42048807471216
42,048,807,471,216 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42048807471216 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
42048807471216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 42048807471216:
24 × 32 × 72 × 132 × 193 × 53 × 97
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 13 × 19 × 19 × 19 × 53 × 97)See below for interesting mathematical facts about the number 42048807471216 from the Numbermatics database.
Names of 42048807471216
- Cardinal: 42048807471216 can be written as Forty-two trillion, forty-eight billion, eight hundred seven million, four hundred seventy-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.2048807471216 × 1013
Factors of 42048807471216
Divisors of 42048807471216
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 28 36 38 39 42 48 49 52 53 56 57 63 72 76 78 84 91 97 98 104 106 112 114 117 126 133 144 147 152 156 159 168 169 171 182 194 196 208 212 228 234 247 252 266 273 291 294 304 312 318 336 338 342 361 364 371 388 392 399 424 441 456 468 477 494 504 507 532 546 582 588 624 636 637 676 679 684 689 722 728 741 742 776 784 798 819 848 873 882 912 931 936 954 988 1007 1008 1014 1064 1083 1092 1113 1164 1176 1183 1197 1261 1272 1274 1352 1358 1368 1378 1444 1456 1482 1484 1521 1552 1596 1638 1729 1746 1764 1843 1862 1872 1908 1911 1976 2014 2028 2037 2067 2128 2166 2184 2223 2226 2328 2352 2366 2394 2522 2527 2544 2548 2597 2704 2716 2736 2756 2793 2888 2964 2968 3021 3042 3192 3211 3249 3276 3339 3458 3492 3528 3549 3686 3724 3783 3816 3822 3952 4028 4056 4074 4134 4332 4368 4446 4452 4656 4693 4732 4753 4788 4823 5044 5054 5096 5141 5187 5194 5432 5512 5529 5586 5733 5776 5928 5936 6042 6084 6111 6201 6384 6422 6498 6552 6678 6859 6916 6984 7049 7056 7098 7372 7448 7566 7581 7632 7644 7791 8056 8112 8148 8268 8281 8379 8664 8827 8892 8904 8957 9063 9386 9464 9506 9576 9633 9646 10088 10108 10192 10282 10374 10388 10647 10864 11024 11058 11172 11349 11466 11856 12084 12103 12168 12222 12402 12844 12901 12996 13091 13104 13356 13718 13832 13968 14079 14098 14196 14259 14469 14744 14896 15132 15162 15288 15423 15561 15582 16112 16296 16393 16536 16562 16587 16758 17328 17654 17689 17784 17808 17914 18126 18772 18928 19012 19133 19152 19266 19292 20176 20216 20564 20577 20748 20776 21147 21294 22116 22344 22477 22698 22743 22932 23373 23959 24168 24206 24336 24444 24804 24843 25688 25802 25992 26182 26481 26712 26871 27436 27664 28158 28196 28392 28518 28899 28938 29488 30264 30324 30576 30846 31122 31164 32592 32786 32851 33072 33124 33174 33516 33761 35017 35308 35378 35568 35828 35987 36252 36309 37544 38024 38266 38532 38584 38703 39273 40432 41128 41154 41496 41552 42237 42294 42588 42777 43407 44232 44688 44954 45396 45486 45864 46269 46746 47918 48013 48336 48412 48888 49179 49343 49608 49686 51376 51604 51984 52364 52962 53067 53424 53742 54872 56316 56392 56784 57036 57399 57798 57876 60528 60648 61009 61692 61731 61789 62244 62328 62699 63441 65572 65702 66248 66348 66833 67032 67431 67522 70034 70616 70756 71656 71877 71974 72504 72618 74529 75088 76048 76532 77064 77168 77406 78546 79443 80613 82256 82308 82992 84474 84588 85176 85554 86814 88464 89167 89908 90307 90792 90972 91637 91728 92538 93492 95836 96026 96824 97679 97776 98358 98553 98686 99216 99372 101283 103208 104728 105051 105924 106134 107484 107961 108927 109744 112632 112784 114072 114751 114798 115596 115752 116109 117819 121296 122018 123384 123462 123578 124488 124656 125398 126882 131144 131404 132496 132696 133666 133931 134064 134862 135044 140068 141232 141512 143312 143754 143948 144039 145008 145236 147537 148029 149058 153064 154128 154812 157092 157339 158886 159201 161226 164616 167713 168948 169176 170183 170352 171108 172197 173628 178334 179816 180614 181584 181944 183027 183274 185076 185367 186984 188097 191672 192052 193648 195358 196716 197106 197372 198744 200499 202293 202566 206416 209456 210102 211848 212268 214968 215631 215922 217854 225264 228144 229502 229596 229957 231192 231504 232218 235638 244036 245119 246768 246924 247156 248729 248976 250796 251909 253764 262288 262808 265392 267332 267501 267862 269724 270088 270921 274911 280136 283024 287508 287896 288078 290472 293037 295074 295659 296058 298116 303849 306128 309624 311467 314184 314678 315153 317772 318402 322452 323883 329232 335426 336091 337896 338352 340366 342216 344253 344394 347256 356668 359632 361228 363527 363888 366054 366548 370152 370734 373968 376194 383344 384104 390716 393432 394212 394744 397488 400998 401793 404586 405132 420204 423696 424536 427063 429936 431262 431844 432117 435708 438893 444087 455221 459004 459192 459914 462384 464436 467831 471276 472017 488072 490238 493848 494312 497458 501592 503139 503818 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115518701844 116478691056 122949729448 124404755832 125145260331 132228954312 134771818818 138318445629 143023154664 144497620176 154024935792 158078223576 166860347108 170238086928 179695758424 184424594172 198343431468 202157728227 214534731996 216746430264 231037403688 245899458896 248809511664 250290520662 264457908624 269543637636 276636891258 286046309328 292005607439 316156447152 333720694216 359391516848 368849188344 375435780993 396686862936 404315456454 429069463992 433492860528 462074807376 500581041324 539087275272 553273782516 584011214878 667441388432 737698376688 750871561986 793373725872 808630912908 858138927984 876016822317 1001162082648 1078174550544 1106547565032 1168022429756 1501743123972 1617261825816 1752033644634 2002324165296 2213095130064 2336044859512 2628050466951 3003486247944 3234523651632 3504067289268 4672089719024 5256100933902 6006972495888 7008134578536 10512201867804 14016269157072 21024403735608 42048807471216
- Sum of all divisors σ(n): 161060629897440
- Sum of proper divisors (its aliquot sum) s(n): 119011822426224
- 42048807471216 is an abundant number, because the sum of its proper divisors (119011822426224) is greater than itself. Its abundance is 76963014955008
Bases of 42048807471216
- Binary: 10011000111110010000000011101110001000011100002
- Hexadecimal: 0x263E403B8870
- Base-36: EWKYEAT80
Squares and roots of 42048807471216
- 42048807471216 squared (420488074712162) is 1768102209751390500668518656
- 42048807471216 cubed (420488074712163) is 74346589407267788014455138105060079005696
-
The
square root of 42048807471216 is 6484505.1832206905 -
The
cube root of 42048807471216 is 34773.7260039983
Scales and comparisons
How big is 42048807471216?- 42,048,807,471,216 seconds is equal to 1,337,022 years, 4 days, 9 hours, 33 minutes, 36 seconds.
-
To count from 1 to 42,048,807,471,216 would take you about three million, three hundred forty-two thousand, five hundred fifty-five 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 42048807471216 cubic inches would be around 2897.8 feet tall.
Recreational maths with 42048807471216
- 42048807471216 backwards is 61217470884024
- The number of decimal digits it has is: 14
- The sum of 42048807471216's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 42048807471216 - Facts about the integer". Numbermatics.com. 2024. Web. 15 November 2024.
APA style:
Numbermatics. (2024). Number 42048807471216 - Facts about the integer. Retrieved 15 November 2024, from https://numbermatics.com/n/42048807471216/
Chicago style:
Numbermatics. 2024. "Number 42048807471216 - Facts about the integer". https://numbermatics.com/n/42048807471216/
The information we have on file for 42048807471216 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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