242041248000
242,041,248,000 is an even composite number composed of six prime numbers multiplied together.
242041248000 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 242041248000:
28 × 32 × 53 × 53 × 101 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 53 × 101 × 157)See below for interesting mathematical facts about the number 242041248000 from the Numbermatics database.
Names of 242041248000
- Cardinal: 242041248000 can be written as Two hundred forty-two billion, forty-one million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 2.42041248 × 1011
Factors of 242041248000
Divisors of 242041248000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 53 60 64 72 75 80 90 96 100 101 106 120 125 128 144 150 157 159 160 180 192 200 202 212 225 240 250 256 265 288 300 303 314 318 320 360 375 384 400 404 424 450 471 477 480 500 505 530 576 600 606 628 636 640 720 750 768 785 795 800 808 848 900 909 942 954 960 1000 1010 1060 1125 1152 1200 1212 1256 1272 1280 1325 1413 1440 1500 1515 1570 1590 1600 1616 1696 1800 1818 1884 1908 1920 2000 2020 2120 2250 2304 2355 2385 2400 2424 2512 2525 2544 2650 2826 2880 3000 3030 3140 3180 3200 3232 3392 3600 3636 3768 3816 3840 3925 3975 4000 4040 4240 4500 4545 4710 4770 4800 4848 5024 5050 5088 5300 5353 5652 5760 6000 6060 6280 6360 6400 6464 6625 6784 7065 7200 7272 7536 7575 7632 7850 7950 8000 8080 8321 8480 9000 9090 9420 9540 9600 9696 10048 10100 10176 10600 10706 11304 11520 11775 11925 12000 12120 12560 12625 12720 12928 13250 13568 14130 14400 14544 15072 15150 15264 15700 15857 15900 16000 16059 16160 16642 16960 18000 18180 18840 19080 19200 19392 19625 19875 20096 20200 20352 21200 21412 22608 22725 23550 23850 24000 24240 24963 25120 25250 25440 25856 26500 26765 28260 28800 29088 30144 30300 30528 31400 31714 31800 32000 32118 32320 33284 33920 35325 36000 36360 37680 37875 38160 38784 39250 39750 40192 40400 40704 41605 42400 42824 45216 45450 47100 47571 47700 48000 48177 48480 49926 50240 50500 50880 53000 53530 56520 57600 58176 58875 59625 60288 60600 61056 62800 63428 63600 64236 64640 66568 67840 70650 72000 72720 74889 75360 75750 76320 77568 78500 79285 79500 80295 80800 83210 84800 85648 90432 90900 94200 95142 95400 96000 96354 96960 99852 100480 101000 101760 106000 107060 113040 113625 116352 117750 119250 120576 121200 122112 124815 125600 126856 127200 128472 129280 133136 133825 141300 142713 144000 145440 149778 150720 151500 152640 157000 158570 159000 160590 161600 166420 169600 171296 176625 180864 181800 188400 190284 190800 192708 193920 199704 200960 202000 203520 208025 212000 214120 226080 227250 232704 235500 237855 238500 240885 242400 249630 251200 253712 254400 256944 266272 267650 282600 285426 288000 290880 299556 301440 303000 305280 314000 317140 318000 321180 323200 332840 339200 342592 353250 361728 363600 374445 376800 380568 381600 385416 387840 396425 399408 401475 404000 416050 424000 428240 452160 454500 471000 475710 477000 481770 484800 499260 502400 507424 508800 513888 532544 535300 565200 570852 581760 599112 602880 606000 610560 624075 628000 634280 636000 642360 646400 665680 669125 685184 706500 713565 727200 748890 753600 761136 763200 770832 792850 798816 802950 808000 832100 840421 848000 856480 904320 909000 942000 951420 954000 963540 969600 998520 1004800 1014848 1017600 1027776 1040125 1065088 1070600 1130400 1141704 1163520 1189275 1198224 1204425 1212000 1248150 1256000 1268560 1272000 1284720 1331360 1338250 1370368 1413000 1427130 1454400 1497780 1507200 1522272 1526400 1541664 1585700 1597632 1605900 1616000 1664200 1680842 1696000 1712960 1808640 1818000 1872225 1884000 1902840 1908000 1927080 1939200 1982125 1997040 2007375 2029696 2055552 2080250 2130176 2141200 2260800 2283408 2378550 2396448 2408850 2424000 2496300 2512000 2521263 2537120 2544000 2569440 2662720 2676500 2826000 2854260 2908800 2995560 3014400 3044544 3052800 3083328 3120375 3171400 3195264 3211800 3232000 3328400 3361684 3425920 3567825 3636000 3744450 3768000 3805680 3816000 3854160 3964250 3994080 4014750 4059392 4111104 4160500 4202105 4282400 4521600 4566816 4757100 4792896 4817700 4848000 4992600 5024000 5042526 5074240 5088000 5138880 5325440 5353000 5652000 5708520 5817600 5946375 5991120 6022125 6089088 6166656 6240750 6342800 6390528 6423600 6656800 6723368 6851840 7135650 7272000 7488900 7536000 7563789 7611360 7632000 7708320 7928500 7988160 8029500 8321000 8404210 8564800 9043200 9133632 9361125 9514200 9585792 9635400 9696000 9985200 10085052 10148480 10277760 10650880 10706000 11304000 11417040 11892750 11982240 12044250 12178176 12333312 12481500 12606315 12685600 12847200 13313600 13446736 14271300 14544000 14977800 15072000 15127578 15222720 15264000 15416640 15857000 15976320 16059000 16642000 16808420 17129600 17839125 18267264 18722250 19028400 19171584 19270800 19970400 20170104 20296960 20555520 21010525 21412000 22608000 22834080 23785500 23964480 24088500 24963000 25212630 25371200 25694400 26627200 26893472 28542600 29088000 29955600 30255156 30445440 30833280 31714000 31952640 32118000 33284000 33616840 34259200 35678250 36534528 37444500 37818945 38056800 38541600 39940800 40340208 42021050 42824000 45216000 45668160 47571000 47928960 48177000 49926000 50425260 50742400 51388800 53254400 53786944 57085200 59911200 60510312 60890880 61666560 63031575 63428000 64236000 66568000 67233680 71356500 74889000 75637890 76113600 77083200 79881600 80680416 84042100 85648000 91336320 95142000 95857920 96354000 99852000 100850520 101484800 102777600 105052625 107573888 114170400 119822400 121020624 126063150 126856000 128472000 133136000 134467360 142713000 149778000 151275780 152227200 154166400 159763200 161360832 168084200 171296000 182672640 189094725 190284000 192708000 199704000 201701040 210105250 215147776 228340800 239644800 242041248 252126300 253712000 256944000 266272000 268934720 285426000 299556000 302551560 304454400 308332800 315157875 322721664 336168400 378189450 380568000 385416000 399408000 403402080 420210500 456681600 479289600 484082496 504252600 507424000 513888000 537869440 570852000 599112000 605103120 630315750 645443328 672336800 756378900 761136000 770832000 798816000 806804160 840421000 913363200 945473625 968164992 1008505200 1075738880 1141704000 1198224000 1210206240 1260631500 1344673600 1512757800 1522272000 1541664000 1613608320 1680842000 1890947250 1936329984 2017010400 2283408000 2396448000 2420412480 2521263000 2689347200 3025515600 3227216640 3361684000 3781894500 4034020800 4566816000 4840824960 5042526000 5378694400 6051031200 6723368000 7563789000 8068041600 9681649920 10085052000 12102062400 13446736000 15127578000 16136083200 20170104000 24204124800 26893472000 30255156000 40340208000 48408249600 60510312000 80680416000 121020624000 242041248000
- Sum of all divisors σ(n): 901861545312
- Sum of proper divisors (its aliquot sum) s(n): 659820297312
- 242041248000 is an abundant number, because the sum of its proper divisors (659820297312) is greater than itself. Its abundance is 417779049312
Bases of 242041248000
- Binary: 111000010110101100100001011001000000002
- Hexadecimal: 0x385AC85900
- Base-36: 336X3Y80
Squares and roots of 242041248000
- 242041248000 squared (2420412480002) is 58583965733397504000000
- 242041248000 cubed (2420412480003) is 14179736178900767148244992000000000
-
The
square root of 242041248000 is 491976.8775054373 -
The
cube root of 242041248000 is 6232.0337197981
Scales and comparisons
How big is 242041248000?- 242,041,248,000 seconds is equal to 7,696 years, 8 weeks, 3 days, 8 hours.
-
To count from 1 to 242,041,248,000 would take you about fifteen thousand, three hundred ninety-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 242041248000 cubic inches would be around 519.3 feet tall.
Recreational maths with 242041248000
- 242041248000 backwards is 000842140242
- The number of decimal digits it has is: 12
- The sum of 242041248000's digits is 27
- More coming soon!
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