20264168400
20,264,168,400 is an even composite number composed of seven prime numbers multiplied together.
20264168400 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 20264168400:
24 × 3 × 52 × 7 × 23 × 53 × 1979
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 23 × 53 × 1979)See below for interesting mathematical facts about the number 20264168400 from the Numbermatics database.
Names of 20264168400
- Cardinal: 20264168400 can be written as Twenty billion, two hundred sixty-four million, one hundred sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.02641684 × 1010
Factors of 20264168400
Divisors of 20264168400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 35 40 42 46 48 50 53 56 60 69 70 75 80 84 92 100 105 106 112 115 120 138 140 150 159 161 168 175 184 200 210 212 230 240 265 276 280 300 318 322 336 345 350 368 371 400 420 424 460 483 525 530 552 560 575 600 636 644 690 700 742 795 805 840 848 920 966 1050 1060 1104 1113 1150 1200 1219 1272 1288 1325 1380 1400 1484 1590 1610 1680 1725 1840 1855 1932 1979 2100 2120 2226 2300 2415 2438 2544 2576 2650 2760 2800 2968 3180 3220 3450 3657 3710 3864 3958 3975 4025 4200 4240 4452 4600 4830 4876 5300 5520 5565 5936 5937 6095 6360 6440 6900 7314 7420 7728 7916 7950 8050 8400 8533 8904 9200 9275 9660 9752 9895 10600 11130 11874 12075 12190 12720 12880 13800 13853 14628 14840 15832 15900 16100 17066 17808 18285 18550 19320 19504 19790 21200 22260 23748 24150 24380 25599 27600 27706 27825 29256 29680 29685 30475 31664 31800 32200 34132 36570 37100 38640 39580 41559 42665 44520 45517 47496 48300 48760 49475 51198 55412 55650 58512 59370 60950 63600 64400 68264 69265 73140 74200 79160 83118 85330 89040 91034 91425 94992 96600 97520 98950 102396 104887 110824 111300 118740 121900 127995 136528 136551 138530 146280 148400 148425 158320 166236 170660 182068 182850 193200 197900 204792 207795 209774 213325 221648 222600 227585 237480 243800 255990 273102 277060 292560 296850 314661 318619 332472 341320 346325 364136 365700 395800 409584 415590 419548 426650 445200 455170 474960 487600 511980 524435 546204 554120 593700 629322 637238 639975 664944 682640 682755 692650 728272 731400 734209 791600 831180 839096 853300 910340 955857 1023960 1038975 1048870 1092408 1108240 1137925 1187400 1258644 1274476 1279950 1365510 1385300 1462800 1468418 1573305 1593095 1662360 1678192 1706600 1820680 1911714 2047920 2077950 2097740 2184816 2202627 2275850 2374800 2412401 2517288 2548952 2559900 2622175 2731020 2770600 2936836 3146610 3186190 3324720 3413200 3413775 3641360 3671045 3823428 4155900 4195480 4405254 4551700 4779285 4824802 5034576 5097904 5119800 5244350 5462040 5541200 5873672 6293220 6372380 6827550 7237203 7342090 7646856 7866525 7965475 8311800 8390960 8810508 9103400 9558570 9649604 10239600 10488700 10924080 11013135 11747344 12062005 12586440 12744760 13655100 14474406 14684180 15293712 15733050 15930950 16623600 16886807 17621016 18206800 18355225 19117140 19299208 20977400 22026270 23896425 24124010 25172880 25489520 27310200 28948812 29368360 31466100 31861900 33773614 35242032 36186015 36710450 38234280 38598416 41954800 44052540 47792850 48248020 50660421 54620400 55065675 57897624 58736720 60310025 62932200 63723800 67547228 72372030 73420900 76468560 84434035 88105080 95585700 96496040 101320842 110131350 115795248 120620050 125864400 127447600 135094456 144744060 146841800 168868070 176210160 180930075 191171400 192992080 202641684 220262700 241240100 253302105 270188912 289488120 293683600 337736140 361860150 382342800 405283368 422170175 440525400 482480200 506604210 578976240 675472280 723720300 810566736 844340350 881050800 964960400 1013208420 1266510525 1350944560 1447440600 1688680700 2026416840 2533021050 2894881200 3377361400 4052833680 5066042100 6754722800 10132084200 20264168400
- Sum of all divisors σ(n): 78912092160
- Sum of proper divisors (its aliquot sum) s(n): 58647923760
- 20264168400 is an abundant number, because the sum of its proper divisors (58647923760) is greater than itself. Its abundance is 38383755360
Bases of 20264168400
- Binary: 100101101111101011010101011110100002
- Hexadecimal: 0x4B7D6ABD0
- Base-36: 9B4RGEO
Squares and roots of 20264168400
- 20264168400 squared (202641684002) is 410636520943558560000
- 20264168400 cubed (202641684003) is 8321207611590397555101504000000
-
The
square root of 20264168400 is 142352.2686858203 -
The
cube root of 20264168400 is 2726.3164371299
Scales and comparisons
How big is 20264168400?- 20,264,168,400 seconds is equal to 644 years, 17 weeks, 3 days, 23 hours, 40 minutes.
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To count from 1 to 20,264,168,400 would take you about one thousand, two hundred eighty-eight 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 20264168400 cubic inches would be around 227.2 feet tall.
Recreational maths with 20264168400
- 20264168400 backwards is 00486146202
- The number of decimal digits it has is: 11
- The sum of 20264168400's digits is 33
- More coming soon!
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