138172320
138,172,320 is an even composite number composed of six prime numbers multiplied together.
138172320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138172320:
25 × 32 × 5 × 112 × 13 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 13 × 61)See below for interesting mathematical facts about the number 138172320 from the Numbermatics database.
Names of 138172320
- Cardinal: 138172320 can be written as One hundred thirty-eight million, one hundred seventy-two thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3817232 × 108
Factors of 138172320
Divisors of 138172320
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 32 33 36 39 40 44 45 48 52 55 60 61 65 66 72 78 80 88 90 96 99 104 110 117 120 121 122 130 132 143 144 156 160 165 176 180 183 195 198 208 220 234 240 242 244 260 264 286 288 305 312 330 352 360 363 366 390 396 416 429 440 468 480 484 488 495 520 528 549 572 585 605 610 624 660 671 715 720 726 732 780 792 793 858 880 915 936 968 976 990 1040 1056 1089 1098 1144 1170 1210 1220 1248 1287 1320 1342 1430 1440 1452 1464 1560 1573 1584 1586 1716 1760 1815 1830 1872 1936 1952 1980 2013 2080 2145 2178 2196 2288 2340 2379 2420 2440 2574 2640 2684 2745 2860 2904 2928 3120 3146 3168 3172 3355 3432 3630 3660 3744 3872 3960 3965 4026 4290 4356 4392 4576 4680 4719 4758 4840 4880 5148 5280 5368 5445 5490 5720 5808 5856 6039 6240 6292 6344 6435 6710 6864 7137 7260 7320 7381 7865 7920 7930 8052 8580 8712 8723 8784 9360 9438 9516 9680 9760 10065 10296 10736 10890 10980 11440 11616 11895 12078 12584 12688 12870 13420 13728 14157 14274 14520 14640 14762 15730 15840 15860 16104 17160 17424 17446 17568 18720 18876 19032 19360 20130 20592 21472 21780 21960 22143 22880 23595 23790 24156 25168 25376 25740 26169 26840 28314 28548 29040 29280 29524 30195 31460 31720 32208 34320 34848 34892 35685 36905 37752 38064 40260 41184 43560 43615 43920 44286 47190 47580 48312 50336 51480 52338 53680 56628 57096 58080 59048 60390 62920 63440 64416 66429 68640 69784 70785 71370 73810 75504 76128 78507 80520 87120 87230 87840 88572 94380 95160 95953 96624 102960 104676 107360 110715 113256 114192 118096 120780 125840 126880 130845 132858 139568 141570 142740 147620 151008 157014 161040 174240 174460 177144 188760 190320 191906 193248 205920 209352 221430 226512 228384 236192 241560 251680 261690 265716 279136 283140 285480 287859 295240 314028 322080 332145 348920 354288 377520 380640 383812 392535 418704 442860 453024 479765 483120 523380 531432 566280 570960 575718 590480 628056 664290 697840 708576 755040 767624 785070 837408 863577 885720 959530 966240 1046760 1062864 1132560 1141920 1151436 1180960 1256112 1328580 1395680 1439295 1535248 1570140 1727154 1771440 1919060 2093520 2125728 2265120 2302872 2512224 2657160 2878590 3070496 3140280 3454308 3542880 3838120 4187040 4317885 4605744 5314320 5757180 6280560 6908616 7676240 8635770 9211488 10628640 11514360 12561120 13817232 15352480 17271540 23028720 27634464 34543080 46057440 69086160 138172320
- Sum of all divisors σ(n): 567291816
- Sum of proper divisors (its aliquot sum) s(n): 429119496
- 138172320 is an abundant number, because the sum of its proper divisors (429119496) is greater than itself. Its abundance is 290947176
Bases of 138172320
- Binary: 10000011110001010111101000002
- Hexadecimal: 0x83C57A0
- Base-36: 2A9IG0
Squares and roots of 138172320
- 138172320 squared (1381723202) is 19091590014182400
- 138172320 cubed (1381723203) is 2637929284748415111168000
-
The
square root of 138172320 is 11754.6722625517 -
The
cube root of 138172320 is 516.9799298079
Scales and comparisons
How big is 138172320?- 138,172,320 seconds is equal to 4 years, 20 weeks, 3 days, 5 hours, 12 minutes.
-
To count from 1 to 138,172,320 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 138172320 cubic inches would be around 43.1 feet tall.
Recreational maths with 138172320
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