136946956612976640
136,946,956,612,976,640 is an even composite number composed of five prime numbers multiplied together.
136946956612976640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 136946956612976640:
214 × 34 × 5 × 133 × 2113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 211 × 211 × 211)See below for interesting mathematical facts about the number 136946956612976640 from the Numbermatics database.
Names of 136946956612976640
- Cardinal: 136946956612976640 can be written as One hundred thirty-six quadrillion, nine hundred forty-six trillion, nine hundred fifty-six billion, six hundred twelve million, nine hundred seventy-six thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3694695661297664 × 1017
Factors of 136946956612976640
Divisors of 136946956612976640
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 81 90 96 104 108 117 120 128 130 135 144 156 160 162 169 180 192 195 208 211 216 234 240 256 260 270 288 312 320 324 338 351 360 384 390 405 416 422 432 468 480 507 512 520 540 576 585 624 633 640 648 676 702 720 768 780 810 832 844 845 864 936 960 1014 1024 1040 1053 1055 1080 1152 1170 1248 1266 1280 1296 1352 1404 1440 1521 1536 1560 1620 1664 1688 1690 1728 1755 1872 1899 1920 2028 2048 2080 2106 2110 2160 2197 2304 2340 2496 2532 2535 2560 2592 2704 2743 2808 2880 3042 3072 3120 3165 3240 3328 3376 3380 3456 3510 3744 3798 3840 4056 4096 4160 4212 4220 4320 4394 4563 4608 4680 4992 5064 5070 5120 5184 5265 5408 5486 5616 5697 5760 6084 6144 6240 6330 6480 6591 6656 6752 6760 6912 7020 7488 7596 7605 7680 8112 8192 8229 8320 8424 8440 8640 8788 9126 9216 9360 9495 9984 10128 10140 10240 10368 10530 10816 10972 10985 11232 11394 11520 12168 12288 12480 12660 12960 13182 13312 13504 13520 13689 13715 13824 14040 14976 15192 15210 15360 16224 16384 16458 16640 16848 16880 17091 17280 17576 18252 18432 18720 18990 19773 19968 20256 20280 20480 20736 21060 21632 21944 21970 22464 22788 22815 23040 24336 24576 24687 24960 25320 25920 26364 26624 27008 27040 27378 27430 27648 28080 28485 29952 30384 30420 30720 32448 32916 32955 33280 33696 33760 34182 34560 35152 35659 36504 36864 37440 37980 39546 39936 40512 40560 40960 41145 41472 42120 43264 43888 43940 44521 44928 45576 45630 46080 48672 49152 49374 49920 50640 51840 52728 53248 54016 54080 54756 54860 55296 56160 56970 59319 59904 60768 60840 61440 64896 65832 65910 66560 67392 67520 68364 68445 69120 70304 71318 73008 73728 74061 74880 75960 79092 79872 81024 81120 81920 82290 82944 84240 85455 86528 87776 87880 89042 89856 91152 91260 92160 97344 98748 98865 99840 101280 103680 105456 106496 106977 108032 108160 109512 109720 110592 112320 113940 118638 119808 121536 121680 122880 123435 129792 131664 131820 133120 133563 134784 135040 136728 136890 138240 140608 142636 146016 147456 148122 149760 151920 158184 159744 162048 162240 164580 165888 168480 170910 173056 175552 175760 177957 178084 178295 179712 182304 182520 184320 194688 197496 197730 199680 202560 207360 210912 212992 213954 216064 216320 219024 219440 221184 222183 222605 224640 227880 237276 239616 243072 243360 245760 246870 259584 263328 263640 266240 267126 269568 270080 273456 273780 276480 281216 285272 292032 296244 296595 299520 303840 316368 319488 320931 324096 324480 329160 331776 336960 341820 346112 351104 351520 355914 356168 356590 359424 364608 365040 368640 370305 389376 394992 395460 399360 400689 405120 414720 421824 427908 432128 432640 438048 438880 442368 444366 445210 449280 455760 463567 474552 479232 486144 486720 493740 519168 526656 527280 532480 534252 534885 539136 540160 546912 547560 552960 562432 570544 578773 584064 592488 593190 599040 607680 632736 638976 641862 648192 648960 658320 663552 667815 673920 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4877028369408 4953231937680 4992597762048 5002080378880 5064606383616 5070607102080 5143740858360 5194468085760 5283447400192 5408647575552 5486656915584 5547330846720 5572385929890 5627340426240 5943878325216 6002496454656 6009608417280 6096285461760 6233361702912 6240747202560 6330757979520 6502704492544 6604309250240 6686863115868 6752808511488 6760809469440 6858321144480 6925957447680 7211530100736 7315542554112 7429847906520 7503120568320 7791702128640 7925171100288 8012811223040 8112971363328 8128380615680 8229985373376 8320996270080 8358578894835 8441010639360 8915817487824 9003744681984 9014412625920 9144428192640 9754056738816 9906463875360 9985195524096 10004160757760 10129212767232 10141214204160 10287481716720 10388936171520 10566894800384 10817295151104 10973313831168 11144771859780 11254680852480 11887756650432 12019216834560 12192570923520 12466723405824 12481494405120 12661515959040 13005408985088 13208618500480 13373726231736 13505617022976 13521618938880 13716642288960 14423060201472 14631085108224 14859695813040 15006241136640 15583404257280 15850342200576 16225942726656 16256761231360 16459970746752 16641992540160 16717157789670 16882021278720 17831634975648 18007489363968 18028825251840 18288856385280 19508113477632 19812927750720 20258425534464 20282428408320 20574963433440 20777872343040 21133789600768 21634590302208 21946627662336 22289543719560 22509361704960 23775513300864 24038433669120 24385141847040 24962988810240 25323031918080 26010817970176 26417237000960 26747452463472 27011234045952 27043237877760 27433284577920 29262170216448 29719391626080 30012482273280 31166808514560 31700684401152 32451885453312 32513522462720 32919941493504 33434315579340 33764042557440 35663269951296 36057650503680 36577712770560 39016226955264 39625855501440 40516851068928 40564856816640 41149926866880 42267579201536 43269180604416 43893255324672 44579087439120 45018723409920 47551026601728 48770283694080 49925977620480 50646063836160 52834474001920 53494904926944 54022468091904 54086475755520 54866569155840 58524340432896 59438783252160 62333617029120 63401368802304 64903770906624 65027044925440 65839882987008 66868631158680 67528085114880 71326539902592 72115301007360 73155425541120 78032453910528 79251711002880 81033702137856 81129713633280 82299853733760 84535158403072 87786510649344 89158174878240 90037446819840 95102053203456 97540567388160 101292127672320 105668948003840 106989809853888 108172951511040 109733138311680 117048680865792 118877566504320 126802737604608 129807541813248 130054089850880 131679765974016 133737262317360 135056170229760 142653079805184 146310851082240 158503422005760 162067404275712 162259427266560 164599707467520 169070316806144 175573021298688 178316349756480 190204106406912 195081134776320 202584255344640 211337896007680 213979619707776 216345903022080 219466276623360 234097361731584 237755133008640 253605475209216 263359531948032 267474524634720 270112340459520 285306159610368 292621702164480 317006844011520 324518854533120 329199414935040 338140633612288 351146042597376 356632699512960 380408212813824 390162269552640 405168510689280 422675792015360 427959239415552 438932553246720 475510266017280 507210950418432 526719063896064 534949049269440 570612319220736 585243404328960 634013688023040 649037709066240 658398829870080 702292085194752 713265399025920 760816425627648 810337021378560 845351584030720 855918478831104 877865106493440 951020532034560 1014421900836864 1053438127792128 1069898098538880 1141224638441472 1170486808657920 1268027376046080 1316797659740160 1426530798051840 1521632851255296 1690703168061440 1711836957662208 1755730212986880 1902041064069120 2106876255584256 2139796197077760 2282449276882944 2536054752092160 2633595319480320 2853061596103680 3043265702510592 3423673915324416 3511460425973760 3804082128138240 4279592394155520 4564898553765888 5072109504184320 5267190638960640 5706123192207360 6847347830648832 7608164256276480 8559184788311040 9129797107531776 10534381277921280 11412246384414720 13694695661297664 15216328512552960 17118369576622080 22824492768829440 27389391322595328 34236739153244160 45648985537658880 68473478306488320 136946956612976640
- Sum of all divisors σ(n): 534393030077269440
- Sum of proper divisors (its aliquot sum) s(n): 397446073464292800
- 136946956612976640 is an abundant number, because the sum of its proper divisors (397446073464292800) is greater than itself. Its abundance is 260499116851316160
Bases of 136946956612976640
- Binary: 1111001101000100010001000000011011111110011000000000000002
- Hexadecimal: 0x1E688880DFCC000
- Base-36: 11GFN7CLQ800
Squares and roots of 136946956612976640
- 136946956612976640 squared (1369469566129766402) is 18754468925556506269956041185689600
- 136946956612976640 cubed (1369469566129766403) is 2568367442247605486637431437687408554563227090944000
-
The
square root of 136946956612976640 is 370063449.4420877551 -
The
cube root of 136946956612976640 is 515447.1331068573
Scales and comparisons
How big is 136946956612976640?- 136,946,956,612,976,640 seconds is equal to 4,354,489,615 years, 28 weeks, 1 day, 14 hours, 24 minutes.
-
To count from 1 to 136,946,956,612,976,640 would take you about thirteen billion, sixty-three million, four hundred sixty-eight thousand, eight hundred forty-six 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 136946956612976640 cubic inches would be around 42953.9 feet tall.
Recreational maths with 136946956612976640
- 136946956612976640 backwards is 046679216659649631
- 136946956612976640 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 136946956612976640's digits is 90
- More coming soon!
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"Number 136946956612976640 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 136946956612976640 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/136946956612976640/
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The information we have on file for 136946956612976640 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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