640130400
640,130,400 is an even composite number composed of six prime numbers multiplied together.
640130400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 640130400:
25 × 32 × 52 × 7 × 13 × 977
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 977)See below for interesting mathematical facts about the number 640130400 from the Numbermatics database.
Names of 640130400
- Cardinal: 640130400 can be written as Six hundred forty million, one hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 6.401304 × 108
Factors of 640130400
Divisors of 640130400
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 50 52 56 60 63 65 70 72 75 78 80 84 90 91 96 100 104 105 112 117 120 126 130 140 144 150 156 160 168 175 180 182 195 200 208 210 224 225 234 240 252 260 273 280 288 300 312 315 325 336 350 360 364 390 400 416 420 450 455 468 480 504 520 525 546 560 585 600 624 630 650 672 700 720 728 780 800 819 840 900 910 936 975 977 1008 1040 1050 1092 1120 1170 1200 1248 1260 1300 1365 1400 1440 1456 1560 1575 1638 1680 1800 1820 1872 1950 1954 2016 2080 2100 2184 2275 2340 2400 2520 2600 2730 2800 2912 2925 2931 3120 3150 3276 3360 3600 3640 3744 3900 3908 4095 4200 4368 4550 4680 4885 5040 5200 5460 5600 5850 5862 6240 6300 6552 6825 6839 7200 7280 7800 7816 8190 8400 8736 8793 9100 9360 9770 10080 10400 10920 11700 11724 12600 12701 13104 13650 13678 14560 14655 15600 15632 16380 16800 17586 18200 18720 19540 20475 20517 21840 23400 23448 24425 25200 25402 26208 27300 27356 29310 31200 31264 32760 34195 35172 36400 38103 39080 40950 41034 43680 43965 46800 46896 48850 50400 50804 54600 54712 58620 61551 63505 65520 68390 70344 72800 73275 76206 78160 81900 82068 87930 88907 93600 93792 97700 101608 102585 109200 109424 114309 117240 123102 127010 131040 136780 140688 146550 152412 156320 163800 164136 170975 175860 177814 190515 195400 203216 205170 218400 218848 219825 228618 234480 246204 254020 266721 273560 281376 293100 304824 307755 317525 327600 328272 341950 351720 355628 381030 390800 406432 410340 439650 444535 457236 468960 492408 508040 512925 533442 547120 571545 586200 609648 615510 635050 655200 656544 683900 703440 711256 762060 781600 800163 820680 879300 889070 914472 952575 984816 1016080 1025850 1066884 1094240 1143090 1172400 1219296 1231020 1270100 1333605 1367800 1406880 1422512 1524120 1538775 1600326 1641360 1758600 1778140 1828944 1905150 1969632 2032160 2051700 2133768 2222675 2286180 2344800 2462040 2540200 2667210 2735600 2845024 2857725 3048240 3077550 3200652 3282720 3517200 3556280 3657888 3810300 4000815 4103400 4267536 4445350 4572360 4924080 5080400 5334420 5471200 5715450 6096480 6155100 6401304 6668025 7034400 7112560 7620600 8001630 8206800 8535072 8890700 9144720 9848160 10160800 10668840 11430900 12310200 12802608 13336050 14225120 15241200 16003260 16413600 17781400 18289440 20004075 21337680 22861800 24620400 25605216 26672100 30482400 32006520 35562800 40008150 42675360 45723600 49240800 53344200 64013040 71125600 80016300 91447200 106688400 128026080 160032600 213376800 320065200 640130400
- Sum of all divisors σ(n): 2781009504
- Sum of proper divisors (its aliquot sum) s(n): 2140879104
- 640130400 is an abundant number, because the sum of its proper divisors (2140879104) is greater than itself. Its abundance is 1500748704
Bases of 640130400
- Binary: 1001100010011110011101011000002
- Hexadecimal: 0x26279D60
- Base-36: AL47S0
Squares and roots of 640130400
- 640130400 squared (6401304002) is 409766929004160000
- 640130400 cubed (6401304003) is 262304268170204542464000000
-
The
square root of 640130400 is 25300.7984063745 -
The
cube root of 640130400 is 861.8324008473
Scales and comparisons
How big is 640130400?- 640,130,400 seconds is equal to 20 years, 18 weeks, 2 days, 22 hours.
-
To count from 1 to 640,130,400 would take you about thirty 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 640130400 cubic inches would be around 71.8 feet tall.
Recreational maths with 640130400
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