42138857204946
42,138,857,204,946 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42138857204946 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
42138857204946 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42138857204946:
2 × 33 × 19 × 23 × 61 × 67 × 6612
(2 × 3 × 3 × 3 × 19 × 23 × 61 × 67 × 661 × 661)See below for interesting mathematical facts about the number 42138857204946 from the Numbermatics database.
Names of 42138857204946
- Cardinal: 42138857204946 can be written as Forty-two trillion, one hundred thirty-eight billion, eight hundred fifty-seven million, two hundred four thousand, nine hundred forty-six.
Scientific notation
- Scientific notation: 4.2138857204946 × 1013
Factors of 42138857204946
Divisors of 42138857204946
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 6 9 18 19 23 27 38 46 54 57 61 67 69 114 122 134 138 171 183 201 207 342 366 402 414 437 513 549 603 621 661 874 1026 1098 1159 1206 1242 1273 1311 1322 1403 1541 1647 1809 1983 2318 2546 2622 2806 3082 3294 3477 3618 3819 3933 3966 4087 4209 4623 5949 6954 7638 7866 8174 8418 9246 10431 11457 11799 11898 12261 12559 12627 13869 15203 17847 20862 22914 23598 24522 25118 25254 26657 27738 29279 30406 31293 34371 35694 36783 37677 37881 40321 41607 44287 45609 53314 58558 62586 68742 73566 75354 75762 77653 79971 80642 83214 87837 88574 91218 94001 110349 113031 120963 132861 136827 155306 159942 175674 188002 220698 226062 232959 239913 241926 263511 265722 273654 282003 288857 339093 362889 398583 410481 436921 465918 479826 527022 564006 577714 678186 698877 719739 725778 766099 790533 797166 820962 841453 846009 866571 873842 927383 1018601 1088667 1195749 1310763 1397754 1439478 1532198 1581066 1682906 1692018 1733142 1786019 1854766 2037202 2096631 2177334 2298297 2391498 2524359 2538027 2599713 2621526 2701507 2782149 3055803 3572038 3932289 4193262 4596594 5048718 5076054 5199426 5358057 5403014 5564298 6111606 6894891 7573077 7799139 7864578 8104521 8301499 8346447 9167409 10049183 10716114 11796867 13789782 15146154 15598278 16074171 16209042 16602998 16692894 17620277 18334818 19353419 20098366 20684673 22719231 23593734 24313563 24904497 25039341 26652181 27502227 29273707 30147549 32148342 35240554 38706838 41369346 45438462 48222513 48627126 49808994 50078682 51328633 52860831 53304362 55004454 58060257 58547414 60295098 62134661 72940689 74713491 79956543 87821121 90442647 96445026 102657266 105721662 116120514 124269322 145881378 149426982 153985899 158582493 159913086 174180771 175642242 180885294 186403983 190934477 224140473 239869629 263463363 271327941 307971798 317164986 348361542 372807966 381868954 448280946 461957697 475747479 479739258 506391439 522542313 526926726 542655882 556200433 559211949 572803431 613000163 673295261 719608887 790390089 923915394 951494958 1012782878 1045084626 1112400866 1118423898 1145606862 1180558559 1226000326 1346590522 1385873091 1439217774 1519174317 1580780178 1668601299 1677635847 1718410293 1785696127 1839000489 2019885783 2361117118 2771746182 3038348634 3337202598 3355271694 3436820586 3541675677 3571392254 3678000978 4039771566 4557522951 5005803897 5155230879 5357088381 5517001467 6059657349 7083351354 9115045902 10011607794 10310461758 10625027031 10714176762 11034002934 11647003097 12119314698 12792609959 13672568853 15017411691 16071265143 16551004401 18178972047 21250054062 23294006194 25585219918 27345137706 30034823382 31875081093 32142530286 33102008802 33928226413 34941009291 36357944094 38377829877 41071010921 48213795429 63750162186 67856452826 69882018582 76755659754 82142021842 96427590858 101784679239 104823027873 115133489631 123213032763 203569358478 209646055746 230266979262 246426065526 305354037717 314469083619 345400468893 369639098289 610708075434 628938167238 690800937786 739278196578 780349207499 916062113151 1108917294867 1560698414998 1832124226302 2217834589734 2341047622497 4682095244994 7023142867491 14046285734982 21069428602473 42138857204946
- Sum of all divisors σ(n): 106263355852800
- Sum of proper divisors (its aliquot sum) s(n): 64124498647854
- 42138857204946 is an abundant number, because the sum of its proper divisors (64124498647854) is greater than itself. Its abundance is 21985641442908
Bases of 42138857204946
- Binary: 10011001010011001101111001110101101100110100102
- Hexadecimal: 0x2653379D6CD2
- Base-36: EXQBNL4GI
Squares and roots of 42138857204946
- 42138857204946 squared (421388572049462) is 1775683286538829415446862916
- 42138857204946 cubed (421388572049463) is 74825264452668944527895880894099779182536
-
The
square root of 42138857204946 is 6491444.9242788773 -
The
cube root of 42138857204946 is 34798.5315596043
Scales and comparisons
How big is 42138857204946?- 42,138,857,204,946 seconds is equal to 1,339,885 years, 16 weeks, 2 days, 16 hours, 29 minutes, 6 seconds.
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To count from 1 to 42,138,857,204,946 would take you about three million, three hundred forty-nine thousand, seven hundred thirteen 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 42138857204946 cubic inches would be around 2899.9 feet tall.
Recreational maths with 42138857204946
- 42138857204946 backwards is 64940275883124
- The number of decimal digits it has is: 14
- The sum of 42138857204946's digits is 63
- More coming soon!
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