968968000
968,968,000 is an even composite number composed of five prime numbers multiplied together.
968968000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 968968000:
26 × 53 × 7 × 113 × 13
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 13)See below for interesting mathematical facts about the number 968968000 from the Numbermatics database.
Names of 968968000
- Cardinal: 968968000 can be written as Nine hundred sixty-eight million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 9.68968 × 108
Factors of 968968000
Divisors of 968968000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 50 52 55 56 64 65 70 77 80 88 91 100 104 110 112 121 125 130 140 143 154 160 175 176 182 200 208 220 224 242 250 260 275 280 286 308 320 325 350 352 364 385 400 416 440 448 455 484 500 520 550 560 572 605 616 650 700 704 715 728 770 800 832 847 875 880 910 968 1000 1001 1040 1100 1120 1144 1210 1232 1300 1331 1375 1400 1430 1456 1540 1573 1600 1625 1694 1750 1760 1820 1925 1936 2000 2002 2080 2200 2240 2275 2288 2420 2464 2600 2662 2750 2800 2860 2912 3025 3080 3146 3250 3388 3500 3520 3575 3640 3850 3872 4000 4004 4160 4235 4400 4550 4576 4840 4928 5005 5200 5324 5500 5600 5720 5824 6050 6160 6292 6500 6655 6776 7000 7150 7280 7700 7744 7865 8000 8008 8470 8800 9100 9152 9317 9625 9680 10010 10400 10648 11000 11011 11200 11375 11440 12100 12320 12584 13000 13310 13552 14000 14300 14560 15125 15400 15730 16016 16940 17303 17600 17875 18200 18634 19250 19360 20020 20800 21175 21296 22000 22022 22750 22880 24200 24640 25025 25168 26000 26620 27104 28000 28600 29120 30250 30800 31460 32032 33275 33880 34606 35750 36400 37268 38500 38720 39325 40040 42350 42592 44000 44044 45500 45760 46585 48400 50050 50336 52000 53240 54208 55055 56000 57200 60500 61600 62920 64064 66550 67760 69212 71500 72800 74536 77000 78650 80080 84700 85184 86515 88000 88088 91000 93170 96800 100100 100672 104000 105875 106480 110110 114400 121000 121121 123200 125125 125840 133100 135520 138424 143000 145600 149072 154000 157300 160160 166375 169400 173030 176176 182000 186340 193600 196625 200200 211750 212960 220220 228800 232925 242000 242242 250250 251680 266200 271040 275275 276848 286000 298144 308000 314600 320320 332750 338800 346060 352352 364000 372680 393250 400400 423500 425920 432575 440440 465850 484000 484484 500500 503360 532400 550550 553696 572000 596288 605605 616000 629200 665500 677600 692120 704704 728000 745360 786500 800800 847000 865150 880880 931700 968000 968968 1001000 1064800 1101100 1107392 1144000 1164625 1211210 1258400 1331000 1355200 1376375 1384240 1490720 1573000 1601600 1694000 1730300 1761760 1863400 1937936 2002000 2129600 2162875 2202200 2329250 2422420 2516800 2662000 2752750 2768480 2981440 3028025 3146000 3388000 3460600 3523520 3726800 3875872 4004000 4325750 4404400 4658500 4844840 5324000 5505500 5536960 6056050 6292000 6776000 6921200 7453600 7751744 8008000 8651500 8808800 9317000 9689680 10648000 11011000 12112100 12584000 13842400 14907200 15140125 17303000 17617600 18634000 19379360 22022000 24224200 27684800 30280250 34606000 37268000 38758720 44044000 48448400 60560500 69212000 74536000 88088000 96896800 121121000 138424000 193793600 242242000 484484000 968968000
- Sum of all divisors σ(n): 3248534016
- Sum of proper divisors (its aliquot sum) s(n): 2279566016
- 968968000 is an abundant number, because the sum of its proper divisors (2279566016) is greater than itself. Its abundance is 1310598016
Bases of 968968000
- Binary: 1110011100000101000111010000002
- Hexadecimal: 0x39C14740
- Base-36: G0WCHS
Squares and roots of 968968000
- 968968000 squared (9689680002) is 938898985024000000
- 968968000 cubed (9689680003) is 909763071720735232000000000
-
The
square root of 968968000 is 31128.2508342503 -
The
cube root of 968968000 is 989.5471179605
Scales and comparisons
How big is 968968000?- 968,968,000 seconds is equal to 30 years, 42 weeks, 21 hours, 46 minutes, 40 seconds.
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To count from 1 to 968,968,000 would take you about forty-six 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 968968000 cubic inches would be around 82.5 feet tall.
Recreational maths with 968968000
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