42028440672816
42,028,440,672,816 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42028440672816 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1600 divisors.
42028440672816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 42028440672816:
24 × 34 × 133 × 17 × 31 × 37 × 757
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 17 × 31 × 37 × 757)See below for interesting mathematical facts about the number 42028440672816 from the Numbermatics database.
Names of 42028440672816
- Cardinal: 42028440672816 can be written as Forty-two trillion, twenty-eight billion, four hundred forty million, six hundred seventy-two thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 4.2028440672816 × 1013
Factors of 42028440672816
Divisors of 42028440672816
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 31 34 36 37 39 48 51 52 54 62 68 72 74 78 81 93 102 104 108 111 117 124 136 144 148 153 156 162 169 186 204 208 216 221 222 234 248 272 279 296 306 312 324 333 338 351 372 403 408 432 442 444 459 468 481 496 507 527 558 592 612 624 629 648 663 666 676 702 744 757 806 816 837 884 888 918 936 962 999 1014 1053 1054 1116 1147 1209 1224 1258 1296 1326 1332 1352 1377 1404 1443 1488 1514 1521 1581 1612 1674 1768 1776 1836 1872 1887 1924 1989 1998 2028 2106 2108 2197 2232 2271 2294 2418 2448 2511 2516 2652 2664 2704 2754 2808 2873 2886 2997 3028 3042 3162 3224 3348 3441 3536 3627 3672 3774 3848 3978 3996 4056 4212 4216 4329 4394 4464 4542 4563 4588 4743 4836 5022 5032 5239 5304 5328 5508 5616 5661 5746 5772 5967 5994 6056 6084 6253 6324 6448 6591 6696 6813 6851 6882 7254 7344 7548 7696 7956 7992 8112 8177 8424 8432 8619 8658 8788 9084 9126 9176 9486 9672 9841 10044 10064 10323 10478 10608 10881 11016 11322 11492 11544 11934 11988 12112 12168 12506 12648 12869 12987 13182 13392 13626 13689 13702 13764 14229 14508 14911 15096 15717 15912 15984 16354 16848 16983 17238 17316 17576 17901 18168 18252 18352 18759 18972 19344 19499 19682 19773 20088 20439 20553 20646 20956 21762 22032 22644 22984 23088 23467 23868 23976 24336 24531 25012 25296 25738 25857 25974 26364 27252 27378 27404 27528 28009 28458 29016 29523 29822 30192 30969 31434 31824 32643 32708 33966 34476 34632 35152 35802 36336 36504 37349 37518 37944 38607 38961 38998 39364 39546 40176 40878 41106 41292 41912 42687 43524 44733 45288 45968 46934 47151 47736 47952 49062 50024 50949 51476 51714 51948 52728 54504 54756 54808 55056 56018 56277 56916 58032 58497 59046 59319 59644 61317 61659 61938 62868 65286 65416 67932 68107 68952 69264 70401 71604 73008 73593 74698 75036 75888 77214 77571 77922 77996 78728 79092 81289 81756 82212 82584 83824 84027 85374 87048 88569 89063 89466 90576 92907 93868 94302 95472 98124 100048 101898 102952 103428 103896 105456 106301 109008 109512 109616 112036 112047 112554 113832 115821 116994 118092 118638 119288 122634 123318 123876 125736 127933 130572 130832 134199 135864 136214 137904 140802 141453 143208 147186 149396 150072 154428 155142 155844 155992 157456 158184 162578 163512 164424 165168 167297 168054 168831 170748 174096 175491 177138 177957 178126 178932 184977 185814 187736 188604 193843 196248 203796 204321 205904 206856 207792 211203 212602 219024 220779 224072 224094 225108 227664 231642 232713 233988 236184 237276 238576 243867 245268 246636 247752 251472 252081 253487 255866 261144 265707 267189 268398 271728 272428 281604 282906 286416 294372 298792 300144 305071 308856 310284 311688 311984 316368 318903 325156 327024 328848 334594 336108 336141 337662 341496 347463 350982 354276 355914 356252 357864 364117 369954 371628 375472 377208 383799 387686 392496 398939 402597 407592 408642 413712 422406 424359 425204 441558 448144 448188 450216 463284 465426 467976 472368 474552 476153 487734 490536 493272 495504 501891 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808239243708 824087072016 875592514017 1077652324944 1135903801968 1167456685356 1236130608024 1355756150736 1556608913808 1616478487416 1751185028034 2334913370712 2472261216048 2626777542051 3232956974832 3502370056068 4669826741424 5253555084102 7004740112136 10507110168204 14009480224272 21014220336408 42028440672816
- Sum of all divisors σ(n): 148115090027520
- Sum of proper divisors (its aliquot sum) s(n): 106086649354704
- 42028440672816 is an abundant number, because the sum of its proper divisors (106086649354704) is greater than itself. Its abundance is 64058208681888
Bases of 42028440672816
- Binary: 10011000111001100000100100011011011010001100002
- Hexadecimal: 0x26398246DA30
- Base-36: EWBLKFN00
Squares and roots of 42028440672816
- 42028440672816 squared (420284406728162) is 1766389825388414226761369856
- 42028440672816 cubed (420284406728163) is 74238609981402780783117933703382461034496
-
The
square root of 42028440672816 is 6482934.5726157069 -
The
cube root of 42028440672816 is 34768.1107528437
Scales and comparisons
How big is 42028440672816?- 42,028,440,672,816 seconds is equal to 1,336,374 years, 21 weeks, 2 days, 13 hours, 33 minutes, 36 seconds.
-
To count from 1 to 42,028,440,672,816 would take you about three million, three hundred forty thousand, nine 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 42028440672816 cubic inches would be around 2897.3 feet tall.
Recreational maths with 42028440672816
- 42028440672816 backwards is 61827604482024
- 42028440672816 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42028440672816's digits is 54
- More coming soon!
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MLA style:
"Number 42028440672816 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
APA style:
Numbermatics. (2024). Number 42028440672816 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/42028440672816/
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Numbermatics. 2024. "Number 42028440672816 - Facts about the integer". https://numbermatics.com/n/42028440672816/
The information we have on file for 42028440672816 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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