135442446662215680
135,442,446,662,215,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135442446662215680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
135442446662215680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 135442446662215680:
211 × 3 × 5 × 13 × 43 × 397 × 19866953
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 43 × 397 × 19866953)See below for interesting mathematical facts about the number 135442446662215680 from the Numbermatics database.
Names of 135442446662215680
- Cardinal: 135442446662215680 can be written as One hundred thirty-five quadrillion, four hundred forty-two trillion, four hundred forty-six billion, six hundred sixty-two million, two hundred fifteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3544244666221568 × 1017
Factors of 135442446662215680
Divisors of 135442446662215680
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 43 48 52 60 64 65 78 80 86 96 104 120 128 129 130 156 160 172 192 195 208 215 240 256 258 260 312 320 344 384 390 397 416 430 480 512 516 520 559 624 640 645 688 768 780 794 832 860 960 1024 1032 1040 1118 1191 1248 1280 1290 1376 1536 1560 1588 1664 1677 1720 1920 1985 2048 2064 2080 2236 2382 2496 2560 2580 2752 2795 3072 3120 3176 3328 3354 3440 3840 3970 4128 4160 4472 4764 4992 5120 5160 5161 5504 5590 5955 6144 6240 6352 6656 6708 6880 7680 7940 8256 8320 8385 8944 9528 9984 10240 10320 10322 11008 11180 11910 12480 12704 13312 13416 13760 15360 15483 15880 16512 16640 16770 17071 17888 19056 19968 20640 20644 22016 22360 23820 24960 25408 25805 26624 26832 27520 30720 30966 31760 33024 33280 33540 34142 35776 38112 39936 41280 41288 44032 44720 47640 49920 50816 51213 51610 53664 55040 61932 63520 66048 66560 67080 68284 71552 76224 77415 79872 82560 82576 85355 88064 89440 95280 99840 101632 102426 103220 107328 110080 123864 127040 132096 133120 134160 136568 143104 152448 154830 165120 165152 170710 178880 190560 199680 203264 204852 206440 214656 220160 221923 247728 254080 256065 264192 268320 273136 286208 304896 309660 330240 330304 341420 357760 381120 399360 406528 409704 412880 429312 440320 443846 495456 508160 512130 536640 546272 572416 609792 619320 660480 660608 665769 682840 715520 762240 813056 819408 825760 858624 887692 990912 1016320 1024260 1073280 1092544 1109615 1144832 1219584 1238640 1320960 1321216 1331538 1365680 1431040 1524480 1638816 1651520 1717248 1775384 1981824 2032640 2048520 2146560 2185088 2219230 2439168 2477280 2642432 2663076 2731360 2862080 3048960 3277632 3303040 3328845 3434496 3550768 3963648 4065280 4097040 4293120 4370176 4438460 4954560 5284864 5326152 5462720 5724160 6097920 6555264 6606080 6657690 7101536 7927296 8194080 8586240 8740352 8876920 9909120 10569728 10652304 10925440 12195840 13110528 13212160 13315380 14203072 15854592 16388160 17172480 17480704 17753840 19818240 19866953 21304608 21850880 26221056 26424320 26630760 28406144 31709184 32776320 34961408 35507680 39636480 39733906 42609216 43701760 52442112 52848640 53261520 56812288 59600859 65552640 71015360 79272960 79467812 85218432 87403520 99334765 104884224 106523040 113624576 119201718 131105280 142030720 158545920 158935624 170436864 174807040 198669530 213046080 227249152 238403436 258270389 262210560 284061440 298004295 317871248 340873728 397339060 426092160 454498304 476806872 516540778 524421120 568122880 596008590 635742496 681747456 774811167 794678120 852184320 854278979 953613744 1033081556 1136245760 1192017180 1271484992 1291351945 1363494912 1549622334 1589356240 1704368640 1708557958 1907227488 2066163112 2272491520 2384034360 2542969984 2562836937 2582703890 3099244668 3178712480 3408737280 3417115916 3814454976 3874055835 4132326224 4271394895 4768068720 5085939968 5125673874 5165407780 6198489336 6357424960 6817474560 6834231832 7628909952 7748111670 7887180341 8264652448 8542789790 9536137440 10171879936 10251347748 10330815560 11105626727 12396978672 12714849920 12814184685 13668463664 15257819904 15496223340 15774360682 16529304896 17085579580 19072274880 20343759872 20502695496 20661631120 22211253454 23661541023 24793957344 25429699840 25628369370 27336927328 30515639808 30992446680 31548721364 33058609792 33316880181 34171159160 38144549760 39435901705 40687519744 41005390992 41323262240 44422506908 47323082046 49587914688 50859399680 51256738740 54673854656 55528133635 61031279616 61984893360 63097442728 66117219584 66633760362 68342318320 76289099520 78871803410 82010781984 82646524480 88845013816 94646164092 99175829376 101718799360 102513477480 102533344433 109347709312 111056267270 118307705115 122062559232 123969786720 126194885456 132234439168 133267520724 136684636640 152578199040 157743606820 164021563968 165293048960 166584400905 177690027632 189292328184 198351658752 203437598720 205026954960 205066688866 218695418624 222112534540 236615410230 247939573440 252389770912 264468878336 266535041448 273369273280 305156398080 307600033299 315487213640 328043127936 330586097920 333168801810 339148754663 355380055264 378584656368 396703317504 410053909920 410133377732 437390837248 444225069080 473230820460 495879146880 504779541824 512666722165 528937756672 533070082896 546738546560 610312796160 615200066598 630974427280 656086255872 661172195840 666337603620 678297509326 710760110528 757169312736 793406635008 820107819840 820266755464 874781674496 888450138160 946461640920 991758293760 1009559083648 1017446263989 1025333444330 1066140165792 1093477093120 1230400133196 1261948854560 1312172511744 1322344391680 1332675207240 1356595018652 1421520221056 1514338625472 1538000166495 1586813270016 1640215639680 1640533510928 1695743773315 1749563348992 1776900276320 1892923281840 1983516587520 2019118167296 2034892527978 2050666888660 2132280331584 2186954186240 2460800266392 2523897709120 2624345023488 2644688783360 2665350414480 2713190037304 2843040442112 3028677250944 3076000332990 3280431279360 3281067021856 3391487546630 3553800552640 3785846563680 3967033175040 4038236334592 4069785055956 4101333777320 4264560663168 4373908372480 4408933810619 4921600532784 5047795418240 5087231319945 5248690046976 5330700828960 5426380074608 5686080884224 6057354501888 6152000665980 6560862558720 6562134043712 6782975093260 7107601105280 7571693127360 7934066350080 8076472669184 8139570111912 8202667554640 8529121326336 8747816744960 8817867621238 9843201065568 10095590836480 10174462639890 10661401657920 10852760149216 11372161768448 12114709003776 12304001331960 13121725117440 13124268087424 13226801431857 13565950186520 14215202210560 15143386254720 16152945338368 16279140223824 16405335109280 17058242652672 17635735242476 19686402131136 20191181672960 20348925279780 21322803315840 21705520298432 22044669053095 22744323536896 24229418007552 24608002663920 26243450234880 26248536174848 26453602863714 27131900373040 28430404421120 30286772509440 32558280447648 32810670218560 34116485305344 35271470484952 39372804262272 40382363345920 40697850559560 42645606631680 43411040596864 44089338106190 48458836015104 49216005327840 52497072349696 52907205727428 54263800746080 56860808842240 60573545018880 65116560895296 65621340437120 66134007159285 68232970610688 70542940969904 78745608524544 80764726691840 81395701119120 85291213263360 86822081193728 88178676212380 98432010655680 104994144699392 105814411454856 108527601492160 113721617684480 121147090037760 130233121790592 131242680874240 132268014318570 141085881939808 157491217049088 162791402238240 170582426526720 173644162387456 176357352424760 196864021311360 209988289398784 211628822909712 217055202984320 242294180075520 260466243581184 262485361748480 264536028637140 282171763879616 314982434098176 325582804476480 341164853053440 347288324774912 352714704849520 393728042622720 423257645819424 434110405968640 520932487162368 524970723496960 529072057274280 564343527759232 629964868196352 651165608952960 694576649549824 705429409699040 787456085245440 846515291638848 868220811937280 1041864974324736 1049941446993920 1058144114548560 1128687055518464 1302331217905920 1410858819398080 1574912170490880 1693030583277696 1736441623874560 2083729948649472 2116288229097120 2257374111036928 2604662435811840 2821717638796160 3149824340981760 3386061166555392 3472883247749120 4232576458194240 4514748222073856 5209324871623680 5643435277592320 6772122333110784 8465152916388480 9029496444147712 10418649743247360 11286870555184640 13544244666221568 16930305832776960 22573741110369280 27088489332443136 33860611665553920 45147482220738560 67721223331107840 135442446662215680
- Sum of all divisors σ(n): 478696462656572160
- Sum of proper divisors (its aliquot sum) s(n): 343254015994356480
- 135442446662215680 is an abundant number, because the sum of its proper divisors (343254015994356480) is greater than itself. Its abundance is 207811569332140800
Bases of 135442446662215680
- Binary: 1111000010011000000110000000010001100111110101000000000002
- Hexadecimal: 0x1E1303008CFA800
- Base-36: 111MC90QCA2O
Squares and roots of 135442446662215680
- 135442446662215680 squared (1354424466622156802) is 18344656357847139396036166837862400
- 135442446662215680 cubed (1354424466622156803) is 2484645140284386938280167892185048394558898962432000
-
The
square root of 135442446662215680 is 368025062.5463103973 -
The
cube root of 135442446662215680 is 513552.5974290307
Scales and comparisons
How big is 135442446662215680?- 135,442,446,662,215,680 seconds is equal to 4,306,650,852 years, 44 weeks, 6 days, 7 hours, 28 minutes.
-
To count from 1 to 135,442,446,662,215,680 would take you about twelve billion, nine hundred nineteen million, nine hundred fifty-two thousand, five hundred fifty-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 135442446662215680 cubic inches would be around 42796 feet tall.
Recreational maths with 135442446662215680
- 135442446662215680 backwards is 086512266644244531
- The number of decimal digits it has is: 18
- The sum of 135442446662215680's digits is 69
- More coming soon!
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The information we have on file for 135442446662215680 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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