428258990016000
428,258,990,016,000 is an even composite number composed of seven prime numbers multiplied together.
428258990016000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 428258990016000:
29 × 32 × 53 × 112 × 132 × 103 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 13 × 103 × 353)See below for interesting mathematical facts about the number 428258990016000 from the Numbermatics database.
Names of 428258990016000
- Cardinal: 428258990016000 can be written as Four hundred twenty-eight trillion, two hundred fifty-eight billion, nine hundred ninety million, sixteen thousand.
Scientific notation
- Scientific notation: 4.28258990016 × 1014
Factors of 428258990016000
Divisors of 428258990016000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 32 33 36 39 40 44 45 48 50 52 55 60 64 65 66 72 75 78 80 88 90 96 99 100 103 104 110 117 120 121 125 128 130 132 143 144 150 156 160 165 169 176 180 192 195 198 200 206 208 220 225 234 240 242 250 256 260 264 275 286 288 300 309 312 320 325 330 338 352 353 360 363 375 384 390 396 400 412 416 429 440 450 468 480 484 495 500 507 512 515 520 528 550 572 576 585 600 605 618 624 640 650 660 676 704 706 715 720 726 750 768 780 792 800 824 825 832 845 858 880 900 927 936 960 968 975 990 1000 1014 1030 1040 1056 1059 1089 1100 1125 1133 1144 1152 1170 1200 1210 1236 1248 1280 1287 1300 1320 1339 1352 1375 1408 1412 1430 1440 1452 1500 1521 1536 1545 1560 1573 1584 1600 1625 1648 1650 1664 1690 1716 1760 1765 1800 1815 1854 1859 1872 1920 1936 1950 1980 2000 2028 2060 2080 2112 2118 2145 2178 2200 2250 2266 2288 2304 2340 2400 2420 2472 2475 2496 2535 2560 2574 2575 2600 2640 2678 2704 2750 2816 2824 2860 2880 2904 2925 3000 3025 3042 3090 3120 3146 3168 3177 3200 3250 3296 3300 3328 3380 3399 3432 3520 3530 3575 3600 3630 3708 3718 3744 3840 3872 3883 3900 3960 4000 4017 4056 4120 4125 4160 4224 4225 4236 4290 4356 4400 4500 4532 4576 4589 4608 4635 4680 4719 4800 4840 4875 4944 4950 4992 5070 5148 5150 5200 5280 5295 5356 5408 5445 5500 5577 5632 5648 5665 5720 5760 5808 5850 6000 6050 6084 6180 6240 6292 6336 6354 6400 6435 6500 6592 6600 6656 6695 6760 6798 6864 7040 7060 7150 7200 7260 7416 7436 7488 7605 7680 7725 7744 7766 7800 7865 7920 8000 8034 8112 8240 8250 8320 8448 8450 8472 8580 8712 8800 8825 9000 9064 9075 9152 9178 9270 9295 9360 9438 9600 9680 9750 9888 9900 9984 10140 10197 10296 10300 10400 10560 10590 10712 10725 10816 10890 11000 11154 11296 11330 11440 11520 11616 11649 11700 12000 12051 12100 12168 12360 12375 12463 12480 12584 12672 12675 12708 12800 12870 12875 13000 13184 13200 13390 13520 13596 13728 13767 14080 14120 14157 14300 14400 14520 14625 14729 14832 14872 14976 15125 15210 15450 15488 15532 15600 15730 15840 15885 16000 16068 16224 16480 16500 16640 16731 16896 16900 16944 16995 17160 17407 17424 17600 17650 17875 18000 18128 18150 18304 18356 18540 18590 18720 18876 19200 19360 19415 19500 19776 19800 19968 20085 20280 20394 20449 20592 20600 20800 21120 21125 21180 21424 21450 21632 21780 22000 22308 22592 22660 22880 22945 23040 23175 23232 23298 23400 23595 24000 24102 24200 24336 24720 24750 24926 24960 25168 25344 25350 25416 25740 25750 26000 26368 26400 26475 26780 27040 27192 27225 27456 27534 27885 28160 28240 28314 28325 28600 28800 29040 29250 29458 29664 29744 29952 30250 30420 30900 30976 31064 31200 31460 31680 31770 32000 32136 32175 32448 32960 33000 33280 33462 33475 33800 33888 33990 34320 34814 34848 34947 35200 35300 35750 36000 36256 36300 36359 36608 36712 37080 37180 37389 37440 37752 38025 38400 38625 38720 38830 39000 39325 39552 39600 40170 40560 40788 40898 41184 41200 41301 41600 42240 42250 42360 42713 42848 42900 43264 43560 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42825899001600 47584332224000 53532373752000 71376498336000 85651798003200 107064747504000 142752996672000 214129495008000 428258990016000
- Sum of all divisors σ(n): 1859015095793856
- Sum of proper divisors (its aliquot sum) s(n): 1430756105777856
- 428258990016000 is an abundant number, because the sum of its proper divisors (1430756105777856) is greater than itself. Its abundance is 1002497115761856
Bases of 428258990016000
- Binary: 11000010101111111110100001111100011000110000000002
- Hexadecimal: 0x1857FD0F8C600
- Base-36: 47SZGPC3K0
Squares and roots of 428258990016000
- 428258990016000 squared (4282589900160002) is 183405762529524387680256000000
- 428258990016000 cubed (4282589900160003) is 78545166624008451648787267704324096000000000
-
The
square root of 428258990016000 is 20694419.2964190229 -
The
cube root of 428258990016000 is 75376.4181505577
Scales and comparisons
How big is 428258990016000?- 428,258,990,016,000 seconds is equal to 13,617,311 years, 9 weeks, 6 days, 8 hours.
-
To count from 1 to 428,258,990,016,000 would take you about thirty-four million, forty-three thousand, two hundred seventy-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 428258990016000 cubic inches would be around 6281.4 feet tall.
Recreational maths with 428258990016000
- 428258990016000 backwards is 000610099852824
- The number of decimal digits it has is: 15
- The sum of 428258990016000's digits is 54
- More coming soon!
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MLA style:
"Number 428258990016000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 428258990016000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/428258990016000/
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Numbermatics. 2024. "Number 428258990016000 - Facts about the integer". https://numbermatics.com/n/428258990016000/
The information we have on file for 428258990016000 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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