138435022077840
138,435,022,077,840 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138435022077840 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
138435022077840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138435022077840:
24 × 35 × 5 × 292 × 61 × 127 × 1093
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 29 × 29 × 61 × 127 × 1093)See below for interesting mathematical facts about the number 138435022077840 from the Numbermatics database.
Names of 138435022077840
- Cardinal: 138435022077840 can be written as One hundred thirty-eight trillion, four hundred thirty-five billion, twenty-two million, seventy-seven thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3843502207784 × 1014
Factors of 138435022077840
Divisors of 138435022077840
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 61 72 80 81 87 90 108 116 120 122 127 135 144 145 162 174 180 183 216 232 240 243 244 254 261 270 290 305 324 348 360 366 381 405 432 435 464 486 488 508 522 540 549 580 610 635 648 696 720 732 762 783 810 841 870 915 972 976 1016 1044 1080 1093 1098 1143 1160 1215 1220 1270 1296 1305 1392 1464 1524 1566 1620 1647 1682 1740 1769 1830 1905 1944 2032 2088 2160 2186 2196 2286 2320 2349 2430 2440 2523 2540 2610 2745 2928 3048 3132 3240 3279 3294 3364 3429 3480 3538 3660 3683 3810 3888 3915 4176 4205 4372 4392 4572 4698 4860 4880 4941 5046 5080 5220 5307 5465 5490 5715 6096 6264 6480 6558 6588 6728 6858 6960 7047 7076 7320 7366 7569 7620 7747 7830 8235 8410 8744 8784 8845 9144 9396 9720 9837 9882 10092 10160 10287 10440 10614 10930 10980 11049 11430 11745 12528 12615 13116 13176 13456 13716 14094 14152 14640 14732 14823 15138 15240 15494 15660 15921 16395 16470 16820 17145 17488 17690 18288 18415 18792 19440 19674 19764 20184 20574 20880 21228 21860 21960 22098 22707 22860 23241 23490 24705 25230 26232 26352 26535 27432 28188 28304 29464 29511 29646 30276 30480 30861 30988 31320 31697 31842 32790 32940 33147 33640 34290 35235 35380 36830 37584 37845 38735 39348 39528 40368 41148 42456 43720 43920 44196 45414 45720 46482 46980 47763 49185 49410 50460 51301 51435 52464 53070 54864 55245 56376 58928 59022 59292 60552 61722 61976 62640 63394 63684 65580 65880 66294 66673 67280 68121 68580 69723 70470 70760 73660 74115 75690 77470 78696 79056 79605 82296 84912 87440 88392 88533 90828 91440 92964 93960 95091 95526 98370 98820 99441 100920 102602 102870 106140 106807 110490 112752 113535 116205 118044 118584 121104 123444 123952 126788 127368 131160 131760 132588 133346 136242 137160 138811 139446 140940 141520 143289 147320 147555 148230 151380 153903 154305 154940 157392 158485 159210 164592 165735 176784 177066 181656 185928 187920 190182 191052 196740 197640 198882 200019 201840 204363 205204 205740 209169 212280 213614 220980 224663 227070 232410 236088 237168 238815 246888 253576 254736 256505 262320 265176 265599 266692 272484 274320 277622 278892 281880 285273 286578 294640 295110 296460 298323 302760 307806 308610 309880 316970 318420 320421 331470 333365 340605 348615 354132 363312 371856 380364 382104 393480 395280 397764 400038 408726 410408 411480 416433 418338 424560 427228 429867 441960 442665 449326 454140 461709 464820 472176 475455 477630 493776 497205 507152 513010 530352 531198 533384 534035 544968 555244 557784 563760 570546 573156 590220 592920 596646 600057 605520 615612 617220 619760 627507 633940 636840 640842 662940 666730 673989 681210 694055 697230 708264 716445 760728 764208 769515 786960 795528 800076 817452 820816 822960 832866 836676 854456 855819 859734 883920 885330 894969 898652 908280 919213 923418 929640 950910 955260 961263 994410 1000095 1021815 1026020 1045845 1062396 1066768 1068070 1089936 1110488 1115568 1123315 1141092 1146312 1180440 1185840 1193292 1200114 1231224 1234440 1249299 1255014 1267880 1273680 1281684 1325880 1327995 1333460 1347978 1362420 1385127 1388110 1394460 1416528 1426365 1432890 1491615 1521456 1539030 1591056 1600152 1602105 1634904 1665732 1673352 1708912 1711638 1719468 1770660 1789938 1797304 1800171 1816560 1838426 1846836 1859280 1882521 1901820 1910520 1922526 1933517 1988820 2000190 2021967 2043630 2052040 2082165 2091690 2124792 2136140 2149335 2220976 2246630 2282184 2292624 2308545 2360880 2386584 2400228 2462448 2468880 2498598 2510028 2535760 2563368 2567457 2651760 2655990 2666920 2695956 2724840 2757639 2770254 2776220 2788920 2852730 2865780 2883789 2983230 3000285 3078060 3137535 3200304 3204210 3269808 3331464 3346704 3369945 3423276 3438936 3541320 3579876 3594608 3600342 3676852 3693672 3747897 3765042 3803640 3821040 3845052 3867034 3977640 4000380 4025519 4043934 4087260 4104080 4155381 4164330 4183380 4249584 4272280 4279095 4298670 4474845 4493260 4564368 4596065 4617090 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692109360 696066120 700440306 703644516 724593420 727908120 736669977 744562530 762072390 781827240 783074385 835279344 841079895 869512104 873489744 879555645 893475036 897151888 899495280 914486868 933920408 938192688 939689262 966124560 978201117 982226636 992750040 997291440 1009295874 1016096520 1038164040 1044099180 1050660459 1055466774 1086890130 1091862180 1116843795 1121439860 1143108585 1167400510 1172740860 1191300048 1219315824 1227783295 1252919016 1296123120 1304268156 1345727832 1349242920 1371730302 1392132240 1400880612 1407289032 1449186840 1455816240 1473339954 1489125060 1513943811 1524144780 1563654480 1566148770 1583200161 1630335195 1682159790 1739024208 1751100765 1759111290 1786950072 1828973736 1867840816 1879378524 1956402234 1964453272 1985500080 2018591748 2032193040 2057595453 2076328080 2088198360 2101320918 2110933548 2173780260 2183724360 2210009931 2233687590 2242879720 2286217170 2334801020 2345481720 2349223155 2455566590 2505838032 2523239685 2608536312 2638666935 2691455664 2698485840 2743460604 2801761224 2814578064 2898373680 2946679908 2978250120 3027887622 3048289560 3132297540 3151981377 3166400322 3260670390 3364319580 3429325755 3502201530 3518222580 3573900144 3657947472 3683349885 3758757048 3912804468 3928906544 4037183496 4115190906 4176396720 4202641836 4221867096 4347560520 4367448720 4420019862 4467375180 4485759440 4541831433 4572434340 4669602040 4690963440 4698446310 4891005585 4911133180 5046479370 5217072624 5253302295 5277333870 5486921208 5603522448 5893359816 5956500240 6055775244 6096579120 6264595080 6303962754 6332800644 6521340780 6630029793 6728639160 6858651510 7004403060 7036445160 7121143111 7366699770 7517514096 7569719055 7825608936 7916000805 8074366992 8230381812 8405283672 8443734192 8695121040 8840039724 8934750360 9083662866 9144868680 9339204080 9396892620 9455944131 9782011170 9822266360 10092958740 10287977265 10506604590 10554667740 10973842416 11050049655 11786719632 12111550488 12529190160 12607925508 12665601288 13042681560 13260059586 13457278320 13625494299 13717303020 14008806120 14072890320 14242286222 14733399540 15139438110 15651217872 15759906885 15832001610 16460763624 16810567344 17680079448 17869500720 18167325732 18289737360 18793785240 18911888262 19564022340 19644532720 19890089379 20185917480 20575954530 21013209180 21109335480 21363429333 22100099310 22709157165 24223100976 25215851016 25331202576 26085363120 26520119172 27250988598 27434606040 28017612240 28367832393 28484572444 29466799080 30278876220 31519813770 31664003220 32921527248 33150148965 35360158896 35605715555 36334651464 37587570480 37823776524 39128044680 39780178758 40371834960 41151909060 42026418360 42218670960 42726858666 44200198620 45418314330 47279720655 50431702032 53040238344 54501977196 54869212080 56735664786 56969144888 58933598160 59670268137 60557752440 63039627540 63328006440 64090287999 66300297930 68127471495 71211431110 72669302928 75647553048 78256089360 79560357516 82303818120 84052836720 85453717332 88400397240 90836628660 94559441310 99450446895 106080476688 106817146665 109003954392 113471329572 113938289776 119340536274 121115504880 126079255080 126656012880 128180575998 132600595860 136254942990 141839161965 142422862220 151295106096 159120715032 164607636240 170907434664 176800794480 181673257320 189118882620 192270863997 198900893790 213634293330 218007908784 226942659144 238681072548 252158510160 256361151996 265201191720 272509885980 283678323930 284845724440 298351340685 318241430064 320451439995 341814869328 363346514640 378237765240 384541727994 397801787580 427268586660 453885318288 477362145096 512722303992 530402383440 545019771960 567356647860 569691448880 576812591991 596702681370 640902879990 756475530480 769083455988 795603575160 854537173320 954724290192 961354319985 1025444607984 1090039543920 1134713295720 1153625183982 1193405362740 1281805759980 1538166911976 1591207150320 1709074346640 1730437775973 1922708639970 2269426591440 2307250367964 2386810725480 2563611519960 2884062959955 3076333823952 3460875551946 3845417279940 4614500735928 4773621450960 5127223039920 5768125919910 6921751103892 7690834559880 8652188879865 9229001471856 11536251839820 13843502207784 15381669119760 17304377759730 23072503679640 27687004415568 34608755519460 46145007359280 69217511038920 138435022077840
- Sum of all divisors σ(n): 511978193965056
- Sum of proper divisors (its aliquot sum) s(n): 373543171887216
- 138435022077840 is an abundant number, because the sum of its proper divisors (373543171887216) is greater than itself. Its abundance is 235108149809376
Bases of 138435022077840
- Binary: 111110111100111111010100101000010111111100100002
- Hexadecimal: 0x7DE7EA50BF90
- Base-36: 1D2K65UX00
Squares and roots of 138435022077840
- 138435022077840 squared (1384350220778402) is 19164255337692048231019065600
- 138435022077840 cubed (1384350220778403) is 2653004110778761761572134463057967266304000
-
The
square root of 138435022077840 is 11765841.3246924251 -
The
cube root of 138435022077840 is 51730.7360852557
Scales and comparisons
How big is 138435022077840?- 138,435,022,077,840 seconds is equal to 4,401,805 years, 25 weeks, 4 days, 23 hours, 24 minutes.
-
To count from 1 to 138,435,022,077,840 would take you about eleven million, four thousand, five hundred thirteen 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 138435022077840 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138435022077840
- 138435022077840 backwards is 048770220534831
- 138435022077840 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138435022077840's digits is 54
- More coming soon!
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The information we have on file for 138435022077840 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 138435022077840, math, Factors of 138435022077840, curriculum, school, college, exams, university, Prime factorization of 138435022077840, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred thirty-five billion, twenty-two million, seventy-seven thousand, eight hundred forty.