135001036800
135,001,036,800 is an even composite number composed of five prime numbers multiplied together.
135001036800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135001036800:
211 × 33 × 52 × 72 × 1993
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 1993)See below for interesting mathematical facts about the number 135001036800 from the Numbermatics database.
Names of 135001036800
- Cardinal: 135001036800 can be written as One hundred thirty-five billion, one million, thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.350010368 × 1011
Factors of 135001036800
Divisors of 135001036800
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 120 126 128 135 140 144 147 150 160 168 175 180 189 192 196 200 210 216 224 225 240 245 252 256 270 280 288 294 300 315 320 336 350 360 378 384 392 400 420 432 441 448 450 480 490 504 512 525 540 560 576 588 600 630 640 672 675 700 720 735 756 768 784 800 840 864 882 896 900 945 960 980 1008 1024 1050 1080 1120 1152 1176 1200 1225 1260 1280 1323 1344 1350 1400 1440 1470 1512 1536 1568 1575 1600 1680 1728 1764 1792 1800 1890 1920 1960 1993 2016 2048 2100 2160 2205 2240 2304 2352 2400 2450 2520 2560 2646 2688 2700 2800 2880 2940 3024 3072 3136 3150 3200 3360 3456 3528 3584 3600 3675 3780 3840 3920 3986 4032 4200 4320 4410 4480 4608 4704 4725 4800 4900 5040 5120 5292 5376 5400 5600 5760 5880 5979 6048 6144 6272 6300 6400 6615 6720 6912 7056 7168 7200 7350 7560 7680 7840 7972 8064 8400 8640 8820 8960 9216 9408 9450 9600 9800 9965 10080 10240 10584 10752 10800 11025 11200 11520 11760 11958 12096 12544 12600 12800 13230 13440 13824 13951 14112 14336 14400 14700 15120 15360 15680 15944 16128 16800 17280 17640 17920 17937 18432 18816 18900 19200 19600 19930 20160 21168 21504 21600 22050 22400 23040 23520 23916 24192 25088 25200 25600 26460 26880 27648 27902 28224 28800 29400 29895 30240 30720 31360 31888 32256 33075 33600 34560 35280 35840 35874 37632 37800 38400 39200 39860 40320 41853 42336 43008 43200 44100 44800 46080 47040 47832 48384 49825 50176 50400 51200 52920 53760 53811 55296 55804 56448 57600 58800 59790 60480 62720 63776 64512 66150 67200 69120 69755 70560 71680 71748 75264 75600 76800 78400 79720 80640 83706 84672 86400 88200 89600 89685 92160 94080 95664 96768 97657 99650 100352 100800 105840 107520 107622 111608 112896 115200 117600 119580 120960 125440 125559 127552 129024 132300 134400 138240 139510 141120 143496 149475 150528 151200 153600 156800 159440 161280 167412 169344 172800 176400 179200 179370 188160 191328 193536 195314 199300 201600 209265 211680 215040 215244 223216 225792 230400 235200 239160 241920 250880 251118 255104 264600 268800 269055 276480 279020 282240 286992 292971 298950 301056 302400 313600 318880 322560 334824 338688 345600 348775 352800 358400 358740 376320 376677 382656 387072 390628 398600 403200 418530 423360 430488 446432 448425 451584 460800 470400 478320 483840 488285 501760 502236 510208 529200 537600 538110 558040 564480 573984 585942 597900 604800 627200 627795 637760 645120 669648 677376 691200 697550 705600 717480 752640 753354 765312 781256 797200 806400 837060 846720 860976 878913 892864 896850 903168 940800 956640 967680 976570 1004472 1020416 1046325 1058400 1075200 1076220 1116080 1128960 1147968 1171884 1195800 1209600 1254400 1255590 1275520 1339296 1345275 1354752 1382400 1395100 1411200 1434960 1464855 1505280 1506708 1530624 1562512 1594400 1612800 1674120 1693440 1721952 1757826 1785728 1793700 1881600 1883385 1913280 1935360 1953140 2008944 2040832 2092650 2116800 2152440 2232160 2257920 2295936 2343768 2391600 2419200 2441425 2508800 2511180 2551040 2636739 2678592 2690550 2709504 2790200 2822400 2869920 2929710 3013416 3061248 3125024 3138975 3188800 3225600 3348240 3386880 3443904 3515652 3571456 3587400 3763200 3766770 3826560 3906280 4017888 4081664 4185300 4233600 4304880 4394565 4464320 4515840 4591872 4687536 4783200 4838400 4882850 5022360 5102080 5273478 5357184 5381100 5580400 5644800 5739840 5859420 6026832 6122496 6250048 6277950 6377600 6696480 6773760 6887808 7031304 7142912 7174800 7324275 7526400 7533540 7653120 7812560 8035776 8370600 8467200 8609760 8789130 8928640 9183744 9375072 9416925 9566400 9676800 9765700 10044720 10204160 10546956 10714368 10762200 11160800 11289600 11479680 11718840 12053664 12244992 12500096 12555900 12755200 13183695 13392960 13547520 13775616 14062608 14285824 14349600 14648550 15067080 15306240 15625120 16071552 16741200 16934400 17219520 17578260 17857280 18367488 18750144 18833850 19132800 19531400 20089440 20408320 21093912 21428736 21524400 21972825 22321600 22579200 22959360 23437680 24107328 25000192 25111800 25510400 26367390 26785920 27551232 28125216 28571648 28699200 29297100 30134160 30612480 31250240 32143104 33482400 33868800 34439040 35156520 35714560 36734976 37500288 37667700 38265600 39062800 40178880 42187824 42857472 43048800 43945650 44643200 45918720 46875360 48214656 50000384 50223600 51020800 52734780 53571840 55102464 56250432 57398400 58594200 60268320 61224960 62500480 64286208 65918475 66964800 67737600 68878080 70313040 71429120 75000576 75335400 76531200 78125600 80357760 84375648 85714944 86097600 87891300 89286400 91837440 93750720 96429312 100000768 100447200 102041600 105469560 107143680 110204928 112500864 114796800 117188400 120536640 125000960 128572416 131836950 133929600 137756160 140626080 142858240 150001152 150670800 153062400 156251200 160715520 168751296 172195200 175782600 178572800 183674880 187501440 192858624 200001536 200894400 210939120 214287360 225001728 229593600 234376800 241073280 250001920 257144832 263673900 267859200 275512320 281252160 300002304 301341600 306124800 312502400 321431040 337502592 344390400 351565200 357145600 375002880 385717248 401788800 421878240 428574720 450003456 459187200 468753600 482146560 500003840 527347800 535718400 551024640 562504320 600004608 602683200 625004800 642862080 675005184 688780800 703130400 714291200 750005760 771434496 803577600 843756480 900006912 918374400 937507200 964293120 1000007680 1054695600 1071436800 1125008640 1205366400 1250009600 1285724160 1350010368 1377561600 1406260800 1500011520 1607155200 1687512960 1800013824 1875014400 1928586240 2109391200 2142873600 2250017280 2410732800 2500019200 2700020736 2755123200 2812521600 3000023040 3214310400 3375025920 3750028800 3857172480 4218782400 4500034560 4821465600 5000038400 5400041472 5625043200 6428620800 6750051840 7500057600 8437564800 9000069120 9642931200 11250086400 13500103680 15000115200 16875129600 19285862400 22500172800 27000207360 33750259200 45000345600 67500518400 135001036800
- Sum of all divisors σ(n): 577132592400
- Sum of proper divisors (its aliquot sum) s(n): 442131555600
- 135001036800 is an abundant number, because the sum of its proper divisors (442131555600) is greater than itself. Its abundance is 307130518800
Bases of 135001036800
- Binary: 11111011011101011000001011000000000002
- Hexadecimal: 0x1F6EB05800
- Base-36: 1Q0O4QO0
Squares and roots of 135001036800
- 135001036800 squared (1350010368002) is 18225279937074954240000
- 135001036800 cubed (1350010368003) is 2460431687475357581712556032000000
-
The
square root of 135001036800 is 367424.8723208597 -
The
cube root of 135001036800 is 5129.9409726117
Scales and comparisons
How big is 135001036800?- 135,001,036,800 seconds is equal to 4,292 years, 32 weeks.
-
To count from 1 to 135,001,036,800 would take you about eight thousand, five hundred eighty-five 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 135001036800 cubic inches would be around 427.5 feet tall.
Recreational maths with 135001036800
- 135001036800 backwards is 008630100531
- 135001036800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135001036800's digits is 27
- More coming soon!
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