132653664000
132,653,664,000 is an even composite number composed of six prime numbers multiplied together.
132653664000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 132653664000:
28 × 32 × 53 × 11 × 13 × 3221
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 3221)See below for interesting mathematical facts about the number 132653664000 from the Numbermatics database.
Names of 132653664000
- Cardinal: 132653664000 can be written as One hundred thirty-two billion, six hundred fifty-three million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.32653664 × 1011
Factors of 132653664000
Divisors of 132653664000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 32 33 36 39 40 44 45 48 50 52 55 60 64 65 66 72 75 78 80 88 90 96 99 100 104 110 117 120 125 128 130 132 143 144 150 156 160 165 176 180 192 195 198 200 208 220 225 234 240 250 256 260 264 275 286 288 300 312 320 325 330 352 360 375 384 390 396 400 416 429 440 450 468 480 495 500 520 528 550 572 576 585 600 624 640 650 660 704 715 720 750 768 780 792 800 825 832 858 880 900 936 960 975 990 1000 1040 1056 1100 1125 1144 1152 1170 1200 1248 1280 1287 1300 1320 1375 1408 1430 1440 1500 1560 1584 1600 1625 1650 1664 1716 1760 1800 1872 1920 1950 1980 2000 2080 2112 2145 2200 2250 2288 2304 2340 2400 2475 2496 2574 2600 2640 2750 2816 2860 2880 2925 3000 3120 3168 3200 3221 3250 3300 3328 3432 3520 3575 3600 3744 3840 3900 3960 4000 4125 4160 4224 4290 4400 4500 4576 4680 4800 4875 4950 4992 5148 5200 5280 5500 5720 5760 5850 6000 6240 6336 6400 6435 6442 6500 6600 6864 7040 7150 7200 7488 7800 7920 8000 8250 8320 8448 8580 8800 9000 9152 9360 9600 9663 9750 9900 9984 10296 10400 10560 10725 11000 11440 11520 11700 12000 12375 12480 12672 12870 12884 13000 13200 13728 14080 14300 14400 14625 14976 15600 15840 16000 16105 16500 16640 17160 17600 17875 18000 18304 18720 19200 19326 19500 19800 20592 20800 21120 21450 22000 22880 23400 24000 24750 24960 25344 25740 25768 26000 26400 27456 28600 28800 28989 29250 29952 31200 31680 32000 32175 32210 33000 34320 35200 35431 35750 36000 36608 37440 38652 39000 39600 41184 41600 41873 42240 42900 44000 45760 46800 48000 48315 49500 49920 51480 51536 52000 52800 53625 54912 57200 57600 57978 58500 62400 63360 64350 64420 66000 68640 70400 70862 71500 72000 74880 77304 78000 79200 80525 82368 83200 83746 85800 88000 91520 93600 96000 96630 99000 102960 103072 104000 105600 106293 107250 109824 114400 115956 117000 124800 125619 126720 128700 128840 132000 137280 141724 143000 144000 144945 149760 154608 156000 158400 160875 161050 164736 167492 171600 176000 177155 183040 187200 193260 198000 205920 206144 208000 209365 211200 212586 214500 228800 231912 234000 241575 249600 251238 257400 257680 264000 274560 283448 286000 288000 289890 309216 312000 316800 318879 321750 322100 329472 334984 343200 352000 354310 374400 376857 386520 396000 402625 411840 412288 416000 418730 425172 429000 457600 460603 463824 468000 483150 502476 514800 515360 528000 531465 549120 566896 572000 579780 618432 624000 628095 633600 637758 643500 644200 669968 686400 708620 724725 748800 753714 773040 792000 805250 823680 824576 837460 850344 858000 885775 915200 921206 927648 936000 966300 1004952 1029600 1030720 1046825 1056000 1062930 1133792 1144000 1159560 1207875 1236864 1248000 1256190 1275516 1287000 1288400 1339936 1372800 1381809 1417240 1449450 1507428 1546080 1584000 1594395 1610500 1647360 1674920 1700688 1716000 1771550 1842412 1855296 1872000 1884285 1932600 2009904 2059200 2061440 2093650 2125860 2267584 2288000 2303015 2319120 2415750 2473728 2512380 2551032 2574000 2576800 2657325 2679872 2745600 2763618 2834480 2898900 3014856 3092160 3140475 3168000 3188790 3221000 3349840 3401376 3432000 3543100 3623625 3684824 3710592 3744000 3768570 3865200 4019808 4118400 4122880 4145427 4187300 4251720 4428875 4535168 4576000 4606030 4638240 4831500 5024760 5102064 5148000 5153600 5234125 5314650 5359744 5527236 5668960 5797800 6029712 6184320 6280950 6377580 6442000 6699680 6802752 6864000 6909045 7086200 7247250 7369648 7421184 7537140 7730400 7971975 8039616 8236800 8290854 8374600 8503440 8857750 9070336 9212060 9276480 9421425 9663000 10049520 10204128 10296000 10307200 10468250 10629300 10719488 11054472 11337920 11515075 11595600 12059424 12368640 12561900 12755160 12884000 13286625 13399360 13605504 13728000 13818090 14172400 14494500 14739296 15074280 15460800 15702375 15943950 16079232 16581708 16749200 17006880 17715500 18424120 18552960 18842850 19326000 20099040 20408256 20592000 20614400 20727135 20936500 21258600 22108944 22675840 23030150 23191200 24118848 25123800 25510320 25768000 26573250 26798720 27211008 27636180 28344800 28989000 29478592 30148560 30921600 31404750 31887900 32158464 33163416 33498400 34013760 34545225 35431000 36848240 37105920 37685700 38652000 39859875 40198080 40816512 41184000 41454270 41873000 42517200 44217888 45351680 46060300 46382400 47107125 48237696 50247600 51020640 51536000 53146500 53597440 55272360 56689600 57575375 57978000 58957184 60297120 61843200 62809500 63775800 66326832 66996800 68027520 69090450 70862000 73696480 75371400 77304000 79719750 80396160 81633024 82908540 83746000 85034400 88435776 92120600 92764800 94214250 96475392 100495200 102041280 103072000 103635675 106293000 110544720 113379200 115150750 115956000 117914368 120594240 125619000 127551600 132653664 133993600 136055040 138180900 141724000 147392960 150742800 154608000 159439500 160792320 165817080 167492000 170068800 172726125 176871552 184241200 185529600 188428500 200990400 204082560 207271350 212586000 221089440 226758400 230301500 231912000 241188480 251238000 255103200 265307328 267987200 276361800 283448000 294785920 301485600 309216000 318879000 331634160 334984000 340137600 345452250 353743104 368482400 376857000 401980800 408165120 414542700 425172000 442178880 460603000 463824000 482376960 502476000 510206400 518178375 530614656 552723600 566896000 589571840 602971200 637758000 663268320 669968000 680275200 690904500 736964800 753714000 803961600 829085400 850344000 884357760 921206000 927648000 1004952000 1020412800 1036356750 1061229312 1105447200 1133792000 1205942400 1275516000 1326536640 1339936000 1381809000 1473929600 1507428000 1658170800 1700688000 1768715520 1842412000 2009904000 2040825600 2072713500 2210894400 2411884800 2551032000 2653073280 2763618000 2947859200 3014856000 3316341600 3401376000 3684824000 4019808000 4145427000 4421788800 5102064000 5306146560 5527236000 6029712000 6632683200 7369648000 8290854000 8843577600 10204128000 11054472000 12059424000 13265366400 14739296000 16581708000 22108944000 26530732800 33163416000 44217888000 66326832000 132653664000
- Sum of all divisors σ(n): 560949375168
- Sum of proper divisors (its aliquot sum) s(n): 428295711168
- 132653664000 is an abundant number, because the sum of its proper divisors (428295711168) is greater than itself. Its abundance is 295642047168
Bases of 132653664000
- Binary: 11110111000101100011001000111000000002
- Hexadecimal: 0x1EE2C64700
- Base-36: 1OXUKE80
Squares and roots of 132653664000
- 132653664000 squared (1326536640002) is 17596994572624896000000
- 132653664000 cubed (1326536640003) is 2334305805446806552018944000000000
-
The
square root of 132653664000 is 364216.5070394255 -
The
cube root of 132653664000 is 5100.0341404865
Scales and comparisons
How big is 132653664000?- 132,653,664,000 seconds is equal to 4,217 years, 50 weeks, 5 days, 8 hours.
-
To count from 1 to 132,653,664,000 would take you about eight thousand, four hundred thirty-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 132653664000 cubic inches would be around 425 feet tall.
Recreational maths with 132653664000
- 132653664000 backwards is 000466356231
- 132653664000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132653664000's digits is 36
- More coming soon!
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