138180249575424
138,180,249,575,424 is an even composite number composed of six prime numbers multiplied together.
What does the number 138180249575424 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2352 divisors.
138180249575424 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred fifty-two divisors.
Prime factorization of 138180249575424:
213 × 36 × 72 × 19 × 29 × 857
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 19 × 29 × 857)See below for interesting mathematical facts about the number 138180249575424 from the Numbermatics database.
Names of 138180249575424
- Cardinal: 138180249575424 can be written as One hundred thirty-eight trillion, one hundred eighty billion, two hundred forty-nine million, five hundred seventy-five thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.38180249575424 × 1014
Factors of 138180249575424
Divisors of 138180249575424
- Number of divisors d(n): 2352
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 29 32 36 38 42 48 49 54 56 57 58 63 64 72 76 81 84 87 96 98 108 112 114 116 126 128 133 144 147 152 162 168 171 174 189 192 196 203 216 224 228 232 243 252 256 261 266 288 294 304 324 336 342 348 378 384 392 399 406 432 441 448 456 464 486 504 512 513 522 532 551 567 576 588 608 609 648 672 684 696 729 756 768 783 784 798 812 857 864 882 896 912 928 931 972 1008 1024 1026 1044 1064 1102 1134 1152 1176 1197 1216 1218 1296 1323 1344 1368 1392 1421 1458 1512 1536 1539 1566 1568 1596 1624 1653 1701 1714 1728 1764 1792 1824 1827 1856 1862 1944 2016 2048 2052 2088 2128 2204 2268 2304 2349 2352 2394 2432 2436 2571 2592 2646 2688 2736 2784 2793 2842 2916 3024 3072 3078 3132 3136 3192 3248 3306 3402 3428 3456 3528 3584 3591 3648 3654 3712 3724 3857 3888 3969 4032 4096 4104 4176 4256 4263 4408 4536 4608 4617 4698 4704 4788 4864 4872 4959 5103 5142 5184 5292 5376 5472 5481 5568 5586 5684 5832 5999 6048 6144 6156 6264 6272 6384 6496 6612 6804 6856 6912 7047 7056 7168 7182 7296 7308 7424 7448 7713 7714 7776 7938 8064 8192 8208 8352 8379 8512 8526 8816 9072 9216 9234 9396 9408 9576 9728 9744 9918 10206 10284 10368 10584 10752 10773 10944 10962 11136 11172 11368 11571 11664 11907 11998 12096 12288 12312 12528 12544 12768 12789 12992 13224 13608 13712 13824 13851 14094 14112 14336 14364 14592 14616 14848 14877 14896 15426 15428 15552 15876 16128 16283 16416 16443 16704 16758 17024 17052 17632 17997 18144 18432 18468 18792 18816 19152 19456 19488 19836 20412 20568 20736 21141 21168 21504 21546 21888 21924 22272 22344 22736 23139 23142 23328 23814 23996 24192 24576 24624 24853 25056 25088 25137 25536 25578 25984 26448 26999 27216 27424 27648 27702 28188 28224 28672 28728 29184 29232 29696 29754 29792 30852 30856 31104 31752 32256 32319 32566 32832 32886 33408 33516 34048 34104 34713 35264 35721 35994 36288 36864 36936 37584 37632 38304 38367 38912 38976 39672 40824 41136 41472 41993 42282 42336 43008 43092 43776 43848 44544 44631 44688 45472 46278 46284 46656 47628 47992 48384 48849 49248 49329 49706 50112 50176 50274 51072 51156 51968 52896 53991 53998 54432 54848 55296 55404 56376 56448 57344 57456 58368 58464 59392 59508 59584 61704 61712 62208 63504 64512 64638 65132 65664 65772 66816 67032 68096 68208 69417 69426 70528 71442 71988 72576 73728 73872 74559 75168 75264 75411 76608 76734 77824 77952 79344 80997 81648 82272 82944 83986 84564 84672 86016 86184 87552 87696 89088 89262 89376 90944 92556 92568 93312 95256 95984 96768 96957 97698 98496 98658 99412 100224 100352 100548 102144 102312 103936 104139 105792 107982 107996 108864 109696 110592 110808 112752 112896 113981 114912 115101 116736 116928 118784 119016 119168 123408 123424 124416 125979 127008 129024 129276 130264 131328 131544 133632 133893 134064 136192 136416 138834 138852 141056 142884 143976 145152 146547 147744 147987 149118 150336 150528 150822 153216 153468 155648 155904 158688 161973 161994 163296 164544 165888 167972 169128 169344 172032 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7272644714496 7676680531968 8636265598464 9870017826816 11515020797952 15353361063936 17272531196928 19740035653632 23030041595904 34545062393856 46060083191808 69090124787712 138180249575424
- Sum of all divisors σ(n): 525444665288400
- Sum of proper divisors (its aliquot sum) s(n): 387264415712976
- 138180249575424 is an abundant number, because the sum of its proper divisors (387264415712976) is greater than itself. Its abundance is 249084166137552
Bases of 138180249575424
- Binary: 111110110101100100110001011000011100000000000002
- Hexadecimal: 0x7DAC98B0E000
- Base-36: 1CZB4OW000
Squares and roots of 138180249575424
- 138180249575424 squared (1381802495754242) is 19093781372726464532264779776
- 138180249575424 cubed (1381802495754243) is 2638383475421924730577768930391772861825024
-
The
square root of 138180249575424 is 11755009.5523323161 -
The
cube root of 138180249575424 is 51698.9819277599
Scales and comparisons
How big is 138180249575424?- 138,180,249,575,424 seconds is equal to 4,393,704 years, 26 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
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To count from 1 to 138,180,249,575,424 would take you about ten million, nine hundred eighty-four thousand, two hundred sixty-one 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 138180249575424 cubic inches would be around 4308.2 feet tall.
Recreational maths with 138180249575424
- 138180249575424 backwards is 424575942081831
- 138180249575424 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138180249575424's digits is 63
- More coming soon!
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The information we have on file for 138180249575424 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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