138125128187904
138,125,128,187,904 is an even composite number composed of five prime numbers multiplied together.
138125128187904 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138125128187904:
214 × 3 × 113 × 133 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 11 × 13 × 13 × 13 × 31 × 31)See below for interesting mathematical facts about the number 138125128187904 from the Numbermatics database.
Names of 138125128187904
- Cardinal: 138125128187904 can be written as One hundred thirty-eight trillion, one hundred twenty-five billion, one hundred twenty-eight million, one hundred eighty-seven thousand, nine hundred four.
Scientific notation
- Scientific notation: 1.38125128187904 × 1014
Factors of 138125128187904
Divisors of 138125128187904
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 31 32 33 39 44 48 52 62 64 66 78 88 93 96 104 121 124 128 132 143 156 169 176 186 192 208 242 248 256 264 286 312 338 341 352 363 372 384 403 416 429 484 496 507 512 528 572 624 676 682 704 726 744 768 806 832 858 961 968 992 1014 1023 1024 1056 1144 1209 1248 1331 1352 1364 1408 1452 1488 1536 1573 1612 1664 1716 1859 1922 1936 1984 2028 2046 2048 2112 2197 2288 2418 2496 2662 2704 2728 2816 2883 2904 2976 3072 3146 3224 3328 3432 3718 3751 3844 3872 3968 3993 4056 4092 4096 4224 4394 4433 4576 4719 4836 4992 5239 5324 5408 5456 5577 5632 5766 5808 5952 6144 6292 6448 6591 6656 6864 7436 7502 7688 7744 7936 7986 8112 8184 8192 8448 8788 8866 9152 9438 9672 9984 10478 10571 10648 10816 10912 11154 11253 11264 11532 11616 11904 12288 12493 12584 12896 13182 13299 13312 13728 14872 15004 15376 15488 15717 15872 15972 16224 16368 16384 16896 17303 17576 17732 18304 18876 19344 19968 20449 20956 21142 21296 21632 21824 22308 22506 22528 23064 23232 23808 24167 24576 24986 25168 25792 26364 26598 26624 27456 29744 30008 30752 30976 31434 31713 31744 31944 32448 32736 33792 34606 35152 35464 36608 37479 37752 38688 39936 40898 41261 41912 42284 42592 43264 43648 44616 45012 45056 46128 46464 47616 48334 48763 49152 49972 50336 51584 51909 52728 53196 53248 54912 57629 59488 60016 61347 61504 61952 62868 63426 63488 63888 64896 65472 67584 68107 69212 70304 70928 72501 73216 74958 75504 77376 79872 81796 82522 83824 84568 85184 86528 87296 89232 90024 90112 92256 92928 95232 96668 97526 99944 100672 103168 103818 105456 106392 106496 109824 115258 116281 118976 120032 122694 123008 123783 123904 125736 126852 126976 127776 129792 130944 135168 136214 137423 138424 140608 141856 145002 146289 146432 149916 151008 154752 159744 162409 163592 165044 167648 169136 170368 172887 173056 174592 178464 180048 180224 184512 185856 190464 193336 195052 199888 201344 204321 206336 207636 210912 212784 212992 219648 224939 230516 232562 237952 240064 245388 246016 247566 247808 251472 253704 253952 255552 259584 261888 265837 270336 272428 274846 276848 281216 283712 290004 292578 292864 299832 302016 309504 319488 324818 327184 330088 335296 338272 340736 345774 346112 348843 349184 356928 360096 369024 371712 380928 386672 390104 399776 402688 408642 412269 412672 415272 421824 425568 439296 449878 461032 465124 475904 480128 487227 490776 492032 495132 495616 502944 507408 507904 511104 519168 523776 531674 536393 540672 544856 549692 553696 562432 567424 580008 585156 585728 599664 604032 619008 633919 638976 649636 654368 660176 670592 674817 676544 681472 691548 692224 697686 698368 713856 720192 738048 743424 749177 761856 773344 780208 797511 799552 805376 817284 824538 825344 830544 843648 851136 878592 899756 922064 930248 951808 960256 974454 981552 984064 990264 991232 1005888 1014816 1022208 1038336 1047552 1063348 1072786 1089712 1099384 1107392 1124864 1134848 1160016 1170312 1171456 1199328 1208064 1238016 1267838 1279091 1299272 1308736 1320352 1341184 1349634 1353088 1362944 1383096 1384448 1395372 1396736 1427712 1440384 1476096 1486848 1498354 1511653 1523712 1546688 1560416 1595022 1599104 1609179 1610752 1634568 1649076 1650688 1661088 1687296 1702272 1757184 1786499 1799512 1844128 1860496 1901757 1903616 1920512 1948908 1963104 1968128 1980528 1982464 2011776 2029632 2044416 2076672 2095104 2111317 2126696 2145572 2179424 2198768 2214784 2247531 2249728 2269696 2320032 2340624 2342912 2398656 2416128 2476032 2535676 2558182 2598544 2617472 2640704 2682368 2699268 2706176 2725888 2766192 2768896 2790744 2793472 2855424 2880768 2924207 2952192 2973696 2996708 3023306 3093376 3120832 3190044 3198208 3218358 3221504 3269136 3298152 3301376 3322176 3374592 3404544 3514368 3572998 3599024 3688256 3720992 3803514 3807232 3837273 3841024 3897816 3926208 3936256 3961056 4023552 4059264 4088832 4153344 4190208 4222634 4253392 4291144 4358848 4397536 4429568 4495062 4499456 4534959 4539392 4640064 4681248 4797312 4832256 4952064 5071352 5116364 5197088 5234944 5281408 5359497 5364736 5398536 5412352 5451776 5532384 5581488 5586944 5710848 5761536 5848414 5904384 5947392 5993416 6046612 6186752 6241664 6333951 6380088 6396416 6436716 6443008 6538272 6596304 6602752 6644352 6749184 6809088 6973109 7028736 7145996 7198048 7376512 7441984 7607028 7614464 7674546 7682048 7795632 7852416 7872512 7922112 8047104 8118528 8177664 8240947 8306688 8380416 8445268 8506784 8582288 8717696 8772621 8795072 8859136 8990124 8998912 9069918 9078784 9280128 9362496 9594624 9664512 9904128 10142704 10232728 10394176 10469888 10562816 10718994 10729472 10797072 10824704 10903552 11064768 11162976 11421696 11523072 11696828 11808768 11986832 12093224 12373504 12483328 12667902 12760176 12792832 12873432 12886016 13076544 13192608 13288704 13498368 13618176 13946218 14291992 14396096 14753024 14883968 15214056 15228928 15349092 15364096 15591264 15704832 15745024 15844224 16094208 16237056 16355328 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169005056 171503904 172753152 173195264 177036288 178607616 181300834 184369152 185795896 187149248 191789312 193491584 197782728 197976064 199538196 199733248 202686432 204162816 204685312 205974912 209224704 211081728 212619264 216166379 217890816 223139488 228671872 230337536 235817868 236048384 238143488 243424896 245585472 249460224 251277312 253507584 255469357 257507328 259792896 263710304 266050928 270248576 271951251 272217088 274633216 278693844 278966272 280723872 281442304 283492352 287683968 290237376 296964096 299599872 307027968 314423824 324566528 327447296 332613632 334709232 335036416 338010112 343007808 345506304 354072576 357215232 362601668 371591792 374298496 383578624 386983168 395565456 395952128 399076392 399466496 405372864 408325632 411949824 418449408 422163456 425238528 432332758 446278976 457343744 460675072 471635736 472096768 476286976 486849792 491170944 498920448 502554624 507015168 510938714 519585792 527420608 532101856 540497152 543902502 544434176 549266432 557387688 557932544 561447744 562884608 575367936 580474752 593928192 599199744 614055936 628847648 648499137 649133056 654894592 665227264 669418464 676020224 686015616 691012608 708145152 714430464 725203336 743183584 748596992 766408071 767157248 773966336 791130912 798152784 798932992 810745728 816651264 823899648 836898816 844326912 850477056 864665516 892557952 914687488 921350144 943271472 944193536 952573952 973699584 982341888 997840896 1005109248 1014030336 1021877428 1054841216 1064203712 1080994304 1087805004 1088868352 1098532864 1114775376 1115865088 1122895488 1125769216 1150735872 1160949504 1187856384 1198399488 1257695296 1296998274 1298266112 1309789184 1330454528 1338836928 1372031232 1382025216 1416290304 1428860928 1450406672 1486367168 1497193984 1532816142 1534314496 1547932672 1582261824 1596305568 1621491456 1633302528 1647799296 1673797632 1688653824 1729331032 1785115904 1829374976 1842700288 1886542944 1905147904 1947399168 1964683776 1995681792 2028060672 2043754856 2109682432 2128407424 2161988608 2175610008 2177736704 2197065728 2229550752 2245790976 2251538432 2301471744 2321899008 2396798976 2515390592 2593996548 2596532224 2619578368 2660909056 2677673856 2744062464 2764050432 2810162927 2832580608 2857721856 2900813344 2972734336 2994387968 3065632284 3068628992 3095865344 3164523648 3192611136 3242982912 3266605056 3295598592 3347595264 3377307648 3458662064 3570231808 3658749952 3685400576 3773085888 3894798336 3929367552 3991363584 4087509712 4219364864 4256814848 4323977216 4351220016 4355473408 4394131456 4459101504 4491581952 4602943488 4643798016 5030781184 5187993096 5193064448 5239156736 5355347712 5488124928 5528100864 5620325854 5715443712 5801626688 5945468672 5988775936 6131264568 6137257984 6191730688 6329047296 6385222272 6485965824 6533210112 6591197184 6754615296 6917324128 7140463616 7317499904 7546171776 7789596672 7858735104 7982727168 8175019424 8430488781 8438729728 8513629696 8647954432 8702440032 8788262912 8918203008 8983163904 9205886976 9287596032 10061562368 10375986192 10386128896 10478313472 10710695424 10976249856 11056201728 11240651708 11603253376 11890937344 11977551872 12262529136 12274515968 12383461376 12658094592 12770444544 12971931648 13066420224 13182394368 13834648256 14280927232 14634999808 15092343552 15579193344 15717470208 16350038848 16860977562 16877459456 17027259392 17295908864 17404880064 17836406016 17966327808 18411773952 18575192064 20123124736 20751972384 20956626944 21421390848 21952499712 22481303416 23206506752 23781874688 23955103744 24525058272 24766922752 25316189184 25540889088 25943863296 26364788736 27669296512 28561854464 29269999616 30184687104 31158386688 31434940416 32700077696 33721955124 33754918912 34054518784 34591817728 34809760128 35672812032 35932655616 36823547904 37150384128 40246249472 41503944768 42842781696 43904999424 44962606832 46413013504 47563749376 47910207488 49050116544 50632378368 51081778176 51887726592 55338593024 57123708928 60369374208 62869880832 65400155392 67443910248 67509837824 68109037568 69619520256 71345624064 71865311232 74300768256 80492498944 83007889536 85685563392 87809998848 89925213664 92826027008 95127498752 98100233088 101264756736 102163556352 103775453184 110677186048 114247417856 120738748416 130800310784 134887820496 135019675648 136218075136 139239040512 142691248128 143730622464 160984997888 166015779072 171371126784 179850427328 185652054016 190254997504 196200466176 202529513472 204327112704 221354372096 241477496832 261600621568 269775640992 272436150272 278478081024 285382496256 321969995776 332031558144 342742253568 359700854656 371304108032 380509995008 392400932352 405059026944 408654225408 442708744192 482954993664 523201243136 539551281984 556956162048 570764992512 664063116288 719401709312 742608216064 784801864704 817308450816 885417488384 965909987328 1046402486272 1079102563968 1113912324096 1141529985024 1328126232576 1438803418624 1485216432128 1569603729408 1770834976768 2092804972544 2158205127936 2227824648192 2656252465152 2877606837248 3139207458816 3541669953536 4185609945088 4316410255872 4455649296384 5312504930304 5755213674496 6278414917632 8632820511744 10625009860608 11510427348992 12556829835264 17265641023488 23020854697984 34531282046976 46041709395968 69062564093952 138125128187904
- Sum of all divisors σ(n): 453486073783680
- Sum of proper divisors (its aliquot sum) s(n): 315360945595776
- 138125128187904 is an abundant number, because the sum of its proper divisors (315360945595776) is greater than itself. Its abundance is 177235817407872
Bases of 138125128187904
- Binary: 111110110011111110000110011001101000000000000002
- Hexadecimal: 0x7D9FC3334000
- Base-36: 1CYLT31D6O
Squares and roots of 138125128187904
- 138125128187904 squared (1381251281879042) is 19078551036924912138731913216
- 138125128187904 cubed (1381251281879043) is 2635227307614722269593437961161173068939264
-
The
square root of 138125128187904 is 11752664.7271120603 -
The
cube root of 138125128187904 is 51692.1066117949
Scales and comparisons
How big is 138125128187904?- 138,125,128,187,904 seconds is equal to 4,391,951 years, 43 weeks, 3 hours, 18 minutes, 24 seconds.
-
To count from 1 to 138,125,128,187,904 would take you about ten million, nine hundred seventy-nine thousand, eight hundred seventy-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 138125128187904 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138125128187904
- 138125128187904 backwards is 409781821521831
- The number of decimal digits it has is: 15
- The sum of 138125128187904's digits is 60
- More coming soon!
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The information we have on file for 138125128187904 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!
Keywords: Divisors of 138125128187904, math, Factors of 138125128187904, curriculum, school, college, exams, university, Prime factorization of 138125128187904, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred twenty-five billion, one hundred twenty-eight million, one hundred eighty-seven thousand, nine hundred four.