21434816400
21,434,816,400 is an even composite number composed of seven prime numbers multiplied together.
21434816400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 21434816400:
24 × 3 × 52 × 29 × 41 × 83 × 181
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 41 × 83 × 181)See below for interesting mathematical facts about the number 21434816400 from the Numbermatics database.
Names of 21434816400
- Cardinal: 21434816400 can be written as Twenty-one billion, four hundred thirty-four million, eight hundred sixteen thousand, four hundred.
Scientific notation
- Scientific notation: 2.14348164 × 1010
Factors of 21434816400
Divisors of 21434816400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 41 48 50 58 60 75 80 82 83 87 100 116 120 123 145 150 164 166 174 181 200 205 232 240 246 249 290 300 328 332 348 362 400 410 415 435 464 492 498 543 580 600 615 656 664 696 724 725 820 830 870 905 984 996 1025 1086 1160 1189 1200 1230 1245 1328 1392 1448 1450 1640 1660 1740 1810 1968 1992 2050 2075 2172 2175 2320 2378 2407 2460 2490 2715 2896 2900 3075 3280 3320 3403 3480 3567 3620 3984 4100 4150 4344 4350 4525 4756 4814 4920 4980 5249 5430 5800 5945 6150 6225 6640 6806 6960 7134 7221 7240 7421 8200 8300 8688 8700 9050 9512 9628 9840 9960 10209 10498 10860 11600 11890 12035 12300 12450 13575 13612 14268 14442 14480 14842 15023 15747 16400 16600 17015 17400 17835 18100 19024 19256 19920 20418 20996 21720 22263 23780 24070 24600 24900 26245 27150 27224 28536 28884 29684 29725 30046 31494 33200 34030 34800 35670 36105 36200 37105 38512 40836 41992 43440 44526 45069 47560 48140 49200 49800 51045 52490 54300 54448 57072 57768 59368 59450 60092 60175 62988 68060 71340 72210 72400 74210 75115 78735 81672 83984 85075 89052 89175 90138 95120 96280 98687 99600 102090 104980 108600 111315 115536 118736 118900 120184 120350 125976 131225 136120 142680 144420 148420 150230 157470 163344 170150 178104 178350 180276 180525 185525 192560 197374 204180 209960 215209 217200 222630 225345 237800 240368 240700 251952 255225 262450 272240 285360 288840 296061 296840 300460 314940 340300 356208 356700 360552 361050 371050 375575 393675 394748 408360 419920 430418 435667 445260 450690 475600 481400 493435 510450 524900 556575 577680 592122 593680 600920 615943 629880 645627 680600 713400 721104 722100 742100 751150 787350 789496 816720 860836 871334 890520 901380 962800 986870 1020900 1049800 1076045 1113150 1126725 1184244 1201840 1231886 1259760 1291254 1307001 1361200 1426800 1444200 1480305 1484200 1502300 1574700 1578992 1721672 1742668 1781040 1802760 1847829 1973740 2041800 2099600 2152090 2178335 2226300 2253450 2368488 2463772 2467175 2582508 2614002 2888400 2960610 2968400 3004600 3079715 3149400 3228135 3443344 3485336 3605520 3695658 3947480 4083600 4304180 4356670 4452600 4506900 4736976 4927544 4934350 5165016 5228004 5380225 5921220 6009200 6159430 6298800 6456270 6535005 6970672 7391316 7401525 7894960 8608360 8713340 8905200 9013800 9239145 9855088 9868700 10330032 10456008 10760450 10891675 11842440 12318860 12912540 13070010 14782632 14803050 15398575 16140675 17216720 17426680 17862347 18027600 18478290 19737400 20912016 21520900 21783350 23684880 24637720 25825080 26140020 29565264 29606100 30797150 32281350 32675025 34853360 35724694 36956580 39474800 43041800 43566700 46195725 49275440 51650160 52280040 53587041 59212200 61594300 64562700 65350050 71449388 73913160 86083600 87133400 89311735 92391450 104560080 107174082 118424400 123188600 129125400 130700100 142898776 147826320 174266800 178623470 184782900 214348164 246377200 258250800 261400200 267935205 285797552 357246940 369565800 428696328 446558675 522800400 535870410 714493880 739131600 857392656 893117350 1071740820 1339676025 1428987760 1786234700 2143481640 2679352050 3572469400 4286963280 5358704100 7144938800 10717408200 21434816400
- Sum of all divisors σ(n): 74046510720
- Sum of proper divisors (its aliquot sum) s(n): 52611694320
- 21434816400 is an abundant number, because the sum of its proper divisors (52611694320) is greater than itself. Its abundance is 31176877920
Bases of 21434816400
- Binary: 100111111011001110101010111100100002
- Hexadecimal: 0x4FD9D5790
- Base-36: 9UHQI6O
Squares and roots of 21434816400
- 21434816400 squared (214348164002) is 459451354101708960000
- 21434816400 cubed (214348164003) is 9848255419901518483834944000000
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The
square root of 21434816400 is 146406.3400266533 -
The
cube root of 21434816400 is 2777.8359191149
Scales and comparisons
How big is 21434816400?- 21,434,816,400 seconds is equal to 681 years, 29 weeks, 1 day, 3 hours, 40 minutes.
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To count from 1 to 21,434,816,400 would take you about one thousand, three hundred sixty-three 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 21434816400 cubic inches would be around 231.5 feet tall.
Recreational maths with 21434816400
- 21434816400 backwards is 00461843412
- The number of decimal digits it has is: 11
- The sum of 21434816400's digits is 33
- More coming soon!
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