
- Number of divisors d(n): 4896
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 32 36 39 40 45 48 50 52 54 58 60 64 65 72 75 78 80 81 87 90 96 100 104 108 116 117 120 125 128 130 135 144 145 150 156 160 162 169 174 180 192 195 200 208 216 225 232 234 240 243 250 256 260 261 270 288 290 300 312 320 324 325 338 348 351 360 375 377 384 390 400 405 416 432 435 450 464 468 480 486 500 507 512 520 522 540 576 580 585 600 624 640 648 650 675 676 696 702 720 725 729 750 754 768 780 783 800 810 832 845 864 870 900 928 936 960 972 975 1000 1014 1024 1040 1044 1053 1080 1125 1131 1152 1160 1170 1200 1215 1248 1280 1296 1300 1305 1350 1352 1392 1404 1440 1450 1458 1500 1508 1521 1536 1560 1566 1600 1620 1625 1664 1690 1728 1740 1755 1800 1856 1872 1885 1920 1944 1950 2000 2025 2028 2048 2080 2088 2106 2160 2175 2187 2197 2250 2262 2304 2320 2340 2349 2400 2430 2496 2535 2560 2592 2600 2610 2700 2704 2784 2808 2880 2900 2916 2925 3000 3016 3042 3072 3120 3132 3159 3200 3240 3250 3328 3375 3380 3393 3456 3480 3510 3600 3625 3645 3712 3744 3770 3840 3888 3900 3915 4000 4050 4056 4096 4160 4176 4212 4225 4320 4350 4374 4394 4500 4524 4563 4608 4640 4680 4698 4800 4860 4875 4901 4992 5070 5120 5184 5200 5220 5265 5400 5408 5568 5616 5655 5760 5800 5832 5850 6000 6032 6075 6084 6144 6240 6264 6318 6400 6480 6500 6525 6561 6591 6656 6750 6760 6786 6912 6960 7020 7047 7200 7250 7290 7424 7488 7540 7605 7680 7776 7800 7830 8000 8100 8112 8192 8320 8352 8424 8450 8640 8700 8748 8775 8788 9000 9048 9126 9216 9280 9360 9396 9425 9477 9600 9720 9750 9802 9984 10125 10140 10179 10240 10368 10400 10440 10530 10800 10816 10875 10935 10985 11136 11232 11310 11520 11600 11664 11700 11745 12000 12064 12150 12168 12288 12480 12528 12636 12675 12800 12960 13000 13050 13122 13182 13312 13500 13520 13572 13689 13824 13920 14040 14094 14400 14500 14580 14625 14703 14848 14976 15080 15210 15360 15552 15600 15660 15795 16000 16200 16224 16384 16640 16704 16848 16900 16965 17280 17400 17496 17550 17576 18000 18096 18225 18252 18432 18560 18720 18792 18850 18954 19200 19440 19500 19575 19604 19773 19968 20250 20280 20358 20480 20736 20800 20880 21060 21125 21141 21600 21632 21750 21870 21970 22272 22464 22620 22815 23040 23200 23328 23400 23490 24000 24128 24300 24336 24505 24576 24960 25056 25272 25350 25600 25920 26000 26100 26244 26325 26364 26624 27000 27040 27144 27378 27648 27840 28080 28188 28275 28431 28800 29000 29160 29250 29406 29696 29952 30160 30375 30420 30537 30720 31104 31200 31320 31590 32000 32400 32448 32625 32768 32805 32955 33280 33408 33696 33800 33930 34560 34800 34992 35100 35152 35235 36000 36192 36450 36504 36864 37120 37440 37584 37700 37908 38025 38400 38880 39000 39150 39208 39546 39936 40500 40560 40716 40960 41067 41472 41600 41760 42120 42250 42282 43200 43264 43500 43740 43875 43940 44109 44544 44928 45240 45630 46080 46400 46656 46800 46980 47125 47385 48000 48256 48600 48672 49010 49152 49920 50112 50544 50700 50895 51200 51840 52000 52200 52488 52650 52728 53248 54000 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8231798016000 8455377715200 8561069936640 8780584550400 8917781184000 9083363328000 9131807932416 9512299929600 9756205056000 9840310272000 10131443712000 10536701460480 10569222144000 10701337420800 10975730688000 11414759915520 11808372326400 11890374912000 12683066572800 13120413696000 13170876825600 13376671776000 13697711898624 14092296192000 14268449894400 14634307584000 14760465408000 15219679887360 15853833216000 16463596032000 17122139873280 17561169100800 17835562368000 19024599859200 19680620544000 20262887424000 21138444288000 21402674841600 21951461376000 22829519831040 23616744652800 23780749824000 25366133145600 26341753651200 26753343552000 27395423797248 28536899788800 29268615168000 29520930816000 31707666432000 32927192064000 34244279746560 35671124736000 38049199718400 39361241088000 42276888576000 42805349683200 43902922752000 45659039662080 47561499648000 52683507302400 53506687104000 57073799577600 59041861632000 63415332864000 65854384128000 68488559493120 71342249472000 76098399436800 85610699366400 87805845504000 95122999296000 107013374208000 114147599155200 118083723264000 126830665728000 131708768256000 136977118986240 142684498944000 171221398732800 190245998592000 214026748416000 228295198310400 263417536512000 285368997888000 342442797465600 380491997184000 428053496832000 570737995776000 684885594931200 856106993664000 1141475991552000 1712213987328000 3424427974656000
- Sum of all divisors σ(n): 14367084789002400
- Sum of proper divisors (its aliquot sum) s(n): 10942656814346400
- 3424427974656000 is an abundant number, because the sum of its proper divisors (10942656814346400) is greater than itself. Its abundance is 7518228839690400
Bases of 3424427974656000
- Binary: 11000010101001111111110001001111110100000000000000002
- Hexadecimal: 0xC2A7FC4FD0000
- Base-36: XPUWHS0000
Squares and roots of 3424427974656000
- 3424427974656000 squared (34244279746560002) is 11726706953606594178318336000000
- 3424427974656000 cubed (34244279746560003) is 40157263342523461056664779856508092416000000000
-
The
square root of 3424427974656000 is 58518612.2071943875 -
The
cube root of 3424427974656000 is 150728.7203360523
Scales and comparisons
How big is 3424427974656000?- 3,424,427,974,656,000 seconds is equal to 108,886,217 years, 7 weeks, 3 days.
-
To count from 1 to 3,424,427,974,656,000 would take you about three hundred twenty-six million, six hundred fifty-eight thousand, six hundred fifty-one 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 3424427974656000 cubic inches would be around 12560.7 feet tall.
Recreational maths with 3424427974656000
- 3424427974656000 backwards is 0006564797244243
- The number of decimal digits it has is: 16
- The sum of 3424427974656000's digits is 63
- More coming soon!
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"Number 3424427974656000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 3424427974656000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/3424427974656000/
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The information we have on file for 3424427974656000 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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