138253359136736480

Names of 138253359136736480

• Cardinal: 138253359136736480 can be written as One hundred thirty-eight quadrillion, two hundred fifty-three trillion, three hundred fifty-nine billion, one hundred thirty-six million, seven hundred thirty-six thousand, four hundred eighty.

Scientific notation

• Scientific notation: 1.3825335913673648 × 10¹⁷

Factors of 138253359136736480

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 501

Divisors of 138253359136736480

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 53 56 65 70 80 91 98 104 106 112 130 140 160 182 196 208 212 224 245 260 265 280 343 364 371 392 416 421 424 455 490 520 530 560 637 686 689 728 742 784 842 848 910 980 1040 1060 1120 1274 1372 1378 1456 1484 1568 1684 1696 1715 1820 1855 1960 2080 2105 2120 2401 2548 2597 2744 2756 2912 2947 2968 3185 3368 3430 3445 3640 3710 3920 4210 4240 4459 4802 4823 5096 5194 5473 5488 5512 5894 5936 6370 6736 6860 6890 7280 7420 7840 8420 8480 8918 9604 9646 10192 10388 10946 10976 11024 11788 11872 12005 12740 12985 13472 13720 13780 14560 14735 14840 16807 16840 17836 18179 19208 19292 20384 20629 20776 21892 22048 22295 22313 23576 24010 24115 25480 25970 27365 27440 27560 29470 29680 31213 33614 33680 33761 35672 36358 38311 38416 38584 41258 41552 43784 44590 44626 47152 48020 48230 50960 51940 54730 54880 55120 58940 59360 62426 67228 67360 67522 71344 72716 76622 76832 77168 82516 83104 84035 87568 89180 89252 90895 94304 96040 96460 101920 103145 103880 109460 110240 111565 117880 124852 127253 134456 135044 142688 144403 145432 153244 154336 156065 156191 165032 168070 168805 175136 177241 178360 178504 181790 191555 192080 192920 206290 207760 218491 218920 223130 235760 236327 249704 254506 268177 268912 270088 288806 290069 290864 306488 312130 312382 330064 336140 337610 354482 356720 357008 363580 383110 384160 385840 412580 415520 436982 437840 446260 471520 472654 499408 509012 536354 537824 540176 577612 580138 581728 612976 624260 624764 636265 660128 672280 675220 708964 713440 714016 722015 727160 766220 771680 780955 825160 873964 875680 886205 890771 892520 945308 998816 1010821 1018024 1072708 1080352 1092455 1093337 1155224 1160276 1181635 1225952 1240687 1248520 1249528 1272530 1340885 1344560 1350440 1417928 1444030 1450345 1454320 1532440 1561910 1650320 1654289 1747928 1772410 1781542 1785040 1877239 1890616 2021642 2030483 2036048 2145416 2184910 2186674 2304133 2310448 2320552 2363270 2481374 2497040 2499056 2545060 2681770 2689120 2700880 2835856 2888060 2900690 2908640 3064880 3123820 3300640 3308578 3495856 3544820 3563084 3570080 3754478 3781232 4043284 4060966 4072096 4290832 4369820 4373348 4453855 4608266 4620896 4641104 4726540 4962748 4994080 4998112 5054105 5090120 5363540 5401760 5466685 5671712 5776120 5801380 6129760 6203435 6247640 6617156 6991712 7075747 7089640 7126168 7508956 7562464 7653359 8086568 8121932 8271445 8581664 8684809 8739640 8746696 8907710 9216532 9282208 9386195 9393773 9453080 9925496 10108210 10152415 10180240 10727080 10933370 11520665 11552240 11580023 11602760 12406870 12495280 13140673 13234312 14151494 14179280 14213381 14252336 15017912 15306718 16128931 16173136 16243864 16542890 17369618 17479280 17493392 17815420 18433064 18772390 18787546 18906160 19850992 20216420 20304830 20360480 21454160 21866740 23041330 23104480 23160046 23205520 24813740 24990560 26281346 26468624 28302988 28358560 28426762 28504672 30035824 30613436 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3098045066480 3100546291472 3157622856220 3327237175990 3350946704560 3583178497220 3598848374030 3608711835680 3802556772560 3875682864340 4095061139680 4104909713086 4112969570320 4429351844960 4658132046386 4691325386384 5016449896108 5038387723642 5052196569952 5323579481584 5425956010076 5733085595552 5758157398448 5864156732980 6196090132960 6201092582944 6270562370135 6315245712440 6654474351980 6701893409120 6782445012595 7166356994440 7197696748060 7605113545120 7751365728680 8209819426172 8225939140640 9316264092772 9382650772768 9495423017633 10032899792216 10076775447284 10262274282715 10647158963168 10851912020152 11516314796896 11645330115965 11728313465960 12541124740270 12595969309105 12630491424880 13308948703960 13564890025190 14332713988880 14395393496120 15502731457360 16303462162351 16419638852344 17634357032747 18632528185544 18990846035266 20065799584432 20153550894568 20524548565430 21703824040304 23290660231930 23456626931920 25082249480540 25191938618210 25260982849760 26617897407920 27129780050380 28665427977760 28790786992240 31005462914720 32606924324702 32839277704688 35268714065494 37265056371088 37981692070532 40131599168864 40307101789136 41049097130860 43407648080608 46581320463860 46913253863840 47477115088165 50164498961080 50383877236420 53235794815840 54259560100760 57581573984480 65213848649404 65678555409376 66467961123431 70537428130988 74530112742176 75963384141064 80614203578272 81517310811755 82098194261720 88171785163735 93162640927720 94954230176330 100328997922160 100767754472840 108519120201520 123440499229229 130427697298808 132935922246862 141074856261976 151926768282128 163034621623510 164196388523440 176343570327470 186325281855440 189908460352660 200657995844320 201535508945680 217038240403040 246880998458458 260855394597616 265871844493724 282149712523952 303853536564256 326069243247020 328392777046880 332339805617155 352687140654940 372650563710880 379816920705320 403071017891360 493761996916916 521710789195232 531743688987448 564299425047904 617202496146145 652138486494040 664679611234310 705374281309880 759633841410640 864083494604603 987523993833832 1063487377974896 1234404992292290 1304276972988080 1329359222468620 1410748562619760 1519267682821280 1728166989209206 1975047987667664 2126974755949792 2468809984584580 2608553945976160 2658718444937240 2821497125239520 3456333978418412 3950095975335328 4320417473023015 4937619969169160 5317436889874480 6912667956836824 8640834946046030 9875239938338320 10634873779748960 13825335913673648 17281669892092060 19750479876676640 27650671827347296 34563339784184120 69126679568368240 138253359136736480
• Sum of all divisors σ(n): 419108034469453056
• Sum of proper divisors (its aliquot sum) s(n): 280854675332716576
• 138253359136736480 is an abundant number, because the sum of its proper divisors (280854675332716576) is greater than itself. Its abundance is 142601316195980096

Bases of 138253359136736480

• Binary: 111101011001011001011001010011000010110011000010011100000₂
• Hexadecimal: 0x1EB2CB2985984E0
• Base-36: 11TAQ4DU27KW

Squares and roots of 138253359136736480

• 138253359136736480 squared (138253359136736480²) is 19113991312591436334369504962790400
• 138253359136736480 cubed (138253359136736480³) is 2642573505476164958695563890778731940908090273792000
• The square root of 138253359136736480 is 371824365.9804134999
• The cube root of 138253359136736480 is 517080.9809667641

Scales and comparisons

• 138,253,359,136,736,480 seconds is equal to 4,396,029,174 years, 43 weeks, 1 day, 3 hours, 41 minutes, 20 seconds.
• To count from 1 to 138,253,359,136,736,480 would take you about thirteen billion, one hundred eighty-eight million, eighty-seven thousand, five hundred twenty-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 138253359136736480 cubic inches would be around 43090.1 feet tall.

Recreational maths with 138253359136736480

• 138253359136736480 backwards is 084637631953352831
• The number of decimal digits it has is: 18
• The sum of 138253359136736480's digits is 77
• More coming soon!