189122688
189,122,688 is an even composite number composed of five prime numbers multiplied together.
189122688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 189122688:
27 × 34 × 17 × 29 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 17 × 29 × 37)See below for interesting mathematical facts about the number 189122688 from the Numbermatics database.
Names of 189122688
- Cardinal: 189122688 can be written as One hundred eighty-nine million, one hundred twenty-two thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.89122688 × 108
Factors of 189122688
Divisors of 189122688
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 29 32 34 36 37 48 51 54 58 64 68 72 74 81 87 96 102 108 111 116 128 136 144 148 153 162 174 192 204 216 222 232 261 272 288 296 306 324 333 348 384 408 432 444 459 464 493 522 544 576 592 612 629 648 666 696 783 816 864 888 918 928 986 999 1044 1073 1088 1152 1184 1224 1258 1296 1332 1377 1392 1479 1566 1632 1728 1776 1836 1856 1887 1972 1998 2088 2146 2176 2349 2368 2448 2516 2592 2664 2754 2784 2958 2997 3132 3219 3264 3456 3552 3672 3712 3774 3944 3996 4176 4292 4437 4698 4736 4896 5032 5184 5328 5508 5568 5661 5916 5994 6264 6438 6528 7104 7344 7548 7888 7992 8352 8584 8874 9396 9657 9792 10064 10368 10656 11016 11136 11322 11832 11988 12528 12876 13311 14208 14688 15096 15776 15984 16704 16983 17168 17748 18241 18792 19314 19584 20128 21312 22032 22644 23664 23976 25056 25752 26622 28971 29376 30192 31552 31968 33408 33966 34336 35496 36482 37584 38628 39933 40256 42624 44064 45288 47328 47952 50112 50949 51504 53244 54723 57942 58752 60384 63104 63936 67932 68672 70992 72964 75168 77256 79866 80512 86913 88128 90576 94656 95904 100224 101898 103008 106488 109446 115884 120768 127872 135864 137344 141984 145928 150336 154512 159732 164169 173826 176256 181152 189312 191808 203796 206016 212976 218892 231768 241536 271728 283968 291856 300672 309024 319464 328338 347652 362304 383616 407592 412032 425952 437784 463536 492507 543456 567936 583712 618048 638928 656676 695304 724608 815184 851904 875568 927072 985014 1086912 1167424 1236096 1277856 1313352 1390608 1477521 1630368 1703808 1751136 1854144 1970028 2173824 2334848 2555712 2626704 2781216 2955042 3260736 3502272 3708288 3940056 5111424 5253408 5562432 5910084 6521472 7004544 7880112 10506816 11124864 11820168 15760224 21013632 23640336 31520448 47280672 63040896 94561344 189122688
- Sum of all divisors σ(n): 633144600
- Sum of proper divisors (its aliquot sum) s(n): 444021912
- 189122688 is an abundant number, because the sum of its proper divisors (444021912) is greater than itself. Its abundance is 254899224
Bases of 189122688
- Binary: 10110100010111001000100000002
- Hexadecimal: 0xB45C880
- Base-36: 34LK00
Squares and roots of 189122688
- 189122688 squared (1891226882) is 35767391116345344
- 189122688 cubed (1891226883) is 6764425150670552193564672
-
The
square root of 189122688 is 13752.1884803837 -
The
cube root of 189122688 is 574.0035045333
Scales and comparisons
How big is 189122688?- 189,122,688 seconds is equal to 6 years, 4 days, 22 hours, 4 minutes, 48 seconds.
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To count from 1 to 189,122,688 would take you about nine 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 189122688 cubic inches would be around 47.8 feet tall.
Recreational maths with 189122688
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