242221440
242,221,440 is an even composite number composed of six prime numbers multiplied together.
242221440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 242221440:
27 × 3 × 5 × 17 × 41 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 41 × 181)See below for interesting mathematical facts about the number 242221440 from the Numbermatics database.
Names of 242221440
- Cardinal: 242221440 can be written as Two hundred forty-two million, two hundred twenty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 2.4222144 × 108
Factors of 242221440
Divisors of 242221440
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 41 48 51 60 64 68 80 82 85 96 102 120 123 128 136 160 164 170 181 192 204 205 240 246 255 272 320 328 340 362 384 408 410 480 492 510 543 544 615 640 656 680 697 724 816 820 905 960 984 1020 1086 1088 1230 1312 1360 1394 1448 1632 1640 1810 1920 1968 2040 2091 2172 2176 2460 2624 2715 2720 2788 2896 3077 3264 3280 3485 3620 3936 4080 4182 4344 4920 5248 5430 5440 5576 5792 6154 6528 6560 6970 7240 7421 7872 8160 8364 8688 9231 9840 10455 10860 10880 11152 11584 12308 13120 13940 14480 14842 15385 15744 16320 16728 17376 18462 19680 20910 21720 22263 22304 23168 24616 26240 27880 28960 29684 30770 32640 33456 34752 36924 37105 39360 41820 43440 44526 44608 46155 49232 55760 57920 59368 61540 66912 69504 73848 74210 78720 83640 86880 89052 89216 92310 98464 111315 111520 115840 118736 123080 126157 133824 147696 148420 167280 173760 178104 184620 196928 222630 223040 237472 246160 252314 267648 295392 296840 334560 347520 356208 369240 378471 393856 445260 446080 474944 492320 504628 590784 593680 630785 669120 712416 738480 756942 890520 949888 984640 1009256 1181568 1187360 1261570 1338240 1424832 1476960 1513884 1781040 1892355 1969280 2018512 2374720 2523140 2849664 2953920 3027768 3562080 3784710 4037024 4749440 5046280 5907840 6055536 7124160 7569420 8074048 10092560 12111072 14248320 15138840 16148096 20185120 24222144 30277680 40370240 48444288 60555360 80740480 121110720 242221440
- Sum of all divisors σ(n): 842063040
- Sum of proper divisors (its aliquot sum) s(n): 599841600
- 242221440 is an abundant number, because the sum of its proper divisors (599841600) is greater than itself. Its abundance is 357620160
Bases of 242221440
- Binary: 11100111000000000001100000002
- Hexadecimal: 0xE700180
- Base-36: 407N9C
Squares and roots of 242221440
- 242221440 squared (2422214402) is 58671225995673600
- 242221440 cubed (2422214403) is 14211428847237493161984000
-
The
square root of 242221440 is 15563.4649098457 -
The
cube root of 242221440 is 623.3579853049
Scales and comparisons
How big is 242221440?- 242,221,440 seconds is equal to 7 years, 36 weeks, 3 days, 11 hours, 44 minutes.
-
To count from 1 to 242,221,440 would take you about 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 242221440 cubic inches would be around 51.9 feet tall.
Recreational maths with 242221440
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