138722893650432
138,722,893,650,432 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138722893650432 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
138722893650432 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138722893650432:
29 × 34 × 7 × 13 × 43 × 53 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 43 × 53 × 127 × 127)See below for interesting mathematical facts about the number 138722893650432 from the Numbermatics database.
Names of 138722893650432
- Cardinal: 138722893650432 can be written as One hundred thirty-eight trillion, seven hundred twenty-two billion, eight hundred ninety-three million, six hundred fifty thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.38722893650432 × 1014
Factors of 138722893650432
Divisors of 138722893650432
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 43 48 52 53 54 56 63 64 72 78 81 84 86 91 96 104 106 108 112 117 126 127 128 129 144 156 159 162 168 172 182 189 192 208 212 216 224 234 252 254 256 258 273 288 301 312 318 324 336 344 351 364 371 378 381 384 387 416 424 432 448 468 477 504 508 512 516 546 559 567 576 602 624 636 648 672 688 689 702 728 742 756 762 768 774 819 832 848 864 889 896 903 936 954 1008 1016 1032 1053 1092 1113 1118 1134 1143 1152 1161 1204 1248 1272 1296 1344 1376 1378 1404 1431 1456 1484 1512 1524 1536 1548 1638 1651 1664 1677 1696 1728 1778 1792 1806 1872 1908 2016 2032 2064 2067 2106 2184 2226 2236 2268 2279 2286 2304 2322 2408 2457 2496 2544 2592 2667 2688 2709 2752 2756 2808 2862 2912 2968 3024 3048 3096 3276 3302 3328 3339 3354 3392 3429 3456 3483 3556 3584 3612 3744 3816 3913 4032 4064 4128 4134 4212 4293 4368 4452 4472 4536 4558 4572 4608 4644 4816 4823 4914 4953 4992 5031 5088 5184 5334 5376 5418 5461 5504 5512 5616 5724 5824 5936 6048 6096 6192 6201 6552 6604 6656 6678 6708 6731 6784 6837 6858 6912 6966 7112 7224 7371 7488 7632 7826 8001 8064 8127 8128 8256 8268 8424 8586 8736 8904 8944 9072 9116 9144 9288 9632 9646 9828 9906 9984 10017 10062 10176 10287 10368 10668 10752 10836 10922 11008 11024 11232 11448 11557 11648 11739 11872 12096 12192 12384 12402 13104 13208 13356 13416 13462 13568 13674 13716 13824 13932 14224 14448 14469 14742 14859 14976 15093 15264 15652 15953 16002 16128 16129 16254 16256 16383 16512 16536 16848 17172 17472 17808 17888 18144 18232 18288 18576 18603 19264 19292 19656 19812 19968 20034 20124 20193 20352 20511 20574 20736 21336 21672 21844 22016 22048 22464 22896 23114 23296 23478 23744 24003 24192 24381 24384 24768 24804 26208 26416 26712 26832 26924 27136 27348 27432 27864 28448 28896 28938 29484 29627 29718 29952 30051 30186 30528 31304 31906 32004 32256 32258 32508 32512 32766 33024 33072 33696 34344 34671 34944 35217 35616 35776 36288 36464 36576 37152 37206 38227 38528 38584 39312 39624 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1185665757696 1238597264736 1284471237504 1308706543872 1333873977408 1445030142192 1524427402752 1613056902912 1651463019648 1712628316672 1778498636544 1926706856256 2167545213288 2201950692864 2477194529472 2568942475008 2617413087744 2667747954816 2890060284384 3226113805824 3302926039296 3556997273088 3853413712512 4335090426576 4954389058944 5137884950016 5335495909632 5780120568768 6605852078592 7706827425024 8670180853152 9908778117888 10670991819264 11560241137536 15413654850048 17340361706304 19817556235776 23120482275072 34680723412608 46240964550144 69361446825216 138722893650432
- Sum of all divisors σ(n): 535507883551872
- Sum of proper divisors (its aliquot sum) s(n): 396784989901440
- 138722893650432 is an abundant number, because the sum of its proper divisors (396784989901440) is greater than itself. Its abundance is 258062096251008
Bases of 138722893650432
- Binary: 111111000101010111100001100110001011010000000002
- Hexadecimal: 0x7E2AF0CC5A00
- Base-36: 1D68F15S00
Squares and roots of 138722893650432
- 138722893650432 squared (1387228936504322) is 19244041222749066902613786624
- 138722893650432 cubed (1387228936504323) is 2669589083947948194376254825766873693421568
-
The
square root of 138722893650432 is 11778068.3327289285 -
The
cube root of 138722893650432 is 51766.5687757451
Scales and comparisons
How big is 138722893650432?- 138,722,893,650,432 seconds is equal to 4,410,958 years, 47 weeks, 5 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,722,893,650,432 would take you about eleven million, twenty-seven thousand, three hundred ninety-seven 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 138722893650432 cubic inches would be around 4313.9 feet tall.
Recreational maths with 138722893650432
- 138722893650432 backwards is 234056398227831
- 138722893650432 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138722893650432's digits is 63
- More coming soon!
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"Number 138722893650432 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 138722893650432 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138722893650432/
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The information we have on file for 138722893650432 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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