20400408900
20,400,408,900 is an even composite number composed of four prime numbers multiplied together.
What does the number 20400408900 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 315 divisors.
20400408900 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred fifteen divisors.
Prime factorization of 20400408900:
22 × 36 × 52 × 234
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 23 × 23 × 23 × 23)See below for interesting mathematical facts about the number 20400408900 from the Numbermatics database.
Names of 20400408900
- Cardinal: 20400408900 can be written as Twenty billion, four hundred million, four hundred eight thousand, nine hundred.
Scientific notation
- Scientific notation: 2.04004089 × 1010
Factors of 20400408900
Divisors of 20400408900
- Number of divisors d(n): 315
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 23 25 27 30 36 45 46 50 54 60 69 75 81 90 92 100 108 115 135 138 150 162 180 207 225 230 243 270 276 300 324 345 405 414 450 460 486 529 540 575 621 675 690 729 810 828 900 972 1035 1058 1150 1215 1242 1350 1380 1458 1587 1620 1725 1863 2025 2070 2116 2300 2430 2484 2645 2700 2916 3105 3174 3450 3645 3726 4050 4140 4761 4860 5175 5290 5589 6075 6210 6348 6900 7290 7452 7935 8100 9315 9522 10350 10580 11178 12150 12167 12420 13225 14283 14580 15525 15870 16767 18225 18630 19044 20700 22356 23805 24300 24334 26450 27945 28566 31050 31740 33534 36450 36501 37260 39675 42849 46575 47610 48668 52900 55890 57132 60835 62100 67068 71415 72900 73002 79350 83835 85698 93150 95220 109503 111780 119025 121670 128547 139725 142830 146004 158700 167670 171396 182505 186300 214245 219006 238050 243340 257094 279450 279841 285660 304175 328509 335340 357075 365010 385641 419175 428490 438012 476100 514188 547515 558900 559682 608350 642735 657018 714150 730020 771282 838350 839523 856980 912525 985527 1071225 1095030 1119364 1216700 1285470 1314036 1399205 1428300 1542564 1642545 1676700 1679046 1825050 1928205 1971054 2142450 2190060 2518569 2570940 2737575 2798410 2956581 3213675 3285090 3358092 3650100 3856410 3942108 4197615 4284900 4927635 5037138 5475150 5596820 5913162 6427350 6570180 6996025 7555707 7712820 8212725 8395230 8869743 9641025 9855270 10074276 10950300 11826324 12592845 12854700 13992050 14782905 15111414 16425450 16790460 17739486 19282050 19710540 20988075 22667121 24638175 25185690 27984100 29565810 30222828 32850900 35478972 37778535 38564100 41976150 44348715 45334242 49276350 50371380 59131620 62964225 68001363 73914525 75557070 83952300 88697430 90668484 98552700 113335605 125928450 136002726 147829050 151114140 177394860 188892675 204004089 221743575 226671210 251856900 272005452 295658100 340006815 377785350 408008178 443487150 453342420 566678025 680013630 755570700 816016356 886974300 1020020445 1133356050 1360027260 1700034075 2040040890 2266712100 3400068150 4080081780 5100102225 6800136300 10200204450 20400408900
- Sum of all divisors σ(n): 69389910541
- Sum of proper divisors (its aliquot sum) s(n): 48989501641
- 20400408900 is an abundant number, because the sum of its proper divisors (48989501641) is greater than itself. Its abundance is 28589092741
Bases of 20400408900
- Binary: 100101111111111010110001001010001002
- Hexadecimal: 0x4BFF58944
- Base-36: 9DDVK90
Squares and roots of 20400408900
- 20400408900 squared (204004089002) is 416176683287199210000
- 20400408900 cubed (204004089003) is 8490174513704660019756969000000
-
20400408900 is a
perfect square number . Itssquare root is 142830 -
The
cube root of 20400408900 is 2732.4126721177
Scales and comparisons
How big is 20400408900?- 20,400,408,900 seconds is equal to 648 years, 34 weeks, 5 days, 20 hours, 15 minutes.
-
To count from 1 to 20,400,408,900 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 20400408900 cubic inches would be around 227.7 feet tall.
Recreational maths with 20400408900
- 20400408900 backwards is 00980400402
- 20400408900 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 20400408900's digits is 27
- More coming soon!
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