138301380
138,301,380 is an even composite number composed of seven prime numbers multiplied together.
138301380 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138301380:
22 × 32 × 5 × 7 × 19 × 53 × 109
(2 × 2 × 3 × 3 × 5 × 7 × 19 × 53 × 109)See below for interesting mathematical facts about the number 138301380 from the Numbermatics database.
Names of 138301380
- Cardinal: 138301380 can be written as One hundred thirty-eight million, three hundred one thousand, three hundred eighty.
Scientific notation
- Scientific notation: 1.3830138 × 108
Factors of 138301380
Divisors of 138301380
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 53 57 60 63 70 76 84 90 95 105 106 109 114 126 133 140 159 171 180 190 210 212 218 228 252 265 266 285 315 318 327 342 371 380 399 420 436 477 530 532 545 570 630 636 654 665 684 742 763 795 798 855 954 981 1007 1060 1090 1113 1140 1197 1260 1308 1330 1484 1526 1590 1596 1635 1710 1855 1908 1962 1995 2014 2071 2180 2226 2289 2385 2394 2660 3021 3052 3180 3270 3339 3420 3710 3815 3924 3990 4028 4142 4452 4578 4770 4788 4905 5035 5565 5777 5985 6042 6213 6540 6678 6867 7049 7420 7630 7980 8284 9063 9156 9540 9810 10070 10355 11130 11445 11554 11970 12084 12426 13356 13734 14098 14497 15105 15260 16695 17331 18126 18639 19620 20140 20710 21147 22260 22890 23108 23940 24852 27468 28196 28885 28994 30210 31065 33390 34335 34662 35245 36252 37278 40439 41420 42294 43491 45315 45780 51993 57770 57988 60420 62130 63441 66780 68670 69324 70490 72485 74556 80878 84588 86655 86982 90630 93195 103986 105735 109763 115540 121317 124260 126882 130473 137340 140980 144970 161756 173310 173964 181260 186390 202195 207972 211470 217455 219526 242634 253764 259965 260946 289940 317205 329289 346620 363951 372780 404390 422940 434910 439052 485268 519930 521892 548815 606585 634410 652365 658578 727902 768341 808780 869820 987867 1039860 1097630 1213170 1268820 1304730 1317156 1455804 1536682 1646445 1819755 1975734 2195260 2305023 2426340 2609460 3073364 3292890 3639510 3841705 3951468 4610046 4939335 6585780 6915069 7279020 7683410 9220092 9878670 11525115 13830138 15366820 19757340 23050230 27660276 34575345 46100460 69150690 138301380
- Sum of all divisors σ(n): 518918400
- Sum of proper divisors (its aliquot sum) s(n): 380617020
- 138301380 is an abundant number, because the sum of its proper divisors (380617020) is greater than itself. Its abundance is 242315640
Bases of 138301380
- Binary: 10000011111001001111110001002
- Hexadecimal: 0x83E4FC4
- Base-36: 2ACA10
Squares and roots of 138301380
- 138301380 squared (1383013802) is 19127271709904400
- 138301380 cubed (1383013803) is 2645328073114738188072000
-
The
square root of 138301380 is 11760.1607131875 -
The
cube root of 138301380 is 517.1408415997
Scales and comparisons
How big is 138301380?- 138,301,380 seconds is equal to 4 years, 20 weeks, 4 days, 17 hours, 3 minutes.
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To count from 1 to 138,301,380 would take you about 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 138301380 cubic inches would be around 43.1 feet tall.
Recreational maths with 138301380
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