138980237324544

Names of 138980237324544

• Cardinal: 138980237324544 can be written as One hundred thirty-eight trillion, nine hundred eighty billion, two hundred thirty-seven million, three hundred twenty-four thousand, five hundred forty-four.

Scientific notation

• Scientific notation: 1.38980237324544 × 10¹⁴

Factors of 138980237324544

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 210617

Divisors of 138980237324544

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 61 63 64 66 72 77 84 88 96 99 112 122 126 128 132 144 154 168 176 183 192 198 224 231 244 252 256 264 288 308 336 352 366 384 396 427 448 462 488 504 528 549 576 616 671 672 693 704 732 768 792 854 896 924 976 1008 1056 1098 1152 1232 1281 1342 1344 1386 1408 1464 1584 1708 1792 1848 1952 2013 2016 2112 2196 2304 2464 2562 2684 2688 2772 2816 2928 3168 3416 3696 3721 3843 3904 4026 4032 4224 4392 4697 4928 5124 5368 5376 5544 5856 6039 6336 6832 7392 7442 7686 7808 8052 8064 8448 8784 9394 9856 10248 10736 11088 11163 11712 12078 12672 13664 14091 14784 14884 15372 15616 16104 16128 17568 18788 19712 20496 21472 22176 22326 23424 24156 25344 26047 27328 28182 29568 29768 30744 32208 33489 35136 37576 40931 40992 42273 42944 44352 44652 46848 48312 52094 54656 56364 59136 59536 61488 64416 66978 70272 75152 78141 81862 81984 84546 85888 88704 89304 96624 104188 109312 112728 119072 122793 122976 128832 133956 140544 150304 156282 163724 163968 169092 171776 177408 178608 193248 208376 210533 225456 234423 238144 245586 245952 257664 267912 286517 300608 312564 327448 327936 338184 357216 368379 386496 416752 421066 450912 468846 476288 491172 491904 515328 535824 573034 601216 625128 631599 654896 676368 714432 736758 772992 833504 842132 859551 901824 937692 952576 982344 983808 1071648 1146068 1202432 1250256 1263198 1309792 1352736 1428864 1473516 1473731 1545984 1667008 1684264 1719102 1803648 1875384 1894797 1964688 2143296 2292136 2315863 2500512 2526396 2578653 2619584 2705472 2857728 2947032 2947462 3334016 3368528 3438204 3607296 3750768 3789594 3929376 4286592 4421193 4584272 4631726 5001024 5052792 5157306 5239168 5410944 5894064 5894924 6668032 6737056 6876408 6947589 7501536 7579188 7858752 8573184 8842386 9168544 9263452 10002048 10105584 10314612 10478336 10821888 11788128 11789848 12842513 13263579 13474112 13752816 13895178 15003072 15158376 15717504 16211041 17684772 18337088 18526904 20004096 20211168 20629224 20842767 23576256 23579696 25685026 26527158 26948224 27505632 27790356 30006144 30316752 31435008 32422082 35369544 36674176 37053808 38527539 40422336 41258448 41685534 47152512 47159392 48633123 51370052 53054316 53896448 55011264 55580712 60012288 60633504 64844164 70739088 73348352 74107616 77055078 80844672 82516896 83371068 89897591 94305024 94318784 97266246 102740104 106108632 110022528 111161424 115582617 121267008 129688328 141267643 141478176 145899369 148215232 154110156 161689344 165033792 166742136 179795182 188637568 194532492 205480208 212217264 220045056 222322848 231165234 242534016 259376656 269692773 282535286 282956352 291798738 296430464 308220312 330067584 333484272 359590364 377275136 389064984 410960416 423802929 424434528 444645696 462330468 485068032 518753312 539385546 565070572 565912704 583597476 592860928 616440624 660135168 666968544 719180728 778129968 783393293 809078319 821920832 847605858 848869056 889291392 924660936 988873501 1037506624 1078771092 1130141144 1131825408 1167194952 1232881248 1271408787 1333937088 1438361456 1556259936 1566786586 1618156638 1643841664 1695211716 1697738112 1778582784 1849321872 1977747002 2075013248 2157542184 2260282288 2334389904 2350179879 2465762496 2542817574 2667874176 2876722912 2966620503 3112519872 3133573172 3236313276 3287683328 3390423432 3395476224 3698643744 3955494004 4150026496 4315084368 4520564576 4668779808 4700359758 4931524992 5085635148 5335748352 5483753051 5753445824 5933241006 6225039744 6267146344 6472626552 6780846864 7050539637 7397287488 7910988008 8617326223 8630168736 8899861509 9041129152 9337559616 9400719516 9863049984 10171270296 10967506102 11506891648 11866482012 12450079488 12534292688 12945253104 13561693728 14101079274 14794574976 15821976016 16451259153 17234652446 17260337472 17799723018 18082258304 18675119232 18801439032 20342540592 21935012204 23013783296 23732964024 25068585376 25851978669 25890506208 27123387456 28202158548 29589149952 31643952032 32902518306 34469304892 34520674944 35599446036 36164516608 37350238464 37602878064 40685081184 43870024408 47465928048 49353777459 50137170752 51703957338 51781012416 54246774912 56404317096 60321283561 63287904064 65805036612 68938609784 69041349888 71198892072 75205756128 77555936007 81370162368 87740048816 94931856096 98707554918 100274341504 103407914676 103562024832 108493549824 112808634192 120642567122 126575808128 131610073224 137877219568 142397784144 150411512256 155111872014 162740324736 175480097632 180963850683 189863712192 197415109836 200548683008 206815829352 207124049664 225617268384 241285134244 253151616256 263220146448 275754439136 284795568288 300823024512 310223744028 325480649472 350960195264 361927701366 379727424384 394830219672 413631658704 451234536768 482570268488 526440292896 542891552049 551508878272 569591136576 601646049024 620447488056 701920390528 723855402732 759454848768 789660439344 827263317408 902469073536 965140536976 1052880585792 1085783104098 1103017756544 1139182273152 1240894976112 1403840781056 1447710805464 1579320878688 1654526634816 1804938147072 1930281073952 2105761171584 2171566208196 2206035513088 2278364546304 2481789952224 2895421610928 3158641757376 3309053269632 3860562147904 4211522343168 4343132416392 4963579904448 5790843221856 6317283514752 6618106539264 7721124295808 8686264832784 9927159808896 11581686443712 12634567029504 15442248591616 17372529665568 19854319617792 23163372887424 34745059331136 46326745774848 69490118662272 138980237324544
• Sum of all divisors σ(n): 507918543402816
• Sum of proper divisors (its aliquot sum) s(n): 368938306078272
• 138980237324544 is an abundant number, because the sum of its proper divisors (368938306078272) is greater than itself. Its abundance is 229958068753728

Bases of 138980237324544

• Binary: 11111100110011011011011101011010011000100000000₂
• Hexadecimal: 0x7E66DBAD3100
• Base-36: 1D9IN0XTS0

Squares and roots of 138980237324544

• 138980237324544 squared (138980237324544²) is 19315506366786573179184807936
• 138980237324544 cubed (138980237324544³) is 2684473658899738567163329679610115138781184
• The square root of 138980237324544 is 11788987.9686317435
• The cube root of 138980237324544 is 51798.5595774909

Scales and comparisons

• 138,980,237,324,544 seconds is equal to 4,419,141 years, 33 weeks, 6 days, 15 hours, 2 minutes, 24 seconds.
• To count from 1 to 138,980,237,324,544 would take you about eleven million, forty-seven thousand, eight hundred fifty-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 138980237324544 cubic inches would be around 4316.5 feet tall.

Recreational maths with 138980237324544

• 138980237324544 backwards is 445423732089831
• 138980237324544 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138980237324544's digits is 63
• More coming soon!