138629540516544
138,629,540,516,544 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138629540516544 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2520 divisors.
138629540516544 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 138629540516544:
26 × 32 × 74 × 11 × 31 × 612 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 7 × 11 × 31 × 61 × 61 × 79)See below for interesting mathematical facts about the number 138629540516544 from the Numbermatics database.
Names of 138629540516544
- Cardinal: 138629540516544 can be written as One hundred thirty-eight trillion, six hundred twenty-nine billion, five hundred forty million, five hundred sixteen thousand, five hundred forty-four.
Scientific notation
- Scientific notation: 1.38629540516544 × 1014
Factors of 138629540516544
Divisors of 138629540516544
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 31 32 33 36 42 44 48 49 56 61 62 63 64 66 72 77 79 84 88 93 96 98 99 112 122 124 126 132 144 147 154 158 168 176 183 186 192 196 198 217 224 231 237 244 248 252 264 279 288 294 308 316 336 341 343 352 366 372 392 396 427 434 441 448 462 474 488 496 504 528 539 549 553 558 576 588 616 632 651 671 672 682 686 693 704 711 732 744 784 792 854 868 869 882 924 948 976 992 1008 1023 1029 1056 1078 1098 1106 1116 1176 1232 1264 1281 1302 1342 1344 1364 1372 1386 1422 1464 1488 1519 1568 1584 1617 1659 1708 1736 1738 1764 1848 1891 1896 1952 1953 1984 2013 2016 2046 2058 2112 2156 2196 2212 2232 2352 2387 2401 2449 2464 2528 2562 2604 2607 2684 2728 2744 2772 2844 2928 2976 2989 3038 3069 3087 3136 3168 3234 3318 3416 3472 3476 3528 3696 3721 3773 3782 3792 3843 3871 3904 3906 4026 4032 4092 4116 4312 4392 4424 4464 4557 4697 4704 4774 4802 4819 4851 4898 4928 4977 5056 5124 5208 5214 5368 5456 5488 5544 5673 5688 5856 5952 5978 6039 6076 6083 6138 6174 6336 6468 6636 6832 6944 6952 7056 7161 7203 7347 7392 7442 7546 7564 7584 7686 7742 7812 7821 8052 8184 8232 8624 8784 8848 8928 8967 9114 9394 9408 9548 9604 9638 9702 9796 9954 10248 10416 10428 10633 10736 10912 10976 11088 11163 11319 11346 11376 11613 11712 11956 12078 12152 12166 12276 12348 12936 13237 13272 13664 13671 13888 13904 14091 14112 14322 14406 14457 14694 14784 14884 15092 15128 15168 15372 15484 15624 15642 16104 16368 16464 16709 17019 17143 17248 17568 17696 17856 17934 18228 18249 18788 19096 19208 19276 19404 19592 19908 20496 20801 20832 20856 20923 21266 21472 21483 21609 21824 21952 22041 22176 22326 22638 22692 22752 23226 23912 24156 24304 24332 24552 24696 25872 26047 26411 26474 26544 26901 26939 27097 27328 27342 27808 28182 28224 28644 28812 28914 29388 29768 30184 30256 30744 30968 31248 31284 31899 32208 32736 32879 32928 33418 33489 33733 33957 34038 34286 34496 34839 35136 35392 35868 36456 36498 37576 38192 38416 38552 38808 39184 39711 39816 40931 40992 41602 41664 41712 41846 42273 42532 42581 42944 42966 43218 43371 44082 44352 44652 45276 45384 45504 46452 47824 48312 48608 48664 49104 49392 50127 51429 51744 52094 52822 52948 53009 53088 53802 53878 54194 54684 54747 55616 56364 57288 57624 57828 58776 59536 60368 60512 61488 61936 62403 62496 62568 62769 63798 64416 65472 65758 65856 66836 66978 67466 67914 68076 68572 69678 71736 72912 72996 74431 75152 76384 76832 77104 77616 78141 78368 79233 79422 79632 80817 81291 81862 81984 83204 83424 83692 84546 85064 85162 85932 86436 86742 88164 89304 90552 90768 92659 92904 95648 95697 96624 97216 97328 98208 98637 98784 100254 101199 102858 103488 104188 105644 105896 106018 106176 107604 107756 108388 109368 109494 112728 114576 115248 115351 115656 116963 117552 119072 119133 120001 120736 121024 122793 122976 123872 124806 124992 125136 125538 127596 127743 128832 131516 133672 133956 134932 135828 136152 137144 139356 143472 145607 145824 145992 146461 148862 149389 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128598831648 131277973974 134722585536 135512747328 137529306068 139747520682 142038463644 146233692528 150031970256 157176349792 159527664576 159711452208 162329672736 175037298632 176823393516 186330027576 189384618192 194978256704 196916960961 200042627008 202083878304 203269120992 206293959102 206601401664 212948602944 219350538792 225047955384 235764524688 240676285619 248440036768 250686330048 252512824256 257197663296 262555947948 275058612136 279495041364 284076927288 292467385056 300063940512 309440938653 314352699584 319422904416 324659345472 350074597264 353646787032 372660055152 378769236384 393833921922 404167756608 406538241984 412587918204 438701077584 450095910768 471529049376 481352571238 496880073536 525111895896 550117224272 558990082728 568153854576 584934770112 600127881024 618881877306 638845808832 700149194528 707293574064 722028856857 745320110304 757538472768 787667843844 825175836408 877402155168 900191821536 943058098752 962705142476 1050223791792 1100234448544 1117980165456 1136307709152 1237763754612 1400298389056 1414587148128 1444057713714 1490640220608 1575335687688 1650351672816 1754804310336 1800383643072 1925410284952 2100447583584 2166086570571 2200468897088 2235960330912 2272615418304 2475527509224 2829174296256 2888115427428 3150671375376 3300703345632 3850820569904 4200895167168 4332173141142 4471920661824 4951055018448 5776230854856 6301342750752 6601406691264 7701641139808 8664346282284 9902110036896 11552461709712 12602685501504 15403282279616 17328692564568 19804220073792 23104923419424 34657385129136 46209846838848 69314770258272 138629540516544
- Sum of all divisors σ(n): 537424838645760
- Sum of proper divisors (its aliquot sum) s(n): 398795298129216
- 138629540516544 is an abundant number, because the sum of its proper divisors (398795298129216) is greater than itself. Its abundance is 260165757612672
Bases of 138629540516544
- Binary: 111111000010101001101001000010010010010110000002
- Hexadecimal: 0x7E15348492C0
- Base-36: 1D51J544W0
Squares and roots of 138629540516544
- 138629540516544 squared (1386295405165442) is 19218149503828114486337703936
- 138629540516544 cubed (1386295405165443) is 2664203235293939567613721750534692381917184
-
The
square root of 138629540516544 is 11774104.6588071401 -
The
cube root of 138629540516544 is 51754.9541202609
Scales and comparisons
How big is 138629540516544?- 138,629,540,516,544 seconds is equal to 4,407,990 years, 30 weeks, 19 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,629,540,516,544 would take you about eleven million, nineteen thousand, nine hundred seventy-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 138629540516544 cubic inches would be around 4312.9 feet tall.
Recreational maths with 138629540516544
- 138629540516544 backwards is 445615045926831
- 138629540516544 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138629540516544's digits is 63
- More coming soon!
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"Number 138629540516544 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 138629540516544 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138629540516544/
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The information we have on file for 138629540516544 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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