135348092928000
135,348,092,928,000 is an even composite number composed of five prime numbers multiplied together.
135348092928000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 135348092928000:
224 × 32 × 53 × 71 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 71 × 101)See below for interesting mathematical facts about the number 135348092928000 from the Numbermatics database.
Names of 135348092928000
- Cardinal: 135348092928000 can be written as One hundred thirty-five trillion, three hundred forty-eight billion, ninety-two million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.35348092928 × 1014
Factors of 135348092928000
Divisors of 135348092928000
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 71 72 75 80 90 96 100 101 120 125 128 142 144 150 160 180 192 200 202 213 225 240 250 256 284 288 300 303 320 355 360 375 384 400 404 426 450 480 500 505 512 568 576 600 606 639 640 710 720 750 768 800 808 852 900 909 960 1000 1010 1024 1065 1125 1136 1152 1200 1212 1278 1280 1420 1440 1500 1515 1536 1600 1616 1704 1775 1800 1818 1920 2000 2020 2048 2130 2250 2272 2304 2400 2424 2525 2556 2560 2840 2880 3000 3030 3072 3195 3200 3232 3408 3550 3600 3636 3840 4000 4040 4096 4260 4500 4544 4545 4608 4800 4848 5050 5112 5120 5325 5680 5760 6000 6060 6144 6390 6400 6464 6816 7100 7171 7200 7272 7575 7680 8000 8080 8192 8520 8875 9000 9088 9090 9216 9600 9696 10100 10224 10240 10650 11360 11520 12000 12120 12288 12625 12780 12800 12928 13632 14200 14342 14400 14544 15150 15360 15975 16000 16160 16384 17040 17750 18000 18176 18180 18432 19200 19392 20200 20448 20480 21300 21513 22720 22725 23040 24000 24240 24576 25250 25560 25600 25856 26625 27264 28400 28684 28800 29088 30300 30720 31950 32000 32320 32768 34080 35500 35855 36000 36352 36360 36864 37875 38400 38784 40400 40896 40960 42600 43026 45440 45450 46080 48000 48480 49152 50500 51120 51200 51712 53250 54528 56800 57368 57600 58176 60600 61440 63900 64000 64539 64640 65536 68160 71000 71710 72000 72704 72720 73728 75750 76800 77568 79875 80800 81792 81920 85200 86052 90880 90900 92160 96000 96960 98304 101000 102240 102400 103424 106500 107565 109056 113600 113625 114736 115200 116352 121200 122880 127800 128000 129078 129280 131072 136320 142000 143420 144000 145408 145440 147456 151500 153600 155136 159750 161600 163584 163840 170400 172104 179275 181760 181800 184320 192000 193920 196608 202000 204480 204800 206848 213000 215130 218112 227200 227250 229472 230400 232704 242400 245760 255600 256000 258156 258560 262144 272640 284000 286840 288000 290816 290880 294912 303000 307200 310272 319500 322695 323200 327168 327680 340800 344208 358550 363520 363600 368640 384000 387840 393216 404000 408960 409600 413696 426000 430260 436224 454400 454500 458944 460800 465408 484800 491520 511200 512000 516312 517120 524288 537825 545280 568000 573680 576000 581632 581760 589824 606000 614400 620544 639000 645390 646400 654336 655360 681600 688416 717100 727040 727200 737280 768000 775680 786432 808000 817920 819200 827392 852000 860520 872448 896375 908800 909000 917888 921600 930816 969600 983040 1022400 1024000 1032624 1034240 1048576 1075650 1090560 1136000 1147360 1152000 1163264 1163520 1179648 1212000 1228800 1241088 1278000 1290780 1292800 1308672 1310720 1363200 1376832 1434200 1454080 1454400 1474560 1536000 1551360 1572864 1613475 1616000 1635840 1638400 1654784 1704000 1721040 1744896 1792750 1817600 1818000 1835776 1843200 1861632 1939200 1966080 2044800 2048000 2065248 2068480 2097152 2151300 2181120 2272000 2294720 2304000 2326528 2327040 2359296 2424000 2457600 2482176 2556000 2581560 2585600 2617344 2621440 2689125 2726400 2753664 2868400 2908160 2908800 2949120 3072000 3102720 3145728 3226950 3232000 3271680 3276800 3309568 3408000 3442080 3489792 3585500 3635200 3636000 3671552 3686400 3723264 3878400 3932160 4089600 4096000 4130496 4136960 4194304 4302600 4362240 4544000 4589440 4608000 4653056 4654080 4718592 4848000 4915200 4964352 5112000 5163120 5171200 5234688 5242880 5378250 5452800 5507328 5736800 5816320 5817600 5898240 6144000 6205440 6291456 6453900 6464000 6543360 6553600 6619136 6816000 6884160 6979584 7171000 7270400 7272000 7343104 7372800 7446528 7756800 7864320 8067375 8179200 8192000 8260992 8273920 8388608 8605200 8724480 9088000 9178880 9216000 9306112 9308160 9437184 9696000 9830400 9928704 10224000 10326240 10342400 10469376 10485760 10756500 10905600 11014656 11473600 11632640 11635200 11796480 12288000 12410880 12582912 12907800 12928000 13086720 13107200 13238272 13632000 13768320 13959168 14342000 14540800 14544000 14686208 14745600 14893056 15513600 15728640 16134750 16358400 16384000 16521984 16547840 16777216 17210400 17448960 18176000 18357760 18432000 18612224 18616320 18874368 19392000 19660800 19857408 20448000 20652480 20684800 20938752 20971520 21513000 21811200 22029312 22947200 23265280 23270400 23592960 24576000 24821760 25165824 25815600 25856000 26173440 26214400 26476544 27264000 27536640 27918336 28684000 29081600 29088000 29372416 29491200 29786112 31027200 31457280 32269500 32716800 32768000 33043968 33095680 34420800 34897920 36352000 36715520 36864000 37224448 37232640 37748736 38784000 39321600 39714816 40896000 41304960 41369600 41877504 41943040 43026000 43622400 44058624 45894400 46530560 46540800 47185920 49152000 49643520 50331648 51631200 51712000 52346880 52428800 52953088 54528000 55073280 55836672 57368000 58163200 58176000 58744832 58982400 59572224 62054400 62914560 64539000 65433600 65536000 66087936 66191360 68841600 69795840 72704000 73431040 73728000 74448896 74465280 75497472 77568000 78643200 79429632 81792000 82609920 82739200 83755008 83886080 86052000 87244800 88117248 91788800 93061120 93081600 94371840 98304000 99287040 103262400 103424000 104693760 104857600 105906176 109056000 110146560 111673344 114736000 116326400 116352000 117489664 117964800 119144448 124108800 125829120 129078000 130867200 131072000 132175872 132382720 137683200 139591680 145408000 146862080 147456000 148897792 148930560 150994944 155136000 157286400 158859264 163584000 165219840 165478400 167510016 172104000 174489600 176234496 183577600 186122240 186163200 188743680 196608000 198574080 206524800 206848000 209387520 209715200 211812352 218112000 220293120 223346688 229472000 232652800 232704000 234979328 235929600 238288896 248217600 251658240 258156000 261734400 262144000 264351744 264765440 275366400 279183360 290816000 293724160 294912000 297795584 297861120 310272000 314572800 317718528 327168000 330439680 330956800 335020032 344208000 348979200 352468992 367155200 372244480 372326400 377487360 393216000 397148160 413049600 413696000 418775040 419430400 423624704 436224000 440586240 446693376 458944000 465305600 465408000 469958656 471859200 476577792 496435200 516312000 523468800 524288000 528703488 529530880 550732800 558366720 581632000 587448320 589824000 595591168 595722240 620544000 629145600 635437056 654336000 660879360 661913600 670040064 688416000 697958400 704937984 734310400 744488960 744652800 754974720 786432000 794296320 826099200 827392000 837550080 847249408 872448000 881172480 893386752 917888000 930611200 930816000 939917312 943718400 953155584 992870400 1032624000 1046937600 1048576000 1057406976 1059061760 1101465600 1116733440 1163264000 1174896640 1179648000 1191182336 1191444480 1241088000 1258291200 1270874112 1308672000 1321758720 1323827200 1340080128 1376832000 1395916800 1409875968 1468620800 1488977920 1489305600 1572864000 1588592640 1652198400 1654784000 1675100160 1694498816 1744896000 1762344960 1786773504 1835776000 1861222400 1861632000 1879834624 1887436800 1906311168 1985740800 2065248000 2093875200 2097152000 2114813952 2118123520 2202931200 2233466880 2326528000 2349793280 2359296000 2382888960 2482176000 2541748224 2617344000 2643517440 2647654400 2680160256 2753664000 2791833600 2819751936 2937241600 2977955840 2978611200 3145728000 3177185280 3304396800 3309568000 3350200320 3489792000 3524689920 3573547008 3671552000 3722444800 3723264000 3759669248 3774873600 3812622336 3971481600 4130496000 4187750400 4229627904 4236247040 4405862400 4466933760 4653056000 4699586560 4718592000 4765777920 4964352000 5083496448 5234688000 5287034880 5295308800 5360320512 5507328000 5583667200 5639503872 5874483200 5955911680 5957222400 6291456000 6354370560 6608793600 6619136000 6700400640 6979584000 7049379840 7343104000 7444889600 7446528000 7519338496 7625244672 7942963200 8260992000 8375500800 8459255808 8472494080 8811724800 8933867520 9306112000 9399173120 9437184000 9531555840 9928704000 10469376000 10574069760 10590617600 10720641024 11014656000 11167334400 11279007744 11748966400 11914444800 12708741120 13217587200 13238272000 13400801280 13959168000 14098759680 14686208000 14889779200 14893056000 15038676992 15250489344 15885926400 16521984000 16751001600 16918511616 17623449600 17867735040 18612224000 18798346240 18874368000 19063111680 19857408000 20938752000 21148139520 21181235200 22029312000 22334668800 22558015488 23497932800 23828889600 25417482240 26435174400 26476544000 26801602560 27918336000 28197519360 29372416000 29779558400 29786112000 30077353984 31771852800 33043968000 33502003200 33837023232 35246899200 37224448000 37596692480 38126223360 39714816000 41877504000 42296279040 42362470400 44058624000 44669337600 45116030976 46995865600 47657779200 52870348800 52953088000 53603205120 55836672000 56395038720 58744832000 59572224000 60154707968 63543705600 66087936000 67004006400 67674046464 70493798400 74448896000 75193384960 76252446720 79429632000 83755008000 84592558080 88117248000 89338675200 90232061952 93991731200 95315558400 105740697600 105906176000 111673344000 112790077440 117489664000 119144448000 120309415936 127087411200 132175872000 134008012800 135348092928 140987596800 148897792000 150386769920 158859264000 167510016000 169185116160 176234496000 180464123904 187983462400 190631116800 211481395200 211812352000 223346688000 225580154880 234979328000 238288896000 264351744000 268016025600 270696185856 281975193600 300773539840 317718528000 335020032000 338370232320 352468992000 360928247808 375966924800 381262233600 422962790400 446693376000 451160309760 469958656000 476577792000 528703488000 541392371712 563950387200 601547079680 635437056000 670040064000 676740464640 704937984000 751933849600 845925580800 902320619520 939917312000 953155584000 1057406976000 1082784743424 1127900774400 1340080128000 1353480929280 1409875968000 1503867699200 1691851161600 1804641239040 1879834624000 1906311168000 2114813952000 2255801548800 2706961858560 2819751936000 3007735398400 3383702323200 3759669248000 4229627904000 4511603097600 5413923717120 5639503872000 6767404646400 7519338496000 8459255808000 9023206195200 11279007744000 13534809292800 15038676992000 16918511616000 22558015488000 27069618585600 33837023232000 45116030976000 67674046464000 135348092928000
- Sum of all divisors σ(n): 499747347283392
- Sum of proper divisors (its aliquot sum) s(n): 364399254355392
- 135348092928000 is an abundant number, because the sum of its proper divisors (364399254355392) is greater than itself. Its abundance is 229051161427392
Bases of 135348092928000
- Binary: 111101100011001001011110000000000000000000000002
- Hexadecimal: 0x7B192F000000
- Base-36: 1BZ61ZY0W0
Squares and roots of 135348092928000
- 135348092928000 squared (1353480929280002) is 18319106259246523613184000000
- 135348092928000 cubed (1353480929280003) is 2479456096334404937258174357962752000000000
-
The
square root of 135348092928000 is 11633919.9295852127 -
The
cube root of 135348092928000 is 51343.3317093197
Scales and comparisons
How big is 135348092928000?- 135,348,092,928,000 seconds is equal to 4,303,650 years, 36 weeks, 1 day, 8 hours.
-
To count from 1 to 135,348,092,928,000 would take you about ten million, seven hundred fifty-nine thousand, one hundred twenty-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 135348092928000 cubic inches would be around 4278.6 feet tall.
Recreational maths with 135348092928000
- 135348092928000 backwards is 000829290843531
- The number of decimal digits it has is: 15
- The sum of 135348092928000's digits is 54
- More coming soon!
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The information we have on file for 135348092928000 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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