990156960
990,156,960 is an even composite number composed of five prime numbers multiplied together.
990156960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 990156960:
25 × 36 × 5 × 13 × 653
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 653)See below for interesting mathematical facts about the number 990156960 from the Numbermatics database.
Names of 990156960
- Cardinal: 990156960 can be written as Nine hundred ninety million, one hundred fifty-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 9.9015696 × 108
Factors of 990156960
Divisors of 990156960
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 65 72 78 80 81 90 96 104 108 117 120 130 135 144 156 160 162 180 195 208 216 234 240 243 260 270 288 312 324 351 360 390 405 416 432 468 480 486 520 540 585 624 648 653 702 720 729 780 810 864 936 972 1040 1053 1080 1170 1215 1248 1296 1306 1404 1440 1458 1560 1620 1755 1872 1944 1959 2080 2106 2160 2340 2430 2592 2612 2808 2916 3120 3159 3240 3265 3510 3645 3744 3888 3918 4212 4320 4680 4860 5224 5265 5616 5832 5877 6240 6318 6480 6530 7020 7290 7776 7836 8424 8489 9360 9477 9720 9795 10448 10530 11232 11664 11754 12636 12960 13060 14040 14580 15672 15795 16848 16978 17631 18720 18954 19440 19590 20896 21060 23328 23508 25272 25467 26120 28080 29160 29385 31344 31590 33696 33956 35262 37908 38880 39180 42120 42445 47016 47385 50544 50934 52240 52893 56160 58320 58770 62688 63180 67912 70524 75816 76401 78360 84240 84890 88155 94032 94770 101088 101868 104480 105786 116640 117540 126360 127335 135824 141048 151632 152802 156720 158679 168480 169780 176310 188064 189540 203736 211572 229203 235080 252720 254670 264465 271648 282096 303264 305604 313440 317358 339560 352620 379080 382005 407472 423144 458406 470160 476037 505440 509340 528930 564192 611208 634716 679120 687609 705240 758160 764010 793395 814944 846288 916812 940320 952074 1018680 1057860 1146015 1222416 1269432 1358240 1375218 1410480 1516320 1528020 1586790 1692576 1833624 1904148 2037360 2062827 2115720 2292030 2380185 2444832 2538864 2750436 2820960 3056040 3173580 3438045 3667248 3808296 4074720 4125654 4231440 4584060 4760370 5077728 5500872 6112080 6188481 6347160 6876090 7334496 7616592 8251308 8462880 9168120 9520740 10314135 11001744 12224160 12376962 12694320 13752180 15233184 16502616 18336240 19041480 20628270 22003488 24753924 25388640 27504360 30942405 33005232 36672480 38082960 41256540 49507848 55008720 61884810 66010464 76165920 82513080 99015696 110017440 123769620 165026160 198031392 247539240 330052320 495078480 990156960
- Sum of all divisors σ(n): 3782838024
- Sum of proper divisors (its aliquot sum) s(n): 2792681064
- 990156960 is an abundant number, because the sum of its proper divisors (2792681064) is greater than itself. Its abundance is 1802524104
Bases of 990156960
- Binary: 1110110000010010011000101000002
- Hexadecimal: 0x3B0498A0
- Base-36: GDII00
Squares and roots of 990156960
- 990156960 squared (9901569602) is 980410805436441600
- 990156960 cubed (9901569603) is 970760582662098487873536000
-
The
square root of 990156960 is 31466.7596043825 -
The
cube root of 990156960 is 996.7081623621
Scales and comparisons
How big is 990156960?- 990,156,960 seconds is equal to 31 years, 25 weeks, 1 day, 3 hours, 36 minutes.
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To count from 1 to 990,156,960 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 990156960 cubic inches would be around 83.1 feet tall.
Recreational maths with 990156960
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