680140800
680,140,800 is an even composite number composed of four prime numbers multiplied together.
680140800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 680140800:
213 × 34 × 52 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 41)See below for interesting mathematical facts about the number 680140800 from the Numbermatics database.
Names of 680140800
- Cardinal: 680140800 can be written as Six hundred eighty million, one hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 6.801408 × 108
Factors of 680140800
Divisors of 680140800
- Number of divisors d(n): 420
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 48 50 54 60 64 72 75 80 81 82 90 96 100 108 120 123 128 135 144 150 160 162 164 180 192 200 205 216 225 240 246 256 270 288 300 320 324 328 360 369 384 400 405 410 432 450 480 492 512 540 576 600 615 640 648 656 675 720 738 768 800 810 820 864 900 960 984 1024 1025 1080 1107 1152 1200 1230 1280 1296 1312 1350 1440 1476 1536 1600 1620 1640 1728 1800 1845 1920 1968 2025 2048 2050 2160 2214 2304 2400 2460 2560 2592 2624 2700 2880 2952 3072 3075 3200 3240 3280 3321 3456 3600 3690 3840 3936 4050 4096 4100 4320 4428 4608 4800 4920 5120 5184 5248 5400 5535 5760 5904 6144 6150 6400 6480 6560 6642 6912 7200 7380 7680 7872 8100 8192 8200 8640 8856 9216 9225 9600 9840 10240 10368 10496 10800 11070 11520 11808 12288 12300 12800 12960 13120 13284 13824 14400 14760 15360 15744 16200 16400 16605 17280 17712 18432 18450 19200 19680 20480 20736 20992 21600 22140 23040 23616 24576 24600 25600 25920 26240 26568 27648 27675 28800 29520 30720 31488 32400 32800 33210 34560 35424 36864 36900 38400 39360 40960 41472 41984 43200 44280 46080 47232 49200 51200 51840 52480 53136 55296 55350 57600 59040 61440 62976 64800 65600 66420 69120 70848 73728 73800 76800 78720 82944 83025 83968 86400 88560 92160 94464 98400 102400 103680 104960 106272 110592 110700 115200 118080 122880 125952 129600 131200 132840 138240 141696 147600 153600 157440 165888 166050 167936 172800 177120 184320 188928 196800 204800 207360 209920 212544 221184 221400 230400 236160 251904 259200 262400 265680 276480 283392 295200 307200 314880 331776 332100 335872 345600 354240 368640 377856 393600 414720 419840 425088 442800 460800 472320 503808 518400 524800 531360 552960 566784 590400 614400 629760 663552 664200 691200 708480 755712 787200 829440 839680 850176 885600 921600 944640 1007616 1036800 1049600 1062720 1105920 1133568 1180800 1259520 1328400 1382400 1416960 1511424 1574400 1658880 1679360 1700352 1771200 1843200 1889280 2073600 2099200 2125440 2267136 2361600 2519040 2656800 2764800 2833920 3022848 3148800 3317760 3400704 3542400 3778560 4147200 4198400 4250880 4534272 4723200 5038080 5313600 5529600 5667840 6297600 6801408 7084800 7557120 8294400 8396800 8501760 9068544 9446400 10627200 11335680 12595200 13602816 14169600 15114240 16588800 17003520 18892800 21254400 22671360 25190400 27205632 28339200 34007040 37785600 42508800 45342720 56678400 68014080 75571200 85017600 113356800 136028160 170035200 226713600 340070400 680140800
- Sum of all divisors σ(n): 2581010586
- Sum of proper divisors (its aliquot sum) s(n): 1900869786
- 680140800 is an abundant number, because the sum of its proper divisors (1900869786) is greater than itself. Its abundance is 1220728986
Bases of 680140800
- Binary: 1010001000101000100000000000002
- Hexadecimal: 0x288A2000
- Base-36: B8XS00
Squares and roots of 680140800
- 680140800 squared (6801408002) is 462591507824640000
- 680140800 cubed (6801408003) is 314627358205056909312000000
-
The
square root of 680140800 is 26079.5091978357 -
The
cube root of 680140800 is 879.4266237351
Scales and comparisons
How big is 680140800?- 680,140,800 seconds is equal to 21 years, 32 weeks, 4 days.
-
To count from 1 to 680,140,800 would take you about thirty-two 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 680140800 cubic inches would be around 73.3 feet tall.
Recreational maths with 680140800
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