12830438400
12,830,438,400 is an even composite number composed of six prime numbers multiplied together.
12830438400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 12830438400:
210 × 3 × 52 × 13 × 71 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 71 × 181)See below for interesting mathematical facts about the number 12830438400 from the Numbermatics database.
Names of 12830438400
- Cardinal: 12830438400 can be written as Twelve billion, eight hundred thirty million, four hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.28304384 × 1010
Factors of 12830438400
Divisors of 12830438400
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 71 75 78 80 96 100 104 120 128 130 142 150 156 160 181 192 195 200 208 213 240 256 260 284 300 312 320 325 355 362 384 390 400 416 426 480 512 520 543 568 600 624 640 650 710 724 768 780 800 832 852 905 923 960 975 1024 1040 1065 1086 1136 1200 1248 1280 1300 1420 1448 1536 1560 1600 1664 1704 1775 1810 1846 1920 1950 2080 2130 2172 2272 2353 2400 2496 2560 2600 2715 2769 2840 2896 3072 3120 3200 3328 3408 3550 3620 3692 3840 3900 4160 4260 4344 4525 4544 4615 4706 4800 4992 5120 5200 5325 5430 5538 5680 5792 6240 6400 6656 6816 7059 7100 7240 7384 7680 7800 8320 8520 8688 9050 9088 9230 9412 9600 9984 10400 10650 10860 11076 11360 11584 11765 12480 12800 12851 13312 13575 13632 13845 14118 14200 14480 14768 15360 15600 16640 17040 17376 18100 18176 18460 18824 19200 19968 20800 21300 21720 22152 22720 23075 23168 23530 24960 25600 25702 27150 27264 27690 28236 28400 28960 29536 31200 33280 34080 34752 35295 36200 36352 36920 37648 38400 38553 39936 41600 42600 43440 44304 45440 46150 46336 47060 49920 51404 54300 54528 55380 56472 56800 57920 58825 59072 62400 64255 66560 68160 69225 69504 70590 72400 72704 73840 75296 76800 77106 83200 85200 86880 88608 90880 92300 92672 94120 99840 102808 108600 109056 110760 112944 113600 115840 117650 118144 124800 128510 136320 138450 139008 141180 144800 147680 150592 154212 166400 167063 170400 173760 176475 177216 181760 184600 185344 188240 192765 199680 205616 217200 218112 221520 225888 227200 231680 235300 236288 249600 257020 272640 276900 278016 282360 289600 295360 301184 308424 321275 332800 334126 340800 347520 352950 354432 363520 369200 376480 385530 411232 434400 443040 451776 454400 463360 470600 472576 499200 501189 514040 545280 553800 556032 564720 579200 590720 602368 616848 642550 668252 681600 695040 705900 708864 738400 752960 771060 822464 835315 868800 886080 903552 908800 926720 941200 945152 963825 998400 1002378 1028080 1090560 1107600 1129440 1158400 1181440 1204736 1233696 1285100 1336504 1363200 1390080 1411800 1417728 1476800 1505920 1542120 1644928 1670630 1737600 1772160 1807104 1817600 1882400 1927650 2004756 2056160 2215200 2258880 2316800 2362880 2409472 2467392 2505945 2570200 2673008 2726400 2780160 2823600 2835456 2953600 3011840 3084240 3289856 3341260 3475200 3544320 3614208 3764800 3855300 4009512 4112320 4176575 4430400 4517760 4633600 4725760 4934784 5011890 5140400 5346016 5452800 5647200 5907200 6023680 6168480 6579712 6682520 6950400 7088640 7228416 7529600 7710600 8019024 8224640 8353150 8860800 9035520 9869568 10023780 10280800 10692032 11294400 11814400 12047360 12336960 12529725 13159424 13365040 13900800 14177280 15059200 15421200 16038048 16449280 16706300 17721600 18071040 19739136 20047560 20561600 21384064 22588800 23628800 24673920 25059450 26730080 30118400 30842400 32076096 32898560 33412600 35443200 36142080 39478272 40095120 41123200 42768128 45177600 49347840 50118900 53460160 60236800 61684800 64152192 65797120 66825200 70886400 80190240 82246400 85536256 90355200 98695680 100237800 106920320 123369600 128304384 133650400 160380480 164492800 171072512 180710400 197391360 200475600 213840640 246739200 256608768 267300800 320760960 328985600 400951200 427681280 493478400 513217536 534601600 641521920 801902400 855362560 986956800 1069203200 1283043840 1603804800 2138406400 2566087680 3207609600 4276812800 6415219200 12830438400
- Sum of all divisors σ(n): 46566269568
- Sum of proper divisors (its aliquot sum) s(n): 33735831168
- 12830438400 is an abundant number, because the sum of its proper divisors (33735831168) is greater than itself. Its abundance is 20905392768
Bases of 12830438400
- Binary: 10111111001100000011110100000000002
- Hexadecimal: 0x2FCC0F400
- Base-36: 5W6WTMO
Squares and roots of 12830438400
- 12830438400 squared (128304384002) is 164620149536194560000
- 12830438400 cubed (128304384003) is 2112148688022932872495104000000
-
The
square root of 12830438400 is 113271.5251067099 -
The
cube root of 12830438400 is 2341.0669398479
Scales and comparisons
How big is 12830438400?- 12,830,438,400 seconds is equal to 407 years, 50 weeks, 2 days, 10 hours, 40 minutes.
-
To count from 1 to 12,830,438,400 would take you about eight hundred fifteen 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 12830438400 cubic inches would be around 195.1 feet tall.
Recreational maths with 12830438400
- 12830438400 backwards is 00483403821
- The number of decimal digits it has is: 11
- The sum of 12830438400's digits is 33
- More coming soon!
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