42874251264000
42,874,251,264,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42874251264000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2520 divisors.
42874251264000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 42874251264000:
214 × 36 × 53 × 13 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 47 × 47)See below for interesting mathematical facts about the number 42874251264000 from the Numbermatics database.
Names of 42874251264000
- Cardinal: 42874251264000 can be written as Forty-two trillion, eight hundred seventy-four billion, two hundred fifty-one million, two hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.2874251264 × 1013
Factors of 42874251264000
Divisors of 42874251264000
- Number of divisors d(n): 2520
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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 30 32 36 39 40 45 47 48 50 52 54 60 64 65 72 75 78 80 81 90 94 96 100 104 108 117 120 125 128 130 135 141 144 150 156 160 162 180 188 192 195 200 208 216 225 234 235 240 243 250 256 260 270 282 288 300 312 320 324 325 351 360 375 376 384 390 400 405 416 423 432 450 468 470 480 486 500 512 520 540 564 576 585 600 611 624 640 648 650 675 702 705 720 729 750 752 768 780 800 810 832 846 864 900 936 940 960 972 975 1000 1024 1040 1053 1080 1125 1128 1152 1170 1175 1200 1215 1222 1248 1269 1280 1296 1300 1350 1404 1410 1440 1458 1500 1504 1536 1560 1600 1620 1625 1664 1692 1728 1755 1800 1833 1872 1880 1920 1944 1950 2000 2025 2048 2080 2106 2115 2160 2209 2250 2256 2304 2340 2350 2400 2430 2444 2496 2538 2560 2592 2600 2700 2808 2820 2880 2916 2925 3000 3008 3055 3072 3120 3159 3200 3240 3250 3328 3375 3384 3456 3510 3525 3600 3645 3666 3744 3760 3807 3840 3888 3900 4000 4050 4096 4160 4212 4230 4320 4418 4500 4512 4608 4680 4700 4800 4860 4875 4888 4992 5076 5120 5184 5200 5265 5400 5499 5616 5640 5760 5832 5850 5875 6000 6016 6075 6110 6144 6240 6318 6345 6400 6480 6500 6627 6656 6750 6768 6912 7020 7050 7200 7290 7332 7488 7520 7614 7680 7776 7800 8000 8100 8192 8320 8424 8460 8640 8775 8836 9000 9024 9165 9216 9360 9400 9477 9600 9720 9750 9776 9984 10125 10152 10240 10368 10400 10530 10575 10800 10998 11045 11232 11280 11421 11520 11664 11700 11750 12000 12032 12150 12220 12288 12480 12636 12690 12800 12960 13000 13254 13312 13500 13536 13824 14040 14100 14400 14580 14625 14664 14976 15040 15228 15275 15360 15552 15600 15795 16000 16200 16384 16497 16640 16848 16920 17280 17550 17625 17672 18000 18048 18225 18330 18432 18720 18800 18954 19035 19200 19440 19500 19552 19881 19968 20250 20304 20480 20736 20800 21060 21150 21600 21996 22090 22464 22560 22842 23040 23328 23400 23500 24000 24064 24300 24440 24576 24960 25272 25380 25600 25920 26000 26325 26508 26624 27000 27072 27495 27648 28080 28200 28717 28800 29160 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27483494400 27912924000 28506816000 28582834176 29406208000 29773785600 30407270400 30537216000 31758704640 32980193280 33081984000 33495508800 33785856000 34354368000 35085312000 35287449600 35728542720 36488724480 36644659200 37217232000 38009088000 38110445568 39698380800 40716288000 41225241600 41869386000 42874251264 43973591040 44109312000 44660678400 45610905600 45805824000 47638056960 49622976000 50678784000 51531552000 52931174400 53592814080 54966988800 55825848000 57013632000 57165668352 58812416000 59547571200 60814540800 61074432000 63517409280 65960386560 66163968000 66991017600 68708736000 70170624000 71457085440 73289318400 74434464000 76018176000 79396761600 82450483200 83738772000 85748502528 88218624000 89321356800 91221811200 91611648000 95276113920 99245952000 101357568000 103063104000 105862348800 107185628160 109933977600 111651696000 114027264000 114331336704 119095142400 122148864000 131920773120 132327936000 133982035200 137417472000 142914170880 148868928000 152036352000 158793523200 164900966400 167477544000 171497005056 176437248000 178642713600 182443622400 183223296000 190552227840 198491904000 206126208000 214371256320 219867955200 223303392000 228054528000 238190284800 264655872000 267964070400 274834944000 285828341760 297737856000 304072704000 317587046400 329801932800 334955088000 342994010112 357285427200 366446592000 396983808000 412252416000 428742512640 446606784000 456109056000 476380569600 529311744000 535928140800 549669888000 571656683520 595475712000 659603865600 669910176000 714570854400 793967616000 824504832000 857485025280 893213568000 912218112000 952761139200 1071856281600 1099339776000 1190951424000 1339820352000 1429141708800 1587935232000 1649009664000 1714970050560 1786427136000 2143712563200 2381902848000 2679640704000 2858283417600 3298019328000 3572854272000 4287425126400 4763805696000 5359281408000 7145708544000 8574850252800 10718562816000 14291417088000 21437125632000 42874251264000
- Sum of all divisors σ(n): 176539152026328
- Sum of proper divisors (its aliquot sum) s(n): 133664900762328
- 42874251264000 is an abundant number, because the sum of its proper divisors (133664900762328) is greater than itself. Its abundance is 90790649498328
Bases of 42874251264000
- Binary: 10011011111110011100001000010001000000000000002
- Hexadecimal: 0x26FE70844000
- Base-36: F745Q8000
Squares and roots of 42874251264000
- 42874251264000 squared (428742512640002) is 1838201421448605597696000000
- 42874251264000 cubed (428742512640003) is 78811509617029475258055203487744000000000
-
The
square root of 42874251264000 is 6547843.2528581501 -
The
cube root of 42874251264000 is 34999.7962611269
Scales and comparisons
How big is 42874251264000?- 42,874,251,264,000 seconds is equal to 1,363,268 years, 29 weeks, 5 days.
-
To count from 1 to 42,874,251,264,000 would take you about three million, four hundred eight thousand, one hundred seventy-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 42874251264000 cubic inches would be around 2916.6 feet tall.
Recreational maths with 42874251264000
- 42874251264000 backwards is 00046215247824
- 42874251264000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42874251264000's digits is 45
- More coming soon!
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The information we have on file for 42874251264000 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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