42148718976000
42,148,718,976,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42148718976000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 4224 divisors.
42148718976000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand, two hundred twenty-four divisors.
Prime factorization of 42148718976000:
210 × 3 × 53 × 7 × 132 × 31 × 41 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 31 × 41 × 73)See below for interesting mathematical facts about the number 42148718976000 from the Numbermatics database.
Names of 42148718976000
- Cardinal: 42148718976000 can be written as Forty-two trillion, one hundred forty-eight billion, seven hundred eighteen million, nine hundred seventy-six thousand.
Scientific notation
- Scientific notation: 4.2148718976 × 1013
Factors of 42148718976000
Divisors of 42148718976000
- Number of divisors d(n): 4224
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 31 32 35 39 40 41 42 48 50 52 56 60 62 64 65 70 73 75 78 80 82 84 91 93 96 100 104 105 112 120 123 124 125 128 130 140 146 150 155 156 160 164 168 169 175 182 186 192 195 200 205 208 210 217 219 224 240 246 248 250 256 260 273 280 287 292 300 310 312 320 325 328 336 338 350 364 365 372 375 384 390 400 403 410 416 420 434 438 448 455 465 480 492 496 500 507 511 512 520 525 533 546 560 574 584 600 615 620 624 640 650 651 656 672 676 700 728 730 744 750 768 775 780 800 806 820 832 840 845 861 868 875 876 896 910 930 949 960 975 984 992 1000 1014 1022 1024 1025 1040 1050 1066 1085 1092 1095 1120 1148 1168 1183 1200 1209 1230 1240 1248 1271 1280 1300 1302 1312 1344 1352 1365 1400 1435 1456 1460 1488 1500 1533 1536 1550 1560 1599 1600 1612 1625 1640 1664 1680 1690 1722 1736 1750 1752 1792 1820 1825 1860 1898 1920 1950 1968 1984 2000 2015 2028 2044 2050 2080 2100 2132 2170 2184 2190 2240 2263 2275 2296 2325 2336 2366 2400 2418 2460 2480 2496 2535 2542 2555 2560 2600 2604 2624 2625 2665 2688 2704 2730 2800 2821 2847 2870 2912 2920 2976 2993 3000 3066 3072 3075 3100 3120 3198 3200 3224 3250 3255 3280 3328 3360 3380 3444 3472 3500 3504 3549 3584 3640 3650 3720 3731 3796 3813 3840 3875 3900 3936 3968 4000 4030 4056 4088 4100 4160 4200 4225 4264 4305 4340 4368 4380 4480 4526 4550 4592 4650 4672 4732 4745 4800 4836 4875 4920 4960 4992 5070 5084 5110 5120 5125 5200 5208 5239 5248 5250 5330 5376 5408 5425 5460 5475 5600 5642 5694 5740 5824 5840 5915 5952 5986 6000 6045 6132 6150 6200 6240 6355 6396 6400 6448 6500 6510 6560 6643 6656 6720 6760 6789 6825 6888 6929 6944 7000 7008 7098 7168 7175 7280 7300 7440 7462 7592 7626 7665 7680 7750 7800 7872 7936 7995 8000 8060 8112 8176 8200 8320 8400 8450 8463 8528 8610 8680 8736 8760 8897 8960 8979 9052 9100 9125 9184 9300 9344 9464 9490 9600 9672 9750 9840 9920 9984 10075 10140 10168 10220 10250 10400 10416 10478 10496 10500 10660 10752 10816 10850 10920 10950 11193 11200 11284 11315 11375 11388 11480 11625 11648 11680 11830 11904 11972 12000 12090 12264 12300 12337 12400 12480 12675 12710 12775 12792 12800 12896 13000 13020 13120 13286 13312 13325 13440 13520 13578 13650 13776 13858 13888 14000 14016 14105 14196 14235 14350 14560 14600 14880 14924 14965 15184 15252 15330 15360 15375 15500 15600 15717 15744 15841 15872 15990 16000 16120 16224 16275 16352 16400 16523 16640 16800 16900 16926 17056 17220 17360 17472 17520 17745 17794 17920 17958 18104 18200 18250 18368 18600 18655 18688 18928 18980 19065 19200 19344 19500 19680 19840 19929 19968 20150 20280 20336 20440 20500 20787 20800 20832 20951 20956 20992 21000 21125 21320 21504 21525 21632 21700 21840 21900 22386 22400 22568 22630 22750 22776 22960 23250 23296 23360 23660 23725 23808 23944 24000 24180 24528 24600 24674 24800 24960 25350 25420 25550 25584 25600 25792 26000 26040 26195 26240 26572 26650 26691 26880 27040 27125 27156 27300 27375 27552 27716 27776 28000 28032 28210 28392 28470 28700 29120 29200 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144344928000 146859648000 150531139200 154390912000 162110457600 164643433500 168594875904 169954512000 171336256000 175619662400 188163924000 192459904000 194233728000 200708185600 202638072000 205603507200 210743594880 216147276800 219524578000 226606016000 231586368000 240849822720 249400704000 250885232000 257004384000 263429493600 270184096000 271927219200 280991459840 288689856000 301062278400 324220915200 329286867000 337189751808 339909024000 342672512000 351239324800 376327848000 401416371200 405276144000 421487189760 439049156000 453212032000 463172736000 501770464000 514008768000 526858987200 540368192000 561982919680 577379712000 602124556800 648441830400 658573734000 679818048000 702478649600 752655696000 810552288000 842974379520 878098312000 1003540928000 1028017536000 1053717974400 1080736384000 1204249113600 1317147468000 1359636096000 1404957299200 1505311392000 1621104576000 1685948759040 1756196624000 2007081856000 2107435948800 2634294936000 2809914598400 3010622784000 3242209152000 3512393248000 4214871897600 5268589872000 6021245568000 7024786496000 8429743795200 10537179744000 14049572992000 21074359488000 42148718976000
- Sum of all divisors σ(n): 185983534743552
- Sum of proper divisors (its aliquot sum) s(n): 143834815767552
- 42148718976000 is an abundant number, because the sum of its proper divisors (143834815767552) is greater than itself. Its abundance is 101686096791552
Bases of 42148718976000
- Binary: 10011001010101100000110110110000011100000000002
- Hexadecimal: 0x2655836C1C00
- Base-36: EXUUR13PC
Squares and roots of 42148718976000
- 42148718976000 squared (421487189760002) is 1776514511317822488576000000
- 42148718976000 cubed (421487189760003) is 74877810894320871491242794418176000000000
-
The
square root of 42148718976000 is 6492204.4773713033 -
The
cube root of 42148718976000 is 34801.2459852467
Scales and comparisons
How big is 42148718976000?- 42,148,718,976,000 seconds is equal to 1,340,198 years, 46 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 42,148,718,976,000 would take you about three million, three hundred fifty thousand, four hundred ninety-seven 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 42148718976000 cubic inches would be around 2900.1 feet tall.
Recreational maths with 42148718976000
- 42148718976000 backwards is 00067981784124
- The number of decimal digits it has is: 14
- The sum of 42148718976000's digits is 57
- More coming soon!
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"Number 42148718976000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 42148718976000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/42148718976000/
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The information we have on file for 42148718976000 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!
Keywords: Divisors of 42148718976000, math, Factors of 42148718976000, curriculum, school, college, exams, university, Prime factorization of 42148718976000, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred forty-eight billion, seven hundred eighteen million, nine hundred seventy-six thousand.