442214132000
442,214,132,000 is an even composite number composed of seven prime numbers multiplied together.
442214132000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 442214132000:
25 × 53 × 17 × 19 × 31 × 61 × 181
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 19 × 31 × 61 × 181)See below for interesting mathematical facts about the number 442214132000 from the Numbermatics database.
Names of 442214132000
- Cardinal: 442214132000 can be written as Four hundred forty-two billion, two hundred fourteen million, one hundred thirty-two thousand.
Scientific notation
- Scientific notation: 4.42214132 × 1011
Factors of 442214132000
Divisors of 442214132000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 25 31 32 34 38 40 50 61 62 68 76 80 85 95 100 122 124 125 136 152 155 160 170 181 190 200 244 248 250 272 304 305 310 323 340 362 380 400 425 475 488 496 500 527 544 589 608 610 620 646 680 724 760 775 800 850 905 950 976 992 1000 1037 1054 1159 1178 1220 1240 1292 1360 1448 1520 1525 1550 1615 1700 1810 1891 1900 1952 2000 2074 2108 2125 2318 2356 2375 2440 2480 2584 2635 2720 2896 2945 3040 3050 3077 3100 3230 3400 3439 3620 3782 3800 3875 4000 4148 4216 4250 4525 4636 4712 4750 4880 4960 5168 5185 5270 5611 5792 5795 5890 6100 6154 6200 6460 6800 6878 7240 7564 7600 7625 7750 8075 8296 8432 8500 9050 9272 9424 9455 9500 9760 10013 10336 10370 10540 11041 11222 11590 11780 12200 12308 12400 12920 13175 13600 13756 14480 14725 15128 15200 15250 15385 15500 16150 16592 16864 17000 17195 18100 18544 18848 18910 19000 19703 20026 20740 21080 22082 22444 22625 23180 23560 24400 24616 24800 25840 25925 26350 27512 28055 28960 28975 29450 30256 30500 30770 31000 32147 32300 33184 34000 34390 35929 36200 37088 37820 38000 39406 40052 40375 41480 42160 44164 44888 45250 46360 47120 47275 48800 49232 50065 51680 51850 52700 55024 55205 56110 57950 58463 58900 60512 61000 61540 62000 64294 64600 65875 68000 68780 71858 72400 73625 75640 76000 76925 78812 80104 80750 82960 84320 85975 88328 89776 90500 92720 94240 94550 95387 98464 98515 100130 103700 105400 106609 110048 110410 112220 115900 116926 117800 122000 123080 124000 128588 129200 129625 131750 137560 140275 143716 144800 144875 147250 151280 153850 157624 160208 160735 161500 165920 171950 176656 179552 179645 181000 185440 187697 189100 190774 197030 200260 207400 209779 210800 213218 220820 224440 231800 233852 235600 236375 244000 246160 250325 257176 258400 259250 263500 275120 276025 280550 287432 289750 292315 294500 302560 307700 315248 320416 321470 323000 342271 343900 353312 359290 362000 375394 378200 381548 384625 394060 400520 414800 419558 421600 426436 429875 441640 448880 463600 467704 471200 472750 476935 492320 492575 500650 514352 518500 527000 533045 550240 552050 561100 574864 579500 584630 589000 610793 615400 630496 642940 646000 684542 687800 701375 718580 724000 750788 756400 763096 769250 788120 801040 803675 829600 839116 852872 859750 883280 897760 898225 927200 935408 938485 945500 953870 985150 1001300 1028704 1037000 1048895 1054000 1066090 1104100 1122200 1149728 1159000 1169260 1178000 1221586 1230800 1251625 1285880 1292000 1369084 1375600 1380125 1402750 1437160 1461575 1501576 1512800 1526192 1538500 1576240 1602080 1607350 1678232 1705744 1711355 1719500 1766560 1796450 1812353 1870816 1876970 1891000 1907740 1970300 2002600 2074000 2097790 2108000 2132180 2208200 2244400 2318000 2338520 2356000 2384675 2443172 2461600 2462875 2503250 2571760 2665225 2738168 2751200 2760250 2805500 2874320 2923150 3003152 3052384 3053965 3077000 3152480 3214700 3356464 3411488 3422710 3439000 3566243 3592900 3624706 3753940 3782000 3815480 3940600 4005200 4018375 4148000 4195580 4264360 4416400 4488800 4491125 4636000 4677040 4692425 4769350 4886344 4925750 5006500 5143520 5244475 5330450 5476336 5520500 5611000 5748640 5818607 5846300 6006304 6107930 6154000 6429400 6503149 6712928 6845420 6878000 7132486 7185800 7249412 7307875 7507880 7564000 7630960 7881200 8010400 8036750 8391160 8528720 8556775 8832800 8982250 9061765 9354080 9384850 9538700 9772688 9851500 10013000 10488950 10660900 10952672 11041000 11222000 11637214 11692600 11923375 12215860 12308000 12858800 13006298 13326125 13690840 13756000 14264972 14371600 14498824 14615750 15015760 15261920 15269825 15762400 16073500 16782320 17057440 17113550 17831215 17964500 18123530 18769700 19077400 19545376 19703000 20026000 20977900 21321800 22082000 22444000 23274428 23385200 23462125 23846750 24431720 25717600 26012596 26222375 26652250 27381680 28529944 28743200 28997648 29093035 29231500 30031520 30539650 32147000 32515745 33564640 34227100 35662430 35929000 36247060 37539400 38154800 39406000 40052000 41955800 42643600 42783875 44164000 45308825 46548856 46770400 46924250 47693500 48863440 52025192 52444750 53304500 54763360 57059888 57995296 58186070 58463000 61079300 64294000 65031490 68454200 71324860 71858000 72494120 75078800 76309600 76349125 78812000 83911600 85287200 85567750 89156075 90617650 93097712 93848500 95387000 97726880 104050384 104889500 106609000 110553533 114119776 116372140 116926000 122158600 128588000 130062980 136908400 142649720 143716000 144988240 145465175 150157600 152698250 162578725 167823200 171135500 178312150 181235300 186195424 187697000 190774000 208100768 209779000 213218000 221107066 226544125 232744280 233852000 244317200 260125960 273816800 285299440 289976480 290930350 305396500 325157450 342271000 356624300 362470600 375394000 381548000 419558000 426436000 442214132 445780375 453088250 465488560 488634400 520251920 552767665 570598880 581860700 610793000 650314900 684542000 713248600 724941200 727325875 750788000 812893625 839116000 884428264 891560750 906176500 930977120 1040503840 1105535330 1163721400 1221586000 1300629800 1369084000 1426497200 1449882400 1454651750 1625787250 1768856528 1783121500 1812353000 2211070660 2327442800 2443172000 2601259600 2763838325 2852994400 2909303500 3251574500 3537713056 3566243000 3624706000 4422141320 4654885600 5202519200 5527676650 5818607000 6503149000 7132486000 7249412000 8844282640 11055353300 11637214000 13006298000 13819191625 14264972000 17688565280 22110706600 23274428000 26012596000 27638383250 44221413200 55276766500 88442826400 110553533000 221107066000 442214132000
- Sum of all divisors σ(n): 1277558231040
- Sum of proper divisors (its aliquot sum) s(n): 835344099040
- 442214132000 is an abundant number, because the sum of its proper divisors (835344099040) is greater than itself. Its abundance is 393129967040
Bases of 442214132000
- Binary: 1100110111101100000010000101001001000002
- Hexadecimal: 0x66F6042920
- Base-36: 5N5EVK0W
Squares and roots of 442214132000
- 442214132000 squared (4422141320002) is 195553338540513424000000
- 442214132000 cubed (4422141320003) is 86476449862395290628507968000000000
-
The
square root of 442214132000 is 664991.8285212233 -
The
cube root of 442214132000 is 7618.6415188139
Scales and comparisons
How big is 442214132000?- 442,214,132,000 seconds is equal to 14,061 years, 2 weeks, 1 day, 2 hours, 53 minutes, 20 seconds.
-
To count from 1 to 442,214,132,000 would take you about twenty-eight thousand, one hundred twenty-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 442214132000 cubic inches would be around 634.9 feet tall.
Recreational maths with 442214132000
- 442214132000 backwards is 000231412244
- The number of decimal digits it has is: 12
- The sum of 442214132000's digits is 23
- More coming soon!
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