42828577861132800
42,828,577,861,132,800 is an even composite number composed of six prime numbers multiplied together.
42828577861132800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 42828577861132800:
29 × 35 × 52 × 11 × 17 × 85812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 17 × 8581 × 8581)See below for interesting mathematical facts about the number 42828577861132800 from the Numbermatics database.
Names of 42828577861132800
- Cardinal: 42828577861132800 can be written as Forty-two quadrillion, eight hundred twenty-eight trillion, five hundred seventy-seven billion, eight hundred sixty-one million, one hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 4.28285778611328 × 1016
Factors of 42828577861132800
Divisors of 42828577861132800
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 27 30 32 33 34 36 40 44 45 48 50 51 54 55 60 64 66 68 72 75 80 81 85 88 90 96 99 100 102 108 110 120 128 132 135 136 144 150 153 160 162 165 170 176 180 187 192 198 200 204 216 220 225 240 243 255 256 264 270 272 275 288 297 300 306 320 324 330 340 352 360 374 384 396 400 405 408 425 432 440 450 459 480 486 495 510 512 528 540 544 550 561 576 594 600 612 640 648 660 675 680 704 720 748 765 768 792 800 810 816 825 850 864 880 891 900 918 935 960 972 990 1020 1056 1080 1088 1100 1122 1152 1188 1200 1215 1224 1275 1280 1296 1320 1350 1360 1377 1408 1440 1485 1496 1530 1536 1584 1600 1620 1632 1650 1683 1700 1728 1760 1782 1800 1836 1870 1920 1944 1980 2025 2040 2112 2160 2176 2200 2244 2295 2304 2376 2400 2430 2448 2475 2550 2560 2592 2640 2673 2700 2720 2754 2805 2816 2880 2970 2992 3060 3168 3200 3240 3264 3300 3366 3400 3456 3520 3564 3600 3672 3740 3825 3840 3888 3960 4050 4080 4131 4224 4320 4352 4400 4455 4488 4590 4608 4675 4752 4800 4860 4896 4950 5049 5100 5184 5280 5346 5400 5440 5508 5610 5632 5760 5940 5984 6075 6120 6336 6400 6480 6528 6600 6732 6800 6885 6912 7040 7128 7200 7344 7425 7480 7650 7680 7776 7920 8100 8160 8262 8415 8448 8581 8640 8704 8800 8910 8976 9180 9350 9504 9600 9720 9792 9900 10098 10200 10368 10560 10692 10800 10880 11016 11220 11475 11520 11880 11968 12150 12240 12672 12800 12960 13056 13200 13365 13464 13600 13770 13824 14025 14080 14256 14400 14688 14850 14960 15147 15300 15552 15840 16200 16320 16524 16830 16896 17162 17280 17600 17820 17952 18360 18700 19008 19200 19440 19584 19800 20196 20400 20655 20736 21120 21384 21600 21760 22032 22275 22440 22950 23040 23760 23936 24300 24480 25245 25344 25743 25920 26112 26400 26730 26928 27200 27540 28050 28160 28512 28800 29376 29700 29920 30294 30600 31104 31680 32400 32640 33048 33660 34324 34425 34560 35200 35640 35904 36720 37400 38016 38400 38880 39168 39600 40392 40800 41310 41472 42075 42240 42768 42905 43200 43520 44064 44550 44880 45441 45900 47520 47872 48600 48960 50490 50688 51486 51840 52800 53460 53856 54400 55080 56100 57024 57600 58752 59400 59840 60588 61200 62208 63360 64800 65280 66096 66825 67320 68648 68850 69120 70400 71280 71808 73440 74800 75735 76032 77229 77760 78336 79200 80784 81600 82620 84150 84480 85536 85810 86400 88128 89100 89760 90882 91800 94391 95040 95744 97200 97920 100980 102972 103275 103680 105600 106920 107712 108800 110160 112200 114048 115200 117504 118800 119680 121176 122400 124416 126225 126720 128715 129600 130560 132192 133650 134640 137296 137700 140800 142560 143616 145877 146880 149600 151470 152064 154458 155520 158400 161568 163200 165240 168300 171072 171620 172800 176256 178200 179520 181764 183600 188782 190080 194400 195840 201960 205944 206550 207360 211200 213840 214525 215424 217600 220320 224400 227205 228096 231687 235008 237600 239360 242352 244800 252450 253440 257430 259200 264384 267300 269280 274592 275400 283173 285120 287232 291754 293760 299200 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13996267274880 14314364258400 14420396586240 14871033979560 15209012024550 15268655208960 15551408083200 15745800684240 15862436244864 16022662873600 16222946159520 16523371088400 16729913227005 16795520729856 17304475903488 17495334093600 17624929160960 17845240775472 18025495732800 18588792474450 18661689699840 19085819011200 19467535391424 19682250855300 19828045306080 20278682699400 20994400912320 21149914993152 21630594879360 22031161451200 22306550969340 22902982813440 23327112124800 23793654367296 24033994310400 24334419239280 24785056632600 25193281094784 25447758681600 25956713855232 26243001140400 26437393741440 26767861163208 27038243599200 27883188711675 27992534549760 28628728516800 28840793172480 29742067959120 30418024049100 31102816166400 31491601368480 31724872489728 32445892319040 33046742176800 33459826454010 33591041459712 34990668187200 35249858321920 35690481550944 36050991465600 37177584948900 38171638022400 38935070782848 39364501710600 39656090612160 40557365398800 41988801824640 43261189758720 44062322902400 44613101938680 45805965626880 46654224249600 47587308734592 48067988620800 48668838478560 49570113265200 50386562189568 51913427710464 52486002280800 52874787482880 53535722326416 54076487198400 55766377423350 55985069099520 57257457033600 59484135918240 60836048098200 62983202736960 63449744979456 64891784638080 66093484353600 66919652908020 69981336374400 71380963101888 72101982931200 74355169897800 76343276044800 77870141565696 78729003421200 79312181224320 81114730797600 83649566135025 83977603649280 86522379517440 88124645804800 89226203877360 93308448499200 95174617469184 97337676957120 99140226530400 100773124379136 104972004561600 105749574965760 107071444652832 108152974396800 111532754846700 114514914067200 118968271836480 121672096196400 125966405473920 129783569276160 132186968707200 133839305816040 139962672748800 142761926203776 144203965862400 148710339795600 155740283131392 157458006842400 158624362448640 162229461595200 167299132270050 167955207298560 176249291609600 178452407754720 190349234938368 194675353914240 198280453060800 209944009123200 214142889305664 216305948793600 223065509693400 229029828134400 237936543672960 243344192392800 251932810947840 259567138552320 264373937414400 267678611632080 279925345497600 285523852407552 297420679591200 314916013684800 317248724897280 324458923190400 334598264540100 356904815509440 389350707828480 396560906121600 419888018246400 428285778611328 432611897587200 446131019386800 475873087345920 486688384785600 503865621895680 528747874828800 535357223264160 571047704815104 594841359182400 629832027369600 648917846380800 669196529080200 713809631018880 778701415656960 793121812243200 839776036492800 856571557222656 892262038773600 951746174691840 973376769571200 1070714446528320 1189682718364800 1259664054739200 1297835692761600 1338393058160400 1427619262037760 1586243624486400 1713143114445312 1784524077547200 1946753539142400 2141428893056640 2379365436729600 2519328109478400 2676786116320800 2855238524075520 3569048155094400 3893507078284800 4282857786113280 4758730873459200 5353572232641600 7138096310188800 8565715572226560 10707144465283200 14276192620377600 21414288930566400 42828577861132800
- Sum of all divisors σ(n): 183619533802120416
- Sum of proper divisors (its aliquot sum) s(n): 140790955940987616
- 42828577861132800 is an abundant number, because the sum of its proper divisors (140790955940987616) is greater than itself. Its abundance is 97962378079854816
Bases of 42828577861132800
- Binary: 100110000010100001011101010110011010010111100010000000002
- Hexadecimal: 0x98285D59A5E200
- Base-36: BPPGP1TEO00
Squares and roots of 42828577861132800
- 42828577861132800 squared (428285778611328002) is 1834287081607114605600899235840000
- 42828577861132800 cubed (428285778611328003) is 78559907094280362221965844433412641156759552000000
-
The
square root of 42828577861132800 is 206950665.2831365025 -
The
cube root of 42828577861132800 is 349873.6356375535
Scales and comparisons
How big is 42828577861132800?- 42,828,577,861,132,800 seconds is equal to 1,361,816,298 years, 25 weeks, 5 days.
-
To count from 1 to 42,828,577,861,132,800 would take you about four billion, eighty-five million, four hundred forty-eight thousand, eight hundred ninety-five 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 42828577861132800 cubic inches would be around 29156.1 feet tall.
Recreational maths with 42828577861132800
- 42828577861132800 backwards is 00823116877582824
- 42828577861132800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42828577861132800's digits is 72
- More coming soon!
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Cite this page
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"Number 42828577861132800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 42828577861132800 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/42828577861132800/
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The information we have on file for 42828577861132800 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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