998229120
998,229,120 is an even composite number composed of six prime numbers multiplied together.
998229120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 998229120:
27 × 3 × 5 × 7 × 172 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 17 × 257)See below for interesting mathematical facts about the number 998229120 from the Numbermatics database.
Names of 998229120
- Cardinal: 998229120 can be written as Nine hundred ninety-eight million, two hundred twenty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.9822912 × 108
Factors of 998229120
Divisors of 998229120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 68 70 80 84 85 96 102 105 112 119 120 128 136 140 160 168 170 192 204 210 224 238 240 255 257 272 280 289 320 336 340 357 384 408 420 448 476 480 510 514 544 560 578 595 640 672 680 714 771 816 840 867 896 952 960 1020 1028 1088 1120 1156 1190 1285 1344 1360 1428 1445 1542 1632 1680 1734 1785 1799 1904 1920 2023 2040 2056 2176 2240 2312 2380 2570 2688 2720 2856 2890 3084 3264 3360 3468 3570 3598 3808 3855 4046 4080 4112 4335 4369 4480 4624 4760 5140 5397 5440 5712 5780 6069 6168 6528 6720 6936 7140 7196 7616 7710 8092 8160 8224 8670 8738 8995 9248 9520 10115 10280 10794 10880 11424 11560 12138 12336 13107 13440 13872 14280 14392 15232 15420 16184 16320 16448 17340 17476 17990 18496 19040 20230 20560 21588 21845 22848 23120 24276 24672 26214 26985 27744 28560 28784 30345 30583 30840 32368 32640 32896 34680 34952 35980 36992 38080 40460 41120 43176 43690 45696 46240 48552 49344 52428 53970 55488 57120 57568 60690 61166 61680 64736 65535 69360 69904 71960 74273 76160 80920 82240 86352 87380 91749 92480 97104 98688 104856 107940 110976 114240 115136 121380 122332 123360 129472 131070 138720 139808 143920 148546 152915 161840 164480 172704 174760 183498 184960 194208 209712 215880 222819 228480 230272 242760 244664 246720 258944 262140 277440 279616 287840 297092 305830 323680 345408 349520 366996 371365 388416 419424 431760 445638 458745 485520 489328 493440 519911 524280 554880 559232 575680 594184 611660 647360 690816 699040 733992 742730 776832 838848 863520 891276 917490 971040 978656 1039822 1048560 1114095 1151360 1188368 1223320 1294720 1398080 1467984 1485460 1559733 1677696 1727040 1782552 1834980 1942080 1957312 2079644 2097120 2228190 2376736 2446640 2599555 2796160 2935968 2970920 3119466 3454080 3565104 3669960 3884160 3914624 4159288 4194240 4456380 4753472 4893280 5199110 5871936 5941840 6238932 7130208 7339920 7798665 8318576 8388480 8912760 9506944 9786560 10398220 11743872 11883680 12477864 14260416 14679840 15597330 16637152 17825520 19573120 20796440 23767360 24955728 28520832 29359680 31194660 33274304 35651040 41592880 47534720 49911456 58719360 62389320 66548608 71302080 83185760 99822912 124778640 142604160 166371520 199645824 249557280 332743040 499114560 998229120
- Sum of all divisors σ(n): 3877925760
- Sum of proper divisors (its aliquot sum) s(n): 2879696640
- 998229120 is an abundant number, because the sum of its proper divisors (2879696640) is greater than itself. Its abundance is 1881467520
Bases of 998229120
- Binary: 1110110111111111000100100000002
- Hexadecimal: 0x3B7FC480
- Base-36: GIBIIO
Squares and roots of 998229120
- 998229120 squared (9982291202) is 996461376015974400
- 998229120 cubed (9982291203) is 994696762494415231254528000
-
The
square root of 998229120 is 31594.7641231897 -
The
cube root of 998229120 is 999.4093578771
Scales and comparisons
How big is 998229120?- 998,229,120 seconds is equal to 31 years, 38 weeks, 3 days, 13 hours, 52 minutes.
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To count from 1 to 998,229,120 would take you about forty-seven 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 998229120 cubic inches would be around 83.3 feet tall.
Recreational maths with 998229120
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