135440766720
135,440,766,720 is an even composite number composed of six prime numbers multiplied together.
135440766720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135440766720:
28 × 32 × 5 × 73 × 151 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 151 × 227)See below for interesting mathematical facts about the number 135440766720 from the Numbermatics database.
Names of 135440766720
- Cardinal: 135440766720 can be written as One hundred thirty-five billion, four hundred forty million, seven hundred sixty-six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3544076672 × 1011
Factors of 135440766720
Divisors of 135440766720
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 128 140 144 147 151 160 168 180 192 196 210 224 227 240 245 252 256 280 288 294 302 315 320 336 343 360 384 392 420 441 448 453 454 480 490 504 560 576 588 604 630 640 672 681 686 720 735 755 768 784 840 882 896 906 908 960 980 1008 1029 1057 1120 1135 1152 1176 1208 1260 1280 1344 1359 1362 1372 1440 1470 1510 1568 1589 1680 1715 1764 1792 1812 1816 1920 1960 2016 2043 2058 2114 2205 2240 2265 2270 2304 2352 2416 2520 2688 2718 2724 2744 2880 2940 3020 3087 3136 3171 3178 3360 3405 3430 3528 3624 3632 3840 3920 4032 4086 4116 4228 4410 4480 4530 4540 4704 4767 4832 5040 5145 5285 5376 5436 5448 5488 5760 5880 6040 6174 6272 6342 6356 6720 6795 6810 6860 7056 7248 7264 7399 7840 7945 8064 8172 8232 8456 8820 8960 9060 9080 9408 9513 9534 9664 10080 10215 10290 10570 10872 10896 10976 11123 11520 11760 12080 12348 12544 12684 12712 13440 13590 13620 13720 14112 14301 14496 14528 14798 15435 15680 15855 15890 16128 16344 16464 16912 17640 18120 18160 18816 19026 19068 19328 20160 20430 20580 21140 21744 21792 21952 22197 22246 23520 23835 24160 24696 25368 25424 26880 27180 27240 27440 28224 28602 28992 29056 29596 30870 31360 31710 31780 32688 32928 33369 33824 34277 35280 36240 36320 36995 37632 38052 38136 38656 40320 40860 41160 42280 43488 43584 43904 44394 44492 47040 47565 47670 48320 49392 50736 50848 51793 54360 54480 54880 55615 56448 57204 57984 58112 59192 61740 62720 63420 63560 65376 65856 66591 66738 67648 68554 70560 71505 72480 72640 73990 76104 76272 77861 80640 81720 82320 84560 86976 87168 87808 88788 88984 94080 95130 95340 96640 98784 100107 101472 101696 102831 103586 108720 108960 109760 110985 111230 112896 114408 115968 118384 123480 126840 127120 130752 131712 133182 133476 135296 137108 141120 143010 144960 145280 147980 152208 152544 155379 155722 163440 164640 166845 169120 171385 173952 174336 177576 177968 188160 190260 190680 193280 197568 200214 202944 203392 205662 207172 217440 217920 219520 221970 222460 228816 233583 236768 239939 246960 253680 254240 258965 261504 263424 266364 266952 270592 274216 282240 286020 289920 290560 295960 304416 305088 308493 310758 311444 326880 329280 332955 333690 338240 342770 347904 355152 355936 380520 381360 389305 395136 400428 405888 406784 411324 414344 434880 435840 439040 443940 444920 457632 466137 467166 473536 479878 493920 500535 507360 508480 514155 517930 523008 532728 533904 548432 564480 572040 579840 591920 608832 610176 616986 621516 622888 653760 658560 665910 667380 676480 685540 700749 710304 711872 719817 761040 762720 776895 778610 790272 800856 811776 822648 828688 869760 871680 887880 889840 915264 932274 934332 947072 959756 987840 1001070 1014720 1016960 1028310 1035860 1065456 1067808 1096864 1144080 1167915 1183840 1199695 1217664 1220352 1233972 1243032 1245776 1307520 1317120 1331820 1334760 1352960 1371080 1401498 1420608 1423744 1439634 1522080 1525440 1542465 1553790 1557220 1601712 1645296 1657376 1679573 1739520 1775760 1779680 1830528 1864548 1868664 1894144 1919512 1975680 2002140 2029440 2033920 2056620 2071720 2130912 2135616 2159451 2193728 2288160 2330685 2335830 2367680 2399390 2435328 2467944 2486064 2491552 2615040 2663640 2669520 2742160 2802996 2841216 2847488 2879268 3044160 3050880 3084930 3107580 3114440 3203424 3290592 3314752 3359146 3503745 3551520 3559360 3599085 3661056 3729096 3737328 3839024 3951360 4004280 4058880 4113240 4143440 4261824 4271232 4318902 4387456 4576320 4661370 4671660 4735360 4798780 4935888 4972128 4983104 5038719 5327280 5339040 5484320 5605992 5682432 5758536 6088320 6101760 6169860 6215160 6228880 6406848 6581184 6629504 6718292 7007490 7103040 7118720 7198170 7458192 7474656 7678048 8008560 8226480 8286880 8397865 8523648 8542464 8637804 8774912 9152640 9322740 9343320 9470720 9597560 9871776 9944256 9966208 10077438 10654560 10678080 10797255 10968640 11211984 11517072 11757011 12176640 12339720 12430320 12457760 12813696 13162368 13259008 13436584 14014980 14206080 14237440 14396340 14916384 14949312 15116157 15356096 16017120 16452960 16573760 16795730 17047296 17275608 18305280 18645480 18686640 19195120 19743552 19888512 19932416 20154876 21309120 21356160 21594510 21937280 22423968 23034144 23514022 24679440 24860640 24915520 25193595 25627392 26324736 26873168 28029960 28412160 28792680 29832768 29898624 30232314 30712192 32034240 32905920 33147520 33591460 34551216 35271033 37290960 37373280 38390240 39487104 39777024 40309752 42618240 42712320 43189020 43874560 44847936 46068288 47028044 49358880 49721280 49831040 50387190 53746336 56059920 57585360 58785055 59665536 59797248 60464628 61424384 64068480 65811840 66295040 67182920 69102432 70542066 74581920 74746560 75580785 76780480 78974208 80619504 85236480 86378040 89695872 92136576 94056088 98717760 99442560 99662080 100774380 105813099 107492672 112119840 115170720 117570110 119331072 120929256 128136960 131623680 134365840 138204864 141084132 149163840 149493120 151161570 153560960 161239008 172756080 176355165 179391744 184273152 188112176 197435520 198885120 201548760 211626198 214985344 224239680 230341440 235140220 241858512 268731680 276409728 282168264 298327680 298986240 302323140 307121920 322478016 345512160 352710330 376224352 394871040 403097520 423252396 429970688 448479360 460682880 470280440 483717024 529065495 537463360 552819456 564336528 596655360 604646280 644956032 691024320 705420660 752448704 806195040 846504792 896958720 921365760 940560880 967434048 1058130990 1074926720 1128673056 1209292560 1289912064 1382048640 1410841320 1504897408 1612390080 1693009584 1881121760 1934868096 2116261980 2149853440 2257346112 2418585120 2764097280 2821682640 3009794816 3224780160 3386019168 3762243520 3869736192 4232523960 4514692224 4837170240 5643365280 6449560320 6772038336 7524487040 8465047920 9029384448 9674340480 11286730560 13544076672 15048974080 16930095840 19348680960 22573461120 27088153344 33860191680 45146922240 67720383360 135440766720
- Sum of all divisors σ(n): 552527539200
- Sum of proper divisors (its aliquot sum) s(n): 417086772480
- 135440766720 is an abundant number, because the sum of its proper divisors (417086772480) is greater than itself. Its abundance is 281646005760
Bases of 135440766720
- Binary: 11111100010001110011000010111000000002
- Hexadecimal: 0x1F88E61700
- Base-36: 1Q7XXOG0
Squares and roots of 135440766720
- 135440766720 squared (1354407667202) is 18344201289701459558400
- 135440766720 cubed (1354407667203) is 2484552687543178522492768616448000
-
The
square root of 135440766720 is 368022.7801644893 -
The
cube root of 135440766720 is 5135.5047416001
Scales and comparisons
How big is 135440766720?- 135,440,766,720 seconds is equal to 4,306 years, 31 weeks, 11 hours, 12 minutes.
-
To count from 1 to 135,440,766,720 would take you about eight thousand, six hundred thirteen 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 135440766720 cubic inches would be around 428 feet tall.
Recreational maths with 135440766720
- 135440766720 backwards is 027667044531
- 135440766720 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135440766720's digits is 45
- More coming soon!
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