40221217680400
40,221,217,680,400 is an even composite number composed of five prime numbers multiplied together.
40221217680400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred five divisors.
Prime factorization of 40221217680400:
24 × 52 × 172 × 232 × 8112
(2 × 2 × 2 × 2 × 5 × 5 × 17 × 17 × 23 × 23 × 811 × 811)See below for interesting mathematical facts about the number 40221217680400 from the Numbermatics database.
Names of 40221217680400
- Cardinal: 40221217680400 can be written as Forty trillion, two hundred twenty-one billion, two hundred seventeen million, six hundred eighty thousand, four hundred.
Scientific notation
- Scientific notation: 4.02212176804 × 1013
Factors of 40221217680400
Divisors of 40221217680400
- Number of divisors d(n): 405
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 23 25 34 40 46 50 68 80 85 92 100 115 136 170 184 200 230 272 289 340 368 391 400 425 460 529 575 578 680 782 811 850 920 1058 1150 1156 1360 1445 1564 1622 1700 1840 1955 2116 2300 2312 2645 2890 3128 3244 3400 3910 4055 4232 4600 4624 5290 5780 6256 6488 6647 6800 7225 7820 8110 8464 8993 9200 9775 10580 11560 12976 13225 13294 13787 14450 15640 16220 17986 18653 19550 20275 21160 23120 26450 26588 27574 28900 31280 32440 33235 35972 37306 39100 40550 42320 44965 52900 53176 55148 57800 64880 66470 68935 71944 74612 78200 81100 89930 93265 105800 106352 110296 115600 132940 137870 143888 149224 152881 156400 162200 166175 179860 186530 211600 220592 224825 234379 265880 275740 298448 305762 317101 324400 332350 344675 359720 373060 429019 449650 466325 468758 531760 551480 611524 634202 657721 664700 689350 719440 746120 764405 858038 899300 932650 937516 1102960 1171895 1223048 1268404 1315442 1329400 1378700 1492240 1528810 1585505 1716076 1798600 1865300 1875032 2145095 2343790 2446096 2536808 2630884 2658800 2757400 3057620 3171010 3288605 3432152 3597200 3730600 3750064 3822025 4290190 4687580 5073616 5261768 5390717 5514800 5859475 6115240 6342020 6577210 6864304 7293323 7461200 7644050 7927525 8580380 9375160 10523536 10725475 10781434 11181257 11718950 12230480 12684040 13154420 14586646 15127583 15288100 15855050 16443025 17160760 18750320 21450950 21562868 22362514 23437900 25368080 26308840 26953585 29173292 30255166 30576200 31710100 32886050 34321520 36466615 42901900 43125736 44725028 46875800 52617680 53907170 55906285 58346584 60510332 61152400 63420200 65772100 72933230 75637915 85803800 86251472 89450056 93751600 107814340 111812570 116693168 121020664 123986491 126840400 131544200 134767925 145866460 151275830 171607600 178900112 182333075 190081369 215628680 223625140 242041328 247972982 257168911 263088400 269535850 279531425 291732920 302551660 347934409 364666150 378189575 380162738 431257360 447250280 495945964 514337822 539071700 559062850 583465840 605103320 619932455 695868818 729332300 756379150 760325476 894500560 950406845 991891928 1028675644 1078143400 1118125700 1210206640 1239864910 1285844555 1391737636 1458664600 1512758300 1520650952 1739672045 1900813690 1983783856 2057351288 2156286800 2236251400 2479729820 2571689110 2783475272 2917329200 3025516600 3041301904 3099662275 3479344090 3801627380 4114702576 4371871487 4472502800 4752034225 4959459640 5143378220 5566950544 5914884953 6051033200 6199324550 6429222775 6958688180 7603254760 8698360225 8743742974 9504068450 9918919280 10286756440 11829769906 12398649100 12858445550 13917376360 15206509520 17396720450 17487485948 19008136900 20573512880 21859357435 23659539812 24797298200 25716891100 27834752720 29574424765 34793440900 34974971896 38016273800 43718714870 47319079624 49594596400 51433782200 59148849530 69586881800 69949943792 76032547600 87437429740 94638159248 100553044201 102867564400 109296787175 118297699060 139173763600 147872123825 174874859480 201106088402 218593574350 236595398120 295744247650 349749718960 402212176804 437187148700 473190796240 502765221005 591488495300 804424353608 874374297400 1005530442010 1182976990600 1608848707216 1748748594800 2011060884020 2365953981200 2513826105025 4022121768040 5027652210050 8044243536080 10055304420100 20110608840200 40221217680400
- Sum of all divisors σ(n): 107439613511223
- Sum of proper divisors (its aliquot sum) s(n): 67218395830823
- 40221217680400 is an abundant number, because the sum of its proper divisors (67218395830823) is greater than itself. Its abundance is 26997178150423
Bases of 40221217680400
- Binary: 10010010010100101110110110010001101100000100002
- Hexadecimal: 0x2494BB646C10
- Base-36: E99DEIXHS
Squares and roots of 40221217680400
- 40221217680400 squared (402212176804002) is 1617746351694121556544160000
- 40221217680400 cubed (402212176804003) is 65067728163162198442820736515366464000000
-
40221217680400 is a
perfect square number . Itssquare root is 6342020 -
The
cube root of 40221217680400 is 34262.4492170329
Scales and comparisons
How big is 40221217680400?- 40,221,217,680,400 seconds is equal to 1,278,910 years, 16 weeks, 18 hours, 46 minutes, 40 seconds.
-
To count from 1 to 40,221,217,680,400 would take you about three million, one hundred ninety-seven thousand, two hundred seventy-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 40221217680400 cubic inches would be around 2855.2 feet tall.
Recreational maths with 40221217680400
- 40221217680400 backwards is 00408671212204
- The number of decimal digits it has is: 14
- The sum of 40221217680400's digits is 37
- More coming soon!
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