242246400
242,246,400 is an even composite number composed of six prime numbers multiplied together.
242246400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 242246400:
28 × 3 × 52 × 11 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 31 × 37)See below for interesting mathematical facts about the number 242246400 from the Numbermatics database.
Names of 242246400
- Cardinal: 242246400 can be written as Two hundred forty-two million, two hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 2.422464 × 108
Factors of 242246400
Divisors of 242246400
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 31 32 33 37 40 44 48 50 55 60 62 64 66 74 75 80 88 93 96 100 110 111 120 124 128 132 148 150 155 160 165 176 185 186 192 200 220 222 240 248 256 264 275 296 300 310 320 330 341 352 370 372 384 400 407 440 444 465 480 496 528 550 555 592 600 620 640 660 682 704 740 744 768 775 800 814 825 880 888 925 930 960 992 1023 1056 1100 1110 1147 1184 1200 1221 1240 1280 1320 1364 1408 1480 1488 1550 1600 1628 1650 1705 1760 1776 1850 1860 1920 1984 2035 2046 2112 2200 2220 2294 2325 2368 2400 2442 2480 2640 2728 2775 2816 2960 2976 3100 3200 3256 3300 3410 3441 3520 3552 3700 3720 3840 3968 4070 4092 4224 4400 4440 4588 4650 4736 4800 4884 4960 5115 5280 5456 5550 5735 5920 5952 6105 6200 6400 6512 6600 6820 6882 7040 7104 7400 7440 7936 8140 8184 8448 8525 8800 8880 9176 9300 9472 9600 9768 9920 10175 10230 10560 10912 11100 11470 11840 11904 12210 12400 12617 13024 13200 13640 13764 14080 14208 14800 14880 16280 16368 17050 17205 17600 17760 18352 18600 19200 19536 19840 20350 20460 21120 21824 22200 22940 23680 23808 24420 24800 25234 25575 26048 26400 27280 27528 28416 28675 29600 29760 30525 32560 32736 34100 34410 35200 35520 36704 37200 37851 39072 39680 40700 40920 42240 43648 44400 45880 47360 48840 49600 50468 51150 52096 52800 54560 55056 57350 59200 59520 61050 63085 65120 65472 68200 68820 70400 71040 73408 74400 75702 78144 81400 81840 86025 87296 88800 91760 97680 99200 100936 102300 104192 105600 109120 110112 114700 118400 119040 122100 126170 130240 130944 136400 137640 142080 146816 148800 151404 156288 162800 163680 172050 177600 183520 189255 195360 198400 201872 204600 211200 218240 220224 229400 236800 244200 252340 260480 261888 272800 275280 293632 297600 302808 312576 315425 325600 327360 344100 355200 367040 378510 390720 403744 409200 436480 440448 458800 488400 504680 520960 545600 550560 595200 605616 630850 651200 654720 688200 710400 734080 757020 781440 807488 818400 880896 917600 946275 976800 1009360 1091200 1101120 1211232 1261700 1302400 1309440 1376400 1468160 1514040 1562880 1614976 1636800 1835200 1892550 1953600 2018720 2182400 2202240 2422464 2523400 2604800 2752800 3028080 3229952 3273600 3670400 3785100 3907200 4037440 4404480 4844928 5046800 5505600 6056160 6547200 7340800 7570200 7814400 8074880 9689856 10093600 11011200 12112320 15140400 16149760 20187200 22022400 24224640 30280800 40374400 48449280 60561600 80748800 121123200 242246400
- Sum of all divisors σ(n): 924607488
- Sum of proper divisors (its aliquot sum) s(n): 682361088
- 242246400 is an abundant number, because the sum of its proper divisors (682361088) is greater than itself. Its abundance is 440114688
Bases of 242246400
- Binary: 11100111000001100011000000002
- Hexadecimal: 0xE706300
- Base-36: 4086IO
Squares and roots of 242246400
- 242246400 squared (2422464002) is 58683318312960000
- 242246400 cubed (2422464003) is 14215822601368633344000000
-
The
square root of 242246400 is 15564.2667671819 -
The
cube root of 242246400 is 623.3793961277
Scales and comparisons
How big is 242246400?- 242,246,400 seconds is equal to 7 years, 36 weeks, 3 days, 18 hours, 40 minutes.
-
To count from 1 to 242,246,400 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 242246400 cubic inches would be around 51.9 feet tall.
Recreational maths with 242246400
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