138021842086128
138,021,842,086,128 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138021842086128 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1680 divisors.
138021842086128 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138021842086128:
24 × 36 × 72 × 11 × 13 × 409 × 4129
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 13 × 409 × 4129)See below for interesting mathematical facts about the number 138021842086128 from the Numbermatics database.
Names of 138021842086128
- Cardinal: 138021842086128 can be written as One hundred thirty-eight trillion, twenty-one billion, eight hundred forty-two million, eighty-six thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38021842086128 × 1014
Factors of 138021842086128
Divisors of 138021842086128
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 33 36 39 42 44 48 49 52 54 56 63 66 72 77 78 81 84 88 91 98 99 104 108 112 117 126 132 143 144 147 154 156 162 168 176 182 189 196 198 208 216 231 234 243 252 264 273 286 294 297 308 312 324 336 351 364 378 392 396 409 429 432 441 462 468 486 504 528 539 546 567 572 588 594 616 624 637 648 693 702 728 729 756 784 792 818 819 858 882 891 924 936 972 1001 1008 1053 1078 1092 1134 1144 1176 1188 1227 1232 1274 1287 1296 1323 1386 1404 1456 1458 1512 1584 1617 1636 1638 1701 1716 1764 1782 1848 1872 1911 1944 2002 2079 2106 2156 2184 2268 2288 2352 2376 2454 2457 2548 2574 2646 2673 2772 2808 2863 2916 3003 3024 3159 3234 3272 3276 3402 3432 3528 3564 3681 3696 3822 3861 3888 3969 4004 4129 4158 4212 4312 4368 4499 4536 4752 4851 4908 4914 5096 5103 5148 5292 5317 5346 5544 5616 5726 5733 5832 6006 6237 6318 6468 6544 6552 6804 6864 7007 7056 7128 7362 7371 7644 7722 7938 8008 8019 8258 8316 8424 8589 8624 8998 9009 9072 9477 9702 9816 9828 10192 10206 10296 10584 10634 10692 11043 11088 11452 11466 11583 11664 11907 12012 12387 12474 12636 12936 13104 13497 13608 14014 14256 14553 14724 14742 15288 15444 15876 15951 16016 16038 16516 16632 16848 17178 17199 17996 18018 18711 18954 19404 19632 19656 20041 20412 20592 21021 21168 21268 21384 22086 22113 22904 22932 23166 23814 24024 24774 24948 25272 25767 25872 26994 27027 27216 28028 28903 29106 29448 29484 30576 30888 31493 31752 31902 32076 33032 33129 33264 34356 34398 34749 35721 35992 36036 37161 37219 37422 37908 38808 39312 40082 40491 40824 42042 42536 42768 43659 44172 44226 45419 45808 45864 46332 47628 47853 48048 49548 49896 50544 51534 51597 53677 53988 54054 56056 56133 57806 58212 58487 58896 58968 60123 61776 62986 63063 63504 63804 64152 66064 66258 66339 68712 68796 69498 71442 71984 72072 74322 74438 74844 75816 77301 77616 80164 80982 81081 81648 84084 85072 86709 87318 88344 88452 90838 91728 92664 94479 95256 95706 99096 99387 99792 103068 103194 104247 107354 107976 108108 111483 111657 112112 112266 115612 116424 116974 117936 120246 121473 125972 126126 127608 128304 130977 132516 132678 136257 137424 137592 138996 142884 143559 144144 148644 148876 149688 151632 154602 154791 160328 161031 161964 162162 168168 173418 174636 175461 176688 176904 180369 181676 185328 188958 189189 190512 191412 198192 198774 202321 206136 206388 208494 214708 215952 216216 220451 222966 223314 224532 231224 231903 232848 233948 240492 242946 243243 251944 252252 255216 260127 260533 261954 265032 265356 272514 275184 277992 283437 285768 287118 297288 297752 298161 299376 309204 309582 317933 320656 322062 323928 324324 334449 334971 336336 346836 349272 350922 353808 360738 363352 364419 375739 377916 378378 382824 392931 397548 404642 408771 409409 412272 412776 416988 429416 430677 432432 440902 445932 446628 449064 462448 463806 464373 467896 480984 483093 485892 486486 503888 504504 520254 521066 523908 526383 530064 530712 541107 545028 555984 566874 567567 571536 574236 590447 594576 595504 596322 606963 618408 619164 635866 644124 647856 648648 661353 668898 669942 693672 695709 698544 701844 721476 726704 728838 729729 751478 755832 756756 765648 780381 781599 785862 795096 809284 817542 818818 825552 833976 850311 858832 861354 881804 891864 893256 898128 927612 928746 935792 953799 961968 966186 971784 972972 1003347 1004913 1009008 1040508 1042132 1047816 1052766 1061424 1082214 1090056 1093257 1127217 1133748 1135134 1148472 1180894 1192644 1213926 1226313 1228227 1236816 1238328 1271732 1288248 1292031 1297296 1322706 1337796 1339884 1387344 1391418 1403688 1442952 1449279 1457676 1459458 1502956 1511664 1513512 1560762 1563198 1571724 1579149 1590192 1618568 1623321 1635084 1637636 1667952 1688761 1700622 1702701 1722708 1763608 1771341 1783728 1786512 1820889 1855224 1857492 1907598 1932372 1943568 1945944 1984059 2006694 2009826 2081016 2084264 2087127 2095632 2105532 2164428 2180112 2186514 2225531 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2464675751538 2555960038632 2654266193964 2816772287472 2875455043461 3136860047412 3286234335384 3539021591952 3833940057948 4182480063216 4929351503076 5111920077264 5308532387928 5750910086922 6273720094824 6572468670768 7667880115896 8626365130383 9858703006152 10617064775856 11501820173844 12547440189648 15335760231792 17252730260766 19717406012304 23003640347688 34505460521532 46007280695376 69010921043064 138021842086128
- Sum of all divisors σ(n): 549414227426400
- Sum of proper divisors (its aliquot sum) s(n): 411392385340272
- 138021842086128 is an abundant number, because the sum of its proper divisors (411392385340272) is greater than itself. Its abundance is 273370543254144
Bases of 138021842086128
- Binary: 111110110000111101101101101111001101000111100002
- Hexadecimal: 0x7D87B6DE68F0
- Base-36: 1CXACX5R00
Squares and roots of 138021842086128
- 138021842086128 squared (1380218420861282) is 19050028892848054422970032384
- 138021842086128 cubed (1380218420861283) is 2629320079584849986057788211780894277169152
-
The
square root of 138021842086128 is 11748269.7486109843 -
The
cube root of 138021842086128 is 51679.2187624183
Scales and comparisons
How big is 138021842086128?- 138,021,842,086,128 seconds is equal to 4,388,667 years, 33 weeks, 5 days, 3 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,021,842,086,128 would take you about ten million, nine hundred seventy-one thousand, six hundred sixty-nine 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 138021842086128 cubic inches would be around 4306.6 feet tall.
Recreational maths with 138021842086128
- 138021842086128 backwards is 821680248120831
- 138021842086128 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138021842086128's digits is 54
- More coming soon!
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MLA style:
"Number 138021842086128 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 138021842086128 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138021842086128/
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The information we have on file for 138021842086128 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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