132946814945152000
132,946,814,945,152,000 is an even composite number composed of five prime numbers multiplied together.
132946814945152000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 132946814945152000:
210 × 53 × 13 × 593 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 59 × 59 × 59 × 73 × 73 × 73)See below for interesting mathematical facts about the number 132946814945152000 from the Numbermatics database.
Names of 132946814945152000
- Cardinal: 132946814945152000 can be written as One hundred thirty-two quadrillion, nine hundred forty-six trillion, eight hundred fourteen billion, nine hundred forty-five million, one hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.32946814945152 × 1017
Factors of 132946814945152000
Divisors of 132946814945152000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 59 64 65 73 80 100 104 118 125 128 130 146 160 200 208 236 250 256 260 292 295 320 325 365 400 416 472 500 512 520 584 590 640 650 730 767 800 832 944 949 1000 1024 1040 1168 1180 1280 1300 1460 1475 1534 1600 1625 1664 1825 1888 1898 2000 2080 2336 2360 2560 2600 2920 2950 3068 3200 3250 3328 3481 3650 3776 3796 3835 4000 4160 4307 4672 4720 4745 5120 5200 5329 5840 5900 6136 6400 6500 6656 6962 7300 7375 7552 7592 7670 8000 8320 8614 9125 9344 9440 9490 10400 10658 11680 11800 12272 12800 13000 13312 13924 14600 14750 15104 15184 15340 16000 16640 17228 17405 18250 18688 18880 18980 19175 20800 21316 21535 23360 23600 23725 24544 25600 26000 26645 27848 29200 29500 30208 30368 30680 32000 33280 34456 34810 36500 37376 37760 37960 38350 41600 42632 43070 45253 46720 47200 47450 49088 52000 53290 55696 55991 58400 59000 60416 60736 61360 64000 66560 68912 69277 69620 73000 74752 75520 75920 76700 83200 85264 86140 87025 90506 93440 94400 94900 95875 98176 104000 106580 107675 111392 111982 116800 118000 118625 121472 122720 128000 133225 137824 138554 139240 146000 151040 151840 153400 166400 170528 172280 174050 181012 186880 188800 189800 191750 196352 205379 208000 213160 215350 222784 223964 226265 233600 236000 237250 242944 245440 254113 266450 275648 277108 278480 279955 292000 302080 303680 306800 314411 332800 341056 344560 346385 348100 362024 373760 377600 379600 383500 389017 392704 410758 416000 426320 430700 435125 445568 447928 452530 467200 472000 474500 485888 490880 508226 532900 538375 551296 554216 556960 559910 584000 607360 613600 628822 666125 682112 689120 692770 696200 724048 755200 759200 767000 778034 785408 821516 832000 852640 861400 870250 891136 895856 905060 934400 944000 949000 971776 981760 1016452 1026895 1065800 1076750 1102592 1108432 1113920 1119820 1131325 1168000 1214720 1227200 1257644 1270565 1332250 1364224 1378240 1385540 1392400 1399775 1448096 1510400 1518400 1534000 1556068 1572055 1643032 1664000 1705280 1722800 1731925 1740500 1782272 1791712 1810120 1868800 1888000 1898000 1945085 1963520 2032904 2053790 2131600 2153500 2205184 2216864 2227840 2239640 2262650 2336000 2429440 2454400 2515288 2541130 2664500 2669927 2728448 2756480 2771080 2784800 2799550 2896192 3036800 3068000 3112136 3144110 3286064 3303469 3410560 3445600 3463850 3481000 3564544 3583424 3620240 3776000 3796000 3890170 3927040 4065808 4087343 4107580 4263200 4307000 4410368 4433728 4455680 4479280 4525300 4672000 4858880 4908800 5030576 5057221 5082260 5134475 5329000 5339854 5456896 5512960 5542160 5569600 5599100 5656625 5792384 6073600 6136000 6224272 6288220 6352825 6572128 6606938 6821120 6891200 6927700 6962000 6998875 7166848 7240480 7552000 7592000 7780340 7860275 8131616 8174686 8215160 8526400 8614000 8659625 8867456 8911360 8958560 9050600 9344000 9725425 9817600 10061152 10114442 10164520 10268950 10658000 10679708 11025920 11084320 11139200 11198200 11313250 11584768 12147200 12272000 12448544 12576440 12705650 13144256 13213876 13349635 13642240 13782400 13855400 13924000 13997750 14333696 14480960 14992667 15184000 15560680 15720550 16263232 16349372 16430320 16517345 17052800 17228000 17319250 17734912 17822720 17917120 18101200 18550249 19450850 19635200 20122304 20228884 20329040 20436715 20537900 21316000 21359416 22051840 22168640 22278400 22396400 22626500 22952003 23169536 24294400 24544000 24897088 25152880 25286105 25411300 25672375 26288512 26427752 26699270 27284480 27564800 27710800 27848000 27995500 28667392 28961920 29985334 30368000 31121360 31441100 31764125 32526464 32698744 32860640 33034690 34105600 34456000 34638500 35469824 35834240 36202400 37100498 38901700 39301375 40244608 40457768 40658080 40873430 41075800 42632000 42718832 44337280 44556800 44792800 45253000 45904006 46339072 48627125 49088000 49794176 50305760 50572210 50822600 51344750 52577024 52855504 53398540 55129600 55421600 55696000 55991000 57334784 57923840 59970668 60736000 62242720 62882200 63528250 65052928 65397488 65721280 66069380 66748175 68211200 68912000 69277000 70939648 71668480 72404800 74200996 74963335 77803400 78602750 80489216 80915536 81316160 81746860 82151600 82586725 85264000 85437664 88674560 89113600 89585600 90506000 91808012 92751245 97254250 98176000 99588352 100611520 101144420 101645200 102183575 102689500 105154048 105711008 106797080 110259200 110843200 111392000 111982000 114760015 115847680 119941336 121472000 124485440 125764400 126430525 127056500 130105856 130794976 131442560 132138760 133496350 136422400 137824000 138554000 143336960 144809600 148401992 149926670 155606800 157205500 160978432 161831072 162632320 163493720 164303200 165173450 170528000 170875328 177349120 179171200 181012000 183616024 185502490 194508500 194904671 199176704 201223040 202288840 203290400 204367150 205379000 210308096 211422016 213594160 221686400 222784000 223964000 229520030 231695360 239882672 241153237 248970880 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3417506560 3583424000 3672320480 3710049800 3748166750 3838122752 3858451792 3898093420 4024460800 4045776800 4065808000 4087343000 4185439232 4228440320 4271883200 4377858764 4433728000 4590400600 4637562250 4748863744 4774016624 4797653440 4823064740 4872616775 4979417600 5030576000 5057221000 5178594304 5231799040 5257702400 5285550400 5339854000 5416672708 5472323455 5738000750 5792384000 5875712768 5936079680 5967520780 5997066800 6028830925 6224272000 6236949472 6473242880 6505292800 6539748800 6572128000 6606938000 6770840885 6835013120 7166848000 7344640960 7420099600 7459400975 7496333500 7676245504 7716903584 7796186840 8048921600 8091553600 8131616000 8174686000 8456880640 8543766400 8755717528 8867456000 9180801200 9275124500 9497727488 9548033248 9595306880 9646129480 9745233550 9958835200 10061152000 10114442000 10463598080 10571100800 10679708000 10833345416 10944646910 11476001500 11751425536 11872159360 11935041560 11994133600 12057661850 12448544000 12473898944 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48726167750 49794176000 49895595776 52317990400 52855504000 54166727080 54723234550 56912163932 58757127680 59360796800 59675207800 59970668000 60288309250 61735228672 62369494720 64732428800 65397488000 67708408850 68350131200 70045740224 70416745204 71140204915 73446409600 74200996000 74594009750 76384265984 76762455040 77169035840 77961868400 79895922443 80915536000 84568806400 85437664000 86666763328 87557175280 88020931505 91808012000 94977274880 95480332480 95953068800 96461294800 97452335500 99791191552 104635980800 105711008000 108333454160 109446469100 113824327864 117514255360 118721593600 119350415600 119941336000 120576618500 123470457344 124738989440 129464857600 130794976000 135416817700 136808086375 140091480448 140833490408 142280409830 146892819200 148401992000 149188019500 152768531968 154338071680 155923736800 159791844886 161831072000 169271022125 170875328000 173333526656 175114350560 176041863010 183616024000 190960664960 191906137600 192922589600 194904671000 199582383104 211422016000 216666908320 218892938200 227648655728 237443187200 238700831200 239882672000 241153237000 246940914688 249477978880 261589952000 270833635400 273616172750 280182960896 281666980816 284560819660 293785638400 296803984000 298376039000 305537063936 308676143360 311847473600 319583689772 323662144000 338542044250 341750656000 346667053312 350228701120 352083726020 355701024575 367232048000 381921329920 383812275200 385845179200 389809342000 399479612215 422844032000 433333816640 437785876400 440104657525 455297311456 474886374400 477401662400 479765344000 482306474000 498955957760 523179904000 541667270800 547232345500 560365921792 563333961632 569121639320 587571276800 593607968000 596752078000 617352286720 623694947200 639167379544 647324288000 677084088500 693334106624 700457402240 704167452040 711402049150 734464096000 763842659840 771690358400 779618684000 798959224430 866667633280 875571752800 880209315050 910594622912 954803324800 959530688000 964612948000 997911915520 1038646991759 1083334541600 1094464691000 1120731843584 1126667923264 1138243278640 1187215936000 1193504156000 1234704573440 1247389894400 1278334759088 1354168177000 1386668213248 1400914804480 1408334904080 1422804098300 1468928192000 1527685319680 1543380716800 1559237368000 1597918448860 1733335266560 1751143505600 1760418630100 1778505122875 1821189245824 1909606649600 1919061376000 1929225896000 1997398061075 2077293983518 2166669083200 2188929382000 2200523287625 2253335846528 2276486557280 2374431872000 2387008312000 2494779788800 2556669518176 2708336354000 2801829608960 2816669808160 2845608196600 2937856384000 3086761433600 3118474736000 3195836897720 3466670533120 3502287011200 3520837260200 3557010245750 3642378491648 3819213299200 3858451792000 3994796122150 4154587967036 4333338166400 4377858764000 4401046575250 4506671693056 4552973114560 4774016624000 4989559577600 5113339036352 5193234958795 5416672708000 5603659217920 5633339616320 5691216393200 6173522867200 6236949472000 6391673795440 6933341066240 7004574022400 7041674520400 7114020491500 7284756983296 7638426598400 7716903584000 7989592244300 8309175934072 8666676332800 8755717528000 8802093150500 9013343386112 9105946229120 9548033248000 9986990305375 10226678072704 10386469917590 10833345416000 11266679232640 11382432786400 12473898944000 12783347590880 14009148044800 14083349040800 14228040983000 14569513966592 15433807168000 15979184488600 16618351868144 17333352665600 17511435056000 17604186301000 18026686772224 18211892458240 19096066496000 19973980610750 20453356145408 20772939835180 21666690832000 22533358465280 22764865572800 24947797888000 25566695181760 25966174793975 28018296089600 28166698081600 28456081966000 30867614336000 31958368977200 33236703736288 34666705331200 35022870112000 35208372602000 36423784916480 38192132992000 39947961221500 40906712290816 41545879670360 43333381664000 45066716930560 45529731145600 51133390363520 51932349587950 56333396163200 56912163932000 63916737954400 66473407472576 70045740224000 70416745204000 72847569832960 79895922443000 81813424581632 83091759340720 86666763328000 90133433861120 91059462291200 102266780727040 103864699175900 112666792326400 113824327864000 127833475908800 129830873969875 132946814945152 140091480448000 140833490408000 159791844886000 166183518681440 173333526656000 182118924582400 204533561454080 207729398351800 225333584652800 227648655728000 255666951817600 259661747939750 265893629890304 281666980816000 319583689772000 332367037362880 364237849164800 409067122908160 415458796703600 450667169305600 455297311456000 511333903635200 519323495879500 531787259780608 563333961632000 639167379544000 664734074725760 830917593407200 910594622912000 1022667807270400 1038646991759000 1063574519561216 1126667923264000 1278334759088000 1329468149451520 1661835186814400 1821189245824000 2045335614540800 2077293983518000 2253335846528000 2556669518176000 2658936298903040 3323670373628800 4154587967036000 5113339036352000 5317872597806080 6647340747257600 8309175934072000 10226678072704000 13294681494515200 16618351868144000 26589362989030400 33236703736288000 66473407472576000 132946814945152000
- Sum of all divisors σ(n): 368391348650707200
- Sum of proper divisors (its aliquot sum) s(n): 235444533705555200
- 132946814945152000 is an abundant number, because the sum of its proper divisors (235444533705555200) is greater than itself. Its abundance is 102497718760403200
Bases of 132946814945152000
- Binary: 1110110000101001001101100011111101101001101001100000000002
- Hexadecimal: 0x1D8526C7ED34C00
- Base-36: 10D1PNMXAWHS
Squares and roots of 132946814945152000
- 132946814945152000 squared (1329468149451520002) is 17674855604060491184768303104000000
- 132946814945152000 cubed (1329468149451520003) is 2349815757175312890179012590129241871351808000000000
-
The
square root of 132946814945152000 is 364618725.4450215425 -
The
cube root of 132946814945152000 is 510378.8226652217
Scales and comparisons
How big is 132946814945152000?- 132,946,814,945,152,000 seconds is equal to 4,227,297,483 years, 39 weeks, 2 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 132,946,814,945,152,000 would take you about twelve billion, six hundred eighty-one million, eight hundred ninety-two thousand, four hundred fifty-one 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 132946814945152000 cubic inches would be around 42531.6 feet tall.
Recreational maths with 132946814945152000
- 132946814945152000 backwards is 000251549418649231
- 132946814945152000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 132946814945152000's digits is 64
- More coming soon!
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The information we have on file for 132946814945152000 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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