20400405984
20,400,405,984 is an even composite number composed of four prime numbers multiplied together.
20400405984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 20400405984:
25 × 39 × 72 × 661
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 661)See below for interesting mathematical facts about the number 20400405984 from the Numbermatics database.
Names of 20400405984
- Cardinal: 20400405984 can be written as Twenty billion, four hundred million, four hundred five thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 2.0400405984 × 1010
Factors of 20400405984
Divisors of 20400405984
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 81 84 96 98 108 112 126 144 147 162 168 189 196 216 224 243 252 288 294 324 336 378 392 432 441 486 504 567 588 648 661 672 729 756 784 864 882 972 1008 1134 1176 1296 1322 1323 1458 1512 1568 1701 1764 1944 1983 2016 2187 2268 2352 2592 2644 2646 2916 3024 3402 3528 3888 3966 3969 4374 4536 4627 4704 5103 5288 5292 5832 5949 6048 6561 6804 7056 7776 7932 7938 8748 9072 9254 10206 10576 10584 11664 11898 11907 13122 13608 13881 14112 15309 15864 15876 17496 17847 18144 18508 19683 20412 21152 21168 23328 23796 23814 26244 27216 27762 30618 31728 31752 32389 34992 35694 35721 37016 39366 40824 41643 42336 45927 47592 47628 52488 53541 54432 55524 61236 63456 63504 64778 69984 71388 71442 74032 78732 81648 83286 91854 95184 95256 97167 104976 107082 107163 111048 122472 124929 127008 129556 137781 142776 142884 148064 157464 160623 163296 166572 183708 190368 190512 194334 209952 214164 214326 222096 244944 249858 259112 275562 285552 285768 291501 314928 321246 321489 333144 367416 374787 381024 388668 428328 428652 444192 481869 489888 499716 518224 551124 571104 571536 583002 629856 642492 642978 666288 734832 749574 777336 856656 857304 874503 963738 964467 999432 1036448 1102248 1124361 1143072 1166004 1284984 1285956 1332576 1445607 1469664 1499148 1554672 1713312 1714608 1749006 1927476 1928934 1998864 2204496 2248722 2332008 2569968 2571912 2623509 2891214 2998296 3109344 3373083 3429216 3498012 3854952 3857868 3997728 4336821 4408992 4497444 4664016 5139936 5143824 5247018 5782428 5996592 6746166 6996024 7709904 7715736 7870527 8673642 8994888 9328032 10119249 10287648 10494036 11564856 11993184 13010463 13492332 13992048 15419808 15431472 15741054 17347284 17989776 20238498 20988072 23129712 23611581 26020926 26984664 27984096 30357747 30862944 31482108 34694568 35979552 40476996 41976144 46259424 47223162 52041852 53969328 60715494 62964216 69389136 70834743 80953992 83952288 91073241 94446324 104083704 107938656 121430988 125928432 138778272 141669486 161907984 182146482 188892648 208167408 212504229 242861976 251856864 283338972 323815968 364292964 377785296 416334816 425008458 485723952 566677944 637512687 728585928 755570592 850016916 971447904 1133355888 1275025374 1457171856 1700033832 2266711776 2550050748 2914343712 3400067664 5100101496 6800135328 10200202992 20400405984
- Sum of all divisors σ(n): 70185692808
- Sum of proper divisors (its aliquot sum) s(n): 49785286824
- 20400405984 is an abundant number, because the sum of its proper divisors (49785286824) is greater than itself. Its abundance is 29384880840
Bases of 20400405984
- Binary: 100101111111111010101111101111000002
- Hexadecimal: 0x4BFF57DE0
- Base-36: 9DDVI00
Squares and roots of 20400405984
- 20400405984 squared (204004059842) is 416176564312023008256
- 20400405984 cubed (204004059843) is 8490170872991555020771383803904
-
The
square root of 20400405984 is 142829.9897920601 -
The
cube root of 20400405984 is 2732.4125419287
Scales and comparisons
How big is 20400405984?- 20,400,405,984 seconds is equal to 648 years, 34 weeks, 5 days, 19 hours, 26 minutes, 24 seconds.
-
To count from 1 to 20,400,405,984 would take you about one thousand, two hundred ninety-seven 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 20400405984 cubic inches would be around 227.7 feet tall.
Recreational maths with 20400405984
- 20400405984 backwards is 48950400402
- 20400405984 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 20400405984's digits is 36
- More coming soon!
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