138453120
138,453,120 is an even composite number composed of five prime numbers multiplied together.
138453120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138453120:
27 × 32 × 5 × 13 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 43 × 43)See below for interesting mathematical facts about the number 138453120 from the Numbermatics database.
Names of 138453120
- Cardinal: 138453120 can be written as One hundred thirty-eight million, four hundred fifty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3845312 × 108
Factors of 138453120
Divisors of 138453120
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 43 45 48 52 60 64 65 72 78 80 86 90 96 104 117 120 128 129 130 144 156 160 172 180 192 195 208 215 234 240 258 260 288 312 320 344 360 384 387 390 416 430 468 480 516 520 559 576 585 624 640 645 688 720 774 780 832 860 936 960 1032 1040 1118 1152 1170 1248 1290 1376 1440 1548 1560 1664 1677 1720 1849 1872 1920 1935 2064 2080 2236 2340 2496 2580 2752 2795 2880 3096 3120 3354 3440 3698 3744 3870 4128 4160 4472 4680 4992 5031 5160 5504 5547 5590 5760 6192 6240 6708 6880 7396 7488 7740 8256 8320 8385 8944 9245 9360 10062 10320 11094 11180 12384 12480 13416 13760 14792 14976 15480 16512 16641 16770 17888 18490 18720 20124 20640 22188 22360 24037 24768 24960 25155 26832 27520 27735 29584 30960 33282 33540 35776 36980 37440 40248 41280 44376 44720 48074 49536 50310 53664 55470 59168 61920 66564 67080 71552 72111 73960 74880 80496 82560 83205 88752 89440 96148 100620 107328 110940 118336 120185 123840 133128 134160 144222 147920 160992 166410 177504 178880 192296 201240 214656 216333 221880 236672 240370 247680 266256 268320 288444 295840 321984 332820 355008 357760 360555 384592 402480 432666 443760 480740 532512 536640 576888 591680 643968 665640 710016 721110 769184 804960 865332 887520 961480 1065024 1073280 1081665 1153776 1183360 1331280 1442220 1538368 1609920 1730664 1775040 1922960 2130048 2163330 2307552 2662560 2884440 3076736 3219840 3461328 3550080 3845920 4326660 4615104 5325120 5768880 6922656 7691840 8653320 9230208 10650240 11537760 13845312 15383680 17306640 23075520 27690624 34613280 46151040 69226560 138453120
- Sum of all divisors σ(n): 527124780
- Sum of proper divisors (its aliquot sum) s(n): 388671660
- 138453120 is an abundant number, because the sum of its proper divisors (388671660) is greater than itself. Its abundance is 250218540
Bases of 138453120
- Binary: 10000100000010100000100000002
- Hexadecimal: 0x840A080
- Base-36: 2AFJ40
Squares and roots of 138453120
- 138453120 squared (1384531202) is 19169266437734400
- 138453120 cubed (1384531203) is 2654044746415613411328000
-
The
square root of 138453120 is 11766.6103870231 -
The
cube root of 138453120 is 517.3299027889
Scales and comparisons
How big is 138453120?- 138,453,120 seconds is equal to 4 years, 20 weeks, 6 days, 11 hours, 12 minutes.
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To count from 1 to 138,453,120 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 138453120 cubic inches would be around 43.1 feet tall.
Recreational maths with 138453120
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