138494720
138,494,720 is an even composite number composed of six prime numbers multiplied together.
138494720 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 138494720:
28 × 5 × 7 × 13 × 29 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 29 × 41)See below for interesting mathematical facts about the number 138494720 from the Numbermatics database.
Names of 138494720
- Cardinal: 138494720 can be written as One hundred thirty-eight million, four hundred ninety-four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3849472 × 108
Factors of 138494720
Divisors of 138494720
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 29 32 35 40 41 52 56 58 64 65 70 80 82 91 104 112 116 128 130 140 145 160 164 182 203 205 208 224 232 256 260 280 287 290 320 328 364 377 406 410 416 448 455 464 520 533 560 574 580 640 656 728 754 812 820 832 896 910 928 1015 1040 1066 1120 1148 1160 1189 1280 1312 1435 1456 1508 1624 1640 1664 1792 1820 1856 1885 2030 2080 2132 2240 2296 2320 2378 2624 2639 2665 2870 2912 3016 3248 3280 3328 3640 3712 3731 3770 4060 4160 4264 4480 4592 4640 4756 5248 5278 5330 5740 5824 5945 6032 6496 6560 7280 7424 7462 7540 8120 8320 8323 8528 8960 9184 9280 9512 10496 10556 10660 11480 11648 11890 12064 12992 13120 13195 14560 14924 15080 15457 16240 16640 16646 17056 18368 18560 18655 19024 21112 21320 22960 23296 23780 24128 25984 26240 26390 29120 29848 30160 30914 32480 33292 34112 36736 37120 37310 38048 41615 42224 42640 45920 47560 48256 51968 52480 52780 58240 59696 60320 61828 64960 66584 68224 73472 74620 76096 77285 83230 84448 85280 91840 95120 96512 105560 108199 116480 119392 120640 123656 129920 133168 136448 149240 152192 154570 166460 168896 170560 183680 190240 211120 216398 238784 241280 247312 259840 266336 298480 304384 309140 332920 337792 341120 367360 380480 422240 432796 477568 482560 494624 532672 540995 596960 618280 665840 675584 682240 760960 844480 865592 955136 989248 1065344 1081990 1193920 1236560 1331680 1521920 1688960 1731184 1978496 2130688 2163980 2387840 2473120 2663360 3377920 3462368 3956992 4327960 4775680 4946240 5326720 6924736 8655920 9892480 10653440 13849472 17311840 19784960 27698944 34623680 69247360 138494720
- Sum of all divisors σ(n): 432673920
- Sum of proper divisors (its aliquot sum) s(n): 294179200
- 138494720 is an abundant number, because the sum of its proper divisors (294179200) is greater than itself. Its abundance is 155684480
Bases of 138494720
- Binary: 10000100000101000011000000002
- Hexadecimal: 0x8414300
- Base-36: 2AGF7K
Squares and roots of 138494720
- 138494720 squared (1384947202) is 19180787467878400
- 138494720 cubed (1384947203) is 2656437789743328002048000
-
The
square root of 138494720 is 11768.3779680975 -
The
cube root of 138494720 is 517.3817103825
Scales and comparisons
How big is 138494720?- 138,494,720 seconds is equal to 4 years, 20 weeks, 6 days, 22 hours, 45 minutes, 20 seconds.
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To count from 1 to 138,494,720 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 138494720 cubic inches would be around 43.1 feet tall.
Recreational maths with 138494720
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