138269814592
138,269,814,592 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138269814592 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 448 divisors.
138269814592 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138269814592:
26 × 7 × 13 × 37 × 61 × 67 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 37 × 61 × 67 × 157)See below for interesting mathematical facts about the number 138269814592 from the Numbermatics database.
Names of 138269814592
- Cardinal: 138269814592 can be written as One hundred thirty-eight billion, two hundred sixty-nine million, eight hundred fourteen thousand, five hundred ninety-two.
Scientific notation
- Scientific notation: 1.38269814592 × 1011
Factors of 138269814592
Divisors of 138269814592
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 37 52 56 61 64 67 74 91 104 112 122 134 148 157 182 208 224 244 259 268 296 314 364 416 427 448 469 481 488 518 536 592 628 728 793 832 854 871 938 962 976 1036 1072 1099 1184 1256 1456 1586 1708 1742 1876 1924 1952 2041 2072 2144 2198 2257 2368 2479 2512 2912 3172 3367 3416 3484 3752 3848 3904 4082 4087 4144 4288 4396 4514 4958 5024 5551 5809 5824 6097 6344 6734 6832 6968 7504 7696 8164 8174 8288 8792 9028 9577 9916 10048 10519 11102 11618 12194 12688 13468 13664 13936 14287 15008 15392 15799 16328 16348 16576 17353 17584 18056 19154 19832 21038 22204 23236 24388 25376 26936 27328 27872 28574 28609 29341 30016 30784 31598 32227 32656 32696 34706 35168 36112 38308 39664 40663 42076 44408 46472 48776 50752 53131 53872 55744 57148 57218 58682 63196 64454 65312 65392 67039 69412 70336 72224 73633 75517 76616 79328 81326 84152 88816 92944 97552 106262 107744 114296 114436 117364 124501 126392 128908 130624 130784 134078 136747 138824 144448 147266 151034 151219 153232 158656 162652 168304 177632 185888 195104 205387 212524 215488 225589 228592 228872 234728 249002 252784 257816 261568 268156 273494 277648 294532 302068 302438 306464 325304 336608 354349 355264 371776 371917 389203 390208 410774 425048 451178 457184 457744 469456 498004 505568 515632 528619 536312 546988 555296 589064 604136 604876 612928 641659 650608 673216 708698 743834 778406 821548 850096 871507 902356 914368 915488 938912 957229 996008 1011136 1031264 1057238 1058533 1072624 1093976 1110592 1178128 1208272 1209752 1283318 1301216 1417396 1487668 1556812 1643096 1700192 1743014 1804712 1830976 1877824 1914458 1965847 1992016 2062528 2114476 2117066 2145248 2187952 2356256 2416544 2419504 2480443 2566636 2602432 2724421 2834792 2975336 3113624 3286192 3400384 3486028 3609424 3828916 3931694 3984032 4228952 4234132 4290496 4375904 4491613 4606537 4712512 4833088 4839008 4960886 5059639 5133272 5448842 5669584 5950672 6227248 6572384 6972056 7218848 7657832 7863388 7968064 8341567 8457904 8468264 8751808 8983226 9213074 9678016 9921772 10119278 10266544 10897684 11339168 11901344 12454496 13144768 13760929 13944112 14437696 15315664 15726776 16683134 16915808 16936528 17966452 18426148 19843544 20238556 20533088 21795368 22678336 23741383 23802688 24908992 27521858 27888224 30631328 31453552 32245759 33366268 33831616 33873056 35417473 35932904 36852296 39687088 40477112 41066176 43590736 47482766 55043716 55776448 58390969 61262656 62907104 64491518 66732536 67746112 70834946 71865808 73704592 79374176 80954224 87181472 94965532 110087432 116781938 125814208 128983036 133465072 141669892 143731616 147409184 158748352 161908448 166189681 174362944 189931064 220174864 233563876 257966072 266930144 283339784 287463232 294818368 308637979 323816896 332379362 379862128 440349728 467127752 515932144 533860288 566679568 617275958 664758724 759724256 880699456 934255504 1031864288 1133359136 1234551916 1329517448 1519448512 1868511008 2063728576 2160465853 2266718272 2469103832 2659034896 3737022016 4320931706 4938207664 5318069792 8641863412 9876415328 10636139584 17283726824 19752830656 34567453648 69134907296 138269814592
- Sum of all divisors σ(n): 360050177536
- Sum of proper divisors (its aliquot sum) s(n): 221780362944
- 138269814592 is an abundant number, because the sum of its proper divisors (221780362944) is greater than itself. Its abundance is 83510548352
Bases of 138269814592
- Binary: 100000001100011000010111101111010000002
- Hexadecimal: 0x203185EF40
- Base-36: 1RIQ9ZR4
Squares and roots of 138269814592
- 138269814592 squared (1382698145922) is 19118541627306056126464
- 138269814592 cubed (1382698145923) is 2643517206077042345044922984562688
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The
square root of 138269814592 is 371846.4933167987 -
The
cube root of 138269814592 is 5171.0149515281
Scales and comparisons
How big is 138269814592?- 138,269,814,592 seconds is equal to 4,396 years, 28 weeks, 5 days, 1 hour, 49 minutes, 52 seconds.
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To count from 1 to 138,269,814,592 would take you about eight thousand, seven hundred ninety-three 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 138269814592 cubic inches would be around 430.9 feet tall.
Recreational maths with 138269814592
- 138269814592 backwards is 295418962831
- The number of decimal digits it has is: 12
- The sum of 138269814592's digits is 58
- More coming soon!
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