993420288
993,420,288 is an even composite number composed of five prime numbers multiplied together.
993420288 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty divisors.
Prime factorization of 993420288:
210 × 34 × 7 × 29 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 29 × 59)See below for interesting mathematical facts about the number 993420288 from the Numbermatics database.
Names of 993420288
- Cardinal: 993420288 can be written as Nine hundred ninety-three million, four hundred twenty thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 9.93420288 × 108
Factors of 993420288
Divisors of 993420288
- Number of divisors d(n): 440
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 42 48 54 56 58 59 63 64 72 81 84 87 96 108 112 116 118 126 128 144 162 168 174 177 189 192 203 216 224 232 236 252 256 261 288 324 336 348 354 378 384 406 413 432 448 464 472 504 512 522 531 567 576 609 648 672 696 708 756 768 783 812 826 864 896 928 944 1008 1024 1044 1062 1134 1152 1218 1239 1296 1344 1392 1416 1512 1536 1566 1593 1624 1652 1711 1728 1792 1827 1856 1888 2016 2088 2124 2268 2304 2349 2436 2478 2592 2688 2784 2832 3024 3072 3132 3186 3248 3304 3422 3456 3584 3654 3712 3717 3776 4032 4176 4248 4536 4608 4698 4779 4872 4956 5133 5184 5376 5481 5568 5664 6048 6264 6372 6496 6608 6844 6912 7168 7308 7424 7434 7552 8064 8352 8496 9072 9216 9396 9558 9744 9912 10266 10368 10752 10962 11136 11151 11328 11977 12096 12528 12744 12992 13216 13688 13824 14616 14848 14868 15104 15399 16128 16443 16704 16992 18144 18792 19116 19488 19824 20532 20736 21504 21924 22272 22302 22656 23954 24192 25056 25488 25984 26432 27376 27648 29232 29696 29736 30208 30798 32256 32886 33408 33453 33984 35931 36288 37584 38232 38976 39648 41064 41472 43848 44544 44604 45312 46197 47908 48384 50112 50976 51968 52864 54752 58464 59472 60416 61596 64512 65772 66816 66906 67968 71862 72576 75168 76464 77952 79296 82128 82944 87696 89088 89208 90624 92394 95816 96768 100224 101952 103936 105728 107793 109504 116928 118944 123192 131544 133632 133812 135936 138591 143724 145152 150336 152928 155904 158592 164256 175392 178416 181248 184788 191632 193536 200448 203904 207872 211456 215586 219008 233856 237888 246384 263088 267264 267624 271872 277182 287448 290304 300672 305856 311808 317184 323379 328512 350784 356832 369576 383264 400896 407808 422912 431172 438016 467712 475776 492768 526176 535248 543744 554364 574896 580608 601344 611712 623616 634368 646758 657024 701568 713664 739152 766528 801792 815616 862344 876032 935424 951552 970137 985536 1052352 1070496 1108728 1149792 1202688 1223424 1268736 1293516 1314048 1403136 1427328 1478304 1533056 1631232 1724688 1752064 1870848 1903104 1940274 1971072 2104704 2140992 2217456 2299584 2405376 2446848 2587032 2628096 2806272 2854656 2956608 3066112 3449376 3806208 3880548 3942144 4209408 4281984 4434912 4599168 4893696 5174064 5256192 5612544 5709312 5913216 6132224 6898752 7761096 7884288 8418816 8563968 8869824 9198336 10348128 11418624 11826432 12264448 13797504 15522192 15768576 16837632 17127936 17739648 18396672 20696256 23652864 27595008 31044384 34255872 35479296 36793344 41392512 47305728 55190016 62088768 70958592 82785024 110380032 124177536 141917184 165570048 248355072 331140096 496710144 993420288
- Sum of all divisors σ(n): 3566692800
- Sum of proper divisors (its aliquot sum) s(n): 2573272512
- 993420288 is an abundant number, because the sum of its proper divisors (2573272512) is greater than itself. Its abundance is 1579852224
Bases of 993420288
- Binary: 1110110011011001100100000000002
- Hexadecimal: 0x3B366400
- Base-36: GFGG00
Squares and roots of 993420288
- 993420288 squared (9934202882) is 986883868610002944
- 993420288 cubed (9934202883) is 980390456977103284309327872
-
The
square root of 993420288 is 31518.5705259613 -
The
cube root of 993420288 is 997.8019347157
Scales and comparisons
How big is 993420288?- 993,420,288 seconds is equal to 31 years, 30 weeks, 3 days, 22 hours, 4 minutes, 48 seconds.
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To count from 1 to 993,420,288 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 993420288 cubic inches would be around 83.2 feet tall.
Recreational maths with 993420288
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