146428128
146,428,128 is an even composite number composed of six prime numbers multiplied together.
146428128 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 146428128:
25 × 33 × 7 × 11 × 31 × 71
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 31 × 71)See below for interesting mathematical facts about the number 146428128 from the Numbermatics database.
Names of 146428128
- Cardinal: 146428128 can be written as One hundred forty-six million, four hundred twenty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.46428128 × 108
Factors of 146428128
Divisors of 146428128
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 31 32 33 36 42 44 48 54 56 62 63 66 71 72 77 84 88 93 96 99 108 112 124 126 132 142 144 154 168 176 186 189 198 213 216 217 224 231 248 252 264 279 284 288 297 308 336 341 352 372 378 396 426 432 434 462 496 497 504 528 558 568 594 616 639 651 672 682 693 744 756 781 792 837 852 864 868 924 992 994 1008 1023 1056 1116 1136 1188 1232 1278 1302 1364 1386 1488 1491 1512 1562 1584 1674 1704 1736 1848 1917 1953 1988 2016 2046 2079 2201 2232 2272 2343 2376 2387 2464 2556 2604 2728 2772 2976 2982 3024 3069 3124 3168 3348 3408 3472 3696 3834 3906 3976 4092 4158 4402 4464 4473 4686 4752 4774 5112 5208 5456 5467 5544 5859 5964 6048 6138 6248 6603 6696 6816 6944 7029 7161 7392 7668 7812 7952 8184 8316 8804 8928 8946 9207 9372 9504 9548 10224 10416 10912 10934 11088 11718 11928 12276 12496 13206 13392 13419 14058 14322 15336 15407 15624 15904 16368 16401 16632 17608 17892 18414 18744 19096 19809 20448 20832 21087 21483 21868 22176 23436 23856 24211 24552 24992 26412 26784 26838 28116 28644 30672 30814 31248 32736 32802 33264 35216 35784 36828 37488 38192 39618 42174 42966 43736 46221 46872 47712 48422 49104 49203 52824 53676 56232 57288 59427 61344 61628 62496 64449 65604 66528 70432 71568 72633 73656 74976 76384 79236 84348 85932 87472 92442 93744 96844 98208 98406 105648 107352 112464 114576 118854 123256 128898 131208 138663 143136 145266 147312 147609 158472 168696 169477 171864 174944 184884 187488 193688 196812 211296 214704 217899 224928 229152 237708 246512 257796 262416 277326 290532 294624 295218 316944 337392 338954 343728 369768 387376 393624 415989 429408 435798 475416 493024 508431 515592 524832 554652 581064 590436 633888 653697 674784 677908 687456 739536 774752 787248 831978 871596 950832 1016862 1031184 1109304 1162128 1180872 1307394 1355816 1479072 1525293 1574496 1663956 1743192 1901664 2033724 2062368 2218608 2324256 2361744 2614788 2711632 3050586 3327912 3486384 4067448 4437216 4575879 4723488 5229576 5423264 6101172 6655824 6972768 8134896 9151758 10459152 12202344 13311648 16269792 18303516 20918304 24404688 36607032 48809376 73214064 146428128
- Sum of all divisors σ(n): 557383680
- Sum of proper divisors (its aliquot sum) s(n): 410955552
- 146428128 is an abundant number, because the sum of its proper divisors (410955552) is greater than itself. Its abundance is 264527424
Bases of 146428128
- Binary: 10001011101001010000111000002
- Hexadecimal: 0x8BA50E0
- Base-36: 2F6GO0
Squares and roots of 146428128
- 146428128 squared (1464281282) is 21441196669584384
- 146428128 cubed (1464281283) is 3139594290407075887153152
-
The
square root of 146428128 is 12100.7490677231 -
The
cube root of 146428128 is 527.0779361613
Scales and comparisons
How big is 146428128?- 146,428,128 seconds is equal to 4 years, 34 weeks, 18 hours, 28 minutes, 48 seconds.
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To count from 1 to 146,428,128 would take you about six 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 146428128 cubic inches would be around 43.9 feet tall.
Recreational maths with 146428128
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