137432064
137,432,064 is an even composite number composed of five prime numbers multiplied together.
137432064 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 137432064:
210 × 3 × 72 × 11 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 83)See below for interesting mathematical facts about the number 137432064 from the Numbermatics database.
Names of 137432064
- Cardinal: 137432064 can be written as One hundred thirty-seven million, four hundred thirty-two thousand and sixty-four.
Scientific notation
- Scientific notation: 1.37432064 × 108
Factors of 137432064
Divisors of 137432064
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 64 66 77 83 84 88 96 98 112 128 132 147 154 166 168 176 192 196 224 231 249 256 264 294 308 332 336 352 384 392 448 462 498 512 528 539 581 588 616 664 672 704 768 784 896 913 924 996 1024 1056 1078 1162 1176 1232 1328 1344 1408 1536 1568 1617 1743 1792 1826 1848 1992 2112 2156 2324 2352 2464 2656 2688 2739 2816 3072 3136 3234 3486 3584 3652 3696 3984 4067 4224 4312 4648 4704 4928 5312 5376 5478 5632 6272 6391 6468 6972 7168 7304 7392 7968 8134 8448 8624 9296 9408 9856 10624 10752 10956 11264 12201 12544 12782 12936 13944 14608 14784 15936 16268 16896 17248 18592 18816 19173 19712 21248 21504 21912 24402 25088 25564 25872 27888 29216 29568 31872 32536 33792 34496 37184 37632 38346 39424 42496 43824 44737 48804 50176 51128 51744 55776 58432 59136 63744 65072 68992 74368 75264 76692 78848 84992 87648 89474 97608 102256 103488 111552 116864 118272 127488 130144 134211 137984 148736 150528 153384 175296 178948 195216 204512 206976 223104 233728 236544 254976 260288 268422 275968 297472 306768 350592 357896 390432 409024 413952 446208 467456 520576 536844 551936 594944 613536 701184 715792 780864 818048 827904 892416 934912 1041152 1073688 1227072 1402368 1431584 1561728 1636096 1655808 1784832 2082304 2147376 2454144 2804736 2863168 3123456 3272192 4164608 4294752 4908288 5726336 6246912 6544384 8589504 9816576 11452672 12493824 17179008 19633152 22905344 34358016 45810688 68716032 137432064
- Sum of all divisors σ(n): 470449728
- Sum of proper divisors (its aliquot sum) s(n): 333017664
- 137432064 is an abundant number, because the sum of its proper divisors (333017664) is greater than itself. Its abundance is 195585600
Bases of 137432064
- Binary: 10000011000100001100000000002
- Hexadecimal: 0x8310C00
- Base-36: 29TN9C
Squares and roots of 137432064
- 137432064 squared (1374320642) is 18887572215300096
- 137432064 cubed (1374320643) is 2595758033497744572678144
-
The
square root of 137432064 is 11723.1422408841 -
The
cube root of 137432064 is 516.0550388981
Scales and comparisons
How big is 137432064?- 137,432,064 seconds is equal to 4 years, 19 weeks, 1 day, 15 hours, 34 minutes, 24 seconds.
-
To count from 1 to 137,432,064 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 137432064 cubic inches would be around 43 feet tall.
Recreational maths with 137432064
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