135076478400

Names of 135076478400

• Cardinal: 135076478400 can be written as One hundred thirty-five billion, seventy-six million, four hundred seventy-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.350764784 × 10¹¹

Factors of 135076478400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 468

Divisors of 135076478400

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 29 30 32 34 36 40 45 48 50 51 53 58 60 64 68 72 75 80 85 87 90 96 100 102 106 116 120 136 144 145 150 153 159 160 170 174 180 192 200 204 212 225 232 240 255 261 265 272 288 290 300 306 318 320 340 348 359 360 400 408 424 425 435 450 464 477 480 493 510 522 530 544 576 580 600 612 636 680 696 718 720 725 765 795 800 816 848 850 870 900 901 928 954 960 986 1020 1044 1060 1077 1088 1160 1200 1224 1272 1275 1305 1325 1360 1392 1436 1440 1450 1479 1530 1537 1590 1600 1632 1696 1700 1740 1795 1800 1802 1856 1908 1972 2040 2088 2120 2154 2175 2320 2385 2400 2448 2465 2544 2550 2610 2650 2703 2720 2784 2872 2880 2900 2958 3060 3074 3180 3231 3264 3392 3400 3480 3590 3600 3604 3816 3825 3944 3975 4080 4176 4240 4308 4350 4437 4505 4611 4640 4770 4800 4896 4930 5088 5100 5220 5300 5385 5406 5440 5568 5744 5800 5916 6103 6120 6148 6360 6462 6525 6800 6960 7180 7200 7208 7395 7632 7650 7685 7888 7950 8109 8160 8352 8480 8616 8700 8874 8975 9010 9222 9280 9540 9792 9860 10176 10200 10411 10440 10600 10770 10812 11488 11600 11832 11925 12206 12240 12296 12325 12720 12924 13050 13515 13600 13833 13920 14360 14400 14416 14790 15264 15300 15370 15776 15900 16155 16218 16320 16704 16960 17232 17400 17748 17950 18020 18309 18444 19027 19080 19720 20400 20822 20880 21200 21540 21624 22185 22525 22976 23055 23200 23664 23850 24412 24480 24592 24650 25440 25848 26100 26129 26925 27030 27200 27666 27840 28720 28832 29580 30515 30528 30600 30740 31233 31552 31800 32310 32436 34464 34800 35496 35900 36040 36618 36888 36975 38054 38160 38425 39440 40545 40800 41644 41760 42400 43080 43248 44370 45050 46110 46400 47328 47700 48824 48960 49184 49300 50880 51696 52055 52200 52258 53850 54060 54927 55332 57081 57440 57664 59160 61030 61200 61480 62466 63600 64620 64872 67575 68928 69165 69600 70992 71800 72080 73236 73776 73950 76108 76320 76850 78387 78880 80775 81090 81600 83288 83520 84800 86160 86496 88740 90100 91545 92220 93699 94656 95135 95400 97648 98368 98600 103392 104110 104400 104516 107700 108120 109854 110664 110925 114162 114880 115275 118320 122060 122400 122960 124932 127200 129240 129744 130645 135150 138330 139200 141984 143600 144160 146472 147552 147900 152216 152575 152640 153700 156165 156774 157760 161550 162180 166576 171243 172320 172992 176987 177480 180200 183090 184440 187398 190270 190800 195296 197200 202725 206784 208220 208800 209032 215400 216240 219708 221328 221850 228324 230550 235161 236640 244120 244800 245920 249864 254400 258480 259488 260275 261290 270300 274635 276660 283968 285405 287200 288320 292944 295104 295800 304432 305150 307400 312330 313548 323100 323459 324360 333152 342486 344640 345825 353974 354960 360400 366180 368880 374796 380540 381600 390592 391935 394400 405450 416440 417600 418064 430800 432480 439416 442656 443700 456648 457725 461100 468495 470322 473280 475675 488240 491840 499728 516960 518976 520550 522580 530961 540600 549270 551783 553320 570810 574400 585888 591600 608864 610300 614800 624660 627096 646200 646918 648720 653225 666304 684972 691650 707948 709920 720800 732360 737760 749592 761080 763200 780825 783870 788800 810900 832880 836128 856215 861600 864960 878832 884935 885312 887400 913296 915450 922200 936990 940644 951350 970377 976480 999456 1033920 1041100 1045160 1061922 1081200 1098540 1103566 1106640 1141620 1171776 1175805 1183200 1217728 1220600 1229600 1249320 1254192 1292400 1293836 1297440 1306450 1369944 1373175 1383300 1415896 1419840 1427025 1441600 1464720 1475520 1499184 1522160 1561650 1567740 1592883 1617295 1621800 1655349 1665760 1672256 1712430 1723200 1757664 1769870 1774800 1826592 1830900 1844400 1873980 1881288 1902700 1940754 1952960 1959675 1998912 2082200 2090320 2123844 2162400 2197080 2207132 2213280 2283240 2342475 2351610 2366400 2441200 2459200 2498640 2508384 2584800 2587672 2594880 2612900 2654805 2739888 2746350 2758915 2766600 2831792 2854050 2911131 2929440 2998368 3044320 3123300 3135480 3185766 3234590 3243600 3310698 3331520 3424860 3515328 3539740 3549600 3653184 3661800 3688800 3747960 3762576 3805400 3881508 3919350 4164400 4180640 4247688 4281075 4324800 4394160 4414264 4424675 4426560 4566480 4684950 4703220 4851885 4882400 4966047 4997280 5016768 5169600 5175344 5225800 5309610 5479776 5492700 5517830 5533200 5663584 5708100 5822262 5858880 5879025 5996736 6088640 6246600 6270960 6371532 6469180 6487200 6621396 6849720 7079480 7099200 7323600 7377600 7495920 7525152 7610800 7763016 7838700 7964415 8086475 8276745 8328800 8361280 8495376 8562150 8788320 8828528 8849350 9132960 9369900 9380311 9406440 9703770 9764800 9932094 9994560 10350688 10451600 10619220 10959552 10985400 11035660 11066400 11327168 11416200 11644524 11758050 12493200 12541920 12743064 12938360 12974400 13242792 13274025 13699440 13794575 14158960 14555655 14647200 14991840 15050304 15221600 15526032 15677400 15928830 16172950 16553490 16657600 16990752 17124300 17576640 17657056 17698700 18265920 18739800 18760622 18812880 19407540 19864188 20701376 20903200 21238440 21970800 22071320 22132800 22832400 23289048 23516100 24259425 24830235 24986400 25083840 25486128 25876720 26485584 26548050 27398880 27589150 28140933 28317920 29111310 29294400 29983680 30443200 31052064 31354800 31857660 32345900 33106980 33981504 34248600 35314112 35397400 37479600 37521244 37625760 38815080 39728376 39822075 41383725 41806400 42476880 43941600 44142640 45664800 46578096 46901555 47032200 48518850 49660470 49972800 50972256 51753440 52971168 53096100 54797760 55178300 56281866 56635840 58222620 62104128 62709600 63715320 64691800 66213960 68497200 70794800 72778275 74959200 75042488 75251520 77630160 79456752 79644150 82767450 84422799 84953760 87883200 88285280 91329600 93156192 93803110 94064400 97037700 99320940 101944512 103506880 105942336 106192200 110356600 112563732 116445240 124151175 125419200 127430640 129383600 132427920 136994400 140704665 141589600 145556550 149918400 150084976 155260320 158913504 159288300 165534900 168845598 169907520 176570560 186312384 187606220 188128800 194075400 198641880 212384400 220713200 225127464 232890480 234507775 248302350 254861280 258767200 264855840 273988800 281409330 283179200 291113100 300169952 310520640 317827008 318576600 331069800 337691196 375212440 376257600 388150800 397283760 422113995 424768800 441426400 450254928 465780960 469015550 496604700 509722560 517534400 529711680 562818660 582226200 600339904 637153200 662139600 675382392 703523325 750424880 776301600 794567520 844227990 849537600 882852800 900509856 931561920 938031100 993209400 1125637320 1164452400 1274306400 1324279200 1350764784 1407046650 1500849760 1552603200 1589135040 1688455980 1801019712 1876062200 1986418800 2110569975 2251274640 2328904800 2548612800 2648558400 2701529568 2814093300 3001699520 3376911960 3752124400 3972837600 4221139950 4502549280 4657809600 5403059136 5628186600 6753823920 7504248800 7945675200 8442279900 9005098560 11256373200 13507647840 15008497600 16884559800 22512746400 27015295680 33769119600 45025492800 67538239200 135076478400
• Sum of all divisors σ(n): 537277665600
• Sum of proper divisors (its aliquot sum) s(n): 402201187200
• 135076478400 is an abundant number, because the sum of its proper divisors (402201187200) is greater than itself. Its abundance is 267124708800

Bases of 135076478400

• Binary: 1111101110011001011110111110111000000₂
• Hexadecimal: 0x1F732F7DC0
• Base-36: 1Q1X1PS0

Squares and roots of 135076478400

• 135076478400 squared (135076478400²) is 18245655016945666560000
• 135076478400 cubed (135076478400³) is 2464558825790312963065442304000000
• The square root of 135076478400 is 367527.5206021993
• The cube root of 135076478400 is 5130.8963699337

Scales and comparisons

• 135,076,478,400 seconds is equal to 4,295 years, 5 days, 4 hours.
• To count from 1 to 135,076,478,400 would take you about eight thousand, five hundred ninety 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 135076478400 cubic inches would be around 427.6 feet tall.

Recreational maths with 135076478400

• 135076478400 backwards is 004874670531
• 135076478400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135076478400's digits is 45
• More coming soon!