993474144
993,474,144 is an even composite number composed of six prime numbers multiplied together.
993474144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 993474144:
25 × 32 × 13 × 23 × 83 × 139
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 23 × 83 × 139)See below for interesting mathematical facts about the number 993474144 from the Numbermatics database.
Names of 993474144
- Cardinal: 993474144 can be written as Nine hundred ninety-three million, four hundred seventy-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 9.93474144 × 108
Factors of 993474144
Divisors of 993474144
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 83 92 96 104 117 138 139 144 156 166 184 207 208 234 249 276 278 288 299 312 332 368 414 416 417 468 498 552 556 598 624 664 736 747 828 834 897 936 996 1079 1104 1112 1196 1248 1251 1328 1494 1656 1668 1794 1807 1872 1909 1992 2158 2208 2224 2392 2502 2656 2691 2988 3197 3237 3312 3336 3588 3614 3744 3818 3984 4316 4448 4784 5004 5382 5421 5727 5976 6394 6474 6624 6672 7176 7228 7636 7968 8632 9568 9591 9711 10008 10764 10842 11454 11537 11952 12788 12948 13344 14352 14456 15272 16263 17181 17264 19182 19422 20016 21528 21684 22908 23074 23904 24817 25576 25896 28704 28773 28912 30544 32526 34362 34528 34611 38364 38844 40032 41561 43056 43368 45816 46148 49634 51152 51792 57546 57824 61088 65052 68724 69222 74451 76728 77688 83122 86112 86736 91632 92296 99268 102304 103584 103833 115092 124683 130104 137448 138444 148902 149981 153456 155376 166244 173472 183264 184592 198536 207666 223353 230184 249366 260208 265351 274896 276888 297804 299962 306912 310752 332488 369184 374049 397072 415332 446706 449943 460368 498732 520416 530702 549792 553776 595608 599924 664976 748098 794144 796053 830664 893412 899886 920736 997464 1061404 1107552 1191216 1199848 1329952 1349829 1496196 1592106 1661328 1786824 1799772 1994928 2122808 2382432 2388159 2399696 2699658 2992392 3184212 3322656 3449563 3573648 3599544 3989856 4245616 4776318 4799392 5399316 5984784 6368424 6899126 7147296 7199088 8491232 9552636 10348689 10798632 11969568 12736848 13798252 14398176 19105272 20697378 21597264 25473696 27596504 31046067 38210544 41394756 43194528 55193008 62092134 76421088 82789512 110386016 124184268 165579024 248368536 331158048 496737072 993474144
- Sum of all divisors σ(n): 3236163840
- Sum of proper divisors (its aliquot sum) s(n): 2242689696
- 993474144 is an abundant number, because the sum of its proper divisors (2242689696) is greater than itself. Its abundance is 1249215552
Bases of 993474144
- Binary: 1110110011011100110110011000002
- Hexadecimal: 0x3B373660
- Base-36: GFHLK0
Squares and roots of 993474144
- 993474144 squared (9934741442) is 986990874796532736
- 993474144 cubed (9934741443) is 980549914474296534065577984
-
The
square root of 993474144 is 31519.4248678493 -
The
cube root of 993474144 is 997.8199655701
Scales and comparisons
How big is 993474144?- 993,474,144 seconds is equal to 31 years, 30 weeks, 4 days, 13 hours, 2 minutes, 24 seconds.
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To count from 1 to 993,474,144 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 993474144 cubic inches would be around 83.2 feet tall.
Recreational maths with 993474144
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