135377042653704832000
135,377,042,653,704,832,000 is an even composite number composed of five prime numbers multiplied together.
135377042653704832000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 135377042653704832000:
210 × 53 × 192 × 413 × 3493
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 19 × 41 × 41 × 41 × 349 × 349 × 349)See below for interesting mathematical facts about the number 135377042653704832000 from the Numbermatics database.
Names of 135377042653704832000
- Cardinal: 135377042653704832000 can be written as One hundred thirty-five quintillion, three hundred seventy-seven quadrillion, forty-two trillion, six hundred fifty-three billion, seven hundred four million, eight hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.35377042653704832 × 1020
Factors of 135377042653704832000
Divisors of 135377042653704832000
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 41 50 64 76 80 82 95 100 125 128 152 160 164 190 200 205 250 256 304 320 328 349 361 380 400 410 475 500 512 608 640 656 698 722 760 779 800 820 950 1000 1024 1025 1216 1280 1312 1396 1444 1520 1558 1600 1640 1681 1745 1805 1900 2000 2050 2375 2432 2560 2624 2792 2888 3040 3116 3200 3280 3362 3490 3610 3800 3895 4000 4100 4750 4864 5120 5125 5248 5584 5776 6080 6232 6400 6560 6631 6724 6980 7220 7600 7790 8000 8200 8405 8725 9025 9500 9728 10250 10496 11168 11552 12160 12464 12800 13120 13262 13448 13960 14309 14440 14801 15200 15580 16000 16400 16810 17450 18050 19000 19456 19475 20500 20992 22336 23104 24320 24928 25600 26240 26524 26896 27920 28618 28880 29602 30400 31160 31939 32000 32800 33155 33620 34900 36100 38000 38950 41000 41984 42025 43625 44672 45125 46208 48640 49856 52480 53048 53792 55840 57236 57760 59204 60800 62320 63878 64000 65600 66310 67240 68921 69800 71545 72200 74005 76000 77900 82000 84050 87250 89344 90250 92416 97280 97375 99712 104960 106096 107584 111680 114472 115520 118408 121600 121801 124640 125989 127756 128000 131200 132620 134480 137842 139600 143090 144400 148010 152000 155800 159695 164000 165775 168100 174500 178688 180500 184832 194750 199424 209920 210125 212192 215168 223360 228944 231040 236816 243200 243602 249280 251978 255512 262400 265240 268960 271871 275684 279200 286180 288800 296020 304000 311600 319390 328000 331550 336200 344605 349000 357376 357725 361000 369664 370025 389500 398848 420250 424384 430336 446720 457888 462080 473632 486400 487204 498560 503956 511024 524800 530480 537920 543742 551368 558400 572360 577600 586669 592040 606841 608000 609005 623200 629945 638780 656000 663100 672400 689210 698000 715450 722000 740050 779000 797696 798475 828875 840500 848768 860672 893440 915776 924160 947264 974408 997120 1007912 1022048 1049600 1060960 1075840 1087484 1102736 1116800 1144720 1155200 1173338 1184080 1213682 1216000 1218010 1246400 1259890 1277560 1309499 1312000 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445319219255608 457323973561600 468757072900640 473048580102400 484874794604960 491058758048000 497945873792000 503335226999200 510394520636800 515918607674180 529826554736000 537257390144000 543072218604400 555730423616000 556649024069510 571654966952000 585946341125800 591310725128000 606093493256200 629169033749000 637993150796000 644269090558976 644898259592725 678840273255500 695132439813632 732432926407250 750011316641024 757616866570250 775799671367936 805336363198720 816631233018880 825469772278688 847722487577600 868915549767040 890638438511216 914647947123200 937514145801280 946097160204800 969749589209920 982117516096000 1006670453998400 1020789041273600 1031837215348360 1057633145732069 1059653109472000 1074514780288000 1086144437208800 1111460847232000 1113298048139020 1143309933904000 1171892682251600 1182621450256000 1212186986512400 1258338067498000 1275986301592000 1289796519185450 1357680546511000 1390264879627264 1391622560173775 1464865852814500 1500022633282048 1515233733140500 1551599342735872 1610672726397440 1650939544557376 1737831099534080 1781276877022432 1829295894246400 1875028291602560 1892194320409600 1939499178419840 1964235032192000 2013340907996800 2041578082547200 2063674430696720 2115266291464138 2119306218944000 2172288874417600 2226596096278040 2286619867808000 2343785364503200 2365242900512000 2424373973024800 2516676134996000 2551972603184000 2579593038370900 2715361093022000 2783245120347550 2929731705629000 3000045266564096 3030467466281000 3103198685471744 3221345452794880 3224491297963625 3301879089114752 3475662199068160 3562553754044864 3750056583205120 3878998356839680 4026681815993600 4083156165094400 4127348861393440 4230532582928276 4238612437888000 4344577748835200 4453192192556080 4573239735616000 4687570729006400 4730485801024000 4848747946049600 5033352269992000 5103945206368000 5159186076741800 5288165728660345 5430722186044000 5566490240695100 5859463411258000 6060934932562000 6448982595927250 6603758178229504 6951324398136320 6958112800868875 7125107508089728 7500113166410240 7757996713679360 8053363631987200 8254697722786880 8461065165856552 8689155497670400 8906384385112160 9146479471232000 9375141458012800 9460971602048000 9697495892099200 10066704539984000 10207890412736000 10318372153483600 10576331457320690 10861444372088000 11132980481390200 11718926822516000 12121869865124000 12897965191854500 13207516356459008 13916225601737750 14250215016179456 15000226332820480 15515993427358720 16106727263974400 16509395445573760 16922130331713104 17378310995340800 17812768770224320 18750282916025600 19394991784198400 20133409079968000 20415780825472000 20636744306967200 21152662914641380 21722888744176000 22265960962780400 23437853645032000 24243739730248000 25795930383709000 26415032712918016 26440828643301725 27832451203475500 28500430032358912 33018790891147520 33844260663426208 34756621990681600 35625537540448640 37500565832051200 38789983568396800 40266818159936000 41273488613934400 42305325829282760 43445777488352000 44531921925560800 46875707290064000 48487479460496000 51591860767418000 52881657286603450 55664902406951000 57000860064717824 66037581782295040 67688521326852416 71251075080897280 75001131664102400 77579967136793600 80533636319872000 82546977227868800 84610651658565520 86891554976704000 89063843851121600 93751414580128000 96974958920992000 103183721534836000 105763314573206900 111329804813902000 132075163564590080 132204143216508625 135377042653704832 142502150161794560 165093954455737600 169221303317131040 173783109953408000 178127687702243200 187502829160256000 193949917841984000 206367443069672000 211526629146413800 222659609627804000 264408286433017250 270754085307409664 285004300323589120 330187908911475200 338442606634262080 356255375404486400 375005658320512000 387899835683968000 412734886139344000 423053258292827600 445319219255608000 528816572866034500 541508170614819328 660375817822950400 676885213268524160 712510750808972800 825469772278688000 846106516585655200 890638438511216000 1057633145732069000 1083016341229638656 1353770426537048320 1425021501617945600 1650939544557376000 1692213033171310400 1781276877022432000 2115266291464138000 2707540853074096640 3301879089114752000 3384426066342620800 3562553754044864000 4230532582928276000 5415081706148193280 6768852132685241600 7125107508089728000 8461065165856552000 13537704265370483200 16922130331713104000 27075408530740966400 33844260663426208000 67688521326852416000 135377042653704832000
- Sum of all divisors σ(n): 366408181484142033600
- Sum of proper divisors (its aliquot sum) s(n): 231031138830437201600
- 135377042653704832000 is an abundant number, because the sum of its proper divisors (231031138830437201600) is greater than itself. Its abundance is 95654096176732369600
Bases of 135377042653704832000
- Binary: 11101010110101110111101111100001001000001001111101101000100000000002
- Hexadecimal: 0x756BBDF0904FB4400
- Base-36: SKJ4KI9LV7DOG
Squares and roots of 135377042653704832000
- 135377042653704832000 squared (1353770426537048320002) is 18326943677663017421863895380148224000000
- 135377042653704832000 cubed (1353770426537048320003) is 2481047435963032409246565239534542943018778905018368000000000
-
The
square root of 135377042653704832000 is 11635164057.8766585779 -
The
cube root of 135377042653704832000 is 5134699.2072206189
Scales and comparisons
How big is 135377042653704832000?- 135,377,042,653,704,832,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 135,377,042,653,704,832,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 135377042653704832000 cubic inches would be around 427891.6 feet tall.
Recreational maths with 135377042653704832000
- 135377042653704832000 backwards is 000238407356240773531
- The number of decimal digits it has is: 21
- The sum of 135377042653704832000's digits is 70
- More coming soon!
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"Number 135377042653704832000 - Facts about the integer". Numbermatics.com. 2024. Web. 10 May 2024.
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Numbermatics. (2024). Number 135377042653704832000 - Facts about the integer. Retrieved 10 May 2024, from https://numbermatics.com/n/135377042653704832000/
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Numbermatics. 2024. "Number 135377042653704832000 - Facts about the integer". https://numbermatics.com/n/135377042653704832000/
The information we have on file for 135377042653704832000 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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