242164322400
242,164,322,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 242164322400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
242164322400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 242164322400:
25 × 3 × 52 × 7 × 11 × 13 × 100801
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 13 × 100801)See below for interesting mathematical facts about the number 242164322400 from the Numbermatics database.
Names of 242164322400
- Cardinal: 242164322400 can be written as Two hundred forty-two billion, one hundred sixty-four million, three hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.421643224 × 1011
Factors of 242164322400
Divisors of 242164322400
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 32 33 35 39 40 42 44 48 50 52 55 56 60 65 66 70 75 77 78 80 84 88 91 96 100 104 105 110 112 120 130 132 140 143 150 154 156 160 165 168 175 176 182 195 200 208 210 220 224 231 240 260 264 273 275 280 286 300 308 312 325 330 336 350 352 364 385 390 400 416 420 429 440 455 462 480 520 525 528 546 550 560 572 600 616 624 650 660 672 700 715 728 770 780 800 825 840 858 880 910 924 975 1001 1040 1050 1056 1092 1100 1120 1144 1155 1200 1232 1248 1300 1320 1365 1400 1430 1456 1540 1560 1650 1680 1716 1760 1820 1848 1925 1950 2002 2080 2100 2145 2184 2200 2275 2288 2310 2400 2464 2600 2640 2730 2800 2860 2912 3003 3080 3120 3300 3360 3432 3575 3640 3696 3850 3900 4004 4200 4290 4368 4400 4550 4576 4620 5005 5200 5280 5460 5600 5720 5775 6006 6160 6240 6600 6825 6864 7150 7280 7392 7700 7800 8008 8400 8580 8736 8800 9100 9240 10010 10400 10725 10920 11440 11550 12012 12320 13200 13650 13728 14300 14560 15015 15400 15600 16016 16800 17160 18200 18480 20020 21450 21840 22880 23100 24024 25025 26400 27300 28600 30030 30800 31200 32032 34320 36400 36960 40040 42900 43680 46200 48048 50050 54600 57200 60060 61600 68640 72800 75075 80080 85800 92400 96096 100100 100801 109200 114400 120120 150150 160160 171600 184800 200200 201602 218400 240240 300300 302403 343200 400400 403204 480480 504005 600600 604806 705607 800800 806408 1008010 1108811 1201200 1209612 1310413 1411214 1512015 1612816 2016020 2116821 2217622 2402400 2419224 2520025 2620826 2822428 3024030 3225632 3326433 3528035 3931239 4032040 4233642 4435244 4838448 5040050 5241652 5544055 5644856 6048060 6552065 6652866 7056070 7560075 7761677 7862478 8064080 8467284 8870488 9172891 9676896 10080100 10483304 10584105 11088110 11289712 12096120 13104130 13305732 14112140 14414543 15120150 15523354 15724956 16128160 16632165 16934568 17640175 17740976 18345782 19656195 20160200 20966608 21168210 22176220 22579424 23285031 24192240 26208260 26611464 27518673 27720275 28224280 28829086 30240300 31046708 31449912 32760325 33264330 33869136 35280350 35481952 36691564 38808385 39312390 40320400 41933216 42336420 43243629 44352440 45864455 46570062 48384480 52416520 52920525 53222928 55037346 55440550 56448560 57658172 60480600 62093416 62899824 65520650 66528660 67738272 70560700 72072715 73383128 77616770 78624780 80640800 83160825 84672840 86487258 88704880 91728910 93140124 98280975 100901801 104833040 105841050 106445856 110074692 110881100 112897120 115316344 116425155 120961200 124186832 125799648 131041300 133057320 137593365 141121400 144145430 146766256 155233540 157249560 166321650 169345680 172974516 177409760 183457820 186280248 194041925 196561950 201803602 209666080 211682100 216218145 220149384 221762200 229322275 230632688 232850310 241922400 248373664 262082600 266114640 275186730 282242800 288290860 293532512 302705403 310467080 314499120 332643300 338691360 345949032 360363575 366915640 372560496 388083850 393123900 403607204 423364200 432436290 440298768 443524400 458644550 461265376 465700620 504509005 524165200 532229280 550373460 564485600 576581720 582125775 605410806 620934160 628998240 665286600 687966825 691898064 720727150 733831280 745120992 776167700 786247800 807214408 846728400 864872580 880597536 887048800 917289100 931401240 1009018010 1048330400 1081090725 1100746920 1153163440 1164251550 1210821612 1241868320 1330573200 1375933650 1383796128 1441454300 1467662560 1513527015 1552335400 1572495600 1614428816 1693456800 1729745160 1834578200 1862802480 2018036020 2162181450 2201493840 2306326880 2328503100 2421643224 2522545025 2661146400 2751867300 2882908600 3027054030 3104670800 3144991200 3228857632 3459490320 3669156400 3725604960 4036072040 4324362900 4402987680 4657006200 4843286448 5045090050 5503734600 5765817200 6054108060 6209341600 6918980640 7338312800 7567635075 8072144080 8648725800 9314012400 9686572896 10090180100 11007469200 11531634400 12108216120 15135270150 16144288160 17297451600 18628024800 20180360200 22014938400 24216432240 30270540300 34594903200 40360720400 48432864480 60541080600 80721440800 121082161200 242164322400
- Sum of all divisors σ(n): 1058353261056
- Sum of proper divisors (its aliquot sum) s(n): 816188938656
- 242164322400 is an abundant number, because the sum of its proper divisors (816188938656) is greater than itself. Its abundance is 574024616256
Bases of 242164322400
- Binary: 111000011000100001111001010000011000002
- Hexadecimal: 0x38621E5060
- Base-36: 338YDV1C
Squares and roots of 242164322400
- 242164322400 squared (2421643224002) is 58643559043451141760000
- 242164322400 cubed (2421643224003) is 14201377738881737901816743424000000
-
The
square root of 242164322400 is 492101.9430971595 -
The
cube root of 242164322400 is 6233.0898398471
Scales and comparisons
How big is 242164322400?- 242,164,322,400 seconds is equal to 7,700 years, 3 weeks, 6 days, 19 hours, 20 minutes.
-
To count from 1 to 242,164,322,400 would take you about fifteen thousand, four hundred 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 242164322400 cubic inches would be around 519.4 feet tall.
Recreational maths with 242164322400
- 242164322400 backwards is 004223461242
- 242164322400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 242164322400's digits is 30
- More coming soon!
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