3968169828400
3,968,169,828,400 is an even composite number composed of seven prime numbers multiplied together.
3968169828400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 3968169828400:
24 × 52 × 19 × 37 × 61 × 73 × 3169
(2 × 2 × 2 × 2 × 5 × 5 × 19 × 37 × 61 × 73 × 3169)See below for interesting mathematical facts about the number 3968169828400 from the Numbermatics database.
Names of 3968169828400
- Cardinal: 3968169828400 can be written as Three trillion, nine hundred sixty-eight billion, one hundred sixty-nine million, eight hundred twenty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.9681698284 × 1012
Factors of 3968169828400
Divisors of 3968169828400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 37 38 40 50 61 73 74 76 80 95 100 122 146 148 152 185 190 200 244 292 296 304 305 365 370 380 400 475 488 584 592 610 703 730 740 760 925 950 976 1159 1168 1220 1387 1406 1460 1480 1520 1525 1825 1850 1900 2257 2318 2440 2701 2774 2812 2920 2960 3050 3169 3515 3650 3700 3800 4453 4514 4636 4880 5402 5548 5624 5795 5840 6100 6338 6935 7030 7300 7400 7600 8906 9028 9272 10804 11096 11248 11285 11590 12200 12676 13505 13870 14060 14600 14800 15845 17575 17812 18056 18544 21608 22192 22265 22570 23180 24400 25352 27010 27740 28120 28975 29200 31690 34675 35150 35624 36112 42883 43216 44530 45140 46360 50704 51319 54020 55480 56240 56425 57950 60211 63380 67525 69350 70300 71248 79225 84607 85766 89060 90280 92720 102638 108040 110960 111325 112850 115900 117253 120422 126760 135050 138700 140600 158450 164761 169214 171532 178120 180560 193309 205276 214415 216080 222650 225700 231337 231800 234506 240844 253520 256595 270100 277400 281200 301055 316900 329522 338428 343064 356240 386618 410552 423035 428830 445300 451400 462674 463600 469012 481688 513190 540200 554800 586265 602110 633800 659044 676856 686128 773236 821104 823805 846070 857660 890600 902800 925348 938024 963376 966545 1026380 1072075 1080400 1156685 1172530 1204220 1267600 1282975 1318088 1353712 1505275 1546472 1647610 1692140 1715320 1781200 1850696 1876048 1933090 2052760 2115175 2144150 2227807 2313370 2345060 2408440 2565950 2636176 2931325 3010550 3092944 3130459 3295220 3384280 3430640 3672871 3701392 3866180 4105520 4119025 4230350 4288300 4395403 4455614 4626740 4690120 4816880 4832725 5131900 5783425 5862650 6021100 6260918 6590440 6768560 7152433 7345742 7732360 8238050 8460700 8559469 8576600 8790806 8911228 9253480 9380240 9665450 10263800 11139035 11566850 11725300 12042200 12521836 13180880 14111557 14304866 14691484 15464720 15652295 16476100 16921400 17118938 17153200 17581612 17822456 18364355 18506960 19330900 20527600 21977015 22278070 23133700 23450600 24084400 25043672 28223114 28609732 29382968 31304590 32952200 33842800 34237876 35163224 35644912 35762165 36728710 38661800 42797345 43954030 44556140 46267400 46901200 50087344 55695175 56446228 57219464 58765936 62609180 65904400 68475752 70326448 70557785 71524330 73457420 77323600 78261475 85594690 87908060 89112280 91821775 92534800 109885075 111390350 112892456 114438928 125218360 135896227 136951504 141115570 143048660 146914840 156522950 162629911 171189380 175816120 178224560 178810825 183643550 213986725 219770150 222780700 225784912 250436720 268119583 271792454 282231140 286097320 293829680 313045900 325259822 342378760 351632240 352788925 357621650 367287100 427973450 439540300 445561400 522127609 536239166 543584908 564462280 572194640 626091800 650519644 679481135 684757520 705577850 715243300 734574200 813149555 855946900 879080600 891122800 1044255218 1072478332 1087169816 1128924560 1252183600 1301039288 1340597915 1358962270 1411155700 1430486600 1469148400 1626299110 1711893800 1758161200 2088510436 2144956664 2174339632 2602078576 2610638045 2681195830 2717924540 2822311400 2860973200 3252598220 3397405675 3423787600 4065747775 4177020872 4289913328 5221276090 5362391660 5435849080 5644622800 6505196440 6702989575 6794811350 8131495550 8354041744 9920424571 10442552180 10724783320 10871698160 13010392880 13053190225 13405979150 13589622700 16262991100 19840849142 20885104360 21449566640 26106380450 26811958300 27179245400 32525982200 39681698284 41770208720 49602122855 52212760900 53623916600 54358490800 65051964400 79363396568 99204245710 104425521800 107247833200 158726793136 198408491420 208851043600 248010614275 396816982840 496021228550 793633965680 992042457100 1984084914200 3968169828400
- Sum of all divisors σ(n): 10622326625600
- Sum of proper divisors (its aliquot sum) s(n): 6654156797200
- 3968169828400 is an abundant number, because the sum of its proper divisors (6654156797200) is greater than itself. Its abundance is 2685986968800
Bases of 3968169828400
- Binary: 1110011011111010010101101001100000001100002
- Hexadecimal: 0x39BE95A6030
- Base-36: 1EMY9UZHS
Squares and roots of 3968169828400
- 3968169828400 squared (39681698284002) is 15746371787024085446560000
- 3968169828400 cubed (39681698284003) is 62484277432037966493142932570304000000
-
The
square root of 3968169828400 is 1992026.5631763047 -
The
cube root of 3968169828400 is 15831.7922965207
Scales and comparisons
How big is 3968169828400?- 3,968,169,828,400 seconds is equal to 126,175 years, 27 weeks, 2 days, 12 hours, 46 minutes, 40 seconds.
-
To count from 1 to 3,968,169,828,400 would take you about three hundred fifteen 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 3968169828400 cubic inches would be around 1319.3 feet tall.
Recreational maths with 3968169828400
- 3968169828400 backwards is 0048289618693
- The number of decimal digits it has is: 13
- The sum of 3968169828400's digits is 64
- More coming soon!
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