12428634400
12,428,634,400 is an even composite number composed of five prime numbers multiplied together.
12428634400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 12428634400:
25 × 52 × 72 × 13 × 293
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 29 × 29 × 29)See below for interesting mathematical facts about the number 12428634400 from the Numbermatics database.
Names of 12428634400
- Cardinal: 12428634400 can be written as Twelve billion, four hundred twenty-eight million, six hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.24286344 × 1010
Factors of 12428634400
Divisors of 12428634400
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 29 32 35 40 49 50 52 56 58 65 70 80 91 98 100 104 112 116 130 140 145 160 175 182 196 200 203 208 224 232 245 260 280 290 325 350 364 377 392 400 406 416 455 464 490 520 560 580 637 650 700 725 728 754 784 800 812 841 910 928 980 1015 1040 1120 1160 1225 1274 1300 1400 1421 1450 1456 1508 1568 1624 1682 1820 1885 1960 2030 2080 2275 2320 2450 2548 2600 2639 2800 2842 2900 2912 3016 3185 3248 3364 3640 3770 3920 4060 4205 4550 4640 4900 5075 5096 5200 5278 5600 5684 5800 5887 6032 6370 6496 6728 7105 7280 7540 7840 8120 8410 9100 9425 9800 10150 10192 10400 10556 10933 11368 11600 11774 12064 12740 13195 13456 14210 14560 15080 15925 16240 16820 18200 18473 18850 19600 20300 20384 21025 21112 21866 22736 23200 23548 24389 25480 26390 26912 28420 29435 30160 31850 32480 33640 35525 36400 36946 37700 39200 40600 41209 42050 42224 43732 45472 47096 48778 50960 52780 54665 56840 58870 60320 63700 65975 67280 71050 72800 73892 75400 76531 81200 82418 84100 84448 87464 92365 94192 97556 101920 105560 109330 113680 117740 121945 127400 131950 134560 142100 147175 147784 150800 153062 162400 164836 168200 170723 174928 184730 188384 195112 206045 211120 218660 227360 235480 243890 254800 263900 273325 284200 294350 295568 301600 306124 317057 329672 336400 341446 349856 369460 382655 390224 412090 422240 437320 461825 470960 487780 509600 527800 535717 546650 568400 588700 591136 609725 612248 634114 659344 672800 682892 738920 765310 780448 824180 853615 874640 923650 941920 975560 1030225 1055600 1071434 1093300 1136800 1177400 1195061 1219450 1224496 1268228 1318688 1365784 1477840 1530620 1585285 1648360 1707230 1749280 1847300 1913275 1951120 2060450 2111200 2142868 2186600 2219399 2354800 2390122 2438900 2448992 2536456 2678585 2731568 2955680 3061240 3170570 3296720 3414460 3694600 3826550 3902240 4120900 4268075 4285736 4373200 4438798 4709600 4780244 4877800 5072912 5357170 5463136 5975305 6122480 6341140 6593440 6828920 7389200 7653100 7926425 8241800 8536150 8571472 8746400 8877596 9560488 9755600 10145824 10714340 11096995 11950610 12244960 12682280 13392925 13657840 14778400 15306200 15535793 15852850 16483600 17072300 17142944 17755192 19120976 19511200 21428680 22193990 23901220 25364560 26785850 27315680 29876525 30612400 31071586 31705700 32967200 34144600 35510384 38241952 42857360 44387980 47802440 50729120 53571700 55484975 59753050 61224800 62143172 63411400 68289200 71020768 77678965 85714720 88775960 95604880 107143400 110969950 119506100 124286344 126822800 136578400 155357930 177551920 191209760 214286800 221939900 239012200 248572688 253645600 310715860 355103840 388394825 428573600 443879800 478024400 497145376 621431720 776789650 887759600 956048800 1242863440 1553579300 1775519200 2485726880 3107158600 6214317200 12428634400
- Sum of all divisors σ(n): 39367558440
- Sum of proper divisors (its aliquot sum) s(n): 26938924040
- 12428634400 is an abundant number, because the sum of its proper divisors (26938924040) is greater than itself. Its abundance is 14510289640
Bases of 12428634400
- Binary: 10111001001100110111101001001000002
- Hexadecimal: 0x2E4CDE920
- Base-36: 5PJOROG
Squares and roots of 12428634400
- 12428634400 squared (124286344002) is 154470953048863360000
- 12428634400 cubed (124286344003) is 1919863000863888036995584000000
-
The
square root of 12428634400 is 111483.7853680973 -
The
cube root of 12428634400 is 2316.3693211411
Scales and comparisons
How big is 12428634400?- 12,428,634,400 seconds is equal to 395 years, 9 weeks, 6 days, 22 hours, 26 minutes, 40 seconds.
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To count from 1 to 12,428,634,400 would take you about seven hundred ninety 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 12428634400 cubic inches would be around 193 feet tall.
Recreational maths with 12428634400
- 12428634400 backwards is 00443682421
- The number of decimal digits it has is: 11
- The sum of 12428634400's digits is 34
- More coming soon!
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