135048176640

Names of 135048176640

• Cardinal: 135048176640 can be written as One hundred thirty-five billion, forty-eight million, one hundred seventy-six thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3504817664 × 10¹¹

Factors of 135048176640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 737

Divisors of 135048176640

• Number of divisors d(n): 880
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 37 39 40 45 48 52 54 60 64 65 72 74 78 80 81 90 96 104 108 111 117 120 128 130 135 144 148 156 160 162 180 185 192 195 208 216 222 234 240 256 260 270 288 296 312 320 324 333 351 360 370 384 390 405 416 432 444 468 480 481 512 520 540 555 576 585 592 624 640 648 666 677 702 720 740 768 780 810 832 864 888 936 960 962 999 1024 1040 1053 1080 1110 1152 1170 1184 1248 1280 1296 1332 1354 1404 1440 1443 1480 1536 1560 1620 1664 1665 1728 1755 1776 1872 1920 1924 1998 2031 2080 2106 2160 2220 2304 2340 2368 2405 2496 2560 2592 2664 2708 2808 2880 2886 2960 2997 3072 3120 3240 3328 3330 3385 3456 3510 3552 3744 3840 3848 3996 4062 4160 4212 4320 4329 4440 4608 4680 4736 4810 4992 4995 5120 5184 5265 5328 5416 5616 5760 5772 5920 5994 6093 6240 6480 6656 6660 6770 6912 7020 7104 7215 7488 7680 7696 7992 8124 8320 8424 8640 8658 8801 8880 9216 9360 9472 9620 9984 9990 10155 10368 10530 10656 10832 11232 11520 11544 11840 11988 12186 12480 12960 12987 13312 13320 13540 13824 14040 14208 14430 14976 14985 15360 15392 15984 16248 16640 16848 17280 17316 17602 17760 18279 18720 18944 19240 19968 19980 20310 20736 21060 21312 21645 21664 22464 23040 23088 23680 23976 24372 24960 25049 25920 25974 26403 26640 27080 27648 28080 28416 28860 29952 29970 30465 30784 31968 32496 33280 33696 34560 34632 35204 35520 36558 37440 37888 38480 38961 39936 39960 40620 41472 42120 42624 43290 43328 44005 44928 46080 46176 47360 47952 48744 49920 50098 51840 51948 52806 53280 54160 54837 56160 56832 57720 59904 59940 60930 61568 63936 64935 64992 66560 67392 69120 69264 70408 71040 73116 74880 75147 76960 77922 79209 79920 81240 82944 84240 85248 86580 86656 88010 89856 91395 92352 94720 95904 97488 99840 100196 103680 103896 105612 106560 108320 109674 112320 113664 115440 119808 119880 121860 123136 125245 127872 129870 129984 132015 134784 138240 138528 140816 142080 146232 149760 150294 153920 155844 158418 159840 162480 168480 170496 173160 173312 176020 179712 182790 184704 189440 191808 194805 194976 199680 200392 207360 207792 211224 213120 216640 219348 224640 225441 230880 237627 239760 243720 246272 250490 255744 259740 259968 264030 269568 274185 277056 281632 284160 292464 299520 300588 307840 311688 316836 319680 324960 325637 336960 340992 346320 346624 352040 359424 365580 369408 375735 383616 389610 389952 396045 400784 414720 415584 422448 426240 433280 438696 449280 450882 461760 475254 479520 487440 492544 500980 511488 519480 519936 528060 539136 548370 554112 563264 568320 584928 599040 601176 615680 623376 633672 639360 649920 651274 673920 676323 692640 693248 704080 712881 731160 738816 751470 767232 779220 779904 792090 801568 831168 844896 852480 866560 877392 898560 901764 923520 950508 959040 974880 976911 1001960 1022976 1038960 1039872 1056120 1078272 1096740 1108224 1126528 1127205 1169856 1188135 1202352 1231360 1246752 1267344 1278720 1299840 1302548 1347840 1352646 1385280 1408160 1425762 1462320 1477632 1502940 1534464 1558440 1559808 1584180 1603136 1628185 1662336 1689792 1704960 1733120 1754784 1797120 1803528 1847040 1901016 1918080 1949760 1953822 2003920 2028969 2077920 2079744 2112240 2193480 2216448 2253056 2254410 2339712 2376270 2404704 2462720 2493504 2534688 2557440 2599680 2605096 2695680 2705292 2770560 2816320 2851524 2924640 2930733 3005880 3068928 3116880 3119616 3168360 3206272 3256370 3324672 3379584 3381615 3466240 3509568 3564405 3607056 3694080 3802032 3836160 3899520 3907644 4007840 4057938 4155840 4224480 4386960 4432896 4506112 4508820 4679424 4752540 4809408 4884555 4987008 5069376 5114880 5199360 5210192 5391360 5410584 5541120 5632640 5703048 5849280 5861466 6011760 6233760 6239232 6336720 6412544 6512740 6649344 6759168 6763230 7019136 7128810 7214112 7388160 7604064 7672320 7799040 7815288 8015680 8115876 8311680 8448960 8773920 8792199 9012224 9017640 9358848 9505080 9618816 9769110 9974016 10138752 10144845 10398720 10420384 10821168 11082240 11265280 11406096 11698560 11722932 12023520 12467520 12673440 12825088 13025480 13298688 13518336 13526460 14038272 14257620 14428224 14653665 15208128 15344640 15598080 15630576 16031360 16231752 16623360 16897920 17547840 17584398 18035280 18717696 19010160 19237632 19538220 19948032 20277504 20289690 20840768 21642336 22164480 22530560 22812192 23397120 23445864 24047040 24935040 25346880 25650176 26050960 26376597 27036672 27052920 28076544 28515240 28856448 29307330 30416256 31196160 31261152 32062720 32463504 33246720 33795840 35095680 35168796 36070560 38020320 38475264 39076440 39896064 40555008 40579380 41681536 43284672 43960995 45061120 45624384 46794240 46891728 48094080 49870080 50693760 52101920 52753194 54105840 56153088 57030480 57712896 58614660 60832512 62522304 64125440 64927008 66493440 67591680 70191360 70337592 72141120 76040640 76950528 78152880 81110016 81158760 83363072 86569344 87921990 91248768 93588480 93783456 96188160 99740160 101387520 104203840 105506388 108211680 114060960 115425792 117229320 121665024 125044608 128250880 129854016 131882985 135183360 140382720 140675184 144282240 152081280 156305760 162317520 166726144 173138688 175843980 182497536 187566912 192376320 199480320 202775040 208407680 211012776 216423360 228121920 230851584 234458640 243330048 250089216 259708032 263765970 280765440 281350368 288564480 304162560 312611520 324635040 333452288 346277376 351687960 364995072 375133824 384752640 405550080 416815360 422025552 432846720 456243840 468917280 500178432 519416064 527531940 562700736 577128960 608325120 625223040 649270080 692554752 703375920 729990144 750267648 833630720 844051104 865693440 912487680 937834560 1000356864 1038832128 1055063880 1125401472 1154257920 1216650240 1250446080 1298540160 1406751840 1500535296 1667261440 1688102208 1731386880 1824975360 1875669120 2077664256 2110127760 2250802944 2500892160 2597080320 2813503680 3001070592 3376204416 3462773760 3649950720 3751338240 4220255520 4501605888 5001784320 5194160640 5627007360 6752408832 7502676480 8440511040 9003211776 10388321280 11254014720 13504817664 15005352960 16881022080 22508029440 27009635328 33762044160 45016058880 67524088320 135048176640
• Sum of all divisors σ(n): 536038260912
• Sum of proper divisors (its aliquot sum) s(n): 400990084272
• 135048176640 is an abundant number, because the sum of its proper divisors (400990084272) is greater than itself. Its abundance is 265941907632

Bases of 135048176640

• Binary: 1111101110001011111111010010000000000₂
• Hexadecimal: 0x1F717FA400
• Base-36: 1Q1G7400

Squares and roots of 135048176640

• 135048176640 squared (135048176640²) is 18238010013788641689600
• 135048176640 cubed (135048176640³) is 2463009997904217318522768850944000
• The square root of 135048176640 is 367489.0156725775
• The cube root of 135048176640 is 5130.5379963111

Scales and comparisons

• 135,048,176,640 seconds is equal to 4,294 years, 5 weeks, 6 days, 14 hours, 24 minutes.
• To count from 1 to 135,048,176,640 would take you about eight thousand, five hundred eighty-eight 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 135048176640 cubic inches would be around 427.5 feet tall.

Recreational maths with 135048176640

• 135048176640 backwards is 046671840531
• 135048176640 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135048176640's digits is 45
• More coming soon!