142471200
142,471,200 is an even composite number composed of six prime numbers multiplied together.
142471200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 142471200:
25 × 3 × 52 × 23 × 29 × 89
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 29 × 89)See below for interesting mathematical facts about the number 142471200 from the Numbermatics database.
Names of 142471200
- Cardinal: 142471200 can be written as One hundred forty-two million, four hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.424712 × 108
Factors of 142471200
Divisors of 142471200
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 29 30 32 40 46 48 50 58 60 69 75 80 87 89 92 96 100 115 116 120 138 145 150 160 174 178 184 200 230 232 240 267 276 290 300 345 348 356 368 400 435 445 460 464 480 534 552 575 580 600 667 690 696 712 725 736 800 870 890 920 928 1068 1104 1150 1160 1200 1334 1335 1380 1392 1424 1450 1725 1740 1780 1840 2001 2047 2136 2175 2208 2225 2300 2320 2400 2581 2668 2670 2760 2784 2848 2900 3335 3450 3480 3560 3680 4002 4094 4272 4350 4450 4600 4640 5162 5336 5340 5520 5800 6141 6670 6675 6900 6960 7120 7743 8004 8188 8544 8700 8900 9200 10005 10235 10324 10672 10680 11040 11600 12282 12905 13340 13350 13800 13920 14240 15486 16008 16376 16675 17400 17800 18400 20010 20470 20648 21344 21360 23200 24564 25810 26680 26700 27600 30705 30972 32016 32752 33350 34800 35600 38715 40020 40940 41296 42720 49128 50025 51175 51620 53360 53400 55200 59363 61410 61944 64032 64525 65504 66700 69600 71200 77430 80040 81880 82592 98256 100050 102350 103240 106720 106800 118726 122820 123888 129050 133400 153525 154860 160080 163760 178089 193575 196512 200100 204700 206480 213600 237452 245640 247776 258100 266800 296815 307050 309720 320160 327520 356178 387150 400200 409400 412960 474904 491280 516200 533600 593630 614100 619440 712356 774300 800400 818800 890445 949808 982560 1032400 1187260 1228200 1238880 1424712 1484075 1548600 1600800 1637600 1780890 1899616 2064800 2374520 2456400 2849424 2968150 3097200 3561780 4452225 4749040 4912800 5698848 5936300 6194400 7123560 8904450 9498080 11872600 14247120 17808900 23745200 28494240 35617800 47490400 71235600 142471200
- Sum of all divisors σ(n): 506217600
- Sum of proper divisors (its aliquot sum) s(n): 363746400
- 142471200 is an abundant number, because the sum of its proper divisors (363746400) is greater than itself. Its abundance is 221275200
Bases of 142471200
- Binary: 10000111110111110000001000002
- Hexadecimal: 0x87DF020
- Base-36: 2CTNHC
Squares and roots of 142471200
- 142471200 squared (1424712002) is 20298042829440000
- 142471200 cubed (1424712003) is 2891886519561712128000000
-
The
square root of 142471200 is 11936.1300261015 -
The
cube root of 142471200 is 522.2867730343
Scales and comparisons
How big is 142471200?- 142,471,200 seconds is equal to 4 years, 27 weeks, 3 days, 23 hours, 20 minutes.
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To count from 1 to 142,471,200 would take you about six 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 142471200 cubic inches would be around 43.5 feet tall.
Recreational maths with 142471200
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