138605040
138,605,040 is an even composite number composed of six prime numbers multiplied together.
138605040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138605040:
24 × 33 × 5 × 7 × 89 × 103
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 89 × 103)See below for interesting mathematical facts about the number 138605040 from the Numbermatics database.
Names of 138605040
- Cardinal: 138605040 can be written as One hundred thirty-eight million, six hundred five thousand and forty.
Scientific notation
- Scientific notation: 1.3860504 × 108
Factors of 138605040
Divisors of 138605040
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 89 90 103 105 108 112 120 126 135 140 144 168 178 180 189 206 210 216 240 252 267 270 280 309 315 336 356 360 378 412 420 432 445 504 515 534 540 560 618 623 630 712 720 721 756 801 824 840 890 927 945 1008 1030 1068 1080 1236 1246 1260 1335 1424 1442 1512 1545 1602 1648 1680 1780 1854 1869 1890 2060 2136 2160 2163 2403 2472 2492 2520 2670 2781 2884 3024 3090 3115 3204 3560 3605 3708 3738 3780 4005 4120 4272 4326 4635 4806 4944 4984 5040 5340 5562 5607 5768 6180 6230 6408 6489 7120 7210 7416 7476 7560 8010 8240 8652 9167 9270 9345 9612 9968 10680 10815 11124 11214 11536 12015 12360 12460 12816 12978 13905 14420 14832 14952 15120 16020 16821 17304 18334 18540 18690 19224 19467 21360 21630 22248 22428 24030 24720 24920 25956 27501 27810 28035 28840 29904 32040 32445 33642 34608 36668 37080 37380 38448 38934 43260 44496 44856 45835 48060 49840 51912 55002 55620 56070 57680 64080 64169 64890 67284 73336 74160 74760 77868 82503 84105 86520 89712 91670 96120 97335 103824 110004 111240 112140 128338 129780 134568 137505 146672 149520 155736 165006 168210 173040 183340 192240 192507 194670 220008 222480 224280 247509 256676 259560 269136 275010 311472 320845 330012 336420 366680 385014 389340 412515 440016 448560 495018 513352 519120 550020 577521 641690 660024 672840 733360 770028 778680 825030 962535 990036 1026704 1100040 1155042 1237545 1283380 1320048 1345680 1540056 1557360 1650060 1732563 1925070 1980072 2200080 2310084 2475090 2566760 2887605 3080112 3300120 3465126 3850140 3960144 4620168 4950180 5133520 5775210 6600240 6930252 7700280 8662815 9240336 9900360 11550420 13860504 15400560 17325630 19800720 23100840 27721008 34651260 46201680 69302520 138605040
- Sum of all divisors σ(n): 557107200
- Sum of proper divisors (its aliquot sum) s(n): 418502160
- 138605040 is an abundant number, because the sum of its proper divisors (418502160) is greater than itself. Its abundance is 279897120
Bases of 138605040
- Binary: 10000100001011110001111100002
- Hexadecimal: 0x842F1F0
- Base-36: 2AISC0
Squares and roots of 138605040
- 138605040 squared (1386050402) is 19211357113401600
- 138605040 cubed (1386050403) is 2662790921157313304064000
-
The
square root of 138605040 is 11773.0641720837 -
The
cube root of 138605040 is 517.5190499183
Scales and comparisons
How big is 138605040?- 138,605,040 seconds is equal to 4 years, 21 weeks, 1 day, 5 hours, 24 minutes.
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To count from 1 to 138,605,040 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 138605040 cubic inches would be around 43.1 feet tall.
Recreational maths with 138605040
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