138234912816
138,234,912,816 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138234912816 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138234912816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138234912816:
24 × 3 × 7 × 113 × 132 × 31 × 59
(2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 11 × 13 × 13 × 31 × 59)See below for interesting mathematical facts about the number 138234912816 from the Numbermatics database.
Names of 138234912816
- Cardinal: 138234912816 can be written as One hundred thirty-eight billion, two hundred thirty-four million, nine hundred twelve thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38234912816 × 1011
Factors of 138234912816
Divisors of 138234912816
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 31 33 39 42 44 48 52 56 59 62 66 77 78 84 88 91 93 104 112 118 121 124 132 143 154 156 168 169 176 177 182 186 208 217 231 236 242 248 264 273 286 308 312 336 338 341 354 363 364 372 403 413 429 434 462 472 484 496 507 528 546 572 616 624 649 651 676 682 708 726 728 744 767 806 826 847 858 868 924 944 968 1001 1014 1023 1092 1144 1183 1209 1232 1239 1298 1302 1331 1352 1364 1416 1452 1456 1488 1534 1573 1612 1652 1694 1716 1736 1829 1848 1859 1936 1947 2002 2028 2046 2184 2288 2301 2366 2387 2418 2478 2541 2596 2604 2662 2704 2728 2821 2832 2904 3003 3068 3146 3224 3304 3388 3432 3472 3549 3658 3696 3718 3751 3894 3993 4004 4056 4092 4368 4433 4543 4602 4719 4732 4774 4836 4956 5082 5192 5208 5239 5324 5369 5456 5487 5577 5642 5808 6006 6136 6292 6448 6608 6776 6864 7098 7139 7161 7316 7436 7502 7788 7986 8008 8112 8184 8437 8463 8866 9086 9204 9317 9438 9464 9548 9672 9912 9971 10164 10384 10416 10478 10648 10738 10974 11011 11154 11253 11284 12012 12272 12584 12803 13013 13299 13552 13629 14196 14278 14322 14632 14872 15004 15576 15717 15972 16016 16107 16368 16874 16926 17303 17732 18172 18408 18634 18876 18928 19096 19344 19824 19942 20119 20328 20449 20956 21296 21417 21476 21948 22022 22308 22506 22568 23777 24024 25168 25311 25606 26026 26257 26598 27258 27951 28392 28556 28644 29264 29744 29913 30008 31031 31152 31434 31944 32214 33033 33748 33852 34606 35464 36344 36673 36816 37268 37752 38192 38409 39039 39884 40238 40656 40898 41261 41912 42834 42952 43896 44044 44616 45012 45136 47554 48048 48763 49973 50622 51212 51909 52052 52514 53196 54516 55902 56784 57112 57288 57629 59059 59826 60016 60357 61347 62062 62868 63888 64428 66066 67496 67704 69212 69797 70928 71331 72688 73346 74536 75504 76818 78078 78529 78771 79768 80476 81796 82522 83824 85668 85904 87792 88088 89232 90024 92807 93093 95108 97526 99946 101244 102424 103818 104104 105028 106392 109032 109681 110019 111804 114224 114576 115258 118118 119652 120714 121121 122694 123783 124124 125736 128856 132132 134992 135408 138424 139594 140833 142662 143143 146289 146692 149072 149919 153636 156156 157058 157542 159536 160952 163592 165044 166439 171336 172887 176176 177177 180048 185614 186186 190216 195052 199892 202488 204848 207636 208208 209391 210056 212784 218064 219362 220038 221309 223608 224939 230516 235587 236236 239304 241428 242242 245388 247566 248248 251472 257712 261547 264264 276848 278421 279188 281666 285324 286286 288827 292578 293384 299838 307272 309101 312312 314116 315084 321904 327184 329043 330088 332878 341341 342672 345774 354354 363363 371228 372372 380432 390104 399784 403403 404976 415272 418782 420112 422499 429429 438724 440076 442618 447216 449878 461032 471174 472472 478608 482856 484484 490776 495132 496496 499317 523094 528528 536393 549703 556842 558376 563332 570648 572572 577654 585156 586768 599676 614544 618202 624624 628232 630168 633919 649649 658086 660176 663927 665756 674817 682682 691548 708708 726726 742456 744744 767767 780208 784641 799568 806806 830544 837564 844998 858858 866481 877448 880152 885236 899756 922064 927303 942348 944944 965712 968968 981552 990264 998634 1020877 1024023 1046188 1072786 1099406 1113684 1116752 1126664 1141296 1145144 1155308 1170312 1199352 1206491 1210209 1236404 1256464 1260336 1267838 1299298 1316172 1327854 1331512 1349634 1365364 1383096 1417416 1453452 1484912 1489488 1535534 1549163 1569282 1574573 1609179 1613612 1649109 1675128 1689996 1717716 1732962 1754896 1760304 1770472 1799512 1830829 1854606 1884696 1901757 1937936 1948947 1980528 1997268 2041754 2048046 2092376 2145572 2163707 2198812 2227368 2253328 2290288 2303301 2310616 2340624 2398704 2412982 2420418 2434399 2472808 2535676 2598596 2632344 2655708 2663024 2699268 2730728 2766192 2834832 2877017 2906904 3062631 3071068 3098326 3138564 3149146 3218358 3227224 3298218 3350256 3379992 3400111 3435432 3465924 3540944 3599024 3619473 3661658 3709212 3754751 3769392 3803514 3897894 3994536 4083508 4096092 4184752 4291144 4327414 4397624 4437433 4454736 4606602 4621232 4647489 4723719 4825964 4840836 4868798 4945616 5071352 5197192 5264688 5311416 5398536 5461456 5492487 5754034 5813808 6125262 6142136 6196652 6277128 6298292 6436716 6454448 6491121 6596436 6759984 6800222 6870864 6931848 6973109 7146139 7238946 7303197 7323316 7418424 7509502 7607028 7795788 7989072 8167016 8192184 8445437 8582288 8631051 8654828 8795248 8874866 9213204 9294978 9447438 9651928 9681672 9737596 10142704 10200333 10394384 10622832 10797072 10984974 11264253 11508068 12250524 12284272 12393304 12554256 12596584 12873432 12982242 13192872 13271401 13312299 13600444 13863696 13946218 14292278 14477892 14606394 14646632 14836848 15019004 15214056 15591576 16334032 16384368 16890874 17040793 17262102 17309656 17749732 18426408 18589956 18894876 19303856 19363344 19475192 20139119 20400666 20919327 21438417 21969948 22528506 23016136 23800777 24501048 24786608 25193168 25336311 25746864 25964484 26385744 26542802 26624598 27200888 27892436 28584556 28955784 29212788 29293264 30038008 30428112 31183152 31647187 33781748 34081586 34524204 34619312 35499464 36852816 37179912 37401221 37789752 38950384 39814203 40278238 40801332 41838654 42876834 43939896 45057012 46032272 47601554 48811763 49002096 50672622 51122379 51928968 53085604 53249196 54401776 55784872 57169112 57911568 58425576 60076016 60417357 63294374 67563496 68163172 69048408 70998928 71402331 74359824 74802442 75579504 79628406 80556476 81602664 83677308 85753668 87879792 90114024 92899807 94941561 95203108 97623526 101345244 102244758 103857936 106171208 106498392 111569744 112203663 114338224 116851152 120834714 126588748 135126992 136326344 138096816 142804662 146435289 149604884 159256812 161112952 163205328 167354616 171507336 180228048 185799614 189883122 190406216 195247052 202690488 204489516 212342416 212996784 221530309 224407326 241669428 253177496 261808547 272652688 278699421 285609324 292870578 299209768 318513624 322225904 334709232 343014672 371599228 379766244 380812432 390494104 405380976 408979032 411413431 443060618 448814652 483338856 506354992 523617094 557398842 571218648 585741156 598419536 637027248 664590927 743198456 759532488 780988208 785425641 817958064 822826862 886121236 897629304 966677712 1047234188 1114797684 1142437296 1171482312 1234240293 1329181854 1486396912 1519064976 1570851282 1645653724 1772242472 1795258608 2094468376 2229595368 2342964624 2468480586 2658363708 2879894017 3141702564 3291307448 3544484944 4188936752 4459190736 4936961172 5316727416 5759788034 6283405128 6582614896 8639682051 9873922344 10633454832 11519576068 12566810256 17279364102 19747844688 23039152136 34558728204 46078304272 69117456408 138234912816
- Sum of all divisors σ(n): 510275911680
- Sum of proper divisors (its aliquot sum) s(n): 372040998864
- 138234912816 is an abundant number, because the sum of its proper divisors (372040998864) is greater than itself. Its abundance is 233806086048
Bases of 138234912816
- Binary: 100000001011110111000101100000001100002
- Hexadecimal: 0x202F716030
- Base-36: 1RI5HXDC
Squares and roots of 138234912816
- 138234912816 squared (1382349128162) is 19108891121247121049856
- 138234912816 cubed (1382349128163) is 2641515898156032263517842549354496
-
The
square root of 138234912816 is 371799.5599997397 -
The
cube root of 138234912816 is 5170.5798293397
Scales and comparisons
How big is 138234912816?- 138,234,912,816 seconds is equal to 4,395 years, 23 weeks, 2 hours, 53 minutes, 36 seconds.
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To count from 1 to 138,234,912,816 would take you about eight thousand, seven hundred ninety 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 138234912816 cubic inches would be around 430.9 feet tall.
Recreational maths with 138234912816
- 138234912816 backwards is 618219432831
- 138234912816 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138234912816's digits is 48
- More coming soon!
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The information we have on file for 138234912816 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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