136148968800
136,148,968,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 136148968800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
136148968800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 136148968800:
25 × 33 × 52 × 133 × 19 × 151
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 19 × 151)See below for interesting mathematical facts about the number 136148968800 from the Numbermatics database.
Names of 136148968800
- Cardinal: 136148968800 can be written as One hundred thirty-six billion, one hundred forty-eight million, nine hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.361489688 × 1011
Factors of 136148968800
Divisors of 136148968800
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 32 36 38 39 40 45 48 50 52 54 57 60 65 72 75 76 78 80 90 95 96 100 104 108 114 117 120 130 135 144 150 151 152 156 160 169 171 180 190 195 200 208 216 225 228 234 240 247 260 270 285 288 300 302 304 312 325 338 342 351 360 380 390 400 416 432 450 453 456 468 475 480 494 507 513 520 540 570 585 600 604 608 624 650 675 676 684 702 720 741 755 760 780 800 845 855 864 900 906 912 936 950 975 988 1014 1026 1040 1080 1140 1170 1200 1208 1235 1248 1300 1350 1352 1359 1368 1404 1425 1440 1482 1510 1520 1521 1560 1690 1710 1755 1800 1812 1824 1872 1900 1950 1963 1976 2028 2052 2080 2160 2197 2223 2265 2280 2340 2400 2416 2470 2535 2565 2600 2700 2704 2718 2736 2808 2850 2869 2925 2964 3020 3040 3042 3120 3211 3380 3420 3510 3600 3624 3705 3744 3775 3800 3900 3926 3952 4056 4077 4104 4225 4275 4320 4394 4446 4530 4560 4563 4680 4832 4940 5070 5130 5200 5400 5408 5436 5472 5616 5700 5738 5850 5889 5928 6040 6084 6175 6240 6422 6591 6669 6760 6795 6840 7020 7200 7248 7410 7550 7600 7605 7800 7852 7904 8112 8154 8208 8450 8550 8607 8775 8788 8892 9060 9120 9126 9360 9633 9815 9880 10140 10260 10400 10800 10872 10985 11115 11232 11325 11400 11476 11700 11778 11856 12080 12168 12350 12675 12825 12844 13182 13338 13520 13590 13680 14040 14345 14496 14820 15100 15200 15210 15600 15704 16055 16224 16308 16416 16900 17100 17214 17550 17576 17667 17784 18120 18252 18525 18720 19266 19630 19760 19773 20280 20385 20520 21600 21744 21970 22230 22650 22800 22815 22952 23400 23556 23712 24160 24336 24700 25350 25519 25650 25688 25821 26364 26676 27040 27180 27360 28080 28690 28899 29445 29640 30200 30420 31200 31408 32110 32616 32955 33345 33800 33975 34200 34428 35100 35152 35334 35568 36240 36504 37050 37297 38025 38532 39260 39520 39546 40560 40770 41040 41743 43035 43488 43940 44460 45300 45600 45630 45904 46800 47112 48165 48672 49075 49400 50700 51038 51300 51376 51642 52728 53001 53352 54360 54925 55575 56160 57380 57798 58890 59280 59319 60400 60840 62816 64220 65232 65910 66690 67600 67950 68400 68856 70200 70304 70668 71136 71725 72480 73008 74100 74594 76050 76557 77064 77463 78520 79092 80275 81120 81540 82080 83486 86070 86697 87880 88335 88920 90600 91260 91808 93600 94224 96330 98150 98800 98865 101400 101925 102076 102600 102752 103284 105456 106002 106704 108720 109850 111150 111891 114075 114760 115596 117780 118560 118638 120800 121680 125229 127595 128440 129105 130464 131820 133380 135200 135900 136800 137712 140400 141336 143450 144495 146016 147225 148200 149188 152100 153114 154128 154926 157040 158184 160550 163080 164775 166725 166972 172140 173394 175760 176670 177840 181200 182520 186485 188448 192660 196300 197600 197730 202800 203850 204152 205200 206568 208715 210912 212004 213408 215175 217440 219700 222300 223782 228150 229520 229671 231192 235560 237276 240825 243360 250458 255190 256880 258210 263640 265005 266760 271800 275424 280800 282672 286900 288990 294450 296400 296595 298376 304200 306228 308256 309852 314080 316368 321100 326160 329550 331747 333450 333944 335673 344280 346788 351520 353340 355680 362400 365040 372970 375687 382785 385320 387315 392600 395460 405600 407700 408304 410400 413136 417430 424008 430350 433485 439400 441675 444600 447564 456300 459040 459342 462384 471120 474552 481650 484861 494325 500916 510380 513760 516420 527280 530010 533520 543600 559455 565344 573800 577980 588900 592800 593190 596752 608400 612456 619704 626145 632736 637975 642200 645525 652320 659100 663494 666900 667888 671346 688560 689013 693576 706680 722475 730080 745940 751374 765570 770640 774630 785200 790920 815400 816608 826272 834860 848016 860700 866970 878800 883350 889200 895128 912600 918684 924768 932425 942240 949104 963300 969722 988650 995241 1001832 1007019 1020760 1032840 1043575 1054560 1060020 1067040 1087200 1118910 1127061 1147600 1148355 1155960 1177800 1186380 1193504 1216800 1224912 1239408 1252290 1275950 1284400 1291050 1318200 1325025 1326988 1333800 1335776 1342692 1377120 1378026 1387152 1413360 1444950 1454583 1482975 1491880 1502748 1531140 1541280 1549260 1570400 1581840 1630800 1658735 1669720 1678365 1696032 1721400 1733940 1757600 1766700 1778400 1790256 1825200 1837368 1864850 1878435 1898208 1913925 1926600 1936575 1939444 1977300 1990482 2003664 2014038 2041520 2065680 2087150 2120040 2167425 2237820 2254122 2295200 2296710 2311920 2355600 2372760 2424305 2449824 2478816 2504580 2551900 2568800 2582100 2636400 2650050 2653976 2667600 2685384 2756052 2774304 2797275 2826720 2889900 2909166 2965950 2983760 2985723 3005496 3062280 3098520 3130725 3163680 3261600 3317470 3339440 3356730 3442800 3445065 3467880 3533400 3580512 3650400 3674736 3729700 3756870 3827850 3853200 3873150 3878888 3954600 3980964 4007328 4028076 4083040 4131360 4174300 4240080 4334850 4363749 4475640 4508244 4593420 4623840 4711200 4745520 4848610 4976205 5009160 5035095 5103800 5164200 5272800 5300100 5307952 5335200 5370768 5512104 5594550 5635305 5741775 5779800 5818332 5931900 5967520 5971446 6010992 6124560 6197040 6261450 6303193 6634940 6678880 6713460 6885600 6890130 6935760 7066800 7272915 7349472 7459400 7513740 7655700 7706400 7746300 7757776 7909200 7961928 8056152 8293675 8348600 8391825 8480160 8669700 8727498 8951280 8957169 9016488 9186840 9392175 9491040 9697220 9952410 10018320 10070190 10207600 10328400 10600200 10615904 10741536 11024208 11189100 11270610 11483550 11559600 11636664 11863800 11942892 12021984 12121525 12249120 12394080 12522900 12606386 13091247 13269880 13426920 13780260 13871520 14133600 14545830 14918800 14928615 15027480 15311400 15492600 15515552 15818400 15923856 16112304 16587350 16697200 16783650 17225325 17339400 17454996 17902560 17914338 18032976 18373680 18784350 18909579 19394440 19904820 20036640 20140380 20415200 20656800 21200400 21818745 22048416 22378200 22541220 22967100 23119200 23273328 23727600 23885784 24243050 24881025 25045800 25175475 25212772 26182494 26539760 26853840 27560520 28176525 29091660 29837600 29857230 30054960 30622800 30985200 31515965 31847712 32224608 33174700 33394400 33567300 34450650 34678800 34909992 35828676 36065952 36364575 36747360 37568700 37819158 38788880 39809640 40280760 42400800 43637490 44756400 44785845 45082440 45934200 46546656 47455200 47771568 48486100 49762050 50091600 50350950 50425544 52364988 53079520 53707680 55121040 56353050 56728737 58183320 59714460 60109920 61245600 61970400 63031930 65456235 66349400 67134600 68901300 69357600 69819984 71657352 72729150 74643075 75137400 75638316 77577760 79619280 80561520 87274980 89512800 89571690 90164880 91868400 94547895 95543136 96972200 99524100 100183200 100701900 100851088 104729976 109093725 110242080 112706100 113457474 116366640 119428920 126063860 130912470 132698800 134269200 137802600 139639968 143314704 145458300 149286150 150274800 151276632 157579825 159238560 161123040 170186211 174549960 179143380 180329760 183736800 189095790 193944400 199048200 201403800 201702176 209459952 218187450 223929225 225412200 226914948 232733280 238857840 252127720 261824940 265397600 268538400 275605200 283643685 286629408 290916600 298572300 300549600 302553264 315159650 327281175 340372422 349099920 358286760 378191580 387888800 398096400 402807600 418919904 436374900 447858450 450824400 453829896 472739475 477715680 504255440 523649880 551210400 567287370 581833200 597144600 605106528 630319300 654562350 680744844 698199840 716573520 756383160 796192800 805615200 850931055 872749800 895716900 901648800 907659792 945478950 1008510880 1047299760 1134574740 1163666400 1194289200 1260638600 1309124700 1361489688 1418218425 1433147040 1512766320 1701862110 1745499600 1791433800 1815319584 1890957900 2094599520 2269149480 2388578400 2521277200 2618249400 2722979376 2836436850 3025532640 3403724220 3490999200 3582867600 3781915800 4254655275 4538298960 5042554400 5236498800 5445958752 5672873700 6807448440 7165735200 7563831600 8509310550 9076597920 10472997600 11345747400 13614896880 15127663200 17018621100 22691494800 27229793760 34037242200 45382989600 68074484400 136148968800
- Sum of all divisors σ(n): 565213824000
- Sum of proper divisors (its aliquot sum) s(n): 429064855200
- 136148968800 is an abundant number, because the sum of its proper divisors (429064855200) is greater than itself. Its abundance is 292915886400
Bases of 136148968800
- Binary: 11111101100110001110001100101011000002
- Hexadecimal: 0x1FB31C6560
- Base-36: 1QJNKWO0
Squares and roots of 136148968800
- 136148968800 squared (1361489688002) is 18536541705303373440000
- 136148968800 cubed (1361489688003) is 2523731038295247785017308672000000
-
The
square root of 136148968800 is 368983.6972008385 -
The
cube root of 136148968800 is 5144.4401468183
Scales and comparisons
How big is 136148968800?- 136,148,968,800 seconds is equal to 4,329 years, 6 weeks, 6 hours.
-
To count from 1 to 136,148,968,800 would take you about eight thousand, six hundred fifty-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 136148968800 cubic inches would be around 428.7 feet tall.
Recreational maths with 136148968800
- 136148968800 backwards is 008869841631
- 136148968800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 136148968800's digits is 54
- More coming soon!
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The information we have on file for 136148968800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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