138610315984140
138,610,315,984,140 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138610315984140 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2016 divisors.
138610315984140 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138610315984140:
22 × 36 × 5 × 72 × 11 × 13 × 331 × 4099
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 11 × 13 × 331 × 4099)See below for interesting mathematical facts about the number 138610315984140 from the Numbermatics database.
Names of 138610315984140
- Cardinal: 138610315984140 can be written as One hundred thirty-eight trillion, six hundred ten billion, three hundred fifteen million, nine hundred eighty-four thousand, one hundred forty.
Scientific notation
- Scientific notation: 1.3861031598414 × 1014
Factors of 138610315984140
Divisors of 138610315984140
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 11 12 13 14 15 18 20 21 22 26 27 28 30 33 35 36 39 42 44 45 49 52 54 55 60 63 65 66 70 77 78 81 84 90 91 98 99 105 108 110 117 126 130 132 135 140 143 147 154 156 162 165 180 182 189 195 196 198 210 220 231 234 243 245 252 260 270 273 286 294 297 308 315 324 330 331 351 364 378 385 390 396 405 420 429 441 455 462 468 486 490 495 539 540 546 567 572 585 588 594 630 637 660 662 693 702 715 729 735 756 770 780 810 819 858 882 891 910 924 945 972 980 990 993 1001 1053 1078 1092 1134 1155 1170 1188 1215 1260 1274 1287 1323 1324 1365 1386 1404 1430 1458 1470 1485 1540 1617 1620 1638 1655 1701 1716 1755 1764 1782 1820 1890 1911 1980 1986 2002 2079 2106 2145 2156 2205 2268 2310 2317 2340 2430 2457 2548 2574 2646 2673 2695 2730 2772 2835 2860 2916 2940 2970 2979 3003 3159 3185 3234 3276 3310 3402 3465 3510 3564 3641 3645 3780 3822 3861 3969 3972 4004 4095 4099 4158 4212 4290 4303 4410 4455 4620 4634 4851 4860 4914 4965 5005 5103 5148 5265 5292 5346 5390 5460 5670 5733 5940 5958 6006 6237 6318 6370 6435 6468 6615 6620 6804 6930 6951 7007 7020 7282 7290 7371 7644 7722 7938 8019 8085 8190 8198 8316 8505 8580 8606 8820 8910 8937 9009 9268 9477 9555 9702 9828 9930 10010 10206 10395 10530 10692 10780 10923 11340 11466 11583 11585 11907 11916 12012 12285 12297 12474 12636 12740 12870 12909 13230 13365 13860 13902 14014 14553 14564 14580 14742 14895 15015 15444 15795 15876 16038 16170 16219 16380 16396 17010 17199 17212 17820 17874 18018 18205 18711 18954 19110 19305 19404 19845 19860 20020 20412 20495 20790 20853 21021 21060 21515 21846 22113 22932 23166 23170 23814 24255 24570 24594 24948 25487 25515 25740 25818 26460 26730 26811 27027 27804 28028 28665 28693 29106 29484 29790 30030 30121 31185 31590 32076 32340 32438 32769 34020 34398 34749 34755 35035 35721 35748 36036 36410 36855 36891 37422 37908 38220 38610 38727 39690 40095 40990 41580 41706 42042 43030 43659 43692 44226 44685 45045 45089 46332 46340 47333 47385 47628 48510 48657 49140 49188 50974 51030 51597 51636 53287 53460 53622 54054 54615 56133 57330 57386 57915 58212 59535 59580 60060 60242 61485 62370 62559 63063 63180 64545 64876 65538 66339 68796 69498 69510 70070 71442 72765 72820 73710 73782 74844 76461 77220 77454 79380 80190 80433 81081 81095 81980 83412 84084 85995 86060 86079 87318 88452 89370 90090 90178 90363 93555 94666 94770 97020 97314 98307 101948 102060 103194 104247 104265 105105 106574 107244 108108 109230 110565 110673 112266 114660 114772 115830 116181 119070 120484 122970 124740 125118 126126 127435 129090 130977 131076 132678 134055 135135 135267 138996 139020 140140 141999 142884 143465 145530 145971 147420 147564 150605 152922 154791 154908 159861 160380 160866 162162 162190 163845 171990 172158 173745 174636 178409 178605 178740 180180 180356 180726 184455 187110 187677 189189 189332 189540 193635 194628 196614 200851 206388 208494 208530 210210 210847 213148 218295 218460 221130 221346 224532 225445 229383 231660 232362 236665 238140 241299 243243 243285 245940 250236 252252 254870 257985 258180 258237 261954 265356 266435 268110 270270 270534 271089 280665 283998 286930 291060 291942 294921 301210 305844 309582 312795 315315 315623 319722 321732 324324 324380 327690 331331 331695 332019 343980 344316 347490 348543 356818 357210 361452 368910 373009 374220 375354 378378 382305 387270 392931 393228 401702 402165 405405 405801 416988 417060 420420 421694 425997 430395 436590 437913 442260 442692 450890 451815 458766 464373 464724 473330 479583 482598 486486 486570 491535 509740 515970 516474 521235 523908 532870 535227 536220 540540 541068 542178 553365 561330 563031 567567 567996 573860 580905 583884 586157 589842 602420 602553 619164 625590 630630 631246 632541 639444 654885 655380 662662 663390 664038 676335 688149 694980 697086 709995 713636 714420 729729 729855 737820 746018 750708 756756 764610 773955 774540 774711 785862 799305 803404 804330 810810 811602 813267 843388 851994 860790 873180 875826 884763 892045 901780 903630 917532 928746 938385 945945 946660 946869 959166 965196 972972 973140 983070 993993 996057 1004255 1031940 1032948 1042470 1045629 1054235 1065740 1070454 1084356 1106730 1119027 1122660 1126062 1135134 1146915 1161810 1172314 1179684 1205106 1206495 1216215 1217403 1251180 1261260 1262492 1265082 1277991 1291185 1309770 1313739 1325324 1326780 1328076 1352670 1355445 1356769 1376298 1394172 1419990 1438749 1459458 1459710 1474605 1492036 1529220 1547910 1549422 1571724 1578115 1598610 1605681 1608660 1621620 1623204 1626534 1656655 1660095 1689093 1702701 1703988 1721580 1742715 1751652 1758471 1769526 1784090 1807260 1807659 1857492 1865045 1876770 1891890 1893738 1897623 1918332 1964655 1966140 1987986 1992114 2008510 2029005 2064447 2084940 2091258 2108470 2129985 2140908 2189565 2209361 2213460 2238054 2252124 2270268 2293830 2319317 2321865 2323620 2324133 2344628 2397915 2410212 2412990 2432430 2434806 2439801 2530164 2555982 2582370 2611063 2619540 2627478 2654289 2676135 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776071868 776924460 793709865 797780172 805134330 805920786 845984412 854616906 854764470 861650790 864261853 867067740 894791205 895467540 906411870 920356668 939323385 940240917 949574340 952451838 966161196 970089835 976135860 989084601 997053057 997225215 1024716420 1025717364 1033980948 1044712130 1057480515 1058279820 1073749446 1087694244 1098982890 1107836730 1111193811 1127188062 1150445835 1164107802 1193054940 1196670258 1207701495 1208881179 1234659790 1252431180 1253654556 1268976618 1282146705 1292476185 1300601610 1318779468 1329404076 1329633620 1343201310 1358125769 1359617805 1409974020 1424361510 1428677757 1462596982 1464203790 1481591748 1533927780 1537074630 1538576046 1550971422 1567068195 1587419730 1610268660 1610624169 1611841572 1648474335 1661755095 1690782093 1709233812 1709528940 1723301580 1728523706 1746161703 1789582410 1795005387 1812823740 1851989685 1878646770 1880481834 1903464927 1904903676 1940179670 1978169202 1994106114 1994450430 2014801965 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5714711028 5820539010 5982318342 5983351290 6044405895 6268272780 6344883090 6442496676 6581686419 6593897340 6647020380 6667162866 6763128372 6790628845 6923592207 6979371399 6984646812 7143388785 7180021548 7253287074 7312984910 7407958740 7613859708 7692880230 7754857110 7778356677 8053120845 8059207860 8148754614 8453910465 8462168253 8546169060 8572066542 8642618530 8730808515 8775581892 8975026935 9231456276 9305828532 9402409170 9506880383 9517324635 9524518380 9890846010 9970530570 10000744299 10371142236 10476970218 10737494460 10770032322 10879930611 10969477365 11111938110 11271880620 11282891004 11539320345 11632285665 11641078020 11964636684 11966702580 12088811790 12223131921 12689766180 12858099813 12963927795 13163372838 13334325732 13581257690 13847184414 13958742798 14103613755 14286777570 14506574148 14625969820 14955795855 15385760460 15509714220 15556713354 15715455327 16106241690 16155048483 16297509228 16667907165 16907820930 16924336506 17144133084 17285237060 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64290499065 64620193932 65816864190 66671628660 69235922070 69793713990 70005210093 72532870740 73338791526 76159514277 77783566770 78577276635 78980237028 80775242415 81487546140 83752456788 84621682530 85561923447 85720665420 90006698691 93340280124 94292731962 95068803830 96930290898 98725296285 100007442990 101546019036 104690570985 104769702180 107700323220 108799306110 110008187289 114082564596 116675350155 118470355542 120008931588 122231319210 126932523795 128580998130 131633728380 138471844140 139587427980 140010420186 141439097943 142603205745 146677583052 150011164485 152319028554 155567133540 157154553270 161550484830 169243365060 171123846894 177705533313 180013397382 183346978815 188585463924 190137607660 193860581796 197450592570 200014885980 209381141970 210015630279 217598612220 220016374578 233350700310 235731829905 236940711084 242325727245 244462638420 253865047590 256685770341 257161996260 280020840372 282878195886 285206411490 296175888855 300022328970 304638057108 314309106540 323100969660 330024561867 342247693788 350026050465 355411066626 360026794764 366693957630 380797571385 394901185140 418762283940 420031260558 427809617235 440032749156 450033493455 466701400620 471463659810 484651454490 507730095180 513371540682 533116599939 550040936445 565756391772 570412822980 592351777710 600044657940 630046890837 660049123734 700052100930 707195489715 710822133252 733387915260 761595142770 770057311023 840062521116 855619234470 888527666565 900066986910 942927319620 969302908980 990073685601 1026743081364 1050078151395 1066233199878 1100081872890 1184703555420 1260093781674 1283428851705 1320098247468 1400104201860 1414390979430 1523190285540 1540114622046 1650122809335 1711238468940 1777055333130 1800133973820 1980147371202 2100156302790 2132466399756 2200163745780 2310171933069 2520187563348 2566857703410 2665582999695 2828781958860 3080229244092 3150234454185 3300245618670 3554110666260 3850286555115 3960294742404 4200312605580 4620343866138 4950368428005 5133715406820 5331165999390 6300468908370 6600491237340 6930515799207 7700573110230 9240687732276 9900736856010 10662331998780 11550859665345 12600937816740 13861031598414 15401146220460 19801473712020 23101719330690 27722063196828 34652578996035 46203438661380 69305157992070 138610315984140
- Sum of all divisors σ(n): 598377879187200
- Sum of proper divisors (its aliquot sum) s(n): 459767563203060
- 138610315984140 is an abundant number, because the sum of its proper divisors (459767563203060) is greater than itself. Its abundance is 321157247218920
Bases of 138610315984140
- Binary: 111111000010000101110101010010101111101000011002
- Hexadecimal: 0x7E10BAA57D0C
- Base-36: 1D4SP7BOR0
Squares and roots of 138610315984140
- 138610315984140 squared (1386103159841402) is 19212819697223136776731539600
- 138610315984140 cubed (1386103159841403) is 2663095009178407990736021201843551381944000
-
The
square root of 138610315984140 is 11773288.2400856899 -
The
cube root of 138610315984140 is 51752.5616268457
Scales and comparisons
How big is 138610315984140?- 138,610,315,984,140 seconds is equal to 4,407,379 years, 15 weeks, 3 days, 15 hours, 9 minutes.
-
To count from 1 to 138,610,315,984,140 would take you about eleven million, eighteen thousand, four hundred forty-eight 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 138610315984140 cubic inches would be around 4312.7 feet tall.
Recreational maths with 138610315984140
- 138610315984140 backwards is 041489513016831
- 138610315984140 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138610315984140's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138610315984140 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
APA style:
Numbermatics. (2024). Number 138610315984140 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/138610315984140/
Chicago style:
Numbermatics. 2024. "Number 138610315984140 - Facts about the integer". https://numbermatics.com/n/138610315984140/
The information we have on file for 138610315984140 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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