428472325037952
428,472,325,037,952 is an even composite number composed of five prime numbers multiplied together.
What does the number 428472325037952 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1664 divisors.
428472325037952 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 428472325037952:
27 × 312 × 133 × 47 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 47 × 61)See below for interesting mathematical facts about the number 428472325037952 from the Numbermatics database.
Names of 428472325037952
- Cardinal: 428472325037952 can be written as Four hundred twenty-eight trillion, four hundred seventy-two billion, three hundred twenty-five million, thirty-seven thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 4.28472325037952 × 1014
Factors of 428472325037952
Divisors of 428472325037952
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 47 48 52 54 61 64 72 78 81 94 96 104 108 117 122 128 141 144 156 162 169 183 188 192 208 216 234 243 244 282 288 312 324 338 351 366 376 384 416 423 432 468 486 488 507 549 564 576 611 624 648 676 702 729 732 752 793 832 846 864 936 972 976 1014 1053 1098 1128 1152 1222 1248 1269 1296 1352 1404 1458 1464 1504 1521 1586 1647 1664 1692 1728 1833 1872 1944 1952 2028 2106 2187 2196 2197 2256 2379 2444 2496 2538 2592 2704 2808 2867 2916 2928 3008 3042 3159 3172 3294 3384 3456 3666 3744 3807 3888 3904 4056 4212 4374 4392 4394 4512 4563 4758 4888 4941 4992 5076 5184 5408 5499 5616 5734 5832 5856 6016 6084 6318 6344 6561 6588 6591 6768 7137 7332 7488 7614 7776 7808 7943 8112 8424 8601 8748 8784 8788 9024 9126 9477 9516 9776 9882 10152 10309 10368 10816 10998 11232 11421 11468 11664 11712 12168 12636 12688 13122 13176 13182 13536 13689 14274 14664 14823 14976 15228 15552 15886 16224 16497 16848 17202 17496 17568 17576 18048 18252 18954 19032 19552 19683 19764 19773 20304 20618 21411 21632 21996 22464 22842 22936 23328 23424 23829 24336 25272 25376 25803 26244 26352 26364 27072 27378 28431 28548 29328 29646 30456 30927 31104 31772 32448 32994 33696 34263 34404 34992 35136 35152 36504 37271 37908 38064 39104 39366 39528 39546 40608 41067 41236 42822 43992 44469 44928 45684 45872 46656 47658 48672 49491 50544 50752 51606 52488 52704 52728 54144 54756 56862 57096 58656 59049 59292 59319 60912 61854 63544 64233 64896 65988 67392 68526 68808 69984 70272 70304 71487 73008 74542 75816 76128 77409 78208 78732 79056 79092 81216 82134 82472 85293 85644 87984 88938 91368 91744 92781 93312 95316 97344 98982 101088 101504 102789 103212 103259 104976 105408 105456 109512 111813 113724 114192 117312 118098 118584 118638 121824 123201 123708 127088 128466 131976 133407 134017 134784 137052 137616 139968 140608 142974 146016 148473 149084 151632 152256 154818 157464 158112 158184 162432 164268 164944 170586 171288 175968 177147 177876 177957 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1373308734096 1487751128604 1519405407936 1756034119008 1763260596864 1831078312128 1983668171472 2059963101144 2231626692906 2279108111904 2341378825344 2535339201408 2644890895296 2746617468192 2975502257208 3038810815872 3347440039359 3512068238016 3662156624256 3967336342944 4119926202288 4463253385812 4558216223808 5289781790592 5493234936384 5951004514416 6694880078718 7024136476032 7934672685888 8239852404576 8926506771624 9116432447616 10986469872768 11902009028832 13389760157436 15869345371776 16479704809152 17853013543248 23804018057664 26779520314872 32959409618304 35706027086496 47608036115328 53559040629744 71412054172992 107118081259488 142824108345984 214236162518976 428472325037952
- Sum of all divisors σ(n): 1439779904438400
- Sum of proper divisors (its aliquot sum) s(n): 1011307579400448
- 428472325037952 is an abundant number, because the sum of its proper divisors (1011307579400448) is greater than itself. Its abundance is 582835254362496
Bases of 428472325037952
- Binary: 11000010110110001011111001011101011011111100000002
- Hexadecimal: 0x185B17CBADF80
- Base-36: 47VPGVI000
Squares and roots of 428472325037952
- 428472325037952 squared (4284723250379522) is 183588533323428388358240354304
- 428472325037952 cubed (4284723250379523) is 78662605723396890547548931712430574726545408
-
The
square root of 428472325037952 is 20699573.0641468063 -
The
cube root of 428472325037952 is 75388.9321983703
Scales and comparisons
How big is 428472325037952?- 428,472,325,037,952 seconds is equal to 13,624,094 years, 30 weeks, 2 days, 16 hours, 19 minutes, 12 seconds.
-
To count from 1 to 428,472,325,037,952 would take you about thirty-four million, sixty thousand, two hundred thirty-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 428472325037952 cubic inches would be around 6282.4 feet tall.
Recreational maths with 428472325037952
- 428472325037952 backwards is 259730523274824
- The number of decimal digits it has is: 15
- The sum of 428472325037952's digits is 63
- More coming soon!
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"Number 428472325037952 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 428472325037952 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/428472325037952/
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The information we have on file for 428472325037952 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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