138874137129728
138,874,137,129,728 is an even composite number composed of seven prime numbers multiplied together.
138874137129728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138874137129728:
28 × 72 × 113 × 13 × 17 × 61 × 617
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 11 × 11 × 13 × 17 × 61 × 617)See below for interesting mathematical facts about the number 138874137129728 from the Numbermatics database.
Names of 138874137129728
- Cardinal: 138874137129728 can be written as One hundred thirty-eight trillion, eight hundred seventy-four billion, one hundred thirty-seven million, one hundred twenty-nine thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38874137129728 × 1014
Factors of 138874137129728
Divisors of 138874137129728
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 17 22 26 28 32 34 44 49 52 56 61 64 68 77 88 91 98 104 112 119 121 122 128 136 143 154 176 182 187 196 208 221 224 238 242 244 256 272 286 308 352 364 374 392 416 427 442 448 476 484 488 539 544 572 616 617 637 671 704 728 748 784 793 832 833 847 854 884 896 952 968 976 1001 1037 1078 1088 1144 1232 1234 1274 1309 1331 1342 1408 1456 1496 1547 1568 1573 1586 1664 1666 1694 1708 1768 1792 1904 1936 1952 2002 2057 2074 2156 2176 2288 2431 2464 2468 2548 2618 2662 2684 2816 2912 2989 2992 3094 3136 3146 3172 3328 3332 3388 3416 3536 3808 3872 3904 4004 4114 4148 4312 4319 4352 4576 4697 4862 4928 4936 5096 5236 5324 5368 5551 5824 5929 5978 5984 6188 6272 6292 6344 6664 6776 6787 6832 7007 7072 7259 7381 7616 7744 7808 8008 8021 8228 8296 8624 8638 8723 9152 9163 9317 9394 9724 9856 9872 10192 10472 10489 10648 10736 10829 11011 11102 11407 11648 11858 11956 11968 12376 12544 12584 12688 13328 13481 13552 13574 13664 14014 14144 14399 14518 14762 15232 15488 15616 16016 16042 16456 16592 17017 17248 17276 17303 17446 18304 18326 18634 18788 19448 19712 19744 20384 20944 20978 21296 21472 21658 22022 22204 22627 22814 23296 23716 23912 23936 24752 25168 25376 26656 26741 26962 27104 27148 27328 28028 28288 28798 29036 29524 30233 30464 30976 32032 32084 32879 32912 33184 34034 34496 34552 34606 34892 36608 36652 37268 37576 37637 38857 38896 39488 40768 41888 41956 42592 42944 43316 44044 44408 45254 45628 47432 47509 47824 47872 49504 50336 50752 50813 51667 53312 53482 53924 54208 54296 54656 56056 56147 56576 57596 58072 59048 60466 61061 64064 64168 65219 65758 65824 66368 68068 68992 69104 69212 69784 73304 73423 74536 74657 75152 75274 77077 77714 77792 78976 79849 81191 81536 83776 83912 85184 85888 86632 88088 88231 88816 90508 91256 94367 94864 95018 95648 95953 99008 100672 100793 101504 101626 103334 106624 106964 107848 108416 108592 109312 112112 112294 115192 115379 116144 118096 119119 120932 121121 122122 125477 128128 128336 130438 131516 131648 132736 136136 136357 137984 138208 138424 139568 146608 146846 148291 149072 149314 150304 150548 154154 155428 155584 157952 158389 159698 162382 163072 167552 167824 170368 171776 173264 176176 176462 177632 181016 182512 187187 188734 189728 190036 191296 191906 198016 201344 201586 203008 203252 206668 213248 213928 215696 216832 217184 224224 224588 230384 230758 232288 236192 238238 241864 242242 244244 250954 256256 256672 260876 263032 263296 263459 265472 272272 272714 276416 276848 279136 293216 293692 294151 296582 298144 298628 300608 301096 308308 310856 311168 316778 319396 324764 332563 335104 335648 340736 346528 352352 352924 355264 361669 362032 365024 374374 377468 379456 380072 382592 383812 393029 396032 402688 403172 406504 413336 414007 427427 427856 431392 434368 448448 449176 460768 461516 464576 472384 476476 483728 484484 488488 489281 501908 513344 513961 521752 522599 526064 526592 526918 544544 545428 552832 553696 558272 558943 568337 586432 587384 588302 593164 596288 597256 601216 602192 616616 617617 621712 622336 633556 638792 639829 649528 660569 665126 671296 671671 693056 704704 705848 710528 723338 724064 730048 748748 754936 758912 760144 765184 767624 786058 806344 807653 813008 821227 826672 828014 847847 854854 855712 862784 868736 878339 896896 898352 921536 923032 929152 944768 952952 954499 967456 968968 970541 976976 978562 1003816 1026688 1027922 1038037 1043504 1045198 1052128 1053836 1055483 1089088 1090856 1105664 1107392 1108723 1116544 1117886 1136674 1172864 1174768 1176604 1186328 1192576 1194512 1202432 1204384 1233232 1235234 1243424 1267112 1269169 1277584 1279658 1299056 1310309 1321138 1330252 1342592 1343342 1380247 1386112 1409408 1411696 1421056 1446676 1448128 1460096 1497496 1499927 1509872 1517824 1520288 1535248 1572116 1612688 1615306 1626016 1631201 1642454 1653344 1656028 1695694 1709708 1711424 1725568 1737472 1756678 1793792 1796704 1843072 1844213 1846064 1858304 1889536 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32154234112 32206432544 33479782336 33756474752 34683850432 35572268732 35866254424 36469048616 39274360048 40654021408 40990005056 41678912704 41729007551 43781253824 44143082368 44283844748 44884982912 46415152784 46461738752 47690294344 49316099833 51741481792 52169097344 53045888896 54503193536 56269909696 56361256952 57126341888 60696738256 63820835078 64412865088 66959564672 67512949504 69367700864 71144537464 71732508848 72938097232 77496728309 78548720096 81308042816 81980010112 83357825408 83458015102 87562507648 88286164736 88567689496 89769965824 92830305568 95380588688 98632199666 103482963584 104338194688 106091777792 109006387072 112539819392 112722513904 121393476512 127641670156 128825730176 133919129344 138735401728 142289074928 143465017696 145876194464 154993456618 157097440192 162616085632 163960020224 166715650816 166916030204 175125015296 177135378992 185660611136 190761177376 197264399332 206965927168 218012774144 225079638784 225445027808 242786953024 255283340312 257651460352 284578149856 286930035392 291752388928 309986913236 314194880384 325232171264 333832060408 354270757984 371321222272 381522354752 394528798664 450890055616 485573906048 510566680624 542477098163 569156299712 573860070784 583504777856 619973826472 628389760768 667664120816 708541515968 742642444544 763044709504 789057597328 901780111232 971147812096 1021133361248 1084954196326 1138312599424 1147720141568 1167009555712 1239947652944 1335328241632 1417083031936 1526089419008 1578115194656 1803560222464 2042266722496 2169908392652 2276625198848 2479895305888 2670656483264 2834166063872 3156230389312 4084533444992 4339816785304 4959790611776 5341312966528 6312460778624 8169066889984 8679633570608 9919581223552 10682625933056 12624921557248 17359267141216 19839162447104 34718534282432 69437068564864 138874137129728
- Sum of all divisors σ(n): 411734764538496
- Sum of proper divisors (its aliquot sum) s(n): 272860627408768
- 138874137129728 is an abundant number, because the sum of its proper divisors (272860627408768) is greater than itself. Its abundance is 133986490279040
Bases of 138874137129728
- Binary: 111111001001110001001111001110010110011000000002
- Hexadecimal: 0x7E4E279CB300
- Base-36: 1D85WBMFI8
Squares and roots of 138874137129728
- 138874137129728 squared (1388741371297282) is 19286025963526497106301353984
- 138874137129728 cubed (1388741371297283) is 2678330214346273338466963213065773857636352
-
The
square root of 138874137129728 is 11784487.1390200091 -
The
cube root of 138874137129728 is 51785.3748818239
Scales and comparisons
How big is 138874137129728?- 138,874,137,129,728 seconds is equal to 4,415,767 years, 51 weeks, 5 days, 2 hours, 42 minutes, 8 seconds.
-
To count from 1 to 138,874,137,129,728 would take you about eleven million, thirty-nine thousand, four hundred nineteen 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 138874137129728 cubic inches would be around 4315.4 feet tall.
Recreational maths with 138874137129728
- 138874137129728 backwards is 827921731478831
- The number of decimal digits it has is: 15
- The sum of 138874137129728's digits is 71
- More coming soon!
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"Number 138874137129728 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138874137129728 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138874137129728/
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The information we have on file for 138874137129728 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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