135748972800

Names of 135748972800

• Cardinal: 135748972800 can be written as One hundred thirty-five billion, seven hundred forty-eight million, nine hundred seventy-two thousand, eight hundred.

Scientific notation

• Scientific notation: 1.357489728 × 10¹¹

Factors of 135748972800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 6888

Divisors of 135748972800

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 126 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 252 256 280 288 294 300 315 320 336 343 350 360 384 392 400 420 441 448 450 480 490 504 525 560 576 588 600 630 640 672 686 700 720 735 768 784 800 840 882 896 900 960 980 1008 1029 1050 1120 1152 1176 1200 1225 1260 1280 1344 1372 1400 1440 1470 1568 1575 1600 1680 1715 1764 1792 1800 1920 1960 2016 2058 2100 2205 2240 2304 2352 2400 2450 2520 2688 2744 2800 2880 2940 3087 3136 3150 3200 3360 3430 3528 3600 3675 3840 3920 4032 4116 4200 4410 4480 4704 4800 4900 5040 5145 5376 5488 5600 5760 5880 6174 6272 6300 6400 6720 6860 6871 7056 7200 7350 7840 8064 8232 8400 8575 8820 8960 9408 9600 9800 10080 10290 10976 11025 11200 11520 11760 12348 12544 12600 13440 13720 13742 14112 14400 14700 15435 15680 16128 16464 16800 17150 17640 18816 19200 19600 20160 20580 20613 21952 22050 22400 23520 24696 25200 25725 26880 27440 27484 28224 28800 29400 30870 31360 32928 33600 34300 34355 35280 37632 39200 40320 41160 41226 43904 44100 44800 47040 48097 49392 50400 51450 54880 54968 56448 57600 58800 61740 61839 62720 65856 67200 68600 68710 70560 77175 78400 80640 82320 82452 87808 88200 94080 96194 98784 100800 102900 103065 109760 109936 112896 117600 123480 123678 131712 134400 137200 137420 141120 144291 154350 156800 164640 164904 171775 176400 188160 192388 197568 201600 205800 206130 219520 219872 235200 240485 246960 247356 263424 274400 274840 282240 288582 308700 309195 313600 329280 329808 336679 343550 352800 384776 395136 403200 411600 412260 432873 439040 439744 470400 480970 493920 494712 515325 548800 549680 564480 577164 617400 618390 658560 659616 673358 687100 705600 721455 769552 790272 823200 824520 865746 879488 940800 961940 987840 989424 1010037 1030650 1097600 1099360 1154328 1202425 1234800 1236780 1317120 1319232 1346716 1374200 1411200 1442910 1539104 1545975 1646400 1649040 1683395 1731492 1758976 1923880 1975680 1978848 2020074 2061300 2164365 2195200 2198720 2308656 2356753 2404850 2469600 2473560 2638464 2693432 2748400 2822400 2885820 3030111 3078208 3091950 3292800 3298080 3366790 3462984 3607275 3847760 3951360 3957696 4040148 4122600 4328730 4397440 4617312 4713506 4809700 4939200 4947120 5050185 5276928 5386864 5496800 5771640 6060222 6156416 6183900 6585600 6596160 6733580 6925968 7070259 7214550 7695520 7915392 8080296 8245200 8416975 8657460 8794880 9234624 9427012 9619400 9878400 9894240 10100370 10773728 10821825 10993600 11543280 11783765 12120444 12312832 12367800 13192320 13467160 13851936 14140518 14429100 15150555 15391040 15830784 16160592 16490400 16833950 17314920 18469248 18854024 19238800 19756800 19788480 20200740 21210777 21547456 21643650 21987200 23086560 23567530 24240888 24735600 25250925 26384640 26934320 27703872 28281036 28858200 30301110 30782080 32321184 32980800 33667900 34629840 35351295 36938496 37708048 38477600 39576960 40401480 42421554 43094912 43287300 43974400 46173120 47135060 48481776 49471200 50501850 53868640 55407744 56562072 57716400 58918825 60602220 61564160 64642368 65961600 67335800 69259680 70702590 75416096 75752775 76955200 79153920 80802960 84843108 86189824 86574600 92346240 94270120 96963552 98942400 101003700 106053885 107737280 110815488 113124144 115432800 117837650 121204440 129284736 131923200 134671600 138519360 141405180 150832192 151505550 153910400 161605920 169686216 173149200 176756475 184692480 188540240 193927104 197884800 202007400 212107770 215474560 226248288 230865600 235675300 242408880 258569472 269343200 277038720 282810360 301664384 303011100 307820800 323211840 339372432 346298400 353512950 377080480 387854208 395769600 404014800 424215540 430949120 452496576 461731200 471350600 484817760 530269425 538686400 554077440 565620720 603328768 606022200 646423680 678744864 692596800 707025900 754160960 775708416 808029600 848431080 904993152 923462400 942701200 969635520 1060538850 1077372800 1131241440 1212044400 1292847360 1357489728 1385193600 1414051800 1508321920 1616059200 1696862160 1809986304 1885402400 1939271040 2121077700 2154745600 2262482880 2424088800 2714979456 2770387200 2828103600 3016643840 3232118400 3393724320 3770804800 3878542080 4242155400 4524965760 4848177600 5429958912 5656207200 6464236800 6787448640 7541609600 8484310800 9049931520 9696355200 11312414400 13574897280 15083219200 16968621600 19392710400 22624828800 27149794560 33937243200 45249657600 67874486400 135748972800
• Sum of all divisors σ(n): 566068630400
• Sum of proper divisors (its aliquot sum) s(n): 430319657600
• 135748972800 is an abundant number, because the sum of its proper divisors (430319657600) is greater than itself. Its abundance is 294570684800

Bases of 135748972800

• Binary: 1111110011011010001001111000100000000₂
• Hexadecimal: 0x1F9B44F100
• Base-36: 1QD1FLS0

Squares and roots of 135748972800

• 135748972800 squared (135748972800²) is 18427783616255139840000
• 135748972800 cubed (135748972800³) is 2501552696887304616000356352000000
• The square root of 135748972800 is 368441.2745608179
• The cube root of 135748972800 is 5139.3972050697

Scales and comparisons

• 135,748,972,800 seconds is equal to 4,316 years, 20 weeks, 4 days, 16 hours.
• To count from 1 to 135,748,972,800 would take you about eight thousand, six hundred thirty-two 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 135748972800 cubic inches would be around 428.3 feet tall.

Recreational maths with 135748972800

• 135748972800 backwards is 008279847531
• The number of decimal digits it has is: 12
• The sum of 135748972800's digits is 54
• More coming soon!