138006704557680
138,006,704,557,680 is an even composite number composed of seven prime numbers multiplied together.
138006704557680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138006704557680:
24 × 3 × 5 × 72 × 312 × 73 × 4092
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 31 × 31 × 73 × 409 × 409)See below for interesting mathematical facts about the number 138006704557680 from the Numbermatics database.
Names of 138006704557680
- Cardinal: 138006704557680 can be written as One hundred thirty-eight trillion, six billion, seven hundred four million, five hundred fifty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3800670455768 × 1014
Factors of 138006704557680
Divisors of 138006704557680
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 49 56 60 62 70 73 80 84 93 98 105 112 120 124 140 146 147 155 168 186 196 210 217 219 240 245 248 280 292 294 310 336 365 372 392 409 420 434 438 465 490 496 511 560 584 588 620 651 730 735 744 784 818 840 868 876 930 961 980 1022 1085 1095 1168 1176 1227 1240 1302 1460 1470 1488 1519 1533 1636 1680 1736 1752 1860 1922 1960 2044 2045 2170 2190 2263 2352 2454 2480 2555 2604 2863 2883 2920 2940 3038 3066 3255 3272 3472 3504 3577 3720 3844 3920 4088 4090 4340 4380 4526 4557 4805 4908 5110 5208 5726 5766 5840 5880 6076 6132 6135 6510 6544 6727 6789 7154 7440 7595 7665 7688 8176 8180 8589 8680 8760 9052 9114 9610 9816 10220 10416 10731 11315 11452 11532 11760 12152 12264 12270 12679 13020 13454 13578 14308 14315 14415 15190 15330 15376 15841 16360 17178 17360 17520 17885 18104 18228 19220 19632 20041 20181 20440 21462 22630 22785 22904 23064 24304 24528 24540 25358 26040 26908 27156 28616 28630 28830 29857 30380 30660 31682 32720 33635 33945 34356 35770 36208 36456 38037 38440 40082 40362 40880 42924 42945 45260 45570 45808 46128 47089 47523 49080 50716 52080 53655 53816 54312 57232 57260 57660 59714 60123 60760 61320 63364 63395 67270 67890 68712 70153 71540 72912 76074 76880 79205 80164 80724 85848 85890 88753 89571 90520 91140 94178 95046 98160 100205 100905 101432 107310 107632 108624 110887 114520 115320 119428 120246 121520 122640 126728 126790 134540 135780 137424 140306 141267 143080 149285 152148 158410 160328 161448 167281 171696 171780 177506 179142 181040 182280 188356 190092 190185 200410 201810 202864 208999 210459 214620 221774 229040 230640 235445 237615 238856 240492 253456 253580 266259 269080 271560 280612 282534 286160 298570 300615 304296 316820 320656 322896 332661 334562 343560 350765 355012 358284 364560 376712 380184 380370 393049 400820 403620 417998 420918 429240 443548 443765 447855 470890 475230 477712 480984 491071 501843 507160 532518 538160 543120 554435 561224 565068 597140 601230 608592 621271 626997 633640 665322 669124 687120 701530 706335 710024 716568 753424 760368 760740 786098 801640 807240 835996 836405 841836 858480 887096 887530 895710 925567 941780 950460 961968 982142 1003686 1014320 1044995 1052295 1065036 1108870 1122448 1130136 1170967 1179147 1194280 1202460 1242542 1253994 1267280 1330644 1331295 1338248 1403060 1412670 1420048 1433136 1462993 1473213 1521480 1572196 1603280 1614480 1663305 1671992 1672810 1683672 1774192 1775060 1791420 1851134 1863813 1883560 1900920 1964284 1965245 2007372 2089990 2104590 2130072 2217740 2260272 2341934 2358294 2388560 2404920 2455355 2485084 2507988 2509215 2661288 2662590 2676496 2751343 2776701 2806120 2825340 2925986 2946426 3042960 3106355 3134985 3144392 3326610 3343984 3345620 3367344 3437497 3512901 3550120 3582840 3702268 3727626 3767120 3801840 3928568 3930490 4014744 4179980 4209180 4260144 4388979 4435480 4627835 4683868 4716588 4809840 4910710 4970168 5015976 5018430 5185711 5322576 5325180 5502686 5553402 5612240 5650680 5851972 5854835 5892852 5895735 6212710 6269970 6288784 6478969 6653220 6691240 6874994 7025802 7100240 7165680 7314965 7366065 7404536 7455252 7857136 7860980 8029488 8196769 8254029 8359960 8418360 8777958 8870960 9255670 9319065 9367736 9433176 9821420 9940336 10031952 10036860 10312491 10371422 10650360 11005372 11106804 11301360 11703944 11709670 11785704 11791470 12211513 12425420 12539940 12957938 13306440 13382480 13749988 13756715 13883505 14051604 14629930 14732130 14809072 14910504 15557133 15721960 16393538 16508058 16719920 16836720 17187485 17555916 17564505 18511340 18638130 18735472 18866352 19259401 19436907 19642840 20073720 20624982 20742844 21300720 21944895 22010744 22213608 23407888 23419340 23571408 23582940 24423026 24590307 24850840 25079880 25915876 25928555 26612880 27499976 27513430 27767010 28103208 28692577 29259860 29464260 29821008 31114266 31443920 32394845 32787076 33016116 34374970 35111832 35129010 36299977 36634539 37022680 37276260 38518802 38873814 39285680 40147440 40983845 41249964 41270145 41485688 43889790 44021488 44427216 45352783 46838680 47165880 48846052 49180614 49701680 50159760 51562455 51831752 51857110 54999952 55026860 55534020 56206416 57385154 57778203 58519720 58928520 61057565 62228532 64789690 65574152 66032232 68749940 70223664 70258020 72599954 73269078 74045360 74552520 77037604 77747628 77785665 81967690 82499928 82540290 82971376 85480591 86077731 87779580 90705566 93677360 94331760 96297005 97184535 97692104 98361228 103124910 103663504 103714220 108899931 110053720 111068040 114770308 115556406 117039440 117857040 122115130 122951535 124457064 129579380 131148304 132064464 136058349 137499880 140516040 143462885 145199908 146538156 149105040 154075208 155495256 155571330 160757041 163935380 164999856 165080580 170961182 172155462 175559160 181411132 181499885 183172695 192594010 194369070 195384208 196722456 200848039 206249820 207428440 217799862 220107440 222136080 226763915 229540616 231112812 244230260 245903070 248914128 254099839 256441773 259158760 272116698 274999760 281032080 286925770 288891015 290399816 293076312 308150416 310990512 311142660 321514082 327870760 330161160 341922364 344310924 351118320 362822264 362999770 366345390 378556903 385188020 388738140 393444912 401696078 412499640 414856880 427402955 430388655 435599724 453527830 459081232 462225624 482271123 488460520 491806140 508199678 512883546 518317520 544233396 544499655 573851540 577782030 580799632 586152624 598364137 602544117 622285320 643028164 655741520 660322320 680291745 683844728 688621848 725644528 725999540 732690780 757113806 762299517 770376040 777476280 803392156 803785205 824999280 854805910 860777310 871199448 907055660 924451248 964542246 976921040 983612280 1004240195 1016399356 1025767092 1088466792 1088999310 1125299287 1135670709 1147703080 1155564060 1196728274 1205088234 1244570640 1270499195 1282208865 1286056328 1360583490 1367689456 1377243696 1405936273 1451999080 1465381560 1514227612 1524599034 1540752080 1554952560 1606784312 1607570410 1709611820 1721554620 1742398896 1795092411 1814111320 1892784515 1929084492 1967224560 2008480390 2032798712 2051534184 2176933584 2177998620 2250598574 2271341418 2295406160 2311128120 2393456548 2410176468 2411355615 2540998390 2564417730 2572112656 2649898321 2721166980 2811872546 2903998160 2930763120 2991820685 3012720585 3028455224 3049198068 3213568624 3215140820 3375897861 3419223640 3443109240 3590184822 3628222640 3785569030 3811497585 3858168984 4016960780 4065597424 4103068368 4217808819 4355997240 4501197148 4542682836 4622256240 4786913096 4820352936 4822711230 5081996780 5128835460 5299796642 5442333960 5623745092 5626496435 5678353545 5983641370 6025441170 6056910448 6098396136 6430281640 6751795722 6838447280 6886218480 7029681365 7180369644 7571138060 7622995170 7716337968 7877095009 7949694963 8033921560 8435617638 8711994480 8975462055 9002394296 9085365672 9573826192 9640705872 9645422460 10163993560 10257670920 10599593284 10884667920 11247490184 11252992870 11356707090 11735263993 11967282740 12050882340 12196792272 12860563280 13249491605 13503591444 14059362730 14360739288 15142276120 15245990340 15754190018 15899389926 16067843120 16871235276 16879489305 17950924110 18004788592 18170731344 18549288247 19290844920 20327987120 20515341840 21089044095 21199186568 22494980368 22505985740 22713414180 23470527986 23631285027 23934565480 24101764680 26498983210 27007182888 28118725460 28721478576 30284552240 30491980680 31508380036 31798779852 33742470552 33758978610 35205791979 35901848220 37098576494 38581689840 39385475045 39748474815 42178088190 42398373136 45011971480 45426828360 46941055972 47262570054 47869130960 48203529360 52997966420 54014365776 55647864741 56237450920 58676319965 60983961360 63016760072 63597559704 67484941104 67517957220 70411583958 71803696440 74197152988 78770950090 79496949630 82146847951 84356176380 90023942960 90853656720 92746441235 93882111944 94525140108 105995932840 111295729482 112474901840 117352639930 118156425135 126033520144 127195119408 135035914440 140823167916 143607392880 148394305976 157541900180 158993899260 164293695902 168712352760 176028959895 185492882470 187764223888 189050280216 211991865680 222591458964 234705279860 236312850270 246440543853 270071828880 278239323705 281646335832 296788611952 315083800360 317987798520 328587391804 337424705520 352057919790 370985764940 378100560432 410734239755 445182917928 469410559720 472625700540 492881087706 556478647410 563292671664 575027935657 630167600720 635975597040 657174783608 704115839580 741971529880 821468479510 890365835856 938821119440 945251401080 985762175412 1112957294820 1150055871314 1232202719265 1314349567216 1408231679160 1483943059760 1642936959020 1725083806971 1890502802160 1971524350824 2225914589640 2300111742628 2464405438530 2816463358320 2875139678285 3285873918040 3450167613942 3943048701648 4451829179280 4600223485256 4928810877060 5750279356570 6571747836080 6900335227884 8625419034855 9200446970512 9857621754120 11500558713140 13800670455768 17250838069710 19715243508240 23001117426280 27601340911536 34501676139420 46002234852560 69003352278840 138006704557680
- Sum of all divisors σ(n): 522562828789296
- Sum of proper divisors (its aliquot sum) s(n): 384556124231616
- 138006704557680 is an abundant number, because the sum of its proper divisors (384556124231616) is greater than itself. Its abundance is 246549419673936
Bases of 138006704557680
- Binary: 111110110000100001100001001101000001110011100002
- Hexadecimal: 0x7D84309A0E70
- Base-36: 1CX3EKNZAO
Squares and roots of 138006704557680
- 138006704557680 squared (1380067045576802) is 19045850502870773684446982400
- 138006704557680 cubed (1380067045576803) is 2628455063399427922561437172112402744832000
-
The
square root of 138006704557680 is 11747625.4859303375 -
The
cube root of 138006704557680 is 51677.3293893707
Scales and comparisons
How big is 138006704557680?- 138,006,704,557,680 seconds is equal to 4,388,186 years, 16 weeks, 5 days, 6 hours, 28 minutes.
-
To count from 1 to 138,006,704,557,680 would take you about ten million, nine hundred seventy thousand, four hundred sixty-five 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 138006704557680 cubic inches would be around 4306.4 feet tall.
Recreational maths with 138006704557680
- 138006704557680 backwards is 086755407600831
- 138006704557680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138006704557680's digits is 60
- More coming soon!
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The information we have on file for 138006704557680 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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