138917530752
138,917,530,752 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138917530752 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
138917530752 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138917530752:
27 × 3 × 72 × 11 × 13 × 17 × 3037
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 13 × 17 × 3037)See below for interesting mathematical facts about the number 138917530752 from the Numbermatics database.
Names of 138917530752
- Cardinal: 138917530752 can be written as One hundred thirty-eight billion, nine hundred seventeen million, five hundred thirty thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.38917530752 × 1011
Factors of 138917530752
Divisors of 138917530752
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 17 21 22 24 26 28 32 33 34 39 42 44 48 49 51 52 56 64 66 68 77 78 84 88 91 96 98 102 104 112 119 128 132 136 143 147 154 156 168 176 182 187 192 196 204 208 221 224 231 238 264 272 273 286 294 308 312 336 352 357 364 374 384 392 408 416 429 442 448 462 476 528 539 544 546 561 572 588 616 624 637 663 672 704 714 728 748 784 816 832 833 858 884 896 924 952 1001 1056 1078 1088 1092 1122 1144 1176 1232 1248 1274 1309 1326 1344 1408 1428 1456 1496 1547 1568 1617 1632 1664 1666 1716 1768 1848 1904 1911 2002 2112 2156 2176 2184 2244 2288 2352 2431 2464 2496 2499 2548 2618 2652 2688 2856 2912 2992 3003 3037 3094 3136 3234 3264 3332 3432 3536 3696 3808 3822 3927 4004 4224 4312 4368 4488 4576 4641 4704 4862 4928 4992 4998 5096 5236 5304 5712 5824 5984 6006 6074 6188 6272 6468 6528 6664 6864 7007 7072 7293 7392 7616 7644 7854 8008 8624 8736 8976 9111 9152 9163 9282 9408 9724 9856 9996 10192 10472 10608 10829 11424 11648 11968 12012 12148 12376 12936 13328 13728 14014 14144 14586 14784 15232 15288 15708 16016 17017 17248 17472 17952 18222 18304 18326 18564 18816 19448 19992 20384 20944 21021 21216 21259 21658 22848 23936 24024 24296 24752 25872 26656 27456 27489 28028 28288 29172 29568 30576 31416 32032 32487 33407 34034 34496 34944 35904 36444 36652 37128 38896 39481 39984 40768 41888 42042 42432 42518 43316 45696 48048 48592 49504 51051 51629 51744 53312 54912 54978 56056 58344 61152 62832 63777 64064 64974 66814 68068 68992 71808 72888 73304 74256 77792 78962 79968 81536 83776 84084 84864 85036 86632 96096 97184 99008 100221 102102 103258 103488 106624 109956 112112 116688 118443 119119 122304 125664 127554 128128 129948 133628 136136 145776 146608 148512 148813 154887 155584 157924 159936 167552 168168 170072 173264 192192 194368 198016 200442 204204 206516 206976 219912 224224 233376 233849 236886 238238 244608 251328 255108 259896 267256 272272 276367 291552 293216 297024 297626 309774 311168 315848 319872 336336 340144 346528 357357 361403 384384 388736 400884 408408 413032 434291 439824 446439 448448 466752 467698 473772 476476 502656 510216 519792 534512 544544 552734 567919 583104 586432 594048 595252 619548 631696 671177 672672 680288 693056 701547 714714 722806 801768 816816 826064 829101 868582 879648 892878 896896 933504 935396 947544 952952 1020432 1039584 1069024 1084209 1089088 1105468 1135838 1166208 1172864 1190504 1239096 1263392 1302873 1342354 1345344 1360576 1386112 1403094 1429428 1445612 1603536 1633632 1636943 1652128 1658202 1703757 1737164 1759296 1785756 1870792 1895088 1905904 1934569 2013531 2040864 2079168 2138048 2168418 2178176 2210936 2271676 2381008 2478192 2526784 2529821 2605746 2684708 2690688 2721152 2806188 2858856 2891224 3040037 3207072 3267264 3273886 3304256 3316404 3407514 3474328 3518592 3571512 3741584 3790176 3811808 3869138 3975433 4027062 4081728 4158336 4276096 4336836 4421872 4543352 4698239 4762016 4910829 4956384 5053568 5059642 5211492 5369416 5612376 5717712 5782448 5803707 6080074 6414144 6534528 6547772 6608512 6632808 6815028 6948656 7143024 7382947 7483168 7580352 7589463 7623616 7738276 7950866 8054124 8163456 8673672 8843744 9086704 9120111 9396478 9524032 9821658 9912768 10119284 10422984 10738832 11224752 11435424 11564896 11607414 11926299 12160148 12828288 13095544 13265616 13630056 13897312 14094717 14286048 14765894 14966336 15160704 15178926 15247232 15476552 15901732 16108248 17347344 17687488 18173408 18240222 18792956 19048064 19643316 19825536 20238568 20845968 21280259 21477664 22148841 22449504 22870848 23129792 23214828 23852598 24320296 26191088 26531232 27260112 27794624 27828031 28189434 28572096 29531788 29932672 30357852 30953104 31803464 32216496 32887673 34694688 35374976 36346816 36480444 37585912 39286632 40477136 41691936 42560518 42955328 44297682 44899008 45741696 46259584 46429656 47705196 48640592 51680629 52382176 53062464 54520224 55589248 55656062 56378868 57144192 59063576 60715704 61906208 63606928 63840777 64432992 65775346 69389376 72693632 72960888 75171824 78573264 80954272 83383872 83484093 85121036 85910656 88595364 89798016 92859312 95410392 97281184 98663019 103361258 104764352 106124928 109040448 111312124 112757736 118127152 121431408 123812416 127213856 127681554 128865984 131550692 138778752 145921776 150343648 155041887 157146528 161908544 166767744 166968186 170242072 177190728 185718624 190820784 194562368 197326038 206722516 209528704 218080896 222624248 225515472 236254304 242862816 247624832 254427712 255363108 257731968 263101384 291843552 300687296 310083774 314293056 323817088 333936372 340484144 354381456 361764403 371437248 381641568 389124736 394652076 413445032 445248496 451030944 472508608 485725632 508855424 510726216 526202768 583687104 601374592 620167548 628586112 667872744 680968288 708762912 723528806 742874496 763283136 789304152 826890064 890496992 902061888 945017216 971451264 1021452432 1052405536 1085293209 1167374208 1240335096 1335745488 1361936576 1417525824 1447057612 1526566272 1578608304 1653780128 1780993984 1804123776 2042904864 2104811072 2170586418 2480670192 2671490976 2723873152 2835051648 2894115224 3157216608 3307560256 3561987968 4085809728 4209622144 4341172836 4961340384 5342981952 5788230448 6314433216 6615120512 8171619456 8682345672 9922680768 10685963904 11576460896 12628866432 17364691344 19845361536 23152921792 34729382688 46305843584 69458765376 138917530752
- Sum of all divisors σ(n): 534127063680
- Sum of proper divisors (its aliquot sum) s(n): 395209532928
- 138917530752 is an abundant number, because the sum of its proper divisors (395209532928) is greater than itself. Its abundance is 256292002176
Bases of 138917530752
- Binary: 100000010110000010000101001100100000002
- Hexadecimal: 0x2058214C80
- Base-36: 1RTFWSQO
Squares and roots of 138917530752
- 138917530752 squared (1389175307522) is 19298080350232865685504
- 138917530752 cubed (1389175307523) is 2680841670508041049227087480619008
-
The
square root of 138917530752 is 372716.4213607979 -
The
cube root of 138917530752 is 5179.0768065009
Scales and comparisons
How big is 138917530752?- 138,917,530,752 seconds is equal to 4,417 years, 7 weeks, 4 days, 18 hours, 59 minutes, 12 seconds.
-
To count from 1 to 138,917,530,752 would take you about eight thousand, eight hundred thirty-four 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 138917530752 cubic inches would be around 431.6 feet tall.
Recreational maths with 138917530752
- 138917530752 backwards is 257035719831
- 138917530752 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138917530752's digits is 51
- More coming soon!
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The information we have on file for 138917530752 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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