138501720
138,501,720 is an even composite number composed of seven prime numbers multiplied together.
138501720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138501720:
23 × 32 × 5 × 7 × 17 × 53 × 61
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 17 × 53 × 61)See below for interesting mathematical facts about the number 138501720 from the Numbermatics database.
Names of 138501720
- Cardinal: 138501720 can be written as One hundred thirty-eight million, five hundred one thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3850172 × 108
Factors of 138501720
Divisors of 138501720
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 17 18 20 21 24 28 30 34 35 36 40 42 45 51 53 56 60 61 63 68 70 72 84 85 90 102 105 106 119 120 122 126 136 140 153 159 168 170 180 183 204 210 212 238 244 252 255 265 280 305 306 315 318 340 357 360 366 371 408 420 424 427 476 477 488 504 510 530 549 595 610 612 630 636 680 714 732 742 765 795 840 854 901 915 952 954 1020 1037 1060 1071 1098 1113 1190 1220 1224 1260 1272 1281 1428 1464 1484 1530 1590 1708 1785 1802 1830 1855 1908 2040 2074 2120 2135 2142 2196 2226 2380 2385 2440 2520 2562 2703 2745 2856 2968 3060 3111 3180 3233 3339 3416 3570 3604 3660 3710 3816 3843 4148 4270 4284 4392 4452 4505 4760 4770 5124 5185 5355 5406 5490 5565 6120 6222 6307 6360 6405 6466 6678 7140 7208 7259 7320 7420 7686 8109 8296 8540 8568 8904 9010 9333 9540 9699 10248 10370 10710 10812 10980 11130 12444 12614 12810 12932 13356 13515 14280 14518 14840 15372 15555 16165 16218 16695 17080 18020 18666 18921 19080 19215 19398 20740 21420 21624 21777 21960 22260 22631 24888 25228 25620 25864 26712 27030 29036 29097 30744 31110 31535 32330 32436 33390 36040 36295 37332 37842 38430 38796 40545 41480 42840 43554 44520 45262 46665 48495 50456 51240 54060 54961 56763 58072 58194 62220 63070 64660 64872 65331 66780 67893 72590 74664 75684 76860 77592 81090 87108 90524 93330 94605 96990 108120 108885 109922 113155 113526 116388 124440 126140 129320 130662 133560 135786 145180 145485 151368 153720 162180 164883 174216 181048 186660 189210 193980 203679 217770 219844 226310 227052 232776 252280 261324 271572 274805 283815 290360 290970 324360 326655 329766 339465 373320 378420 384727 387960 407358 435540 439688 452620 454104 494649 522648 543144 549610 567630 581940 653310 659532 678930 756840 769454 814716 824415 871080 905240 989298 1018395 1099220 1135260 1154181 1163880 1306620 1319064 1357860 1538908 1629432 1648830 1923635 1978596 2036790 2198440 2270520 2308362 2473245 2613240 2715720 3077816 3297660 3462543 3847270 3957192 4073580 4616724 4946490 5770905 6595320 6925086 7694540 8147160 9233448 9892980 11541810 13850172 15389080 17312715 19785960 23083620 27700344 34625430 46167240 69250860 138501720
- Sum of all divisors σ(n): 564071040
- Sum of proper divisors (its aliquot sum) s(n): 425569320
- 138501720 is an abundant number, because the sum of its proper divisors (425569320) is greater than itself. Its abundance is 287067600
Bases of 138501720
- Binary: 10000100000101011110010110002
- Hexadecimal: 0x8415E58
- Base-36: 2AGKM0
Squares and roots of 138501720
- 138501720 squared (1385017202) is 19182726442958400
- 138501720 cubed (1385017203) is 2656840606639220288448000
-
The
square root of 138501720 is 11768.6753715105 -
The
cube root of 138501720 is 517.3904269867
Scales and comparisons
How big is 138501720?- 138,501,720 seconds is equal to 4 years, 21 weeks, 42 minutes.
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To count from 1 to 138,501,720 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 138501720 cubic inches would be around 43.1 feet tall.
Recreational maths with 138501720
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