42538074210216
42,538,074,210,216 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42538074210216 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
42538074210216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42538074210216:
23 × 33 × 13 × 19 × 472 × 612 × 97
(2 × 2 × 2 × 3 × 3 × 3 × 13 × 19 × 47 × 47 × 61 × 61 × 97)See below for interesting mathematical facts about the number 42538074210216 from the Numbermatics database.
Names of 42538074210216
- Cardinal: 42538074210216 can be written as Forty-two trillion, five hundred thirty-eight billion, seventy-four million, two hundred ten thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.2538074210216 × 1013
Factors of 42538074210216
Divisors of 42538074210216
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 47 52 54 57 61 72 76 78 94 97 104 108 114 117 122 141 152 156 171 183 188 194 216 228 234 244 247 282 291 312 342 351 366 376 388 423 456 468 488 494 513 549 564 582 611 684 702 732 741 776 793 846 873 893 936 988 1026 1098 1128 1159 1164 1222 1261 1269 1368 1404 1464 1482 1586 1647 1692 1746 1786 1833 1843 1976 2052 2196 2209 2223 2318 2328 2379 2444 2522 2538 2619 2679 2808 2867 2964 3172 3294 3384 3477 3492 3572 3666 3686 3721 3783 4104 4392 4418 4446 4559 4636 4758 4888 5044 5076 5238 5358 5499 5529 5734 5917 5928 6344 6588 6627 6669 6954 6984 7137 7144 7332 7372 7442 7566 8037 8601 8836 8892 9118 9272 9516 10088 10152 10431 10476 10716 10998 11058 11163 11349 11468 11609 11834 13176 13254 13338 13677 13908 14274 14664 14744 14884 15067 15132 16074 16497 16587 17202 17672 17751 17784 18236 19032 19881 20862 20952 21411 21432 21996 22116 22326 22698 22936 23218 23668 23959 24111 25803 26508 26676 27354 27816 28548 28717 29768 30134 30264 31293 32148 32994 33174 33489 34047 34404 34827 35502 36472 37271 39762 41031 41724 41971 42822 43992 44232 44652 45201 45396 46436 47336 47918 48222 48373 49761 51606 53016 53253 53352 54473 54708 57096 57434 59267 59643 60268 62586 64296 65988 66348 66978 68094 68808 69654 70699 71004 71877 74542 76921 77409 79524 82062 83448 83942 85644 86151 86621 89304 90402 90792 92872 95836 96444 96746 99522 100467 103212 104481 106506 108946 109416 111813 112423 114868 118534 119286 120536 123093 125172 125913 131976 132696 133956 134749 135603 136188 139308 141398 142008 143754 145119 149084 153842 154818 159048 159759 163419 164124 167884 171288 172302 173242 174887 177801 180804 191672 192888 193492 199044 200934 206424 208962 212097 213012 214273 215631 217892 223626 224846 229736 230763 237068 238572 246186 250344 251826 258453 259863 267912 269498 271206 272376 278099 278616 282796 287508 290238 298168 307684 309636 313443 319518 326838 328248 335439 335768 337269 344604 346484 349774 355602 360937 361608 377739 386984 398088 401868 404247 406809 417924 424194 426024 428546 431262 435357 435784 447252 449692 461526 474136 477144 490257 492372 503652 516906 519726 524661 533403 538996 542412 545623 556198 565592 575016 580476 615368 619272 626886 636291 639036 642819 646893 653676 670878 674538 689208 692289 692968 699548 708149 711204 721874 755478 775359 779589 803736 808494 813618 834297 835848 848388 857092 862524 870714 894504 899384 919087 923052 980514 984744 1006317 1007304 1011807 1033812 1039452 1049322 1066806 1077992 1082811 1084824 1091246 1112396 1126073 1133217 1160952 1212741 1253772 1272582 1278072 1285638 1293786 1306071 1307352 1341756 1349076 1384578 1399096 1416298 1422408 1443748 1461499 1470771 1510956 1550718 1559178 1573983 1600209 1616988 1627236 1636869 1668594 1696776 1714184 1725048 1741428 1751737 1838174 1846104 1908873 1928457 1961028 2012634 2023614 2067624 2076867 2078904 2098644 2124447 2133612 2165622 2182492 2224792 2252146 2266434 2273531 2338767 2425482 2502891 2507544 2545164 2560231 2571276 2587572 2612142 2683512 2698152 2757261 2769156 2785549 2832596 2887496 2922998 2941542 3021912 3035421 3101436 3118356 3147966 3200418 3233976 3248433 3254472 3273738 3322853 3337188 3378219 3482856 3503474 3615287 3638223 3676348 3817746 3856914 3922056 4025268 4047228 4071187 4153734 4197288 4248894 4267224 4331244 4364984 4384497 4504292 4532868 4547062 4677534 4692181 4721949 4850964 4910607 5005782 5090328 5120462 5142552 5175144 5224284 5255211 5283881 5514522 5538312 5571098 5665192 5785371 5845996 5883084 6070842 6202872 6236712 6295932 6373341 6400836 6496866 6547476 6645706 6674376 6756438 6820593 6857803 7006948 7230574 7276446 7352696 7508673 7635492 7680693 7713828 8050536 8094456 8142374 8219689 8271783 8307468 8356647 8497788 8662488 8768994 9008584 9065736 9094124 9355068 9384362 9443898 9701928 9745299 9821214 9968559 10011564 10134657 10240924 10448568 10510422 10567762 10845861 11029044 11142196 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8433400914 8702552007 8940326652 9175598406 9330571224 9567717996 9628355412 9685353873 10365027829 11244534552 11431893096 11540443356 11603402676 11908755378 12181579098 12234131208 12570352899 12913805164 13410489978 14351576994 14837137848 15148886827 15878340504 16242105464 16760470532 16866801828 17405104014 17880653304 18272368647 18351196812 19135435992 19256710824 19370707746 20730055658 21527365491 23080886712 23206805352 23817510756 24363158196 25140705798 25827610328 26820979956 28703153988 29056061619 30297773654 31095083487 33520941064 33733603656 34810208028 36544737294 36702393624 37711058697 38741415492 41460111316 43054730982 45446660481 47635021512 48726316392 50281411596 53641959912 54817105941 57406307976 58112123238 60595547308 62190166974 69620416056 73089474588 75422117394 77482830984 82920222632 86109461964 87168184857 90893320962 93285250461 100562823192 109634211882 113133176091 116224246476 121191094616 124380333948 136339981443 146178949176 150844234788 172218923928 174336369714 181786641924 186570500922 196935528751 219268423764 226266352182 232448492952 248760667896 272679962886 279855751383 301688469576 348672739428 363573283848 373141001844 393871057502 409019944329 438536847528 452532704364 545359925772 559711502766 590806586253 697345478856 746282003688 787742115004 818039888658 905065408728 1090719851544 1119423005532 1181613172506 1575484230008 1636079777316 1772419758759 2238846011064 2363226345012 3272159554632 3544839517518 4726452690024 5317259276277 7089679035036 10634518552554 14179358070072 21269037105108 42538074210216
- Sum of all divisors σ(n): 140573435184000
- Sum of proper divisors (its aliquot sum) s(n): 98035360973784
- 42538074210216 is an abundant number, because the sum of its proper divisors (98035360973784) is greater than itself. Its abundance is 55497286763568
Bases of 42538074210216
- Binary: 10011010110000001010101100110101111111101010002
- Hexadecimal: 0x26B02ACD7FA8
- Base-36: F2TPZ3160
Squares and roots of 42538074210216
- 42538074210216 squared (425380742102162) is 1809487757513843572158766656
- 42538074210216 cubed (425380742102163) is 76972124511601212330444096126587835357696
-
The
square root of 42538074210216 is 6522121.9101007305 -
The
cube root of 42538074210216 is 34908.0783072571
Scales and comparisons
How big is 42538074210216?- 42,538,074,210,216 seconds is equal to 1,352,579 years, 9 weeks, 2 days, 21 hours, 3 minutes, 36 seconds.
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To count from 1 to 42,538,074,210,216 would take you about three million, three hundred eighty-one thousand, four hundred forty-seven 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 42538074210216 cubic inches would be around 2909 feet tall.
Recreational maths with 42538074210216
- 42538074210216 backwards is 61201247083524
- The number of decimal digits it has is: 14
- The sum of 42538074210216's digits is 45
- More coming soon!
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The information we have on file for 42538074210216 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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