138623940
138,623,940 is an even composite number composed of six prime numbers multiplied together.
138623940 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 138623940:
22 × 33 × 5 × 72 × 132 × 31
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 13 × 31)See below for interesting mathematical facts about the number 138623940 from the Numbermatics database.
Names of 138623940
- Cardinal: 138623940 can be written as One hundred thirty-eight million, six hundred twenty-three thousand, nine hundred forty.
Scientific notation
- Scientific notation: 1.3862394 × 108
Factors of 138623940
Divisors of 138623940
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 27 28 30 31 35 36 39 42 45 49 52 54 60 62 63 65 70 78 84 90 91 93 98 105 108 117 124 126 130 135 140 147 155 156 169 180 182 186 189 195 196 210 217 234 245 252 260 270 273 279 294 310 315 338 351 364 372 378 390 403 420 434 441 455 465 468 490 507 540 546 558 585 588 620 630 637 651 676 702 735 756 780 806 819 837 845 868 882 910 930 945 980 1014 1085 1092 1116 1170 1183 1209 1260 1274 1302 1323 1365 1395 1404 1470 1519 1521 1612 1638 1674 1690 1755 1764 1820 1860 1890 1911 1953 2015 2028 2170 2205 2340 2366 2418 2457 2535 2548 2604 2646 2730 2790 2821 2940 3038 3042 3185 3255 3276 3348 3380 3510 3549 3627 3780 3822 3906 4030 4095 4185 4340 4410 4557 4563 4732 4836 4914 5070 5239 5292 5460 5580 5642 5733 5859 5915 6045 6076 6084 6370 6510 6615 7020 7098 7254 7595 7605 7644 7812 8060 8190 8281 8370 8463 8820 9114 9126 9555 9765 9828 10140 10478 10647 10881 11284 11466 11718 11830 12090 12285 12740 13020 13230 13671 14105 14196 14508 15190 15210 15717 16380 16562 16740 16926 17199 17745 18135 18228 18252 19110 19530 19747 20956 21294 21762 22785 22815 22932 23436 23660 24180 24570 24843 25389 26195 26460 27342 28210 28665 29295 30380 30420 31434 31941 33124 33852 34398 35490 36270 36673 38220 39060 39494 41013 41405 42315 42588 43524 45570 45630 47151 49140 49686 50778 52390 53235 54405 54684 56420 57330 58590 59241 62868 63882 68355 68796 70980 72540 73346 74529 76167 78585 78988 82026 82810 84630 85995 91140 91260 94302 98735 99372 101556 104780 106470 108810 110019 114660 117180 118482 124215 126945 127764 136710 141453 146692 149058 152334 157170 159705 164052 165620 169260 171990 177723 183365 188604 197470 205065 212940 217620 220038 223587 235755 236964 248430 253890 256711 273420 282906 296205 298116 304668 314340 319410 330057 343980 355446 366730 372645 380835 394940 410130 440076 447174 471510 496860 507780 513422 533169 550095 565812 592410 638820 660114 707265 710892 733460 745290 761670 770133 820260 888615 894348 943020 990171 1026844 1066338 1100190 1117935 1184820 1283555 1320228 1414530 1490580 1523340 1540266 1650285 1777230 1980342 2132676 2200380 2235870 2310399 2567110 2665845 2829060 3080532 3300570 3554460 3850665 3960684 4471740 4620798 4950855 5134220 5331690 6601140 6931197 7701330 9241596 9901710 10663380 11551995 13862394 15402660 19803420 23103990 27724788 34655985 46207980 69311970 138623940
- Sum of all divisors σ(n): 560770560
- Sum of proper divisors (its aliquot sum) s(n): 422146620
- 138623940 is an abundant number, because the sum of its proper divisors (422146620) is greater than itself. Its abundance is 283522680
Bases of 138623940
- Binary: 10000100001100111011110001002
- Hexadecimal: 0x8433BC4
- Base-36: 2AJ6X0
Squares and roots of 138623940
- 138623940 squared (1386239402) is 19216596741123600
- 138623940 cubed (1386239403) is 2663880353645713458984000
-
The
square root of 138623940 is 11773.8668244549 -
The
cube root of 138623940 is 517.5425715869
Scales and comparisons
How big is 138623940?- 138,623,940 seconds is equal to 4 years, 21 weeks, 1 day, 10 hours, 39 minutes.
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To count from 1 to 138,623,940 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 138623940 cubic inches would be around 43.1 feet tall.
Recreational maths with 138623940
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