135168768000

Names of 135168768000

• Cardinal: 135168768000 can be written as One hundred thirty-five billion, one hundred sixty-eight million, seven hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.35168768 × 10¹¹

Factors of 135168768000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 63

Divisors of 135168768000

• Number of divisors d(n): 1728
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 29 30 32 34 35 36 40 42 45 48 50 51 56 58 60 63 64 68 70 72 75 80 84 85 87 90 96 100 102 105 112 116 119 120 125 126 128 136 140 144 145 150 153 160 168 170 174 175 180 192 200 203 204 210 224 225 232 238 240 250 252 255 256 261 272 280 288 289 290 300 306 315 320 336 340 348 350 357 360 375 384 400 406 408 420 425 435 448 450 464 476 480 493 500 504 510 512 522 525 544 560 576 578 580 595 600 609 612 630 640 672 680 696 700 714 720 725 750 765 768 800 812 816 840 850 867 870 875 896 900 928 952 960 986 1000 1008 1015 1020 1024 1044 1050 1071 1088 1120 1125 1152 1156 1160 1190 1200 1218 1224 1260 1275 1280 1305 1344 1360 1392 1400 1428 1440 1445 1450 1479 1500 1530 1536 1575 1600 1624 1632 1680 1700 1734 1740 1750 1785 1792 1800 1827 1856 1904 1920 1972 2000 2016 2023 2030 2040 2048 2088 2100 2125 2142 2175 2176 2240 2250 2304 2312 2320 2380 2400 2436 2448 2465 2520 2550 2560 2601 2610 2625 2688 2720 2784 2800 2856 2880 2890 2900 2958 2975 3000 3045 3060 3072 3150 3200 3248 3264 3360 3400 3451 3468 3480 3500 3570 3584 3600 3625 3654 3712 3808 3825 3840 3944 4000 4032 4046 4060 4080 4176 4200 4250 4284 4335 4350 4352 4437 4480 4500 4608 4624 4640 4760 4800 4872 4896 4930 5040 5075 5100 5120 5202 5220 5250 5355 5376 5440 5568 5600 5712 5760 5780 5800 5916 5950 6000 6069 6090 6120 6144 6300 6375 6400 6496 6525 6528 6720 6800 6902 6936 6960 7000 7140 7168 7200 7225 7250 7308 7395 7424 7616 7650 7680 7875 7888 8000 8064 8092 8120 8160 8352 8381 8400 8500 8568 8670 8700 8704 8874 8925 8960 9000 9135 9216 9248 9280 9520 9600 9744 9792 9860 10080 10115 10150 10200 10240 10353 10404 10440 10500 10710 10752 10875 10880 11136 11200 11424 11520 11560 11600 11832 11900 12000 12138 12180 12240 12325 12600 12750 12800 12992 13005 13050 13056 13440 13600 13804 13872 13920 14000 14280 14336 14400 14450 14500 14616 14790 14848 14875 15225 15232 15300 15360 15750 15776 16000 16128 16184 16240 16320 16704 16762 16800 17000 17136 17255 17340 17400 17408 17748 17850 17920 18000 18207 18270 18432 18496 18560 19040 19125 19200 19488 19584 19720 20160 20230 20300 20400 20706 20808 20880 21000 21420 21504 21675 21750 21760 22185 22272 22400 22848 23040 23120 23200 23664 23800 24000 24276 24360 24480 24650 25143 25200 25375 25500 25600 25984 26010 26100 26112 26775 26880 27200 27608 27744 27840 28000 28560 28800 28900 29000 29232 29580 29696 29750 30345 30450 30464 30600 30720 31059 31500 31552 32000 32256 32368 32480 32625 32640 33408 33524 33600 34000 34272 34510 34680 34800 34816 35496 35700 35840 36000 36125 36414 36540 36975 36992 37120 38080 38250 38400 38976 39168 39440 40320 40460 40600 40800 41412 41616 41760 41905 42000 42840 43008 43350 43500 43520 44370 44544 44625 44800 45675 45696 46080 46240 46400 47328 47600 48000 48552 48720 48960 49300 50286 50400 50575 50750 51000 51200 51765 51968 52020 52200 52224 53550 53760 54400 55216 55488 55680 56000 57120 57600 57800 58000 58464 58667 59160 59392 59500 60690 60900 60928 61200 61625 62118 63000 63104 64000 64512 64736 64960 65025 65250 65280 66816 67048 67200 68000 68544 69020 69360 69600 70992 71400 71680 72000 72250 72828 73080 73950 73984 74240 75429 76125 76160 76500 76800 77952 78336 78880 80640 80920 81200 81600 82824 83232 83520 83810 84000 85680 86275 86700 87000 87040 88740 89088 89250 89600 91035 91350 91392 92160 92480 92800 94656 95200 96000 97104 97440 97920 98600 100572 100800 101150 101500 102000 103530 103936 104040 104400 104448 107100 107520 108375 108800 110432 110925 110976 111360 112000 114240 115200 115600 116000 116928 117334 118320 119000 121380 121800 121856 122400 123250 124236 125715 126000 126208 128000 129024 129472 129920 130050 130500 130560 133632 133875 134096 134400 136000 137088 138040 138720 139200 141984 142800 144000 144500 145656 146160 147900 147968 148480 150858 151725 152250 152320 153000 153600 155295 155904 156672 157760 161280 161840 162400 163200 165648 166464 167040 167620 168000 171360 172550 173400 174000 174080 176001 177480 178176 178500 179200 182070 182700 182784 184875 184960 185600 189312 190400 192000 194208 194880 195840 197200 201144 201600 202300 203000 204000 207060 207872 208080 208800 209525 214200 215040 216750 217600 220864 221850 221952 222720 224000 228375 228480 230400 231200 232000 233856 234668 236640 238000 242760 243600 243712 244800 246500 248472 251430 252000 252416 252875 256000 258825 258944 259840 260100 261000 261120 267264 267750 268192 268800 272000 274176 276080 277440 278400 283968 285600 288000 289000 291312 292320 293335 295800 295936 296960 301716 303450 304500 304640 306000 310590 311808 313344 315520 322560 323680 324800 325125 326400 331296 332928 334080 335240 336000 342720 345100 346800 348000 352002 354960 357000 358400 364140 365400 365568 369750 369920 371200 377145 378624 380800 384000 388416 389760 391680 394400 402288 403200 404600 406000 408000 414120 415744 416160 417600 419050 428400 431375 433500 435200 441728 443700 443904 445440 448000 455175 456750 456960 460800 462400 464000 467712 469336 473280 476000 485520 487200 489600 493000 496944 502860 504000 504832 505750 517650 517888 519680 520200 522000 522240 528003 534528 535500 536384 537600 544000 548352 552160 554625 554880 556800 567936 571200 576000 578000 582624 584640 586670 591600 591872 603432 606900 609000 609280 612000 621180 623616 628575 631040 645120 647360 649600 650250 652800 662592 665856 668160 670480 672000 685440 690200 693600 696000 704004 709920 714000 728280 730800 731136 739500 739840 742400 754290 757248 758625 761600 768000 776475 776832 779520 783360 788800 804576 806400 809200 812000 816000 828240 832320 835200 838100 856800 862750 867000 870400 880005 883456 887400 887808 890880 896000 910350 913500 913920 924800 928000 935424 938672 946560 952000 971040 974400 979200 986000 993888 1005720 1008000 1009664 1011500 1035300 1035776 1039360 1040400 1044000 1047625 1056006 1071000 1072768 1075200 1088000 1096704 1104320 1109250 1109760 1113600 1135872 1142400 1152000 1156000 1165248 1169280 1173340 1183200 1206864 1213800 1218000 1218560 1224000 1242360 1247232 1257150 1262080 1294125 1294720 1299200 1300500 1305600 1325184 1331712 1336320 1340960 1344000 1370880 1380400 1387200 1392000 1408008 1419840 1428000 1456560 1461600 1466675 1479000 1479680 1484800 1508580 1514496 1517250 1523200 1552950 1553664 1559040 1566720 1577600 1609152 1612800 1618400 1624000 1632000 1656480 1664640 1670400 1676200 1713600 1725500 1734000 1760010 1766912 1774800 1775616 1792000 1820700 1827000 1827840 1849600 1856000 1870848 1877344 1885725 1893120 1904000 1942080 1948800 1958400 1972000 1987776 2011440 2016000 2023000 2070600 2071552 2078720 2080800 2088000 2095250 2112012 2142000 2145536 2176000 2193408 2208640 2218500 2219520 2227200 2271744 2275875 2284800 2304000 2312000 2330496 2338560 2346680 2366400 2413728 2427600 2436000 2448000 2484720 2514300 2524160 2588250 2589440 2598400 2601000 2611200 2640015 2650368 2663424 2672640 2681920 2688000 2741760 2760800 2774400 2784000 2816016 2839680 2856000 2913120 2923200 2933350 2958000 2959360 3017160 3028992 3034500 3046400 3105900 3107328 3118080 3142875 3155200 3218304 3225600 3236800 3248000 3264000 3312960 3329280 3340800 3352400 3427200 3451000 3468000 3520020 3533824 3549600 3641400 3654000 3655680 3699200 3712000 3741696 3754688 3771450 3786240 3808000 3882375 3884160 3897600 3916800 3944000 3975552 4022880 4032000 4046000 4141200 4143104 4161600 4176000 4190500 4224024 4284000 4291072 4352000 4400025 4417280 4437000 4439040 4454400 4543488 4551750 4569600 4624000 4660992 4677120 4693360 4732800 4827456 4855200 4872000 4896000 4969440 5028600 5048320 5176500 5178880 5196800 5202000 5280030 5300736 5326848 5363840 5376000 5483520 5521600 5548800 5568000 5632032 5679360 5712000 5826240 5846400 5866700 5916000 6034320 6069000 6092800 6211800 6214656 6236160 6285750 6310400 6436608 6473600 6496000 6528000 6625920 6658560 6681600 6704800 6854400 6902000 6936000 7040040 7067648 7099200 7282800 7308000 7333375 7398400 7424000 7509376 7542900 7572480 7616000 7764750 7768320 7795200 7833600 7888000 7951104 8045760 8064000 8092000 8282400 8323200 8352000 8381000 8448048 8568000 8582144 8800050 8834560 8874000 8878080 9086976 9103500 9139200 9248000 9321984 9354240 9386720 9428625 9465600 9654912 9710400 9744000 9792000 9938880 10057200 10353000 10357760 10393600 10404000 10560060 10601472 10727680 10967040 11043200 11097600 11136000 11264064 11358720 11424000 11652480 11692800 11733400 11832000 12068640 12138000 12423600 12429312 12571500 12620800 12873216 12947200 12992000 13056000 13200075 13251840 13317120 13363200 13409600 13708800 13804000 13872000 14080080 14198400 14565600 14616000 14666750 14796800 15018752 15085800 15144960 15232000 15529500 15536640 15590400 15776000 15902208 16091520 16128000 16184000 16564800 16646400 16704000 16762000 16896096 17136000 17164288 17600100 17669120 17748000 18207000 18278400 18496000 18643968 18708480 18773440 18857250 18931200 19309824 19420800 19488000 19584000 19877760 20114400 20706000 20715520 20808000 21120120 21202944 21455360 22000125 22086400 22195200 22272000 22528128 22717440 22848000 23304960 23385600 23466800 23664000 24137280 24276000 24847200 25143000 25241600 25746432 25894400 25984000 26400150 26503680 26634240 26819200 27417600 27608000 27744000 28160160 28396800 29131200 29232000 29333500 30037504 30171600 30464000 31059000 31073280 31180800 31552000 31804416 32183040 32368000 33129600 33292800 33408000 33524000 33792192 34272000 35200200 35338240 35496000 36414000 36992000 37287936 37546880 37714500 37862400 38619648 38841600 38976000 39168000 39755520 40228800 41412000 41616000 42240240 42910720 44000250 44172800 44390400 45056256 45434880 45696000 46609920 46771200 46933600 47328000 48274560 48552000 49694400 50286000 51492864 51788800 51968000 52800300 53007360 53638400 54835200 55216000 55488000 56320320 56793600 58262400 58464000 58667000 60075008 60343200 62118000 62146560 63104000 63608832 64366080 64736000 66000375 66259200 66585600 66816000 67048000 67584384 68544000 70400400 70992000 72828000 73984000 75093760 75429000 75724800 77239296 77683200 77952000 79511040 80457600 82824000 83232000 84480480 85821440 88000500 88345600 90112512 91392000 93219840 93542400 93867200 94656000 96549120 97104000 99388800 100572000 103577600 105600600 106014720 107276800 110432000 110976000 112640640 113587200 116524800 116928000 117334000 120150016 120686400 124236000 126208000 128732160 129472000 132000750 132518400 133171200 134096000 135168768 137088000 140800800 141984000 145656000 150187520 150858000 154478592 155366400 155904000 159022080 160915200 165648000 166464000 168960960 176001000 176691200 180225024 186439680 187734400 189312000 193098240 194208000 198777600 201144000 211201200 214553600 220864000 221952000 225281280 227174400 233049600 233856000 234668000 241372800 248472000 257464320 258944000 264001500 265036800 268192000 270337536 274176000 281601600 283968000 291312000 300375040 301716000 310732800 318044160 321830400 331296000 332928000 337921920 352002000 360450048 375468800 378624000 386196480 388416000 397555200 402288000 422402400 429107200 441728000 450562560 466099200 467712000 469336000 482745600 496944000 517888000 528003000 530073600 536384000 540675072 563203200 567936000 582624000 600750080 603432000 643660800 662592000 665856000 675843840 704004000 750937600 772392960 776832000 795110400 804576000 844804800 883456000 901125120 932198400 938672000 965491200 993888000 1056006000 1072768000 1081350144 1126406400 1135872000 1165248000 1206864000 1287321600 1325184000 1351687680 1408008000 1501875200 1553664000 1590220800 1609152000 1689609600 1802250240 1877344000 1930982400 1987776000 2112012000 2145536000 2252812800 2330496000 2413728000 2650368000 2703375360 2816016000 3003750400 3218304000 3379219200 3754688000 3861964800 3975552000 4224024000 4505625600 4660992000 4827456000 5406750720 5632032000 6436608000 6758438400 7509376000 7951104000 8448048000 9011251200 9654912000 11264064000 13516876800 15018752000 16896096000 19309824000 22528128000 27033753600 33792192000 45056256000 67584384000 135168768000
• Sum of all divisors σ(n): 611887348800
• Sum of proper divisors (its aliquot sum) s(n): 476718580800
• 135168768000 is an abundant number, because the sum of its proper divisors (476718580800) is greater than itself. Its abundance is 341549812800

Bases of 135168768000

• Binary: 1111101111000101011111011100000000000₂
• Hexadecimal: 0x1F78AFB800
• Base-36: 1Q3FZSW0

Squares and roots of 135168768000

• 135168768000 squared (135168768000²) is 18270595842637824000000
• 135168768000 cubed (135168768000³) is 2469613930675276540280832000000000
• The square root of 135168768000 is 367653.0538428859
• The cube root of 135168768000 is 5132.0646477759

Scales and comparisons

• 135,168,768,000 seconds is equal to 4,297 years, 49 weeks, 2 days, 8 hours.
• To count from 1 to 135,168,768,000 would take you about eight thousand, five hundred ninety-five 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 135168768000 cubic inches would be around 427.7 feet tall.

Recreational maths with 135168768000

• 135168768000 backwards is 000867861531
• 135168768000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135168768000's digits is 45
• More coming soon!