138012707141629344
138,012,707,141,629,344 is an even composite number composed of five prime numbers multiplied together.
What does the number 138012707141629344 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
138012707141629344 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138012707141629344:
25 × 39 × 293 × 433 × 113
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 29 × 29 × 29 × 43 × 43 × 43 × 113)See below for interesting mathematical facts about the number 138012707141629344 from the Numbermatics database.
Names of 138012707141629344
- Cardinal: 138012707141629344 can be written as One hundred thirty-eight quadrillion, twelve trillion, seven hundred seven billion, one hundred forty-one million, six hundred twenty-nine thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.38012707141629344 × 1017
Factors of 138012707141629344
Divisors of 138012707141629344
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 43 48 54 58 72 81 86 87 96 108 113 116 129 144 162 172 174 216 226 232 243 258 261 288 324 339 344 348 387 432 452 464 486 516 522 648 678 688 696 729 774 783 841 864 904 928 972 1017 1032 1044 1161 1247 1296 1356 1376 1392 1458 1548 1566 1682 1808 1849 1944 2034 2064 2088 2187 2322 2349 2494 2523 2592 2712 2784 2916 3051 3096 3132 3277 3364 3483 3616 3698 3741 3888 4068 4128 4176 4374 4644 4698 4859 4988 5046 5424 5547 5832 6102 6192 6264 6554 6561 6728 6966 7047 7396 7482 7569 7776 8136 8352 8748 9153 9288 9396 9718 9831 9976 10092 10449 10848 11094 11223 11664 12204 12384 12528 13108 13122 13456 13932 14094 14577 14792 14964 15138 16272 16641 17496 18306 18576 18792 19436 19662 19683 19952 20184 20898 21141 22188 22446 22707 23328 24389 24408 25056 26216 26244 26912 27459 27864 28188 29154 29493 29584 29928 30276 31347 32544 33282 33669 34992 36163 36612 37152 37584 38872 39324 39366 39904 40368 41796 42282 43731 44376 44892 45414 48778 48816 49923 52432 52488 53621 54918 55728 56376 58308 58986 59168 59856 60552 62694 63423 66564 67338 68121 69984 72326 73167 73224 75168 77744 78648 78732 79507 80736 82377 83592 84564 87462 88479 88752 89784 90828 94041 95033 97556 97632 99846 101007 104864 104976 107242 108489 109836 111456 112752 116616 117972 119712 121104 125388 126846 131193 133128 134676 136242 140911 144652 146334 146448 149769 155488 157296 157464 159014 160863 164754 167184 169128 174924 176958 177504 179568 181656 188082 190066 190269 195112 199692 202014 204363 208937 209952 214484 216978 219501 219672 225504 233232 235944 238521 242208 247131 250776 253692 262386 265437 266256 269352 272484 281822 282123 285099 289304 292668 292896 299538 303021 314592 314928 318028 321726 325467 329508 334368 338256 349848 353916 359136 363312 376164 380132 380538 390224 393579 399384 404028 408726 417874 422733 428968 433956 439002 439344 449307 466464 471888 477042 482589 494262 501552 507384 524772 530874 532512 538704 544968 563644 564246 570198 570807 578608 585336 599076 606042 613089 626811 629856 636056 643452 650934 658503 659016 676512 699696 707832 715563 726624 741393 752328 760264 761076 780448 787158 796311 798768 808056 817452 835748 845466 846369 855297 857936 867912 878004 878688 898614 909063 943776 954084 965178 976401 988524 1003104 1014768 1048727 1049544 1061748 1077408 1089936 1127288 1128492 1140396 1141614 1157216 1170672 1180737 1198152 1212084 1226178 1253622 1268199 1272112 1286904 1301868 1317006 1318032 1347921 1399392 1415664 1431126 1447767 1482786 1504656 1520528 1522152 1555009 1574316 1592622 1597536 1616112 1634904 1671496 1690932 1692738 1710594 1715872 1735824 1756008 1797228 1818126 1839267 1880433 1908168 1930356 1952802 1975509 1977048 2029536 2097454 2099088 2123496 2146689 2179872 2224179 2254576 2256984 2280792 2283228 2305703 2341344 2361474 2388933 2396304 2424168 2452356 2507244 2536398 2544224 2565891 2573808 2603736 2634012 2636064 2695842 2727189 2755957 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1908203234544 1972060858791 2025993557664 2049551622288 2073383617896 2176067154528 2201370260976 2279242752372 2305745575074 2332556570133 2339753621904 2366960059368 2448075548844 2476541543598 2513068705008 2573855525664 2629414478388 2632222824642 2764511490528 2827202293134 2829404796048 3038990336496 3074327433432 3110075426844 3155946745824 3264100731792 3302055391464 3418864128558 3458618362611 3505885971184 3509630432856 3550440089052 3672113323266 3714812315397 3769603057512 3816406469088 3944121717582 4099103244576 4146767235792 4240803439701 4402740521952 4558485504744 4611491150148 4665113140266 4679507243808 4733920118736 4896151097688 4953083087196 5026137410016 5128296192837 5258828956776 5264445649284 5508169984899 5654404586268 5658809592096 5916182576373 6077980672992 6148654866864 6220150853688 6528201463584 6604110782928 6837728257116 6917236725222 7011771942368 7019260865712 7100880178104 7344226646532 7429624630794 7539206115024 7888243435164 8293534471584 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1604798920251504 1703860581995424 1916843154744852 2379529433476368 2555790872993136 2875264732117278 3209597840503008 3833686309489704 4312897098175917 4759058866952736 5111581745986272 5750529464234556 7667372618979408 8625794196351834 11501058928469112 15334745237958816 17251588392703668 23002117856938224 34503176785407336 46004235713876448 69006353570814672 138012707141629344
- Sum of all divisors σ(n): 435991827392352000
- Sum of proper divisors (its aliquot sum) s(n): 297979120250722656
- 138012707141629344 is an abundant number, because the sum of its proper divisors (297979120250722656) is greater than itself. Its abundance is 159966413109093312
Bases of 138012707141629344
- Binary: 1111010100101000111010011011011111010101010110101101000002
- Hexadecimal: 0x1EA51D36FAAB5A0
- Base-36: 11QXF6DTMI00
Squares and roots of 138012707141629344
- 138012707141629344 squared (1380127071416293442) is 19047507332561147332207287081870336
- 138012707141629344 cubed (1380127071416293443) is 2628798051266799154689581111842923835784521980739584
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The
square root of 138012707141629344 is 371500615.2641329665 -
The
cube root of 138012707141629344 is 516780.7861145067
Scales and comparisons
How big is 138012707141629344?- 138,012,707,141,629,344 seconds is equal to 4,388,377,185 years, 40 weeks, 17 hours, 2 minutes, 24 seconds.
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To count from 1 to 138,012,707,141,629,344 would take you about thirteen billion, one hundred sixty-five million, one hundred thirty-one thousand, five hundred fifty-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 138012707141629344 cubic inches would be around 43065.1 feet tall.
Recreational maths with 138012707141629344
- 138012707141629344 backwards is 443926141707210831
- The number of decimal digits it has is: 18
- The sum of 138012707141629344's digits is 63
- More coming soon!
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The information we have on file for 138012707141629344 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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