138518672375808
138,518,672,375,808 is an even composite number composed of five prime numbers multiplied together.
138518672375808 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty divisors.
Prime factorization of 138518672375808:
216 × 34 × 192 × 412 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 19 × 41 × 41 × 43)See below for interesting mathematical facts about the number 138518672375808 from the Numbermatics database.
Names of 138518672375808
- Cardinal: 138518672375808 can be written as One hundred thirty-eight trillion, five hundred eighteen billion, six hundred seventy-two million, three hundred seventy-five thousand, eight hundred eight.
Scientific notation
- Scientific notation: 1.38518672375808 × 1014
Factors of 138518672375808
Divisors of 138518672375808
- Number of divisors d(n): 1530
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 41 43 48 54 57 64 72 76 81 82 86 96 108 114 123 128 129 144 152 162 164 171 172 192 216 228 246 256 258 288 304 324 328 342 344 361 369 384 387 432 456 492 512 513 516 576 608 648 656 684 688 722 738 768 774 779 817 864 912 984 1024 1026 1032 1083 1107 1152 1161 1216 1296 1312 1368 1376 1444 1476 1536 1539 1548 1558 1634 1681 1728 1763 1824 1968 2048 2052 2064 2166 2214 2304 2322 2337 2432 2451 2592 2624 2736 2752 2888 2952 3072 3078 3096 3116 3249 3268 3321 3362 3456 3483 3526 3648 3936 4096 4104 4128 4332 4428 4608 4644 4674 4864 4902 5043 5184 5248 5289 5472 5504 5776 5904 6144 6156 6192 6232 6498 6536 6642 6724 6912 6966 7011 7052 7296 7353 7872 8192 8208 8256 8664 8856 9216 9288 9348 9728 9747 9804 10086 10368 10496 10578 10944 11008 11552 11808 12288 12312 12384 12464 12996 13072 13284 13448 13824 13932 14022 14104 14592 14706 14801 15129 15523 15744 15867 16384 16416 16512 17328 17712 18432 18576 18696 19456 19494 19608 20172 20736 20992 21033 21156 21888 22016 22059 23104 23616 24576 24624 24768 24928 25992 26144 26568 26896 27648 27864 28044 28208 29184 29241 29412 29602 30258 31046 31488 31734 31939 32768 32832 33024 33497 34656 35424 36864 37152 37392 38912 38988 39216 40344 41472 41984 42066 42312 43776 44032 44118 44403 45387 46208 46569 47232 47601 49152 49248 49536 49856 51984 52288 53136 53792 55296 55728 56088 56416 58368 58482 58824 59204 60516 62092 62976 63099 63468 63878 65536 65664 66048 66177 66994 69312 70848 72283 73728 74304 74784 77824 77976 78432 80688 82944 83968 84132 84624 87552 88064 88236 88806 90774 92416 93138 94464 95202 95817 98304 98496 99072 99712 100491 103968 104576 106272 107584 110592 111456 112176 112832 116736 116964 117648 118408 121032 124184 125952 126198 126936 127756 131328 132096 132354 133209 133988 136161 138624 139707 141696 142803 144566 147456 148608 149568 155648 155952 156864 161376 165888 167936 168264 169248 175104 176128 176472 177612 181548 184832 186276 188928 190404 191634 196608 196992 198144 199424 200982 207936 209152 212544 215168 216849 221184 222912 224352 225664 233472 233928 235296 236816 242064 248368 251904 252396 253872 255512 262656 264192 264708 266418 267976 272322 277248 279414 283392 285606 287451 289132 294912 297216 299136 301473 311296 311904 313728 322752 331776 335872 336528 338496 350208 352256 352944 355224 363096 369664 372552 377856 380808 383268 393984 396288 398848 399627 401964 415872 418304 419121 425088 430336 433698 442368 445824 448704 451328 466944 467856 470592 473632 484128 496736 503808 504792 507744 511024 525312 528384 529416 532836 535952 544644 554496 558828 566784 571212 574902 578264 589824 594432 598272 602946 606841 622592 623808 627456 636443 645504 650547 663552 671744 673056 676992 700416 704512 705888 710448 726192 739328 745104 755712 761616 766536 787968 792576 797696 799254 803928 831744 836608 838242 850176 860672 862353 867396 884736 891648 897408 902656 904419 933888 935712 941184 947264 968256 993472 1007616 1009584 1015488 1022048 1050624 1056768 1058832 1065672 1071904 1089288 1108992 1117656 1133568 1142424 1149804 1156528 1188864 1196544 1198881 1205892 1213682 1245184 1247616 1254912 1257363 1272886 1291008 1301094 1327104 1343488 1346112 1353984 1373377 1400832 1409024 1411776 1420896 1452384 1478656 1490208 1511424 1523232 1533072 1575936 1585152 1595392 1598508 1607856 1663488 1673216 1676484 1700352 1721344 1724706 1734792 1769472 1783296 1794816 1805312 1808838 1820523 1867776 1871424 1882368 1894528 1909329 1936512 1951641 1986944 2015232 2019168 2030976 2044096 2101248 2113536 2117664 2131344 2143808 2178576 2217984 2235312 2267136 2284848 2299608 2313056 2377728 2393088 2397762 2411784 2427364 2495232 2509824 2514726 2545772 2582016 2587059 2602188 2654208 2686976 2692224 2707968 2713257 2746754 2801664 2818048 2823552 2841792 2904768 2957312 2980416 3022848 3046464 3066144 3151872 3170304 3190784 3197016 3215712 3326976 3346432 3352968 3400704 3442688 3449412 3469584 3566592 3589632 3610624 3617676 3641046 3735552 3742848 3764736 3789056 3818658 3873024 3903282 3973888 4030464 4038336 4061952 4088192 4120131 4202496 4227072 4235328 4262688 4287616 4357152 4435968 4470624 4534272 4569696 4599216 4626112 4755456 4786176 4795524 4823568 4854728 4990464 5019648 5029452 5091544 5164032 5174118 5204376 5308416 5384448 5415936 5426514 5461569 5493508 5603328 5647104 5683584 5727987 5809536 5854923 5914624 5960832 6045696 6092928 6132288 6303744 6340608 6381568 6394032 6431424 6653952 6692864 6705936 6801408 6885376 6898824 6939168 7133184 7179264 7221248 7235352 7282092 7485696 7529472 7578112 7637316 7746048 7806564 7947776 8060928 8076672 8123904 8176384 8240262 8404992 8454144 8470656 8525376 8575232 8714304 8871936 8941248 9068544 9139392 9198432 9252224 9510912 9572352 9591048 9647136 9709456 9980928 10039296 10058904 10183088 10328064 10348236 10408752 10768896 10831872 10853028 10923138 10987016 11206656 11294208 11367168 11455974 11619072 11709846 11829248 11921664 12091392 12185856 12264576 12360393 12607488 12681216 12763136 12788064 12862848 13307904 13385728 13411872 13602816 13770752 13797648 13878336 14266368 14358528 14442496 14470704 14564184 14971392 15058944 15156224 15274632 15492096 15613128 15895552 16153344 16247808 16352768 16384707 16480524 16809984 16941312 17050752 17150464 17183961 17428608 17743872 17882496 18137088 18278784 18396864 18504448 19021824 19144704 19182096 19294272 19418912 19961856 20078592 20117808 20366176 20656128 20696472 20817504 21537792 21663744 21706056 21846276 21974032 22588416 22734336 22911948 23238144 23419692 23658496 23843328 24182784 24371712 24529152 24720786 25214976 25362432 25526272 25576128 25725696 26094163 26615808 26771456 26823744 27205632 27541504 27595296 27756672 28532736 28717056 28884992 28941408 29128368 29942784 30117888 30312448 30549264 30984192 31226256 31791104 32306688 32495616 32705536 32769414 32961048 33619968 33882624 34101504 34300928 34367922 34857216 35487744 35764992 36274176 36557568 36793728 37008896 37081179 38043648 38289408 38364192 38588544 38837824 39923712 40157184 40235616 40732352 41312256 41392944 41635008 43075584 43327488 43412112 43692552 43948064 45176832 45468672 45823896 46476288 46839384 47686656 48743424 49058304 49154121 49441572 50429952 51052544 51152256 51451392 51551883 52188326 53231616 53542912 53647488 54411264 55083008 55190592 55513344 57065472 57434112 57769984 57882816 58256736 59885568 60235776 60624896 61098528 61968384 62452512 63582208 64613376 64991232 65411072 65538828 65922096 67765248 68203008 68601856 68735844 69714432 70975488 71529984 72548352 73115136 73587456 74017792 74162358 76087296 76578816 76728384 77177088 77675648 78282489 79847424 80314368 80471232 81464704 82624512 82785888 83270016 86151168 86654976 86824224 87385104 87896128 90353664 90937344 91647792 92952576 93678768 95373312 97486848 98116608 98308242 98883144 100859904 102304512 102902784 103103766 104376652 106463232 107294976 108822528 110166016 110381184 111026688 111243537 114130944 114868224 115539968 115765632 116513472 119771136 120471552 121249792 122197056 123936768 124905024 127164416 129226752 129982464 130822144 131077656 131844192 135530496 136406016 137203712 137471688 139428864 143059968 146230272 147174912 148035584 148324716 153157632 153456768 154354176 155351296 156564978 159694848 160628736 160942464 162929408 165249024 165571776 166540032 172302336 173309952 173648448 174770208 175792256 180707328 181874688 183295584 185905152 187357536 190746624 194973696 196233216 196616484 197766288 204609024 205805568 206207532 208753304 212926464 214589952 217645056 220762368 222053376 222487074 228261888 229736448 231531264 233026944 234847467 239542272 240943104 242499584 244394112 247873536 249810048 254328832 258453504 259964928 261644288 262155312 263688384 271060992 272812032 274407424 274943376 278857728 286119936 292460544 294349824 296071168 296649432 306913536 308708352 310702592 313129956 319389696 321884928 325858816 330498048 331143552 333080064 344604672 346619904 347296896 349540416 351584512 361414656 363749376 366591168 371810304 374715072 381493248 389947392 392466432 393232968 395532576 409218048 411611136 412415064 417506608 429179904 441524736 444106752 444974148 459472896 463062528 466053888 469694934 479084544 481886208 484999168 488788224 495747072 499620096 508657664 516907008 519929856 523288576 524310624 527376768 542121984 545624064 548814848 549886752 557715456 572239872 584921088 588699648 592142336 593298864 613827072 617416704 621405184 626259912 638779392 643769856 651717632 662287104 666160128 689209344 694593792 699080832 703169024 704542401 722829312 727498752 733182336 743620608 749430144 762986496 779894784 784932864 786465936 791065152 818436096 823222272 824830128 835013216 858359808 883049472 888213504 889948296 926125056 932107776 939389868 958169088 969998336 977576448 991494144 999240192 1017315328 1033814016 1039859712 1046577152 1048621248 1054753536 1084243968 1091248128 1097629696 1099773504 1115430912 1144479744 1169842176 1177399296 1184284672 1186597728 1227654144 1234833408 1242810368 1252519824 1287539712 1303435264 1324574208 1332320256 1378418688 1389187584 1398161664 1406338048 1409084802 1445658624 1454997504 1466364672 1487241216 1498860288 1525972992 1559789568 1569865728 1572931872 1582130304 1636872192 1646444544 1649660256 1670026432 1716719616 1766098944 1776427008 1779896592 1852250112 1864215552 1878779736 1916338176 1955152896 1998480384 2067628032 2093154304 2097242496 2109507072 2113627203 2168487936 2182496256 2195259392 2199547008 2230861824 2288959488 2339684352 2354798592 2368569344 2373195456 2455308288 2469666816 2485620736 2505039648 2575079424 2606870528 2649148416 2664640512 2778375168 2796323328 2812676096 2818169604 2909995008 2932729344 2974482432 2997720576 3051945984 3119579136 3139731456 3145863744 3164260608 3273744384 3292889088 3299320512 3340052864 3433439232 3532197888 3552854016 3559793184 3704500224 3728431104 3757559472 3910305792 3996960768 4135256064 4194484992 4219014144 4227254406 4336975872 4364992512 4399094016 4461723648 4577918976 4679368704 4709597184 4737138688 4746390912 4910616576 4939333632 4971241472 5010079296 5150158848 5213741056 5298296832 5329281024 5556750336 5592646656 5625352192 5636339208 5865458688 5995441152 6279462912 6291727488 6328521216 6547488768 6585778176 6598641024 6680105728 6866878464 7064395776 7105708032 7119586368 7409000448 7456862208 7515118944 7820611584 7993921536 8388969984 8438028288 8454508812 8729985024 8798188032 8923447296 9155837952 9358737408 9419194368 9492781824 9821233152 9878667264 9942482944 10020158592 10300317696 10427482112 10596593664 10658562048 11113500672 11185293312 11250704384 11272678416 11730917376 11990882304 12583454976 12657042432 13094977536 13197282048 13360211456 13733756928 14128791552 14211416064 14239172736 14818000896 14913724416 15030237888 15641223168 15987843072 16777939968 16876056576 16909017624 17596376064 18838388736 18985563648 19642466304 19757334528 19884965888 20040317184 20600635392 20854964224 21193187328 21317124096 22227001344 22370586624 22501408768 22545356832 23461834752 23981764608 25166909952 25314084864 26189955072 26394564096 26720422912 27467513856 28257583104 28478345472 29636001792 29827448832 30060475776 31282446336 31975686144 33555879936 33752113152 33818035248 35192752128 37971127296 39284932608 39769931776 40080634368 41201270784 41709928448 42386374656 42634248192 44454002688 44741173248 45002817536 45090713664 46923669504 47963529216 50333819904 50628169728 52789128192 53440845824 56515166208 56956690944 59272003584 59654897664 60120951552 62564892672 63951372288 67111759872 67504226304 67636070496 70385504256 75942254592 78569865216 80161268736 82402541568 84772749312 88908005376 89482346496 90005635072 90181427328 93847339008 95927058432 100667639808 101256339456 105578256384 106881691648 113913381888 119309795328 120241903104 125129785344 127902744576 134223519744 135008452608 135272140992 140771008512 151884509184 160322537472 169545498624 177816010752 178964692992 180362854656 187694678016 191854116864 201335279616 202512678912 211156512768 213763383296 227826763776 240483806208 268447039488 270016905216 270544281984 281542017024 303769018368 320645074944 357929385984 360725709312 375389356032 383708233728 402670559232 405025357824 422313025536 427526766592 455653527552 480967612416 536894078976 541088563968 563084034048 607538036736 641290149888 721451418624 805341118464 810050715648 844626051072 855053533184 911307055104 961935224832 1073788157952 1082177127936 1126168068096 1215076073472 1282580299776 1442902837248 1610682236928 1689252102144 1710107066368 1822614110208 1923870449664 2164354255872 2430152146944 2565160599552 2885805674496 3221364473856 3378504204288 3645228220416 3847740899328 4328708511744 5130321199104 5771611348992 7290456440832 7695481798656 8657417023488 11543222697984 15390963597312 17314834046976 23086445395968 34629668093952 46172890791936 69259336187904 138518672375808
- Sum of all divisors σ(n): 458094326211852
- Sum of proper divisors (its aliquot sum) s(n): 319575653836044
- 138518672375808 is an abundant number, because the sum of its proper divisors (319575653836044) is greater than itself. Its abundance is 181056981460236
Bases of 138518672375808
- Binary: 111110111111011011001000100001100000000000000002
- Hexadecimal: 0x7DFB64430000
- Base-36: 1D3MLL3400
Squares and roots of 138518672375808
- 138518672375808 squared (1385186723758082) is 19187422596756434315183652864
- 138518672375808 cubed (1385186723758083) is 2657816304416279700036311097950814823514112
-
The
square root of 138518672375808 is 11769395.5824336197 -
The
cube root of 138518672375808 is 51741.1535362659
Scales and comparisons
How big is 138518672375808?- 138,518,672,375,808 seconds is equal to 4,404,465 years, 16 weeks, 2 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 138,518,672,375,808 would take you about eleven million, eleven thousand, one hundred sixty-three 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 138518672375808 cubic inches would be around 4311.8 feet tall.
Recreational maths with 138518672375808
- 138518672375808 backwards is 808573276815831
- 138518672375808 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138518672375808's digits is 72
- More coming soon!
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"Number 138518672375808 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138518672375808 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138518672375808/
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The information we have on file for 138518672375808 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 138518672375808, math, Factors of 138518672375808, curriculum, school, college, exams, university, Prime factorization of 138518672375808, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred eighteen billion, six hundred seventy-two million, three hundred seventy-five thousand, eight hundred eight.