138093531607872

Names of 138093531607872

• Cardinal: 138093531607872 can be written as One hundred thirty-eight trillion, ninety-three billion, five hundred thirty-one million, six hundred seven thousand, eight hundred seventy-two.

Scientific notation

• Scientific notation: 1.38093531607872 × 10¹⁴

Factors of 138093531607872

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 105

Divisors of 138093531607872

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 53 54 64 72 81 94 96 106 108 141 144 159 162 188 192 212 216 243 282 288 318 324 376 423 424 432 477 486 564 576 636 648 729 752 846 848 864 954 972 1128 1269 1272 1296 1431 1458 1504 1692 1696 1728 1908 1944 2187 2209 2256 2491 2538 2544 2592 2809 2862 2916 3008 3384 3392 3807 3816 3888 4293 4374 4418 4512 4982 5076 5088 5184 5618 5724 5832 6561 6627 6768 7473 7614 7632 7776 8427 8586 8748 8836 9024 9964 10152 10176 11236 11421 11448 11664 12879 13122 13254 13536 14946 15228 15264 15552 16854 17172 17496 17672 19881 19928 20304 22419 22472 22842 22896 23328 25281 25758 26244 26508 27072 29892 30456 30528 33708 34263 34344 34992 35344 38637 39762 39856 40608 44838 44944 45684 45792 46656 50562 51516 52488 53016 59643 59784 60912 67257 67416 68526 68688 69984 70688 75843 77274 79524 79712 81216 89676 89888 91368 91584 101124 102789 103032 104976 106032 115911 117077 119286 119568 121824 132023 134514 134832 137052 137376 139968 141376 148877 151686 154548 159048 159424 178929 179352 179776 182736 201771 202248 205578 206064 209952 212064 227529 231822 234154 238572 239136 243648 264046 269028 269664 274104 274752 297754 303372 308367 309096 318096 347733 351231 357858 358704 365472 396069 403542 404496 411156 412128 419904 424128 446631 455058 463644 468308 477144 478272 528092 536787 538056 539328 548208 595508 605313 606744 616734 618192 636192 682587 695466 702462 715716 717408 730944 792138 807084 808992 822312 824256 893262 910116 927288 936616 954288 1053693 1056184 1073574 1076112 1096416 1188207 1191016 1210626 1213488 1233468 1236384 1272384 1339893 1365174 1390932 1404924 1431432 1434816 1584276 1610361 1614168 1617984 1644624 1786524 1815939 1820232 1854576 1873232 1908576 2047761 2107386 2112368 2147148 2152224 2192832 2376414 2382032 2421252 2426976 2466936 2472768 2679786 2730348 2781864 2809848 2862864 3161079 3168552 3220722 3228336 3289248 3564621 3573048 3631878 3640464 3709152 3746464 3817152 4019679 4095522 4214772 4224736 4294296 4304448 4752828 4764064 4831083 4842504 4853952 4933872 5359572 5447817 5460696 5563728 5619696 5725728 6143283 6205081 6322158 6337104 6441444 6456672 6578496 6997219 7129242 7146096 7263756 7280928 7418304 7492928 8039358 8191044 8429544 8449472 8588592 9483237 9505656 9528128 9662166 9685008 9867744 10693863 10719144 10895634 10921392 11127456 11239392 11451456 12059037 12286566 12410162 12644316 12674208 12882888 12913344 13994438 14258484 14292192 14493249 14527512 14561856 16078716 16343451 16382088 16859088 17177184 18429849 18615243 18966474 19011312 19324332 19370016 19735488 20991657 21387726 21438288 21791268 21842784 22254912 22478784 24118074 24573132 24820324 25288632 25348416 25765776 27988876 28449711 28516968 28584384 28986498 29055024 32081589 32157432 32686902 32764176 33718176 34354368 36177111 36859698 37230486 37932948 38022624 38648664 38740032 41983314 42775452 42876576 43582536 43685568 48236148 49146264 49640648 50577264 51531552 55845729 55977752 56899422 57033936 57972996 58110048 62974971 64163178 64314864 65373804 65528352 67436352 72354222 73719396 74460972 75865896 76045248 77297328 83966628 85349133 85550904 85753152 87165072 96244767 96472296 98292528 99281296 101154528 103063104 108531333 111691458 111955504 113798844 114067872 115945992 116220096 125949942 128326356 128629728 130747608 131056704 144708444 147438792 148921944 151731792 154594656 167537187 167933256 170698266 171101808 174330144 188924913 192489534 192944592 196585056 198562592 202309056 217062666 223382916 223911008 227597688 228135744 231891984 251899884 256047399 256652712 257259456 261495216 288734301 289416888 294877584 297843888 303463584 309189312 325593999 328869293 335074374 335866512 341396532 342203616 348660288 377849826 384979068 385889184 393170112 397125184 434125332 446765832 447822016 455195376 463783968 502611561 503799768 512094798 513305424 522990432 566774739 577468602 578833776 589755168 595687776 606927168 651187998 657738586 670148748 671733024 682793064 684407232 755699652 768142197 769958136 771778368 866202903 868250664 893531664 910390752 927567936 976781997 986607879 1005223122 1007599536 1024189596 1026610848 1045980864 1133549478 1154937204 1157667552 1179510336 1191375552 1302375996 1315477172 1340297496 1343466048 1365586128 1507834683 1511399304 1536284394 1539916272 1700324217 1732405806 1736501328 1787063328 1820781504 1953563994 1973215758 2010446244 2015199072 2048379192 2053221696 2267098956 2309874408 2315335104 2604751992 2630954344 2680594992 2731172256 2959823637 3015669366 3022798608 3072568788 3079832544 3400648434 3464811612 3473002656 3574126656 3907127988 3946431516 4020892488 4030398144 4096758384 4523504049 4534197912 4619748816 5100972651 5209503984 5261908688 5361189984 5462344512 5919647274 6031338732 6045597216 6145137576 6159665088 6801296868 6929623224 6946005312 7814255976 7892863032 8041784976 8193516768 8879470911 9047008098 9068395824 9239497632 10201945302 10419007968 10523817376 10722379968 11839294548 12062677464 12091194432 12290275152 13570512147 13602593736 13859246448 15302917953 15628511952 15785726064 16083569952 16387033536 17758941822 18094016196 18136791648 18478995264 20403890604 20838015936 21047634752 23678589096 24125354928 24580550304 26638412733 27141024294 27205187472 27718492896 30605835906 31257023904 31571452128 32167139904 35517883644 36188032392 36273583296 40711536441 40807781208 45908753859 47357178192 48250709856 49161100608 53276825466 54282048588 54410374944 55436985792 61211671812 62514047808 63142904256 71035767288 72376064784 79915238199 81423072882 81615562416 91817507718 94714356384 96501419712 106553650932 108564097176 108820749888 122423343624 142071534576 144752129568 159830476398 162846145764 163231124832 183635015436 189428712768 213107301864 217128194352 239745714597 244846687248 284143069152 289504259136 319660952796 325692291528 326462249664 367270030872 426214603728 434256388704 479491429194 489693374496 568286138304 639321905592 651384583056 719237143791 734540061744 852429207456 868512777408 958982858388 979386748992 1278643811184 1302769166112 1438474287582 1469080123488 1704858414912 1917965716776 2157711431373 2557287622368 2605538332224 2876948575164 2938160246976 3835931433552 4315422862746 5114575244736 5753897150328 7671862867104 8630845725492 11507794300656 15343725734208 17261691450984 23015588601312 34523382901968 46031177202624 69046765803936 138093531607872
• Sum of all divisors σ(n): 428030376904260
• Sum of proper divisors (its aliquot sum) s(n): 289936845296388
• 138093531607872 is an abundant number, because the sum of its proper divisors (289936845296388) is greater than itself. Its abundance is 151843313688516

Bases of 138093531607872

• Binary: 11111011001100001100111111001011011001101000000₂
• Hexadecimal: 0x7D9867E5B340
• Base-36: 1CY7AJ9000

Squares and roots of 138093531607872

• 138093531607872 squared (138093531607872²) is 19069823471934343121572368384
• 138093531607872 cubed (138093531607872³) is 2633419270378104575355163644175762618318848
• The square root of 138093531607872 is 11751320.4197601557
• The cube root of 138093531607872 is 51688.1647310733

Scales and comparisons

• 138,093,531,607,872 seconds is equal to 4,390,947 years, 7 weeks, 6 days, 23 hours, 31 minutes, 12 seconds.
• To count from 1 to 138,093,531,607,872 would take you about ten million, nine hundred seventy-seven thousand, three hundred sixty-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 138093531607872 cubic inches would be around 4307.3 feet tall.

Recreational maths with 138093531607872

• 138093531607872 backwards is 278706135390831
• The number of decimal digits it has is: 15
• The sum of 138093531607872's digits is 63
• More coming soon!