428713889054400
428,713,889,054,400 is an even composite number composed of eight prime numbers multiplied together.
428713889054400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 428713889054400:
26 × 34 × 52 × 19 × 29 × 41 × 181 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 19 × 29 × 41 × 181 × 809)See below for interesting mathematical facts about the number 428713889054400 from the Numbermatics database.
Names of 428713889054400
- Cardinal: 428713889054400 can be written as Four hundred twenty-eight trillion, seven hundred thirteen billion, eight hundred eighty-nine million, fifty-four thousand, four hundred.
Scientific notation
- Scientific notation: 4.287138890544 × 1014
Factors of 428713889054400
Divisors of 428713889054400
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 29 30 32 36 38 40 41 45 48 50 54 57 58 60 64 72 75 76 80 81 82 87 90 95 96 100 108 114 116 120 123 135 144 145 150 152 160 162 164 171 174 180 181 190 192 200 205 216 225 228 232 240 246 261 270 285 288 290 300 304 320 324 328 342 348 360 362 369 380 400 405 410 432 435 450 456 464 475 480 492 513 522 540 543 551 570 576 580 600 608 615 648 656 675 684 696 720 724 725 738 760 779 783 800 809 810 820 855 864 870 900 905 912 928 950 960 984 1025 1026 1044 1080 1086 1102 1107 1140 1160 1189 1200 1216 1230 1296 1305 1312 1350 1368 1392 1425 1440 1448 1450 1476 1520 1539 1558 1566 1600 1618 1620 1629 1640 1653 1710 1728 1740 1800 1810 1824 1845 1856 1900 1968 2025 2050 2052 2088 2160 2172 2175 2204 2214 2280 2320 2337 2349 2378 2400 2427 2460 2565 2592 2610 2624 2700 2715 2736 2755 2784 2850 2880 2896 2900 2952 3040 3075 3078 3116 3132 3236 3240 3258 3280 3306 3321 3420 3439 3480 3567 3600 3620 3648 3690 3800 3895 3915 3936 4045 4050 4100 4104 4176 4275 4320 4344 4350 4408 4428 4525 4560 4640 4674 4698 4756 4800 4854 4887 4920 4959 5130 5184 5220 5249 5400 5430 5472 5510 5535 5568 5700 5792 5800 5904 5945 6080 6150 6156 6232 6264 6472 6480 6516 6525 6560 6612 6642 6840 6878 6960 7011 7134 7200 7240 7281 7380 7421 7600 7695 7790 7830 7872 8090 8100 8145 8200 8208 8265 8352 8550 8640 8688 8700 8816 8856 9050 9120 9225 9280 9348 9396 9512 9708 9774 9840 9918 10260 10317 10440 10498 10701 10800 10860 10944 11020 11070 11400 11584 11600 11685 11745 11808 11890 12135 12300 12312 12464 12528 12825 12944 12960 13032 13050 13120 13224 13284 13575 13680 13756 13775 13920 14022 14268 14400 14480 14562 14661 14760 14842 14877 15200 15371 15390 15580 15660 15747 16180 16200 16290 16400 16416 16530 16605 16704 17100 17195 17376 17400 17632 17712 17835 18100 18240 18450 18696 18792 19024 19416 19475 19548 19575 19680 19836 20225 20520 20634 20880 20996 21033 21402 21600 21720 21843 22040 22140 22263 22591 22800 23200 23370 23461 23490 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68440914600 68792344200 69641632400 69709575456 70512152805 72113353920 72614141100 73916187768 74018281950 75212962992 76996028925 77455083840 77806513440 78346836450 78952834080 79391460936 81675345600 82129097520 82699438475 83569958880 86451681600 87136969320 87725371200 88321773600 89315393553 90141692400 91254552800 91723125600 92395234710 94016203740 94743400896 96818854800 97258141800 98554917024 98691042600 99239326170 100283950656 102661371900 104462448600 104564363184 105855281248 105986128320 108921211650 109505463360 110067750720 112819444488 116182625760 117520254675 118429251120 119087191404 120188923200 123193646280 124662369600 125354938320 129091806400 129677522400 130705453980 131588056800 132319101560 132482660400 136881829200 137584688400 139283264800 139419150912 141024305610 145228282200 147832375536 148036563900 148858989255 150425925984 153992057850 155613026880 156693672900 157905668160 158782921872 163381817475 164258195040 165398876950 167139917760 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564097222440 580913128800 591329502144 592146255600 595435957020 615968231400 626774691600 635131687488 653527269900 661595507800 697095754560 705121528050 714523148424 739161877680 744294946275 752129629920 778065134400 789528340800 793914609360 821290975200 835699588800 871369693200 893153935530 902555555904 923952347100 940162037400 952697531232 985549170240 992393261700 1045643631840 1058552812480 1071784722636 1128194444880 1161826257600 1184292511200 1190871914040 1231936462800 1253549383200 1307054539800 1323191015600 1339730903295 1410243056100 1429046296848 1478323755360 1488589892550 1504259259840 1587829218720 1642581950400 1742739386400 1786307871060 1847904694200 1880324074800 1905395062464 1984786523400 2091287263680 2143569445272 2232884838825 2256388889760 2368585022400 2381743828080 2463872925600 2507098766400 2614109079600 2646382031200 2679461806590 2820486112200 2858092593696 2956647510720 2977179785100 3175658437440 3485478772800 3572615742120 3695809388400 3760648149600 3969573046800 4287138890544 4465769677650 4512777779520 4763487656160 4927745851200 5228218159200 5292764062400 5358923613180 5640972224400 5716185187392 5954359570200 6698654516475 7145231484240 7391618776800 7521296299200 7939146093600 8574277781088 8931539355300 9526975312320 10456436318400 10717847226360 11281944448800 11908719140400 13397309032950 14290462968480 14783237553600 15878292187200 17148555562176 17863078710600 21435694452720 22563888897600 23817438280800 26794618065900 28580925936960 35726157421200 42871388905440 47634876561600 53589236131800 71452314842400 85742777810880 107178472263600 142904629684800 214356944527200 428713889054400
- Sum of all divisors σ(n): 1769732932968000
- Sum of proper divisors (its aliquot sum) s(n): 1341019043913600
- 428713889054400 is an abundant number, because the sum of its proper divisors (1341019043913600) is greater than itself. Its abundance is 912305154859200
Bases of 428713889054400
- Binary: 11000010111101001101110110001000100111110110000002
- Hexadecimal: 0x185E9BB113EC0
- Base-36: 47YSFWH800
Squares and roots of 428713889054400
- 428713889054400 squared (4287138890544002) is 183795598668148392126159360000
- 428713889054400 cubed (4287138890544003) is 78795725896103598185050030391014109184000000
-
The
square root of 428713889054400 is 20705407.2419356195 -
The
cube root of 428713889054400 is 75403.0971209619
Scales and comparisons
How big is 428713889054400?- 428,713,889,054,400 seconds is equal to 13,631,775 years, 29 weeks, 5 days, 12 hours.
-
To count from 1 to 428,713,889,054,400 would take you about thirty-four million, seventy-nine thousand, four hundred thirty-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 428713889054400 cubic inches would be around 6283.6 feet tall.
Recreational maths with 428713889054400
- 428713889054400 backwards is 004450988317824
- The number of decimal digits it has is: 15
- The sum of 428713889054400's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 428713889054400 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 428713889054400 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/428713889054400/
Chicago style:
Numbermatics. 2024. "Number 428713889054400 - Facts about the integer". https://numbermatics.com/n/428713889054400/
The information we have on file for 428713889054400 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 428713889054400, math, Factors of 428713889054400, curriculum, school, college, exams, university, Prime factorization of 428713889054400, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, seven hundred thirteen billion, eight hundred eighty-nine million, fifty-four thousand, four hundred.