428427822961600
428,427,822,961,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428427822961600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3402 divisors.
428427822961600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred two divisors.
Prime factorization of 428427822961600:
26 × 52 × 72 × 112 × 172 × 31 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 11 × 17 × 17 × 31 × 71 × 71)See below for interesting mathematical facts about the number 428427822961600 from the Numbermatics database.
Names of 428427822961600
- Cardinal: 428427822961600 can be written as Four hundred twenty-eight trillion, four hundred twenty-seven billion, eight hundred twenty-two million, nine hundred sixty-one thousand, six hundred.
Scientific notation
- Scientific notation: 4.284278229616 × 1014
Factors of 428427822961600
Divisors of 428427822961600
- Number of divisors d(n): 3402
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 31 32 34 35 40 44 49 50 55 56 62 64 68 70 71 77 80 85 88 98 100 110 112 119 121 124 136 140 142 154 155 160 170 175 176 187 196 200 217 220 224 238 242 245 248 272 275 280 284 289 308 310 320 340 341 350 352 355 374 385 392 400 425 434 440 448 476 484 490 496 497 527 539 544 550 560 568 578 595 605 616 620 680 682 700 704 710 748 770 775 781 784 800 833 847 850 868 880 935 952 968 980 992 994 1054 1078 1085 1088 1100 1120 1136 1156 1190 1207 1210 1225 1232 1240 1309 1360 1364 1400 1420 1445 1496 1519 1540 1550 1562 1568 1600 1666 1694 1700 1705 1736 1760 1775 1870 1904 1925 1936 1960 1984 1988 2023 2057 2108 2156 2170 2200 2201 2240 2272 2312 2380 2387 2414 2420 2450 2464 2480 2485 2618 2635 2695 2720 2728 2800 2840 2890 2975 2992 3025 3038 3080 3100 3124 3136 3179 3332 3388 3400 3410 3472 3479 3520 3550 3689 3740 3751 3808 3850 3872 3905 3920 3976 4046 4114 4165 4216 4235 4312 4340 4400 4402 4544 4624 4675 4760 4774 4828 4840 4900 4928 4960 4970 5041 5236 5270 5390 5425 5440 5456 5467 5600 5680 5780 5797 5929 5950 5984 6035 6050 6076 6160 6200 6248 6358 6545 6664 6776 6800 6820 6944 6958 7100 7225 7378 7480 7502 7595 7616 7700 7744 7810 7840 7952 8092 8228 8330 8432 8449 8470 8525 8591 8624 8680 8800 8804 8959 9163 9248 9350 9520 9548 9656 9680 9800 9920 9940 10082 10115 10285 10472 10540 10780 10850 10912 10934 11005 11200 11360 11560 11594 11858 11900 11935 11968 12070 12100 12152 12320 12400 12425 12496 12716 13090 13175 13277 13328 13475 13552 13600 13640 13888 13916 14161 14200 14399 14450 14756 14960 15004 15190 15400 15407 15620 15680 15895 15904 16184 16456 16660 16709 16864 16898 16940 17050 17182 17248 17360 17395 17600 17608 17918 18326 18445 18496 18700 18755 19040 19096 19312 19360 19525 19600 19880 20164 20230 20519 20570 20825 20944 21080 21175 21560 21700 21824 21868 22010 22253 22720 23120 23188 23716 23800 23870 24140 24200 24211 24304 24640 24800 24850 24992 25205 25432 25823 26180 26257 26350 26554 26656 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1206838937920 1217124497050 1224079494176 1256386577600 1260081832240 1338836946755 1382025235360 1390999425200 1482449214400 1508548672400 1530099367720 1557919356224 1575102290300 1727531544200 1748684991680 1770362904800 1800116903200 1912624209650 1947399195280 1974321764800 2142139114808 2185856239600 2291057876800 2434248994100 2448158988352 2520163664480 2677673893510 2764050470720 2781998850400 3017097344800 3060198735440 3150204580600 3455063088400 3540725809600 3600233806400 3825248419300 3894798390560 4284278229616 4371712479200 4868497988200 5040327328960 5355347787020 5563997700800 6034194689600 6120397470880 6300409161200 6694184733775 6910126176800 7650496838600 7789596781120 8568556459232 8743424958400 9736995976400 10710695574040 12240794941760 12600818322400 13388369467550 13820252353600 15300993677200 17137112918464 19473991952800 21421391148080 25201636644800 26776738935100 30601987354400 38947983905600 42842782296160 53553477870200 61203974708800 85685564592320 107106955740400 214213911480800 428427822961600
- Sum of all divisors σ(n): 1499187864106464
- Sum of proper divisors (its aliquot sum) s(n): 1070760041144864
- 428427822961600 is an abundant number, because the sum of its proper divisors (1070760041144864) is greater than itself. Its abundance is 642332218183264
Bases of 428427822961600
- Binary: 11000010110100111001000000011001100010011110000002
- Hexadecimal: 0x185A7203313C0
- Base-36: 47V50W424G
Squares and roots of 428427822961600
- 428427822961600 squared (4284278229616002) is 183550399487616072195074560000
- 428427822961600 cubed (4284278229616003) is 78638098056211333930022167891192016896000000
-
The
square root of 428427822961600 is 20698498.0846823763 -
The
cube root of 428427822961600 is 75386.3220880015
Scales and comparisons
How big is 428427822961600?- 428,427,822,961,600 seconds is equal to 13,622,679 years, 28 weeks, 6 days, 8 hours, 26 minutes, 40 seconds.
-
To count from 1 to 428,427,822,961,600 would take you about thirty-four million, fifty-six thousand, six hundred ninety-eight 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 428427822961600 cubic inches would be around 6282.2 feet tall.
Recreational maths with 428427822961600
- 428427822961600 backwards is 006169228724824
- The number of decimal digits it has is: 15
- The sum of 428427822961600's digits is 61
- More coming soon!
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Cite this page
MLA style:
"Number 428427822961600 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 428427822961600 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/428427822961600/
Chicago style:
Numbermatics. 2024. "Number 428427822961600 - Facts about the integer". https://numbermatics.com/n/428427822961600/
The information we have on file for 428427822961600 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 428427822961600, math, Factors of 428427822961600, curriculum, school, college, exams, university, Prime factorization of 428427822961600, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, four hundred twenty-seven billion, eight hundred twenty-two million, nine hundred sixty-one thousand, six hundred.