138321540
138,321,540 is an even composite number composed of seven prime numbers multiplied together.
138321540 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138321540:
22 × 33 × 5 × 7 × 23 × 37 × 43
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 23 × 37 × 43)See below for interesting mathematical facts about the number 138321540 from the Numbermatics database.
Names of 138321540
- Cardinal: 138321540 can be written as One hundred thirty-eight million, three hundred twenty-one thousand, five hundred forty.
Scientific notation
- Scientific notation: 1.3832154 × 108
Factors of 138321540
Divisors of 138321540
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 27 28 30 35 36 37 42 43 45 46 54 60 63 69 70 74 84 86 90 92 105 108 111 115 126 129 135 138 140 148 161 172 180 185 189 207 210 215 222 230 252 258 259 270 276 301 315 322 333 345 370 378 387 414 420 430 444 460 483 516 518 540 555 602 621 630 644 645 666 690 740 756 774 777 805 828 851 860 903 945 966 989 999 1035 1036 1110 1161 1204 1242 1260 1290 1295 1332 1380 1449 1505 1548 1554 1591 1610 1665 1702 1806 1890 1932 1935 1978 1998 2070 2220 2322 2331 2415 2484 2553 2580 2590 2709 2898 2967 3010 3105 3108 3182 3220 3330 3404 3612 3780 3870 3885 3956 3996 4140 4255 4347 4515 4644 4662 4773 4830 4945 4995 5106 5180 5418 5796 5805 5934 5957 6020 6210 6364 6660 6923 6993 7245 7659 7740 7770 7955 8127 8510 8694 8901 9030 9324 9546 9660 9890 9990 10212 10836 11137 11610 11655 11868 11914 12420 12765 13545 13846 13986 14319 14490 14835 15318 15540 15910 16254 17020 17388 17802 17871 18060 19092 19780 19980 20769 21735 22274 22977 23220 23310 23828 23865 25530 26703 27090 27692 27972 28638 28980 29670 29785 30636 31820 32508 33411 34615 34965 35604 35742 36593 38295 40635 41538 42957 43470 44505 44548 45954 46620 47730 51060 53406 53613 54180 55685 57276 59340 59570 62307 66822 69230 69930 71484 71595 73186 76590 81270 83076 85914 86940 89010 89355 91908 95460 100233 103845 106812 107226 109779 111370 114885 119140 124614 133515 133644 138460 139860 143190 146372 153180 160839 162540 167055 171828 178020 178710 182965 186921 200466 207690 214452 214785 219558 222740 229770 249228 256151 267030 268065 286380 300699 311535 321678 329337 334110 357420 365930 373842 400932 415380 429570 439116 459540 501165 512302 534060 536130 548895 601398 623070 643356 658674 668220 731860 747684 768453 804195 859140 934605 988011 1002330 1024604 1072260 1097790 1202796 1246140 1280755 1317348 1503495 1536906 1608390 1646685 1869210 1976022 2004660 2195580 2305359 2561510 3006990 3073812 3216780 3293370 3738420 3842265 3952044 4610718 4940055 5123020 6013980 6586740 6916077 7684530 9221436 9880110 11526795 13832154 15369060 19760220 23053590 27664308 34580385 46107180 69160770 138321540
- Sum of all divisors σ(n): 539320320
- Sum of proper divisors (its aliquot sum) s(n): 400998780
- 138321540 is an abundant number, because the sum of its proper divisors (400998780) is greater than itself. Its abundance is 262677240
Bases of 138321540
- Binary: 10000011111010011110100001002
- Hexadecimal: 0x83E9E84
- Base-36: 2ACPL0
Squares and roots of 138321540
- 138321540 squared (1383215402) is 19132848427971600
- 138321540 cubed (1383215403) is 2646485059143610788264000
-
The
square root of 138321540 is 11761.0178130977 -
The
cube root of 138321540 is 517.1659680129
Scales and comparisons
How big is 138321540?- 138,321,540 seconds is equal to 4 years, 20 weeks, 4 days, 22 hours, 39 minutes.
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To count from 1 to 138,321,540 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 138321540 cubic inches would be around 43.1 feet tall.
Recreational maths with 138321540
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