138229518264768

Names of 138229518264768

• Cardinal: 138229518264768 can be written as One hundred thirty-eight trillion, two hundred twenty-nine billion, five hundred eighteen million, two hundred sixty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38229518264768 × 10¹⁴

Factors of 138229518264768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2951

Divisors of 138229518264768

• Number of divisors d(n): 588
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 144 147 162 168 189 192 196 216 224 243 252 288 294 324 336 343 378 392 432 441 448 486 504 567 576 588 648 672 686 729 756 784 864 882 972 1008 1029 1134 1176 1296 1323 1344 1372 1458 1512 1568 1701 1728 1764 1944 2016 2058 2268 2352 2592 2646 2744 2916 2939 3024 3087 3136 3402 3528 3888 3969 4032 4116 4536 4704 5103 5184 5292 5488 5832 5878 6048 6174 6804 7056 7776 7938 8232 8817 9072 9261 9408 10206 10584 10976 11664 11756 11907 12096 12348 13608 14112 15552 15876 16464 17634 18144 18522 20412 20573 21168 21952 23328 23512 23814 24696 26451 27216 27783 28224 31752 32928 35268 35721 36288 37044 40824 41146 42336 46656 47024 47628 49392 52902 54432 55566 61719 63504 65856 70536 71442 74088 79353 81648 82292 83349 84672 94048 95256 98784 105804 108864 111132 123438 127008 141072 142884 144011 148176 158706 163296 164584 166698 185157 188096 190512 197568 211608 222264 238059 246876 250047 254016 282144 285768 288022 296352 317412 326592 329168 333396 370314 381024 423216 432033 444528 476118 493752 500094 555471 564288 571536 576044 592704 634824 658336 666792 714177 740628 762048 846432 864066 889056 952236 987504 1000188 1008077 1110942 1143072 1152088 1269648 1296099 1316672 1333584 1428354 1481256 1666413 1692864 1728132 1778112 1904472 1975008 2000376 2016154 2142531 2221884 2286144 2304176 2539296 2592198 2667168 2856708 2962512 3024231 3332826 3456264 3808944 3888297 3950016 4000752 4032308 4285062 4443768 4608352 4999239 5078592 5184396 5334336 5713416 5925024 6048462 6665652 6912528 7617888 7776594 8001504 8064616 8570124 8637721 8887536 9072693 9216704 9998478 10368792 11426832 11664891 11850048 12096924 13331304 13825056 14997717 15235776 15553188 16003008 16129232 17140248 17275442 17775072 18145386 19996956 20737584 22853664 23329782 24193848 25913163 26662608 27218079 27650112 29995434 31106376 32258464 34280496 34550884 34994673 35550144 36290772 39993912 41475168 45707328 46659564 48387696 51826326 53325216 54436158 59990868 60464047 62212752 64516928 68560992 69101768 69989346 72581544 77739489 79987824 81654237 82950336 93319128 96775392 103652652 104984019 106650432 108872316 119981736 120928094 124425504 137121984 138203536 139978692 145163088 155478978 159975648 163308474 181392141 186638256 193550784 207305304 209968038 217744632 233218467 239963472 241856188 244962711 248851008 276407072 279957384 290326176 310957956 319951296 326616948 362784282 373276512 414610608 419936076 423248329 435489264 466436934 479926944 483712376 489925422 544176423 552814144 559914768 580652352 621915912 653233896 699655401 725568564 734888133 746553024 829221216 839872152 846496658 870978528 932873868 959853888 967424752 979850844 1088352846 1119829536 1243831824 1269744987 1306467792 1399310802 1451137128 1469776266 1632529269 1658442432 1679744304 1692993316 1741957056 1865747736 1934849504 1959701688 2098966203 2176705692 2239659072 2487663648 2539489974 2612935584 2798621604 2902274256 2939552532 2962738303 3265058538 3359488608 3385986632 3731495472 3809234961 3869699008 3919403376 4197932406 4353411384 4897587807 4975327296 5078979948 5225871168 5597243208 5804548512 5879105064 5925476606 6296898609 6530117076 6718977216 6771973264 7462990944 7618469922 7838806752 8395864812 8706822768 8888214909 9795175614 10157959896 11194486416 11427704883 11609097024 11758210128 11850953212 12593797218 13060234152 13543946528 14692763421 14925981888 15236939844 15677613504 16791729624 17413645536 17776429818 19590351228 20315919792 22388972832 22855409766 23516420256 23701906424 25187594436 26120468304 26664644727 27087893056 29385526842 30473879688 33583459248 34283114649 34827291072 35552859636 39180702456 40631839584 44078290263 44777945664 45710819532 47032840512 47403812848 50375188872 52240936608 53329289454 58771053684 60947759376 67166918496 68566229298 71105719272 78361404912 79993934181 81263679168 88156580526 91421639064 94807625696 100750377744 102849343947 104481873216 106658578908 117542107368 121895518752 134333836992 137132458596 142211438544 156722809824 159987868362 176313161052 182843278128 189615251392 201500755488 205698687894 213317157816 235084214736 239981802543 243791037504 274264917192 284422877088 308548031841 313445619648 319975736724 352626322104 365686556256 403001510976 411397375788 426634315632 470168429472 479963605086 548529834384 568845754176 617096063682 639951473448 705252644208 719945407629 731373112512 822794751576 853268631264 940336858944 959927210172 1097059668768 1234192127364 1279902946896 1410505288416 1439890815258 1645589503152 1706537262528 1919854420344 2159836222887 2194119337536 2468384254728 2559805893792 2821010576832 2879781630516 3291179006304 3839708840688 4319672445774 4936768509456 5119611787584 5759563261032 6582358012608 7679417681376 8639344891548 9873537018912 11519126522064 15358835362752 17278689783096 19747074037824 23038253044128 34557379566192 46076506088256 69114759132384 138229518264768
• Sum of all divisors σ(n): 479767517628400
• Sum of proper divisors (its aliquot sum) s(n): 341537999363632
• 138229518264768 is an abundant number, because the sum of its proper divisors (341537999363632) is greater than itself. Its abundance is 203308481098864

Bases of 138229518264768

• Binary: 11111011011100000010001010101010110100111000000₂
• Hexadecimal: 0x7DB8115569C0
• Base-36: 1CZXRI7000

Squares and roots of 138229518264768

• 138229518264768 squared (138229518264768²) is 19107399719709830113750093824
• 138229518264768 cubed (138229518264768³) is 2641206658547852925473692941303681673592832
• The square root of 138229518264768 is 11757105.0120668735
• The cube root of 138229518264768 is 51705.1256866467

Scales and comparisons

• 138,229,518,264,768 seconds is equal to 4,395,271 years, 5 weeks, 4 days, 14 hours, 52 minutes, 48 seconds.
• To count from 1 to 138,229,518,264,768 would take you about ten million, nine hundred eighty-eight thousand, one hundred seventy-seven 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 138229518264768 cubic inches would be around 4308.8 feet tall.

Recreational maths with 138229518264768

• 138229518264768 backwards is 867462815922831
• 138229518264768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138229518264768's digits is 72
• More coming soon!