138397140
138,397,140 is an even composite number composed of seven prime numbers multiplied together.
138397140 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 138397140:
22 × 33 × 5 × 7 × 19 × 41 × 47
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 19 × 41 × 47)See below for interesting mathematical facts about the number 138397140 from the Numbermatics database.
Names of 138397140
- Cardinal: 138397140 can be written as One hundred thirty-eight million, three hundred ninety-seven thousand, one hundred forty.
Scientific notation
- Scientific notation: 1.3839714 × 108
Factors of 138397140
Divisors of 138397140
- 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 19 20 21 27 28 30 35 36 38 41 42 45 47 54 57 60 63 70 76 82 84 90 94 95 105 108 114 123 126 133 135 140 141 164 171 180 188 189 190 205 210 228 235 246 252 266 270 282 285 287 315 329 342 369 378 380 399 410 420 423 470 492 513 532 540 564 570 574 615 630 658 665 684 705 738 756 779 798 820 846 855 861 893 940 945 987 1026 1107 1140 1148 1197 1230 1260 1269 1316 1330 1410 1435 1476 1558 1596 1645 1692 1710 1722 1786 1845 1890 1927 1974 1995 2052 2115 2214 2337 2394 2460 2538 2565 2583 2660 2679 2820 2870 2961 3116 3290 3420 3444 3572 3591 3690 3780 3854 3895 3948 3990 4230 4305 4428 4465 4674 4788 4935 5076 5130 5166 5358 5453 5535 5740 5781 5922 5985 6251 6345 6580 7011 7182 7380 7708 7749 7790 7980 8037 8460 8610 8883 8930 9348 9635 9870 10260 10332 10716 10906 11070 11562 11685 11844 11970 12502 12690 12915 13395 13489 14022 14364 14805 15498 15580 16074 16359 17220 17343 17766 17860 17955 18753 19270 19740 21033 21812 22140 23124 23370 23940 24111 25004 25380 25830 26790 26978 27265 28044 28905 29610 30996 31255 32148 32718 34686 35055 35532 35910 36613 37506 38540 38745 40185 40467 42066 44415 46740 48222 49077 51660 52029 53580 53956 54530 56259 57810 59220 62510 65436 67445 69372 70110 71820 73226 75012 77490 80370 80934 81795 84132 86715 88830 93765 96444 98154 104058 105165 109060 109839 112518 115620 120555 121401 125020 134890 140220 146452 147231 154980 160740 161868 163590 168777 173430 177660 183065 187530 196308 202335 208116 210330 219678 225036 241110 242802 245385 256291 260145 269780 281295 294462 327180 329517 337554 346860 364203 366130 375060 404670 420660 439356 482220 485604 490770 512582 520290 549195 562590 588924 607005 659034 675108 728406 732260 736155 768873 809340 843885 981540 988551 1025164 1040580 1098390 1125180 1214010 1281455 1318068 1456812 1472310 1537746 1647585 1687770 1821015 1977102 2196780 2306619 2428020 2562910 2944620 3075492 3295170 3375540 3642030 3844365 3954204 4613238 4942755 5125820 6590340 6919857 7284060 7688730 9226476 9885510 11533095 13839714 15377460 19771020 23066190 27679428 34599285 46132380 69198570 138397140
- Sum of all divisors σ(n): 541900800
- Sum of proper divisors (its aliquot sum) s(n): 403503660
- 138397140 is an abundant number, because the sum of its proper divisors (403503660) is greater than itself. Its abundance is 265106520
Bases of 138397140
- Binary: 10000011111111000101110101002
- Hexadecimal: 0x83FC5D4
- Base-36: 2AEBX0
Squares and roots of 138397140
- 138397140 squared (1383971402) is 19153768360179600
- 138397140 cubed (1383971403) is 2650826761271346526344000
-
The
square root of 138397140 is 11764.2313816075 -
The
cube root of 138397140 is 517.2601703243
Scales and comparisons
How big is 138397140?- 138,397,140 seconds is equal to 4 years, 20 weeks, 5 days, 19 hours, 39 minutes.
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To count from 1 to 138,397,140 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 138397140 cubic inches would be around 43.1 feet tall.
Recreational maths with 138397140
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