138450720
138,450,720 is an even composite number composed of six prime numbers multiplied together.
138450720 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 138450720:
25 × 3 × 5 × 17 × 192 × 47
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 19 × 19 × 47)See below for interesting mathematical facts about the number 138450720 from the Numbermatics database.
Names of 138450720
- Cardinal: 138450720 can be written as One hundred thirty-eight million, four hundred fifty thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3845072 × 108
Factors of 138450720
Divisors of 138450720
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 32 34 38 40 47 48 51 57 60 68 76 80 85 94 95 96 102 114 120 136 141 152 160 170 188 190 204 228 235 240 255 272 282 285 304 323 340 361 376 380 408 456 470 480 510 544 564 570 608 646 680 705 722 752 760 799 816 893 912 940 969 1020 1083 1128 1140 1292 1360 1410 1444 1504 1520 1598 1615 1632 1786 1805 1824 1880 1938 2040 2166 2256 2280 2397 2584 2679 2720 2820 2888 3040 3196 3230 3572 3610 3760 3876 3995 4080 4332 4465 4512 4560 4794 4845 5168 5358 5415 5640 5776 6137 6392 6460 7144 7220 7520 7752 7990 8160 8664 8930 9120 9588 9690 10336 10716 10830 11280 11552 11985 12274 12784 12920 13395 14288 14440 15181 15504 15980 16967 17328 17860 18411 19176 19380 21432 21660 22560 23970 24548 25568 25840 26790 28576 28880 30362 30685 31008 31960 33934 34656 35720 36822 38352 38760 42864 43320 45543 47940 49096 50901 51680 53580 57760 60724 61370 63920 67868 71440 73644 75905 76704 77520 84835 85728 86640 91086 92055 95880 98192 101802 107160 121448 122740 127840 135736 142880 147288 151810 155040 169670 173280 182172 184110 191760 196384 203604 214320 227715 242896 245480 254505 271472 288439 294576 303620 339340 364344 368220 383520 407208 428640 455430 485792 490960 509010 542944 576878 589152 607240 678680 728688 736440 814416 865317 910860 981920 1018020 1153756 1214480 1357360 1442195 1457376 1472880 1628832 1730634 1821720 2036040 2307512 2428960 2714720 2884390 2945760 3461268 3643440 4072080 4326585 4615024 5768780 6922536 7286880 8144160 8653170 9230048 11537560 13845072 17306340 23075120 27690144 34612680 46150240 69225360 138450720
- Sum of all divisors σ(n): 497726208
- Sum of proper divisors (its aliquot sum) s(n): 359275488
- 138450720 is an abundant number, because the sum of its proper divisors (359275488) is greater than itself. Its abundance is 220824768
Bases of 138450720
- Binary: 10000100000010010111001000002
- Hexadecimal: 0x8409720
- Base-36: 2AFH9C
Squares and roots of 138450720
- 138450720 squared (1384507202) is 19168601868518400
- 138450720 cubed (1384507203) is 2653906730089717813248000
-
The
square root of 138450720 is 11766.5084030907 -
The
cube root of 138450720 is 517.3269135727
Scales and comparisons
How big is 138450720?- 138,450,720 seconds is equal to 4 years, 20 weeks, 6 days, 10 hours, 32 minutes.
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To count from 1 to 138,450,720 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 138450720 cubic inches would be around 43.1 feet tall.
Recreational maths with 138450720
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