3428145428400
3,428,145,428,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3428145428400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
3428145428400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 3428145428400:
24 × 33 × 52 × 72 × 113 × 31 × 157
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 31 × 157)See below for interesting mathematical facts about the number 3428145428400 from the Numbermatics database.
Names of 3428145428400
- Cardinal: 3428145428400 can be written as Three trillion, four hundred twenty-eight billion, one hundred forty-five million, four hundred twenty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.4281454284 × 1012
Factors of 3428145428400
Divisors of 3428145428400
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 31 33 35 36 40 42 44 45 48 49 50 54 55 56 60 62 63 66 70 72 75 77 80 84 88 90 93 98 99 100 105 108 110 112 120 121 124 126 132 135 140 144 147 150 154 155 157 165 168 175 176 180 186 189 196 198 200 210 216 217 220 225 231 240 242 245 248 252 264 270 275 279 280 294 297 300 308 310 314 315 330 336 341 350 360 363 372 378 385 392 396 400 420 432 434 440 441 450 462 465 471 484 490 495 496 504 525 528 539 540 550 558 560 588 594 600 605 616 620 628 630 651 660 675 682 693 700 720 726 735 744 756 770 775 784 785 792 825 837 840 847 868 880 882 900 924 930 942 945 968 980 990 1008 1023 1050 1078 1080 1085 1089 1099 1100 1116 1155 1176 1188 1200 1210 1225 1232 1240 1256 1260 1302 1320 1323 1331 1350 1364 1386 1395 1400 1413 1452 1470 1485 1488 1512 1519 1540 1550 1570 1575 1584 1617 1650 1674 1680 1694 1705 1727 1736 1764 1800 1815 1848 1860 1884 1890 1925 1936 1953 1960 1980 2046 2079 2100 2156 2160 2170 2178 2198 2200 2205 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2360981700 2426146800 2448675306 2457451920 2473409400 2513303100 2539366984 2575616400 2591190800 2597079870 2632984200 2720750340 2729415150 2764633410 2782585575 2798486064 2833178040 2856787857 2885644300 2915089650 2968091280 3071814900 3116495844 3119331600 3147975600 3159581040 3174208730 3180097800 3264900408 3351070800 3400937925 3462773160 3498107580 3541472550 3627667120 3639220200 3686177880 3710114100 3809050476 3886786200 3895619805 3949476300 4047397200 4081125510 4095753200 4155327792 4328466450 4367064240 4372634475 4423413456 4452136920 4534583900 4607722350 4664143440 4721963400 4761313095 4897350612 4946818800 5026606200 5078733968 5194159740 5265968400 5441500680 5458830300 5529266820 5565171150 5666356080 5713575714 5771288600 5830179300 6121688265 6143629800 6232991688 6348417460 6360195600 6492699675 6529800816 6801875850 6911583525 6925546320 6996215160 7082945100 7278440400 7372355760 7420228200 7618100952 7773572400 7791239610 7898952600 7935521825 8162251020 8570363571 8656932900 8745268950 8904273840 9069167800 9215444700 9443926800 9522626190 9794701224 10053212400 10202813775 10388319480 10883001360 10917660600 11058533640 11130342300 11427151428 11542577200 11660358600 12243376530 12287259600 12465983376 12696834920 12985399350 13603751700 13823167050 13992430320 14165890200 14283939285 14840456400 15236201904 15582479220 15797905200 15871043650 16324502040 17140727142 17313865800 17490537900 18138335600 18430889400 19045252380 19478099025 19589402448 20405627550 20776638960 21835321200 22117067280 22260684600 22854302856 23320717200 23806565475 24486753060 25393669840 25970798700 27207503400 27646334100 28331780400 28567878570 30608441325 31164958440 31742087300 32649004080 34281454284 34627731600 34981075800 36861778800 38090504760 38956198050 40811255100 42851817855 44521369200 45708605712 47613130950 48973506120 51941597400 54415006800 55292668200 57135757140 61216882650 62329916880 63484174600 68562908568 69962151600 71419696425 76181009520 77912396100 81622510200 85703635710 95226261900 97947012240 103883194800 110585336400 114271514280 122433765300 126968349200 137125817136 142839392850 155824792200 163245020400 171407271420 190452523800 214259089275 228543028560 244867530600 285678785700 311649584400 342814542840 380905047600 428518178550 489735061200 571357571400 685629085680 857036357100 1142715142800 1714072714200 3428145428400
- Sum of all divisors σ(n): 16218339102720
- Sum of proper divisors (its aliquot sum) s(n): 12790193674320
- 3428145428400 is an abundant number, because the sum of its proper divisors (12790193674320) is greater than itself. Its abundance is 9362048245920
Bases of 3428145428400
- Binary: 1100011110001011010110001111110111101100002
- Hexadecimal: 0x31E2D63F7B0
- Base-36: 17QV99XO0
Squares and roots of 3428145428400
- 3428145428400 squared (34281454284002) is 11752181078259819526560000
- 3428145428400 cubed (34281454284003) is 40288185837165382937385716378304000000
-
The
square root of 3428145428400 is 1851525.1627779733 -
The
cube root of 3428145428400 is 15078.3242766673
Scales and comparisons
How big is 3428145428400?- 3,428,145,428,400 seconds is equal to 109,004 years, 21 weeks, 6 days, 3 hours.
-
To count from 1 to 3,428,145,428,400 would take you about two hundred seventy-two thousand, five hundred eleven 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 3428145428400 cubic inches would be around 1256.5 feet tall.
Recreational maths with 3428145428400
- 3428145428400 backwards is 0048245418243
- 3428145428400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3428145428400's digits is 45
- More coming soon!
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"Number 3428145428400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 3428145428400 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/3428145428400/
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The information we have on file for 3428145428400 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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