120135324960

Names of 120135324960

• Cardinal: 120135324960 can be written as One hundred twenty billion, one hundred thirty-five million, three hundred twenty-four thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.2013532496 × 10¹¹

Factors of 120135324960

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 69733

Divisors of 120135324960

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 27 28 30 32 35 36 38 40 42 45 48 54 56 57 60 63 70 72 76 80 81 84 90 95 96 105 108 112 114 120 126 133 135 140 144 152 160 162 168 171 180 189 190 210 216 224 228 240 252 266 270 280 285 288 304 315 324 336 342 360 378 380 399 405 420 432 456 480 504 513 532 540 560 567 570 608 630 648 665 672 684 720 756 760 798 810 840 855 864 912 945 1008 1026 1064 1080 1120 1134 1140 1197 1260 1296 1330 1368 1440 1512 1520 1539 1596 1620 1680 1710 1824 1890 1995 2016 2052 2128 2160 2268 2280 2394 2520 2565 2592 2660 2736 2835 3024 3040 3078 3192 3240 3360 3420 3591 3780 3990 4104 4256 4320 4536 4560 4788 5040 5130 5320 5472 5670 5985 6048 6156 6384 6480 6840 7182 7560 7695 7980 8208 9072 9120 9576 10080 10260 10640 10773 11340 11970 12312 12768 12960 13680 14364 15120 15390 15960 16416 17955 18144 19152 20520 21280 21546 22680 23940 24624 27360 28728 30240 30780 31920 35910 38304 41040 43092 45360 47880 49248 53865 57456 61560 63840 69697 71820 82080 86184 90720 95760 107730 114912 123120 139394 143640 172368 191520 209091 215460 246240 278788 287280 344736 348485 418182 430920 487879 557576 574560 627273 696970 836364 861840 975758 1045455 1115152 1254546 1324243 1393940 1463637 1672728 1723680 1881819 1951516 2090910 2230304 2439395 2509092 2648486 2787880 2927274 3136365 3345456 3763638 3903032 3972729 4181820 4390911 4878790 5018184 5296972 5575760 5645457 5854548 6272730 6621215 6690912 7318185 7527276 7806064 7945458 8363640 8781822 9269701 9409095 9757580 10036368 10593944 11151520 11290914 11709096 11918187 12545460 13172733 13242430 14636370 15054552 15612128 15890916 16727280 17563644 18539402 18818190 19515160 19863645 20072736 21187888 21954555 22581828 23418192 23836374 25090920 26345466 26484860 27809103 28227285 29272740 30109104 31781832 33454560 35127288 35754561 37078804 37636380 39030320 39518199 39727290 42375776 43909110 45163656 46348505 46836384 47672748 50181840 52690932 52969720 55618206 56454570 58545480 59590935 60218208 63563664 65863665 70254576 71509122 74157608 75272760 78060640 79036398 79454580 83427309 87818220 90327312 92697010 95345496 100363680 105381864 105939440 107263683 111236412 112909140 117090960 119181870 127127328 131727330 139045515 140509152 143018244 148315216 150545520 158072796 158909160 166854618 175636440 178772805 180654624 185394020 190690992 197590995 210763728 211878880 214527366 222472824 225818280 234181920 238363740 250281927 263454660 278091030 286036488 296630432 301091040 316145592 317818320 333709236 351272880 357545610 370788040 381381984 395181990 417136545 421527456 429054732 444945648 451636560 476727480 500563854 526909320 536318415 556182060 572072976 632291184 635636640 667418472 702545760 715091220 741576080 750845781 790363980 834273090 858109464 889891296 903273120 953454960 1001127708 1053818640 1072636830 1112364120 1144145952 1251409635 1264582368 1334836944 1430182440 1483152160 1501691562 1580727960 1668546180 1716218928 1906909920 2002255416 2107637280 2145273660 2224728240 2502819270 2669673888 2860364880 3003383124 3161455920 3337092360 3432437856 3754228905 4004510832 4290547320 4449456480 5005638540 5720729760 6006766248 6322911840 6674184720 7508457810 8009021664 8581094640 10011277080 12013532496 13348369440 15016915620 17162189280 20022554160 24027064992 30033831240 40045108320 60067662480 120135324960
• Sum of all divisors σ(n): 510055539840
• Sum of proper divisors (its aliquot sum) s(n): 389920214880
• 120135324960 is an abundant number, because the sum of its proper divisors (389920214880) is greater than itself. Its abundance is 269784889920

Bases of 120135324960

• Binary: 1101111111000100111111001010100100000₂
• Hexadecimal: 0x1BF89F9520
• Base-36: 1J6TGY00

Squares and roots of 120135324960

• 120135324960 squared (120135324960²) is 14432496303244799001600
• 120135324960 cubed (120135324960³) is 1733852633374312630487099559936000
• The square root of 120135324960 is 346605.4312326915
• The cube root of 120135324960 is 4934.2775635225

Scales and comparisons

• 120,135,324,960 seconds is equal to 3,819 years, 48 weeks, 3 days, 3 hours, 36 minutes.
• To count from 1 to 120,135,324,960 would take you about seven thousand, six hundred thirty-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 120135324960 cubic inches would be around 411.2 feet tall.

Recreational maths with 120135324960

• 120135324960 backwards is 069423531021
• 120135324960 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 120135324960's digits is 36
• More coming soon!