138044706147942400
138,044,706,147,942,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138044706147942400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1215 divisors.
138044706147942400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred fifteen divisors.
Prime factorization of 138044706147942400:
214 × 52 × 312 × 612 × 3072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 31 × 31 × 61 × 61 × 307 × 307)See below for interesting mathematical facts about the number 138044706147942400 from the Numbermatics database.
Names of 138044706147942400
- Cardinal: 138044706147942400 can be written as One hundred thirty-eight quadrillion, forty-four trillion, seven hundred six billion, one hundred forty-seven million, nine hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.380447061479424 × 1017
Factors of 138044706147942400
Divisors of 138044706147942400
- Number of divisors d(n): 1215
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 61 62 64 80 100 122 124 128 155 160 200 244 248 256 305 307 310 320 400 488 496 512 610 614 620 640 775 800 961 976 992 1024 1220 1228 1240 1280 1525 1535 1550 1600 1891 1922 1952 1984 2048 2440 2456 2480 2560 3050 3070 3100 3200 3721 3782 3844 3904 3968 4096 4805 4880 4912 4960 5120 6100 6140 6200 6400 7442 7564 7675 7688 7808 7936 8192 9455 9517 9610 9760 9824 9920 10240 12200 12280 12400 12800 14884 15128 15350 15376 15616 15872 16384 18605 18727 18910 19034 19220 19520 19648 19840 20480 24025 24400 24560 24800 25600 29768 30256 30700 30752 31232 31744 37210 37454 37820 38068 38440 39040 39296 39680 40960 47275 47585 48050 48800 49120 49600 51200 58621 59536 60512 61400 61504 62464 63488 74420 74908 75640 76136 76880 78080 78592 79360 81920 93025 93635 94249 94550 95170 96100 97600 98240 99200 102400 115351 117242 119072 121024 122800 123008 124928 126976 148840 149816 151280 152272 153760 156160 157184 158720 186050 187270 188498 189100 190340 192200 195200 196480 198400 204800 230702 234484 237925 238144 242048 245600 246016 249856 253952 293105 295027 297680 299632 302560 304544 307520 312320 314368 317440 372100 374540 376996 378200 380680 384400 390400 392960 396800 409600 461404 468175 468968 471245 475850 476288 484096 491200 492032 499712 507904 576755 580537 586210 590054 595360 599264 605120 609088 615040 624640 628736 634880 744200 749080 753992 756400 761360 768800 780800 785920 793600 922808 936350 937936 942490 951700 952576 968192 982400 984064 999424 1142347 1153510 1161074 1172420 1180108 1190720 1198528 1210240 1218176 1230080 1249280 1257472 1269760 1465525 1475135 1488400 1498160 1507984 1512800 1522720 1537600 1561600 1571840 1587200 1845616 1872700 1875872 1884980 1903400 1905152 1936384 1964800 1968128 2284694 2307020 2322148 2344840 2356225 2360216 2381440 2397056 2420480 2436352 2460160 2498560 2514944 2539520 2883775 2902685 2921719 2931050 2950270 2976800 2996320 3015968 3025600 3045440 3075200 3123200 3143680 3174400 3575881 3691232 3745400 3751744 3769960 3806800 3810304 3872768 3929600 3936256 4569388 4614040 4644296 4689680 4712450 4720432 4762880 4794112 4840960 4872704 4920320 4997120 5029888 5711735 5749189 5767550 5805370 5843438 5862100 5900540 5953600 5992640 6031936 6051200 6090880 6150400 6246400 6287360 6348800 7151762 7375675 7382464 7490800 7503488 7539920 7613600 7620608 7745536 7859200 7872512 9138776 9228080 9288592 9379360 9424900 9440864 9525760 9588224 9681920 9745408 9840640 11423470 11498378 11535100 11610740 11686876 11724200 11801080 11907200 11985280 12063872 12102400 12181760 12300800 12492800 12574720 12697600 14303524 14513425 14608595 14751350 14764928 14981600 15006976 15079840 15227200 15241216 15491072 15718400 15745024 17879405 17996647 18277552 18456160 18577184 18758720 18849800 18881728 19051520 19176448 19363840 19490816 19681280 22846940 22996756 23070200 23221480 23373752 23448400 23602160 23814400 23970560 24127744 24204800 24363520 24601600 24985600 25149440 28558675 28607048 28745945 29026850 29217190 29502700 29529856 29963200 30013952 30159680 30454400 30482432 30982144 31436800 35412757 35758810 35993294 36555104 36912320 37154368 37517440 37699600 37763456 38103040 38352896 38727680 38981632 39362560 45693880 45993512 46140400 46442960 46747504 46896800 47204320 47628800 47941120 48255488 48409600 48727040 49203200 57117350 57214096 57491890 58053700 58434380 59005400 59059712 59926400 60027904 60319360 60908800 60964864 62873600 70825514 71517620 71986588 73042975 73110208 73824640 74308736 75034880 75399200 75526912 76206080 76705792 77455360 77963264 78725120 89397025 89983235 90573289 91387760 91987024 92280800 92885920 93495008 93793600 94408640 95257600 95882240 96510976 96819200 97454080 98406400 114234700 114428192 114983780 116107400 116868760 118010800 118119424 119852800 120055808 120638720 121817600 125747200 141651028 143035240 143729725 143973176 146085950 146220416 147649280 148617472 150069760 150798400 151053824 152412160 153411584 154910720 155926528 177063785 178224859 178794050 179966470 181146578 182775520 183974048 184561600 185771840 186990016 187587200 188817280 190515200 191764480 193021952 193638400 194908160 196812800 228469400 228856384 229967560 232214800 233737520 236021600 236238848 239705600 240111616 241277440 243635200 283302056 286070480 287459450 287946352 292171900 292440832 295298560 297234944 300139520 301596800 302107648 304824320 306823168 350700529 354127570 356449718 357588100 359932940 362293156 365551040 367948096 369123200 371543680 373980032 375174400 377634560 381030400 383528960 386043904 387276800 389816320 393625600 449916175 452866445 456938800 457712768 459935120 464429600 467475040 472043200 472477696 479411200 480223232 482554880 487270400 566604112 572140960 574918900 575892704 584343800 584881664 590597120 594469888 600279040 603193600 604215296 701401058 708255140 712899436 715176200 719865880 724586312 731102080 735896192 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3021076480 3507005290 3541275700 3564497180 3599329400 3622931560 3655510400 3661702144 3679480960 3715436800 3739800320 3776345600 3835289600 3860439040 3898163200 4391181868 4455621475 4528664450 4532832896 4577127680 4599351200 4607141632 4674750400 4679053312 4724776960 4755759104 4802232320 4825548800 4833722368 5488977335 5524970629 5611208464 5666041120 5703195488 5721409600 5758927040 5796690496 5848816640 5887169536 5905971200 5944698880 5983680512 6002790400 6042152960 7014010580 7082551400 7128994360 7198658800 7245863120 7311020800 7323404288 7358961920 7430873600 7479600640 7552691200 7670579200 7720878080 8767513225 8782363736 8911242950 9057328900 9065665792 9154255360 9198702400 9214283264 9349500800 9358106624 9449553920 9511518208 9651097600 10871716399 10977954670 11049941258 11222416928 11332082240 11406390976 11442819200 11517854080 11593380992 11697633280 11774339072 11811942400 11889397760 11967361024 12005580800 12084305920 14028021160 14165102800 14257988720 14397317600 14491726240 14622041600 14646808576 14717923840 14861747200 14959201280 15105382400 17535026450 17564727472 17822485900 18114657800 18131331584 18308510720 18397404800 18428566528 18699001600 18716213248 19302195200 21743432798 21955909340 22099882516 22444833856 22664164480 22812781952 22885638400 23035708160 23186761984 23395266560 23548678144 23623884800 23778795520 23934722048 24011161600 24168611840 27444886675 27624853145 28056042320 28330205600 28515977440 28794635200 28983452480 29244083200 29293617152 29435847680 29723494400 29918402560 30210764800 35070052900 35129454944 35644971800 36229315600 36262663168 36617021440 36794809600 36857133056 37398003200 38604390400 43486865596 43911818680 44199765032 44889667712 45328328960 45625563904 45771276800 46071416320 46373523968 46790533120 47097356288 47247769600 47557591040 47869444096 54358581995 54889773350 55249706290 56112084640 56660411200 57031954880 57589270400 57966904960 58488166400 58587234304 58871695360 59446988800 59836805120 60421529600 70140105800 70258909888 71289943600 72458631200 72525326336 73234042880 73589619200 73714266112 74796006400 86973731192 87823637360 88399530064 89779335424 90656657920 91251127808 91542553600 92142832640 92747047936 93581066240 94194712576 108717163990 109779546700 110499412580 112224169280 113320822400 114063909760 115178540800 115933809920 116976332800 117743390720 118893977600 119673610240 120843059200 138124265725 140280211600 140517819776 142579887200 144917262400 145050652672 146468085760 147179238400 147428532224 149592012800 173947462384 175647274720 176799060128 179558670848 181313315840 182502255616 183085107200 184285665280 185494095872 217434327980 219559093400 220998825160 224448338560 226641644800 228127819520 230357081600 231867619840 233952665600 235486781440 237787955200 239347220480 271792909975 276248531450 280560423200 281035639552 285159774400 289834524800 290101305344 292936171520 294358476800 294857064448 299184025600 337023208369 347894924768 351294549440 353598120256 359117341696 362626631680 365004511232 366170214400 368571330560 370988191744 434868655960 439118186800 441997650320 448896677120 453283289600 456255639040 460714163200 463735239680 467905331200 470973562880 543585819950 552497062900 561120846400 562071279104 570319548800 579669049600 580202610688 588716953600 598368051200 674046416738 695789849536 702589098880 707196240512 718234683392 725253263360 730009022464 732340428800 737142661120 741976383488 869737311920 878236373600 883995300640 897793354240 906566579200 912511278080 921428326400 927470479360 1087171639900 1104994125800 1122241692800 1124142558208 1140639097600 1159338099200 1177433907200 1196736102400 1348092833476 1391579699072 1405178197760 1414392481024 1436469366784 1450506526720 1460018044928 1464680857600 1474285322240 1483952766976 1685116041845 1739474623840 1756472747200 1767990601280 1795586708480 1813133158400 1825022556160 1842856652800 1854940958720 2174343279800 2209988251600 2244483385600 2248285116416 2281278195200 2318676198400 2354867814400 2696185666952 2783159398144 2810356395520 2828784962048 2872938733568 2901013053440 2920036089856 3370232083690 3478949247680 3512945494400 3535981202560 3591173416960 3626266316800 3650045112320 3685713305600 3709881917440 4348686559600 4419976503200 4488966771200 4496570232832 4562556390400 4637352396800 5392371333904 5566318796288 5620712791040 5657569924096 5745877467136 6740464167380 6957898495360 7025890988800 7071962405120 7182346833920 7252532633600 7300090224640 7371426611200 7419763834880 8425580209225 8697373119200 8839953006400 8977933542400 8993140465664 9125112780800 9274704793600 10784742667808 11132637592576 11241425582080 11315139848192 13480928334760 13915796990720 14051781977600 14143924810240 14364693667840 14505065267200 14600180449280 16851160418450 17394746238400 17679906012800 17955867084800 17986280931328 18250225561600 18549409587200 21569485335616 22265275185152 22482851164160 22630279696384 26961856669520 27831593981440 28103563955200 28287849620480 28729387335680 33702320836900 34789492476800 35359812025600 35911734169600 36500451123200 37098819174400 43138970671232 44530550370304 44965702328320 45260559392768 53923713339040 55663187962880 56207127910400 56575699240960 67404641673800 69578984953600 70719624051200 71823468339200 73000902246400 86277941342464 89061100740608 89931404656640 90521118785536 107847426678080 111326375925760 112414255820800 113151398481920 134809283347600 139157969907200 141439248102400 143646936678400 172555882684928 178122201481216 215694853356160 222652751851520 224828511641600 226302796963840 269618566695200 278315939814400 282878496204800 345111765369856 431389706712320 445305503703040 449657023283200 452605593927680 539237133390400 556631879628800 565756992409600 690223530739712 862779413424640 890611007406080 1078474266780800 1113263759257600 1131513984819200 1380447061479424 1725558826849280 2156948533561600 2226527518515200 2263027969638400 2760894122958848 3451117653698560 4313897067123200 4453055037030400 5521788245917696 6902235307397120 8627794134246400 13804470614794240 17255588268492800 27608941229588480 34511176536985600 69022353073971200 138044706147942400
- Sum of all divisors σ(n): 360809239004068491
- Sum of proper divisors (its aliquot sum) s(n): 222764532856126091
- 138044706147942400 is an abundant number, because the sum of its proper divisors (222764532856126091) is greater than itself. Its abundance is 84719826708183691
Bases of 138044706147942400
- Binary: 1111010100110111011101101110010010001001001000000000000002
- Hexadecimal: 0x1EA6EEDC9124000
- Base-36: 11R8RIIVSKXS
Squares and roots of 138044706147942400
- 138044706147942400 squared (1380447061479424002) is 19056340895471766247755753717760000
- 138044706147942400 cubed (1380447061479424003) is 2630626979170417510266408412708566997374337024000000
-
138044706147942400 is a
perfect square number . Itssquare root is 371543680 -
The
cube root of 138044706147942400 is 516820.7225187223
Scales and comparisons
How big is 138044706147942400?- 138,044,706,147,942,400 seconds is equal to 4,389,394,655 years, 10 weeks, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 138,044,706,147,942,400 would take you about thirteen billion, one hundred sixty-eight million, one hundred eighty-three thousand, nine 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 138044706147942400 cubic inches would be around 43068.4 feet tall.
Recreational maths with 138044706147942400
- 138044706147942400 backwards is 004249741607440831
- 138044706147942400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138044706147942400's digits is 64
- More coming soon!
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"Number 138044706147942400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 138044706147942400 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/138044706147942400/
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The information we have on file for 138044706147942400 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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