138461524253064320

Names of 138461524253064320

• Cardinal: 138461524253064320 can be written as One hundred thirty-eight quadrillion, four hundred sixty-one trillion, five hundred twenty-four billion, two hundred fifty-three million, sixty-four thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.3846152425306432 × 10¹⁷

Factors of 138461524253064320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 2004

Divisors of 138461524253064320

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 64 70 77 80 88 98 110 112 121 128 140 154 160 176 196 220 224 242 245 280 308 320 343 352 385 392 440 448 484 490 539 560 605 616 640 686 704 770 784 847 880 896 968 980 1078 1120 1210 1232 1331 1372 1408 1540 1568 1694 1715 1760 1936 1960 1979 2156 2240 2420 2464 2662 2695 2744 3080 3136 3388 3430 3520 3773 3872 3920 3958 4235 4312 4480 4840 4928 5324 5390 5488 5929 6160 6272 6655 6776 6860 7040 7546 7744 7840 7916 8470 8624 9317 9680 9856 9895 10648 10780 10976 11858 12320 13310 13552 13720 13853 14641 15092 15488 15680 15832 16940 17248 18634 18865 19360 19790 21296 21560 21769 21952 23716 24640 26620 27104 27440 27706 29282 29645 30184 31360 31664 33880 34496 37268 37730 38720 39580 41503 42592 43120 43538 43904 46585 47432 49280 53240 54208 54880 55412 58564 59290 60368 63328 65219 67760 68992 69265 73205 74536 75460 77440 79160 83006 85184 86240 87076 93170 94864 96971 102487 106480 108416 108845 109760 110824 117128 118580 120736 126656 130438 135520 138530 146410 149072 150920 152383 158320 161051 166012 170368 172480 174152 186340 189728 193942 204974 207515 212960 217690 219520 221648 234256 237160 239459 241472 253312 260876 271040 277060 292820 298144 301840 304766 316640 322102 326095 332024 344960 348304 372680 379456 387884 409948 415030 425920 435380 443296 456533 468512 474320 478918 482944 484855 512435 521752 542080 554120 585640 596288 603680 609532 633280 644204 652190 664048 678797 696608 717409 745360 758912 761915 775768 805255 819896 830060 851840 870760 886592 913066 937024 948640 957836 969710 1024870 1043504 1066681 1108240 1127357 1171280 1192576 1197295 1207360 1219064 1266560 1288408 1304380 1328096 1357594 1393216 1434818 1490720 1523830 1551536 1610510 1639792 1660120 1676213 1741520 1773184 1826132 1874048 1897280 1915672 1939420 2049740 2087008 2133362 2216480 2254714 2282665 2342560 2394590 2414720 2438128 2576816 2608760 2634049 2656192 2715188 2786432 2869636 2981440 3047660 3103072 3221020 3279584 3320240 3352426 3393985 3483040 3587045 3652264 3794560 3831344 3878840 3916441 4099480 4174016 4266724 4432960 4509428 4565330 4685120 4789180 4876256 5021863 5153632 5217520 5268098 5312384 5333405 5430376 5636785 5739272 5962880 6095320 6206144 6442040 6559168 6640480 6704852 6787970 6966080 7174090 7304528 7466767 7662688 7757680 7832882 7891499 8198960 8348032 8381065 8533448 8865920 9018856 9130660 9370240 9578360 9752512 10043726 10307264 10435040 10536196 10666810 10860752 11273570 11478544 11733491 12190640 12412288 12884080 13118336 13170245 13280960 13409704 13575940 13932160 14348180 14609056 14933534 15325376 15515360 15665764 15782998 16397920 16762130 17066896 18037712 18261320 18438343 19156720 19505024 19582205 20087452 20614528 20870080 21072392 21333620 21721504 22547140 22957088 23466982 24381280 25109315 25768160 26340490 26561920 26819408 27151880 27415087 28696360 28974539 29218112 29867068 30650752 31030720 31331528 31565996 32795840 33524260 34133792 36075424 36522640 36876686 37333835 38313440 39164410 39457495 40174904 41740160 42144784 42667240 43080851 43443008 45094280 45914176 46933964 48762560 50218630 51536320 52680980 53638816 54303760 54830174 55240493 57392720 57949078 58436224 58667455 59734136 62061440 62663056 63131992 65591680 67048520 68267584 72150848 73045280 73753372 74667670 76626880 78328820 78914990 80349808 82134437 84289568 85334480 86161702 86886016 90188560 91828352 92191715 93867928 97525120 100437260 103072640 105361960 107277632 108607520 109660348 110480986 114785440 115898156 117334910 119468272 125326112 126263984 129068401 134097040 136535168 137075435 144301696 144872695 146090560 147506744 149335340 153253760 156657640 157829980 160699616 164268874 168579136 170668960 172323404 180377120 184383430 187735856 191905609 200874520 202821773 210723920 214555264 215404255 217215040 219320696 220961972 229570880 231796312 234669820 238936544 250652224 252527968 258136802 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25229869579640 25688594481088 26007048131680 28096900213690 28607752944848 30906590235059 32110743101360 32694574794112 34982699407040 35321817411496 35759691181060 36697992115840 39335660299166 40367791327424 40868218492640 44152271764370 44955040341904 50459739159280 51377188962176 52014096263360 56193800427380 57215505889696 61813180470118 64221486202720 69965398814080 70643634822992 71519382362120 78671320598332 80735582654848 81736436985280 88304543528740 89910080683808 98339150747915 100919478318560 104028192526720 112387600854760 114431011779392 123626360940236 128442972405440 141287269645984 143038764724240 154532951175295 157342641196664 163472873970560 176609087057480 179820161367616 196678301495830 201838956637120 216346131645413 224775201709520 228862023558784 247252721880472 256885944810880 282574539291968 286077529448480 309065902350590 314685282393328 353218174114960 359640322735232 393356602991660 403677913274240 432692263290826 449550403419040 494505443760944 565149078583936 572155058896960 618131804701180 629370564786656 706436348229920 786713205983320 865384526581652 899100806838080 989010887521888 1081730658227065 1144310117793920 1236263609402360 1258741129573312 1412872696459840 1573426411966640 1730769053163304 1798201613676160 1978021775043776 2163461316454130 2472527218804720 2517482259146624 2825745392919680 3146852823933280 3461538106326608 3956043550087552 4326922632908260 4945054437609440 6293705647866560 6923076212653216 8653845265816520 9890108875218880 12587411295733120 13846152425306432 17307690531633040 19780217750437760 27692304850612864 34615381063266080 69230762126532160 138461524253064320
• Sum of all divisors σ(n): 424833135893712000
• Sum of proper divisors (its aliquot sum) s(n): 286371611640647680
• 138461524253064320 is an abundant number, because the sum of its proper divisors (286371611640647680) is greater than itself. Its abundance is 147910087387583360

Bases of 138461524253064320

• Binary: 111101011111010100000010111010000001010011011110010000000₂
• Hexadecimal: 0x1EBEA05D029BC80
• Base-36: 11VCII49NQ0W

Squares and roots of 138461524253064320

• 138461524253064320 squared (138461524253064320²) is 19171593698481918898488910057062400
• 138461524253064320 cubed (138461524253064320³) is 2654528085852249299751787621941031918229257453568000
• The square root of 138461524253064320 is 372104184.6755614223
• The cube root of 138461524253064320 is 517340.3700707389

Scales and comparisons

• 138,461,524,253,064,320 seconds is equal to 4,402,648,181 years, 32 weeks, 6 days, 4 hours, 5 minutes, 20 seconds.
• To count from 1 to 138,461,524,253,064,320 would take you about thirteen billion, two hundred seven million, nine hundred forty-four thousand, five hundred forty-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 138461524253064320 cubic inches would be around 43111.7 feet tall.

Recreational maths with 138461524253064320

• 138461524253064320 backwards is 023460352425164831
• The number of decimal digits it has is: 18
• The sum of 138461524253064320's digits is 59
• More coming soon!