138964320
138,964,320 is an even composite number composed of six prime numbers multiplied together.
138964320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138964320:
25 × 32 × 5 × 11 × 31 × 283
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 31 × 283)See below for interesting mathematical facts about the number 138964320 from the Numbermatics database.
Names of 138964320
- Cardinal: 138964320 can be written as One hundred thirty-eight million, nine hundred sixty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3896432 × 108
Factors of 138964320
Divisors of 138964320
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 31 32 33 36 40 44 45 48 55 60 62 66 72 80 88 90 93 96 99 110 120 124 132 144 155 160 165 176 180 186 198 220 240 248 264 279 283 288 310 330 341 352 360 372 396 440 465 480 495 496 528 558 566 620 660 682 720 744 792 849 880 930 990 992 1023 1056 1116 1132 1240 1320 1364 1395 1415 1440 1488 1584 1698 1705 1760 1860 1980 2046 2232 2264 2480 2547 2640 2728 2790 2830 2976 3069 3113 3168 3396 3410 3720 3960 4092 4245 4464 4528 4960 5094 5115 5280 5456 5580 5660 6138 6226 6792 6820 7440 7920 8184 8490 8773 8928 9056 9339 10188 10230 10912 11160 11320 12276 12452 12735 13584 13640 14880 15345 15565 15840 16368 16980 17546 18678 20376 20460 22320 22640 24552 24904 25470 26319 27168 27280 28017 30690 31130 32736 33960 35092 37356 40752 40920 43865 44640 45280 46695 49104 49808 50940 52638 54560 56034 61380 62260 67920 70184 74712 78957 81504 81840 87730 93390 96503 98208 99616 101880 105276 112068 122760 124520 131595 135840 140085 140368 149424 157914 163680 175460 186780 193006 203760 210552 224136 245520 249040 263190 280170 280736 289509 298848 315828 350920 373560 386012 394785 407520 421104 448272 482515 491040 498080 526380 560340 579018 631656 701840 747120 772024 789570 842208 868527 896544 965030 1052760 1120680 1158036 1263312 1403680 1447545 1494240 1544048 1579140 1737054 1930060 2105520 2241360 2316072 2526624 2895090 3088096 3158280 3474108 3860120 4211040 4342635 4482720 4632144 5790180 6316560 6948216 7720240 8685270 9264288 11580360 12633120 13896432 15440480 17370540 23160720 27792864 34741080 46321440 69482160 138964320
- Sum of all divisors σ(n): 535901184
- Sum of proper divisors (its aliquot sum) s(n): 396936864
- 138964320 is an abundant number, because the sum of its proper divisors (396936864) is greater than itself. Its abundance is 257972544
Bases of 138964320
- Binary: 10000100100001101101011000002
- Hexadecimal: 0x8486D60
- Base-36: 2AQHK0
Squares and roots of 138964320
- 138964320 squared (1389643202) is 19311082233062400
- 138964320 cubed (1389643203) is 2683551410981597933568000
-
The
square root of 138964320 is 11788.3128563845 -
The
cube root of 138964320 is 517.9658201585
Scales and comparisons
How big is 138964320?- 138,964,320 seconds is equal to 4 years, 21 weeks, 5 days, 9 hours, 12 minutes.
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To count from 1 to 138,964,320 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 138964320 cubic inches would be around 43.2 feet tall.
Recreational maths with 138964320
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