42209891901957456
42,209,891,901,957,456 is an even composite number composed of five prime numbers multiplied together.
What does the number 42209891901957456 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1350 divisors.
42209891901957456 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 42209891901957456:
24 × 314 × 312 × 61 × 972
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 31 × 31 × 61 × 97 × 97)See below for interesting mathematical facts about the number 42209891901957456 from the Numbermatics database.
Names of 42209891901957456
- Cardinal: 42209891901957456 can be written as Forty-two quadrillion, two hundred nine trillion, eight hundred ninety-one billion, nine hundred one million, nine hundred fifty-seven thousand, four hundred fifty-six.
Scientific notation
- Scientific notation: 4.2209891901957456 × 1016
Factors of 42209891901957456
Divisors of 42209891901957456
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 61 62 72 81 93 97 108 122 124 144 162 183 186 194 216 243 244 248 279 291 324 366 372 388 432 486 488 496 549 558 582 648 729 732 744 776 837 873 961 972 976 1098 1116 1164 1296 1458 1464 1488 1552 1647 1674 1746 1891 1922 1944 2187 2196 2232 2328 2511 2619 2883 2916 2928 3007 3294 3348 3492 3782 3844 3888 4374 4392 4464 4656 4941 5022 5238 5673 5766 5832 5917 6014 6561 6588 6696 6984 7533 7564 7688 7857 8649 8748 8784 9021 9409 9882 10044 10476 11346 11532 11664 11834 12028 13122 13176 13392 13968 14823 15066 15128 15376 15714 17019 17298 17496 17751 18042 18818 19683 19764 20088 20952 22599 22692 23064 23571 23668 24056 25947 26244 26352 27063 28227 29646 30132 30256 31428 34038 34596 34992 35502 36084 37636 39366 39528 40176 41904 44469 45198 45384 46128 47142 47336 48112 51057 51894 52488 53253 54126 56454 58621 59049 59292 60264 62856 67797 68076 69192 70713 71004 72168 75272 77841 78732 79056 81189 84681 88938 90396 90768 93217 94284 94672 102114 103788 104976 106506 108252 112908 117242 118098 118584 120528 125712 133407 135594 136152 138384 141426 142008 144336 150544 153171 155682 157464 159759 162378 169362 175863 177147 177876 180792 183427 186434 188568 203391 204228 207576 212139 213012 216504 225816 233523 234484 236196 237168 243567 254043 266814 271188 272304 279651 282852 284016 291679 306342 311364 314928 319518 324756 338724 351726 354294 355752 361584 366854 372868 377136 400221 406782 408456 415152 424278 426024 433008 451632 459513 467046 468968 472392 479277 487134 508086 527589 531441 533628 542376 550281 559302 565704 573949 583358 610173 612684 622728 636417 639036 649512 677448 700569 703452 708588 711504 730701 733708 745736 762129 800442 813564 816912 838953 848556 852048 875037 919026 934092 937936 944784 958554 974268 1016172 1055178 1062882 1067256 1084752 1100562 1118604 1131408 1147898 1166716 1200663 1220346 1225368 1245456 1272834 1278072 1299024 1354896 1378539 1401138 1406904 1417176 1437831 1461402 1467416 1491472 1524258 1582767 1594323 1600884 1627128 1650843 1677906 1697112 1721847 1750074 1830519 1838052 1868184 1909251 1917108 1948536 2032344 2101707 2110356 2125764 2134512 2192103 2201124 2237208 2286387 2295796 2333432 2401326 2440692 2450736 2516859 2545668 2556144 2625111 2757078 2802276 2813808 2834352 2875662 2922804 2934832 3048516 3165534 3188646 3201768 3254256 3301686 3355812 3394224 3443694 3500148 3601989 3661038 3676104 3736368 3818502 3834216 3897072 4064688 4135617 4203414 4220712 4251528 4313493 4384206 4402248 4474416 4572774 4591592 4666864 4748301 4782969 4802652 4881384 4952529 5033718 5091336 5165541 5250222 5491557 5514156 5604552 5686237 5727753 5751324 5845608 6097032 6305121 6331068 6377292 6403536 6576309 6603372 6711624 6859161 6887388 7000296 7203978 7322076 7352208 7550577 7637004 7668432 7875333 8271234 8406828 8441424 8503056 8626986 8768412 8804496 9042049 9145548 9183184 9496602 9565938 9605304 9762768 9905058 10067436 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691965441015696 781664664851064 879372747957447 1172496997276596 1361609416192176 1563329329702128 1758745495914894 2344993994553192 2638118243872341 3517490991829788 4689987989106384 5276236487744682 7034981983659576 10552472975489364 14069963967319152 21104945950978728 42209891901957456
- Sum of all divisors σ(n): 130177198380738366
- Sum of proper divisors (its aliquot sum) s(n): 87967306478780910
- 42209891901957456 is an abundant number, because the sum of its proper divisors (87967306478780910) is greater than itself. Its abundance is 45757414576823454
Bases of 42209891901957456
- Binary: 100101011111010110101100010011001101001011100101010100002
- Hexadecimal: 0x95F5AC4CD2E550
- Base-36: BJM5ON7B900
Squares and roots of 42209891901957456
- 42209891901957456 squared (422098919019574562) is 1781674974374933622321844433991936
- 42209891901957456 cubed (422098919019574563) is 75204308072788768636520540636031932350102519074816
-
The
square root of 42209891901957456 is 205450460.9436480579 -
The
cube root of 42209891901957456 is 348180.7421471061
Scales and comparisons
How big is 42209891901957456?- 42,209,891,901,957,456 seconds is equal to 1,342,143,998 years, 37 weeks, 21 hours, 57 minutes, 36 seconds.
-
To count from 1 to 42,209,891,901,957,456 would take you about four billion, twenty-six million, four hundred thirty-one thousand, nine hundred ninety-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 42209891901957456 cubic inches would be around 29015.1 feet tall.
Recreational maths with 42209891901957456
- 42209891901957456 backwards is 65475910919890224
- 42209891901957456 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42209891901957456's digits is 81
- More coming soon!
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MLA style:
"Number 42209891901957456 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 42209891901957456 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/42209891901957456/
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Numbermatics. 2024. "Number 42209891901957456 - Facts about the integer". https://numbermatics.com/n/42209891901957456/
The information we have on file for 42209891901957456 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!
Keywords: Divisors of 42209891901957456, math, Factors of 42209891901957456, curriculum, school, college, exams, university, Prime factorization of 42209891901957456, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, two hundred nine trillion, eight hundred ninety-one billion, nine hundred one million, nine hundred fifty-seven thousand, four hundred fifty-six.