990221616800
990,221,616,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 990221616800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
990221616800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 990221616800:
25 × 52 × 13 × 17 × 19 × 31 × 37 × 257
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 19 × 31 × 37 × 257)See below for interesting mathematical facts about the number 990221616800 from the Numbermatics database.
Names of 990221616800
- Cardinal: 990221616800 can be written as Nine hundred ninety billion, two hundred twenty-one million, six hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 9.902216168 × 1011
Factors of 990221616800
Divisors of 990221616800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 19 20 25 26 31 32 34 37 38 40 50 52 62 65 68 74 76 80 85 95 100 104 124 130 136 148 152 155 160 170 185 190 200 208 221 247 248 257 260 272 296 304 310 323 325 340 370 380 400 403 416 425 442 475 481 494 496 514 520 527 544 589 592 608 620 629 646 650 680 703 740 760 775 800 806 850 884 925 950 962 988 992 1028 1040 1054 1105 1147 1178 1184 1235 1240 1258 1285 1292 1300 1360 1406 1480 1520 1550 1612 1615 1700 1768 1850 1900 1924 1976 2015 2056 2080 2108 2210 2294 2356 2405 2470 2480 2516 2570 2584 2600 2635 2720 2812 2945 2960 3040 3100 3145 3224 3230 3341 3400 3515 3536 3700 3800 3848 3952 4030 4112 4199 4216 4369 4420 4588 4712 4810 4883 4940 4960 5032 5140 5168 5200 5270 5525 5624 5735 5890 5920 6175 6200 6290 6425 6448 6460 6682 6800 6851 7030 7072 7400 7600 7657 7696 7904 7967 8060 8075 8177 8224 8398 8432 8738 8840 9139 9176 9424 9509 9620 9766 9880 10013 10064 10075 10280 10336 10400 10540 11050 11248 11470 11780 11951 12025 12350 12400 12580 12850 12896 12920 13175 13364 13600 13702 14060 14725 14800 14911 15200 15314 15392 15725 15934 16120 16150 16354 16705 16796 16864 17476 17575 17680 18278 18352 18848 19018 19240 19499 19532 19760 20026 20128 20150 20560 20995 21080 21793 21845 22100 22496 22940 23560 23902 24050 24415 24700 24800 25160 25700 25840 26350 26728 27404 28120 28675 29450 29600 29822 30628 31450 31868 32240 32300 32708 33410 33592 34255 34952 35150 35360 36556 36704 38036 38285 38480 38998 39064 39520 39835 40052 40300 40885 41120 41990 42160 43586 43690 44200 45695 45880 47120 47545 47804 48100 48830 49400 50065 50320 51400 51680 52700 53456 54808 56240 56797 57350 58900 59644 59755 61256 62900 63479 63736 64480 64600 65416 66820 67184 68510 69904 70300 73112 74555 76072 76570 76960 77996 78128 79670 80104 80600 81770 83011 83525 83980 84320 87172 87380 88400 91390 91760 94240 95090 95608 96200 97495 97660 98800 100130 100640 102800 103571 104975 105400 106912 108965 109225 109616 112480 113594 114700 117800 119288 119510 122075 122512 123617 125800 126958 127472 129200 130169 130832 133640 134368 135439 137020 139808 140600 146224 149110 151373 152144 153140 155363 155992 156256 159340 160208 161200 161653 163540 166022 167050 167960 171275 174344 174760 176800 180671 182780 183520 190180 191216 191425 192400 194990 195320 197600 199175 200260 204425 205600 207142 209950 210800 217930 218450 219232 227188 228475 229400 235600 237725 238576 239020 244150 245024 247234 250325 251600 253487 253916 254944 258400 260338 261664 267280 270878 274040 281200 283309 283985 292448 294779 298220 298775 302746 304288 306280 310726 311984 317395 318680 320416 322400 323306 327080 332044 334100 335920 342550 348688 349520 361342 365560 370481 372775 380360 382432 382850 384800 389980 390640 398350 400520 408850 414284 415055 419900 421600 435860 436900 454376 456950 458800 471200 475450 477152 478040 487475 488300 494468 500650 503200 506974 507832 517855 520676 534560 541756 544825 548080 562400 566618 567970 589558 596440 597550 605492 612560 618085 621452 623968 634790 637360 646612 650845 654160 664088 668200 671840 677195 685100 697376 699040 722684 731120 740962 745550 756865 760720 765700 776815 779960 781280 796700 801040 808265 817700 828568 830110 839800 871720 873800 903355 908752 913900 917600 950900 956080 974950 976600 988936 1001300 1013948 1015664 1035710 1041352 1079143 1083512 1089650 1096160 1133236 1135940 1179116 1192880 1195100 1210984 1225120 1236170 1242904 1267435 1269580 1274720 1293224 1301690 1308320 1328176 1336400 1354390 1370200 1416545 1419925 1445368 1462240 1473895 1481924 1491100 1513730 1521440 1531400 1553630 1559920 1586975 1593400 1602080 1616530 1635400 1657136 1660220 1679600 1743440 1747600 1760707 1806710 1817504 1827800 1852405 1901800 1912160 1949900 1953200 1967849 1977872 2002600 2027896 2031328 2071420 2075275 2082704 2101489 2158286 2167024 2179300 2266472 2271880 2348723 2358232 2385760 2390200 2421968 2472340 2485808 2534870 2539160 2573341 2586448 2589275 2603380 2656352 2672800 2708780 2740400 2833090 2839850 2890736 2947790 2963848 2982200 3027460 3062800 3071407 3090425 3107260 3119840 3173950 3186800 3233060 3254225 3270800 3314272 3320440 3359200 3385975 3486880 3495200 3521414 3613420 3655600 3704810 3784325 3803600 3832127 3884075 3899800 3906400 3935698 3955744 4005200 4041325 4055792 4142840 4150550 4165408 4202978 4316572 4334048 4358600 4516775 4532944 4543760 4697446 4716464 4780400 4816253 4843936 4944680 4971616 5011243 5069740 5078320 5146682 5172896 5178550 5206760 5395715 5417560 5480800 5600801 5666180 5679700 5781472 5895580 5927696 5964400 6054920 6125600 6142814 6180850 6214520 6337175 6347900 6373600 6466120 6508450 6541600 6640880 6771950 7042828 7082725 7226840 7311200 7369475 7409620 7568650 7607200 7664254 7768150 7799600 7871396 8010400 8082650 8111584 8285680 8301100 8405956 8633144 8717200 8803535 9033550 9065888 9087520 9262025 9394892 9432928 9560800 9632506 9839245 9889360 10022486 10139480 10156640 10293364 10357100 10413520 10507445 10791430 10835120 11201602 11332360 11359400 11743615 11791160 11855392 11928800 12109840 12285628 12361700 12429040 12674350 12695800 12866705 12932240 13016900 13281760 13543900 14085656 14165450 14453680 14738950 14819240 15137300 15328508 15357035 15536300 15599200 15742792 16165300 16571360 16602200 16811912 17266288 17434400 17607070 18067100 18524050 18789784 19160635 19265012 19678490 19778720 20044972 20278960 20586728 20714200 20827040 21014890 21582860 21670240 22403204 22664720 22718800 23487230 23582320 24081265 24219680 24571256 24723400 24858080 25056215 25348700 25391600 25733410 25864480 26033800 26978575 27087800 28004005 28171312 28330900 28907360 29477900 29638480 30274600 30657016 30714070 31072600 31485584 32330600 33204400 33453433 33623824 34532576 35214140 36134200 37048100 37579568 38321270 38530024 39356980 39928291 40089944 40557920 41173456 41428400 42029780 43165720 44017675 44806408 45329440 45437600 46974460 47164640 48162530 49142512 49196225 49446800 50112430 50697400 50783200 51466820 52067600 52537225 53957150 54175600 56008010 56342624 56661800 58718075 58955800 59276960 60549200 61314032 61428140 62145200 62971168 64333525 64661200 65146159 66408800 66906866 67247648 70428280 72268400 72810413 74096200 75159136 76642540 76785175 77060048 78713960 79856582 80179888 82346912 82856800 84059560 86331440 88035350 89612816 93948920 95213617 95803175 96325060 98285024 98392450 98893600 100224860 101394800 102933640 104135200 105074450 107914300 108351200 112016020 113323600 117436150 117911600 120406325 121098400 122628064 122856280 124290400 125281075 128667050 129322400 130292318 133813732 140020025 140856560 144536800 145620826 148192400 153285080 153570350 154120096 157427920 159713164 160359776 167267165 168119120 172662880 176070700 179225632 187897840 190427234 191606350 192650120 196784900 199641455 200449720 202789600 205867280 210148900 215828600 224032040 226647200 234872300 235823200 240812650 245712560 250562150 257334100 260584636 267627464 280040050 281713120 291241652 296384800 306570160 307140700 314855840 319426328 325730795 334534330 336238240 352141400 364052065 375795680 380854468 383212700 385300240 393569800 399282910 400899440 411734560 420297800 431657200 448064080 469744600 476068085 481625300 491425120 501124300 514668200 521169272 535254928 560080100 582483304 613140320 614281400 638852656 651461590 669068660 704282800 728104130 761708936 766425400 770600480 787139600 798565820 801798880 836335825 840595600 863314400 896128160 939489200 952136170 963250600 998207275 1002248600 1029336400 1042338544 1070509856 1120160200 1164966608 1228562800 1237777021 1277705312 1302923180 1338137320 1408565600 1456208260 1523417872 1532850800 1574279200 1597131640 1628653975 1672671650 1681191200 1820260325 1878978400 1904272340 1926501200 1996414550 2004497200 2058672800 2084677088 2240320400 2329933216 2380340425 2457125600 2475554042 2605846360 2676274640 2912416520 3046835744 3065701600 3194263280 3257307950 3345343300 3640520650 3808544680 3853002400 3992829100 4008994400 4480640800 4760680850 4951108084 5211692720 5352549280 5824833040 6188885105 6388526560 6514615900 6690686600 7281041300 7617089360 7985658200 9521361700 9902216168 10423385440 11649666080 12377770210 13029231800 13381373200 14562082600 15234178720 15971316400 19042723400 19804432336 24755540420 26058463600 26762746400 29124165200 30944425525 31942632800 38085446800 39608864672 49511080840 52116927200 58248330400 61888851050 76170893600 99022161680 123777702100 198044323360 247555404200 495110808400 990221616800
- Sum of all divisors σ(n): 3088062351360
- Sum of proper divisors (its aliquot sum) s(n): 2097840734560
- 990221616800 is an abundant number, because the sum of its proper divisors (2097840734560) is greater than itself. Its abundance is 1107619117760
Bases of 990221616800
- Binary: 11100110100011011100111011000110101000002
- Hexadecimal: 0xE68DCEC6A0
- Base-36: CMWGDTI8
Squares and roots of 990221616800
- 990221616800 squared (9902216168002) is 980538850378006042240000
- 990221616800 cubed (9902216168003) is 970950765756522434307061893632000000
-
The
square root of 990221616800 is 995098.7975070617 -
The
cube root of 990221616800 is 9967.2985675327
Scales and comparisons
How big is 990221616800?- 990,221,616,800 seconds is equal to 31,485 years, 51 weeks, 1 day, 8 hours, 13 minutes, 20 seconds.
-
To count from 1 to 990,221,616,800 would take you about sixty-two thousand, nine hundred seventy-one 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 990221616800 cubic inches would be around 830.6 feet tall.
Recreational maths with 990221616800
- 990221616800 backwards is 008616122099
- The number of decimal digits it has is: 12
- The sum of 990221616800's digits is 44
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 990221616800 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 990221616800 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/990221616800/
Chicago style:
Numbermatics. 2024. "Number 990221616800 - Facts about the integer". https://numbermatics.com/n/990221616800/
The information we have on file for 990221616800 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!
Keywords: Divisors of 990221616800, math, Factors of 990221616800, curriculum, school, college, exams, university, Prime factorization of 990221616800, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety billion, two hundred twenty-one million, six hundred sixteen thousand, eight hundred.