138627230976
138,627,230,976 is an even composite number composed of six prime numbers multiplied together.
138627230976 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138627230976:
28 × 35 × 13 × 23 × 29 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 23 × 29 × 257)See below for interesting mathematical facts about the number 138627230976 from the Numbermatics database.
Names of 138627230976
- Cardinal: 138627230976 can be written as One hundred thirty-eight billion, six hundred twenty-seven million, two hundred thirty thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.38627230976 × 1011
Factors of 138627230976
Divisors of 138627230976
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 29 32 36 39 46 48 52 54 58 64 69 72 78 81 87 92 96 104 108 116 117 128 138 144 156 162 174 184 192 207 208 216 232 234 243 256 257 261 276 288 299 312 324 348 351 368 377 384 414 416 432 464 468 486 514 522 552 576 598 621 624 648 667 696 702 736 754 768 771 783 828 832 864 897 928 936 972 1028 1044 1053 1104 1131 1152 1196 1242 1248 1296 1334 1392 1404 1472 1508 1542 1566 1656 1664 1728 1794 1856 1863 1872 1944 2001 2056 2088 2106 2208 2262 2304 2313 2349 2392 2484 2496 2592 2668 2691 2784 2808 2944 3016 3084 3132 3159 3312 3328 3341 3393 3456 3588 3712 3726 3744 3888 4002 4112 4176 4212 4416 4524 4626 4698 4784 4968 4992 5184 5336 5382 5568 5589 5616 5888 5911 6003 6032 6168 6264 6318 6624 6682 6786 6912 6939 7047 7176 7424 7452 7453 7488 7776 8004 8073 8224 8352 8424 8671 8832 9048 9252 9396 9568 9936 9984 10023 10179 10368 10672 10764 11136 11178 11232 11822 12006 12064 12336 12528 12636 13248 13364 13572 13878 14094 14352 14904 14906 14976 15552 16008 16146 16448 16704 16848 17342 17664 17733 18009 18096 18504 18792 19136 19872 20046 20358 20736 20817 21344 21528 22272 22356 22359 22464 23644 24012 24128 24219 24672 25056 25272 26013 26496 26728 27144 27756 28188 28704 29808 29812 29952 30069 30537 31104 32016 32292 32896 33408 33696 34684 35466 36018 36192 37008 37584 38272 39744 40092 40716 41634 42688 43056 44712 44718 44928 47288 48024 48256 48438 49344 50112 50544 52026 52992 53199 53456 54027 54288 55512 56376 57408 59616 59624 60138 61074 62208 62451 64032 64584 65792 66816 67077 67392 69368 70932 72036 72384 72657 74016 75168 76544 76843 78039 79488 80184 81432 83268 85376 86112 89424 89436 89856 90207 91611 94576 96048 96512 96876 96889 98688 100224 101088 104052 106398 106912 108054 108576 111024 112752 114816 119232 119248 120276 122148 124902 128064 129168 134154 134784 138736 141864 144072 144768 145314 148032 150336 153686 156078 158976 159597 160368 162081 162864 166536 170752 171419 172224 178848 178872 180414 183222 189152 192096 193752 193778 197376 200448 201231 202176 208104 212796 213824 216108 217152 222048 225504 229632 230529 234117 238464 238496 240552 244296 249804 256128 258336 268308 269568 270621 277472 283728 288144 289536 290628 290667 296064 300672 307372 312156 319194 320736 324162 325728 333072 342838 344448 357696 357744 360828 366444 378304 384192 387504 387556 402462 404352 416208 425592 427648 432216 434304 444096 451008 461058 468234 476928 476992 478791 481104 488592 499608 512256 514257 516672 536616 541242 554944 567456 576288 581256 581334 592128 601344 603693 614744 624312 638388 641472 648324 651456 666144 685676 688896 691587 702351 715392 715488 721656 732888 756608 768384 775008 775112 804924 808704 811863 832416 851184 855296 864432 868608 872001 888192 902016 922116 936468 953984 957582 962208 977184 999216 1028514 1033344 1073232 1082484 1109888 1134912 1152576 1162512 1162668 1207386 1229488 1248624 1276776 1282944 1296648 1302912 1332288 1371352 1383174 1404702 1430784 1430976 1436373 1443312 1465776 1513216 1536768 1542771 1550016 1550224 1609848 1623726 1664832 1702368 1728864 1744002 1776384 1804032 1811079 1844232 1872936 1907968 1915164 1924416 1954368 1998432 2057028 2066688 2074761 2107053 2146464 2164968 2219776 2228447 2269824 2305152 2325024 2325336 2414772 2458976 2497248 2553552 2565888 2593296 2605824 2616003 2664576 2742704 2766348 2809404 2861952 2872746 2886624 2931552 3085542 3100032 3100448 3219696 3247452 3329664 3404736 3457728 3488004 3622158 3688464 3745872 3830328 3848832 3908736 3996864 4114056 4149522 4214106 4292928 4329936 4456894 4539648 4610304 4628313 4650048 4650672 4829544 4917952 4994496 5107104 5186592 5232006 5329152 5485408 5532696 5618808 5723904 5745492 5773248 5863104 6171084 6200064 6200896 6224283 6439392 6494904 6659328 6685341 6809472 6915456 6976008 7244316 7376928 7491744 7660656 7697664 7817472 7848009 7993728 8228112 8299044 8428212 8585856 8659872 8913788 9256626 9300096 9301344 9659088 9835904 9988992 10214208 10373184 10464012 10970816 11065392 11237616 11490984 11546496 11726208 12342168 12401792 12448566 12878784 12989808 13370682 13618944 13830912 13884939 13952016 14488632 14753856 14983488 15321312 15696018 15987456 16456224 16598088 16856424 17171712 17319744 17827576 18513252 18600192 18602688 18672849 19318176 19671808 19977984 20056023 20428416 20746368 20928024 21941632 22130784 22475232 22981968 23092992 23452416 23544027 24684336 24803584 24897132 25757568 25979616 26741364 27769878 27904032 28977264 29507712 29966976 30642624 31392036 32912448 33196176 33712848 34639488 35655152 37026504 37205376 37345698 38636352 40112046 40856832 41492736 41654817 41856048 43883264 44261568 44950464 45963936 47088054 49368672 49794264 51515136 51959232 53482728 55539756 55808064 57954528 59015424 59933952 60168069 61285248 62784072 65824896 66392352 67425696 69278976 71310304 74053008 74410752 74691396 77272704 80224092 83309634 83712096 88523136 89900928 91927872 94176108 98737344 99588528 103918464 106965456 111079512 111616128 115909056 120336138 122570496 125568144 131649792 132784704 134851392 142620608 148106016 149382792 154545408 160448184 166619268 167424192 177046272 179801856 180504207 183855744 188352216 197474688 199177056 207836928 213930912 222159024 223232256 231818112 240672276 251136288 265569408 269702784 285241216 296212032 298765584 320896368 333238536 334848384 361008414 367711488 376704432 394949376 398354112 427861824 444318048 463636224 481344552 502272576 531138816 539405568 541512621 570482432 592424064 597531168 641792736 666477072 669696768 722016828 753408864 796708224 855723648 888636096 962689104 1004545152 1083025242 1184848128 1195062336 1283585472 1332954144 1444033656 1506817728 1593416448 1711447296 1777272192 1925378208 2009090304 2166050484 2390124672 2567170944 2665908288 2888067312 3013635456 3554544384 3850756416 4332100968 4780249344 5134341888 5331816576 5776134624 6027270912 7701512832 8664201936 10663633152 11552269248 15403025664 17328403872 23104538496 34656807744 46209076992 69313615488 138627230976
- Sum of all divisors σ(n): 483729442560
- Sum of proper divisors (its aliquot sum) s(n): 345102211584
- 138627230976 is an abundant number, because the sum of its proper divisors (345102211584) is greater than itself. Its abundance is 206474980608
Bases of 138627230976
- Binary: 100000010001101101001110101101000000002
- Hexadecimal: 0x2046D3AD00
- Base-36: 1RON2O00
Squares and roots of 138627230976
- 138627230976 squared (1386272309762) is 19217509168073253912576
- 138627230976 cubed (1386272309763) is 2664070082225888575026568863154176
-
The
square root of 138627230976 is 372326.7798265389 -
The
cube root of 138627230976 is 5175.4666709587
Scales and comparisons
How big is 138627230976?- 138,627,230,976 seconds is equal to 4,407 years, 47 weeks, 4 days, 20 hours, 9 minutes, 36 seconds.
-
To count from 1 to 138,627,230,976 would take you about eight thousand, eight hundred fifteen 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 138627230976 cubic inches would be around 431.3 feet tall.
Recreational maths with 138627230976
- 138627230976 backwards is 679032726831
- 138627230976 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138627230976's digits is 54
- More coming soon!
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The information we have on file for 138627230976 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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