220133105248000
220,133,105,248,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 220133105248000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
220133105248000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 220133105248000:
28 × 53 × 72 × 23 × 41 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 23 × 41 × 53 × 53 × 53)See below for interesting mathematical facts about the number 220133105248000 from the Numbermatics database.
Names of 220133105248000
- Cardinal: 220133105248000 can be written as Two hundred twenty trillion, one hundred thirty-three billion, one hundred five million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 2.20133105248 × 1014
Factors of 220133105248000
Divisors of 220133105248000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 41 46 49 50 53 56 64 70 80 82 92 98 100 106 112 115 125 128 140 160 161 164 175 184 196 200 205 212 224 230 245 250 256 265 280 287 320 322 328 350 368 371 392 400 410 424 448 460 490 500 530 560 574 575 640 644 656 700 736 742 784 800 805 820 848 875 896 920 943 980 1000 1025 1060 1120 1127 1148 1150 1219 1225 1280 1288 1312 1325 1400 1435 1472 1484 1568 1600 1610 1640 1696 1750 1792 1840 1855 1886 1960 2000 2009 2050 2120 2173 2240 2254 2296 2300 2438 2450 2576 2597 2624 2650 2800 2809 2870 2875 2944 2968 3136 3200 3220 3280 3392 3500 3680 3710 3772 3920 4000 4018 4025 4100 4240 4346 4480 4508 4592 4600 4715 4876 4900 5125 5152 5194 5248 5300 5600 5618 5635 5740 5750 5888 5936 6095 6125 6272 6400 6440 6560 6601 6625 6784 7000 7175 7360 7420 7544 7840 8000 8036 8050 8200 8480 8533 8692 8960 9016 9184 9200 9275 9430 9752 9800 10045 10250 10304 10388 10496 10600 10865 11200 11236 11270 11480 11500 11872 12190 12250 12544 12880 12985 13120 13202 13250 13568 14000 14045 14350 14720 14840 15088 15211 15680 16000 16072 16100 16400 16960 17066 17384 18032 18368 18400 18550 18860 19504 19600 19663 20090 20125 20500 20608 20776 21200 21730 22400 22472 22540 22960 23000 23575 23744 24380 24500 25760 25970 26240 26404 26500 28000 28090 28175 28700 29440 29680 30176 30422 30475 31360 32000 32144 32200 32800 33005 33920 34132 34768 35875 36064 36736 36800 37100 37720 39008 39200 39326 40180 40250 41000 41216 41552 42400 42665 43460 44800 44944 45080 45920 46000 46207 46375 47150 47488 48760 49000 49979 50225 51520 51940 52480 52808 53000 54325 56000 56180 56350 57400 59360 59731 60352 60844 60950 62720 64288 64400 64607 64925 65600 66010 67840 68264 69536 70225 71750 72128 73472 73600 74200 75440 76055 78016 78400 78652 80360 80500 82000 83104 84800 85330 86920 89888 90160 91840 92000 92414 92750 94300 94976 97520 98000 98315 99958 100450 103040 103880 105616 106000 106477 108650 112000 112360 112700 114800 115169 117875 118720 119462 120704 121688 121900 128576 128800 129214 129850 131200 132020 136528 137641 139072 140450 140875 143500 144256 147200 148400 148877 150880 152110 152375 156032 156800 157304 160720 161000 164000 165025 166208 169600 170660 173840 179776 180320 183680 184000 184828 185500 188600 195040 196000 196630 199916 200900 206080 207760 211232 212000 212954 213325 217300 224000 224720 225400 229600 230338 231035 235750 237440 238924 241408 243376 243800 249895 251125 257152 257600 258428 259700 262400 264040 271625 273056 275282 278144 280900 281750 287000 288512 296800 297754 298655 301760 304220 304750 312064 313600 314608 321440 322000 323035 324625 328000 330050 332416 339200 341320 347680 349853 351125 359552 360640 367360 368000 369656 371000 377200 380275 390080 392000 393260 399832 401800 415520 422464 424000 425908 426650 434600 449440 450800 452249 459200 460676 462070 471500 474880 477848 486752 487600 491575 499790 502250 514304 515200 516856 519400 528080 532385 543250 546112 550564 556288 561800 563500 574000 575845 593600 595508 597310 603520 608440 609500 629216 642880 644000 646070 649250 656000 660100 664832 682640 688205 695360 699706 702250 719104 721280 736000 739312 742000 744385 754400 760550 780160 784000 786520 799664 803600 806183 825125 831040 844928 848000 851816 853300 869200 898880 901600 904498 918400 921352 924140 943000 955696 973504 975200 983150 999580 1004500 1030400 1033712 1038800 1042139 1056160 1064770 1066625 1086500 1092224 1101128 1123600 1127000 1148000 1151690 1155175 1187200 1191016 1194620 1207040 1216880 1219000 1249475 1258432 1285760 1288000 1292140 1298500 1312000 1320200 1365280 1376410 1390720 1399412 1404500 1442560 1478624 1484000 1488770 1493275 1508800 1521100 1560320 1568000 1573040 1599328 1607200 1612366 1615175 1650250 1662080 1689856 1696000 1703632 1706600 1738400 1749265 1797760 1803200 1808996 1836800 1842704 1848280 1886000 1901375 1911392 1947008 1950400 1966300 1999160 2009000 2067424 2077600 2084278 2112320 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49136853850 50651888000 51918185200 53691001280 54691454720 54786736000 55033276312 56156404400 58359784000 59335068800 59818778600 62895172928 64897731500 67113751600 68364318400 68791595390 70195505500 74168836000 74773473250 76568036608 76701430400 78367072000 78618966160 83069096320 83892189500 84764384000 85455398000 89850247040 90292496000 95710045760 95876788000 97663312000 98273707700 101303776000 103836370400 107382002560 109573472000 110066552624 112312808800 116719568000 118670137600 119637557200 122842134625 125790345856 129795463000 134227503200 136728636800 137583190780 140391011000 148337672000 149546946500 153402860800 157237932320 166138192640 167784379000 170910796000 171978988475 179700494080 180584992000 191420091520 191753576000 195326624000 196547415400 207672740800 214764005120 220133105248 224625617600 233439136000 239275114400 245684269250 251580691712 259590926000 268455006400 273457273600 275166381560 280782022000 296675344000 299093893000 314475864640 335568758000 341821592000 343957976950 382840183040 383507152000 393094830800 415345481600 440266210496 449251235200 478550228800 491368538500 519181852000 536910012800 550332763120 561564044000 593350688000 598187786000 628951729280 671137516000 683643184000 687915953900 767014304000 786189661600 830690963200 859894942375 880532420992 898502470400 957100457600 982737077000 1038363704000 1073820025600 1100665526240 1123128088000 1196375572000 1257903458560 1342275032000 1367286368000 1375831907800 1572379323200 1719789884750 1761064841984 1914200915200 1965474154000 2076727408000 2201331052480 2246256176000 2392751144000 2684550064000 2751663815600 3144758646400 3439579769500 3930948308000 4153454816000 4402662104960 4492512352000 4785502288000 5369100128000 5503327631200 6289517292800 6879159539000 7861896616000 8805324209920 9571004576000 11006655262400 13758319078000 15723793232000 22013310524800 27516638156000 31447586464000 44026621049600 55033276312000 110066552624000 220133105248000
- Sum of all divisors σ(n): 694993857143040
- Sum of proper divisors (its aliquot sum) s(n): 474860751895040
- 220133105248000 is an abundant number, because the sum of its proper divisors (474860751895040) is greater than itself. Its abundance is 254727646647040
Bases of 220133105248000
- Binary: 1100100000110101101110111000101010100111000000002
- Hexadecimal: 0xC835BB8AA700
- Base-36: 2613R372F4
Squares and roots of 220133105248000
- 220133105248000 squared (2201331052480002) is 48458584026127045141504000000
- 220133105248000 cubed (2201331052480003) is 10667338577592476409953947085012992000000000
-
The
square root of 220133105248000 is 14836883.2727092653 -
The
cube root of 220133105248000 is 60380.2796284747
Scales and comparisons
How big is 220133105248000?- 220,133,105,248,000 seconds is equal to 6,999,551 years, 43 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 220,133,105,248,000 would take you about seventeen million, four hundred ninety-eight thousand, eight hundred seventy-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 220133105248000 cubic inches would be around 5031.7 feet tall.
Recreational maths with 220133105248000
- 220133105248000 backwards is 000842501331022
- The number of decimal digits it has is: 15
- The sum of 220133105248000's digits is 31
- More coming soon!
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"Number 220133105248000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 220133105248000 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/220133105248000/
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The information we have on file for 220133105248000 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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