988138320
988,138,320 is an even composite number composed of seven prime numbers multiplied together.
988138320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 988138320:
24 × 3 × 5 × 13 × 19 × 79 × 211
(2 × 2 × 2 × 2 × 3 × 5 × 13 × 19 × 79 × 211)See below for interesting mathematical facts about the number 988138320 from the Numbermatics database.
Names of 988138320
- Cardinal: 988138320 can be written as Nine hundred eighty-eight million, one hundred thirty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 9.8813832 × 108
Factors of 988138320
Divisors of 988138320
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 79 80 95 104 114 120 130 152 156 158 190 195 208 211 228 237 240 247 260 285 304 312 316 380 390 395 422 456 474 494 520 570 624 632 633 741 760 780 790 844 912 948 988 1027 1040 1055 1140 1185 1235 1264 1266 1482 1501 1520 1560 1580 1688 1896 1976 2054 2110 2280 2370 2470 2532 2743 2964 3002 3081 3120 3160 3165 3376 3705 3792 3952 4009 4108 4220 4503 4560 4740 4940 5064 5135 5486 5928 6004 6162 6320 6330 7410 7505 8018 8216 8229 8440 9006 9480 9880 10128 10270 10972 11856 12008 12027 12324 12660 13715 14820 15010 15405 16036 16432 16458 16669 16880 18012 18960 19513 19760 20045 20540 21944 22515 24016 24054 24648 25320 27430 29640 30020 30810 32072 32916 33338 36024 39026 40090 41080 41145 43888 45030 48108 49296 50007 50640 52117 54860 58539 59280 60040 60135 61620 64144 65832 66676 72048 78052 80180 82160 82290 83345 90060 96216 97565 100014 104234 109720 117078 120080 120270 123240 131664 133352 156104 156351 160360 164580 166690 180120 192432 195130 200028 208468 216697 219440 234156 240540 246480 250035 260585 266704 292695 312208 312702 316711 320720 329160 333380 360240 390260 400056 416936 433394 468312 481080 500070 521170 585390 625404 633422 650091 658320 666760 780520 781755 800112 833872 866788 936624 950133 962160 1000140 1042340 1083485 1170780 1250808 1266844 1300182 1333520 1561040 1563510 1583555 1733576 1900266 2000280 2084680 2166970 2341560 2501616 2533688 2600364 3127020 3167110 3250455 3467152 3800532 4000560 4117243 4169360 4333940 4683120 4750665 5067376 5200728 6254040 6334220 6500910 7601064 8234486 8667880 9501330 10401456 12351729 12508080 12668440 13001820 15202128 16468972 17335760 19002660 20586215 24703458 25336880 26003640 32937944 38005320 41172430 49406916 52007280 61758645 65875888 76010640 82344860 98813832 123517290 164689720 197627664 247034580 329379440 494069160 988138320
- Sum of all divisors σ(n): 3533107200
- Sum of proper divisors (its aliquot sum) s(n): 2544968880
- 988138320 is an abundant number, because the sum of its proper divisors (2544968880) is greater than itself. Its abundance is 1556830560
Bases of 988138320
- Binary: 1110101110010111001011010100002
- Hexadecimal: 0x3AE5CB50
- Base-36: GCB8EO
Squares and roots of 988138320
- 988138320 squared (9881383202) is 976417339452422400
- 988138320 cubed (9881383203) is 964835389425386390266368000
-
The
square root of 988138320 is 31434.6674867097 -
The
cube root of 988138320 is 996.0303695519
Scales and comparisons
How big is 988138320?- 988,138,320 seconds is equal to 31 years, 21 weeks, 5 days, 18 hours, 52 minutes.
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To count from 1 to 988,138,320 would take you about forty-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 988138320 cubic inches would be around 83 feet tall.
Recreational maths with 988138320
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