138727341465216

Names of 138727341465216

• Cardinal: 138727341465216 can be written as One hundred thirty-eight trillion, seven hundred twenty-seven billion, three hundred forty-one million, four hundred sixty-five thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.38727341465216 × 10¹⁴

Factors of 138727341465216

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 7054

Divisors of 138727341465216

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 37 42 48 49 56 62 64 74 84 93 96 98 111 112 124 128 147 148 168 186 192 196 217 222 224 248 259 294 296 336 372 384 392 434 444 448 496 518 588 592 651 672 744 777 784 868 888 896 992 1036 1093 1147 1176 1184 1302 1344 1488 1519 1554 1568 1736 1776 1813 1984 2072 2186 2294 2352 2368 2604 2688 2976 3038 3108 3136 3279 3441 3472 3552 3626 3968 4144 4372 4557 4588 4704 4736 5208 5439 5881 5952 6076 6216 6272 6558 6882 6944 7104 7252 7651 8029 8288 8744 9114 9176 9408 10416 10878 11762 11904 12152 12432 13116 13764 13888 14208 14504 15302 16058 16576 17488 17643 18228 18352 18816 20832 21756 22953 23524 24087 24304 24864 26232 27528 27776 29008 30604 32116 33152 33883 34976 35286 36456 36704 40441 41167 41664 43512 45906 47048 48174 48608 49728 52464 53557 55056 56203 58016 61208 64232 67766 69952 70572 72912 73408 80882 82334 83328 87024 91812 94096 96348 97216 99456 101649 104928 107114 110112 112406 116032 121323 122416 123501 128464 135532 139904 141144 145824 146816 160671 161764 164668 168609 174048 182311 183624 188192 192696 194432 203298 209856 214228 217597 220224 224812 232064 237181 242646 244832 247002 256928 271064 282288 283087 288169 291648 321342 323528 329336 337218 348096 364622 367248 376384 385392 406596 419712 428456 435194 440448 449624 474362 485292 489664 494004 513856 542128 546933 564576 566174 576338 583296 642684 647056 652791 658672 674436 696192 711543 729244 734496 752768 770784 813192 849261 856912 864507 870388 899248 948724 970584 979328 988008 1027712 1084256 1093866 1129152 1132348 1152676 1253671 1276177 1285368 1294112 1305582 1317344 1348872 1423086 1458488 1468992 1523179 1541568 1626384 1660267 1698522 1713824 1729014 1740776 1798496 1897448 1941168 1976016 1981609 2168512 2187732 2258304 2264696 2305352 2507342 2552354 2570736 2588224 2611164 2634688 2697744 2846172 2916976 2937984 3046358 3083136 3252768 3320534 3397044 3427648 3458028 3481552 3596992 3761013 3794896 3828531 3882336 3952032 3963218 4337024 4375464 4529392 4569537 4610704 4980801 5014684 5104708 5141472 5176448 5222328 5269376 5395488 5692344 5833952 5944827 6092716 6427933 6505536 6641068 6745507 6794088 6855296 6916056 6963104 7193984 7522026 7589792 7657062 7764672 7904064 7926436 8750928 8775697 8933239 9058784 9139074 9221408 9961602 10029368 10209416 10282944 10444656 10662253 10790976 11384688 11667904 11889654 12185432 12855866 13011072 13282136 13491014 13588176 13832112 13926208 15044052 15179584 15314124 15529344 15808128 15852872 17501856 17551394 17866478 18117568 18278148 18442816 19283799 19923204 20058736 20236521 20418832 20565888 20889312 21324506 21581952 22769376 23335808 23779308 24370864 25711732 26327091 26564272 26799717 26982028 27176352 27664224 27852416 30088104 30359168 30628248 31705744 31986759 35003712 35102788 35732956 36235136 36556296 36885632 38567598 39846408 40117472 40473042 40837664 41778624 42649012 44995531 45538752 47218549 47558616 48741728 51423464 52654182 53128544 53599434 53964056 54352704 55328448 60176208 61256496 61429879 63411488 63973518 70007424 70205576 71465912 73112592 77135196 79692816 80234944 80946084 81675328 83557248 85298024 89991062 91077504 94437098 95117232 97483456 102846928 105308364 106257088 107198868 107928112 108705408 110656896 120352416 122512992 122859758 126822976 127947036 134986593 140411152 141655647 142931824 146225184 154270392 159385632 160469888 161892168 163350656 170596048 179982124 184289637 188874196 190234464 194966912 199265923 205693856 210616728 212514176 214397736 215856224 237833521 240704832 245025984 245719516 253645952 255894072 269973186 280822304 283311294 285863648 292450368 308540784 314968717 318771264 323784336 330529843 341192096 359964248 368579274 377748392 380468928 398531846 411387712 421233456 428795472 431712448 475667042 481409664 490051968 491439032 511788144 539946372 561644608 566622588 571727296 584900736 597797769 617081568 629937434 637542528 647568672 661059686 682384192 713500563 719928496 737158548 755496784 760937856 797063692 822775424 842466912 857590944 863424896 944906151 951334084 982878064 991589529 1023576288 1079892744 1123289216 1133245176 1143454592 1195595538 1234163136 1259874868 1295137344 1322119372 1364768384 1394861461 1427001126 1439856992 1474317096 1510993568 1594127384 1664834647 1684933824 1715181888 1889812302 1902668168 1965756128 1983179058 2047152576 2159785488 2266490352 2391191076 2468326272 2519749736 2590274688 2644238744 2789722922 2854002252 2879713984 2948634192 3021987136 3188254768 3329669294 3369867648 3430363776 3779624604 3805336336 3931512256 3966358116 4094305152 4184584383 4319570976 4532980704 4782382152 4994503941 5039499472 5288477488 5579445844 5708004504 5759427968 5897268384 6043974272 6376509536 6659338588 7372839151 7559249208 7610672672 7863024512 7932716232 8369168766 8639141952 9065961408 9564764304 9764030227 9989007882 10078998944 10576954976 11158891688 11416009008 11653842529 11794536768 12753019072 13318677176 14745678302 15118498416 15221345344 15865432464 16738337532 17278283904 18131922816 19129528608 19528060454 19978015764 20157997888 21153909952 22118517453 22317783376 22832018016 23307685058 23589073536 25506038144 26637354352 29292090681 29491356604 30236996832 30442690688 31730864928 33476675064 34961527587 38259057216 39056120908 39956031528 40315995776 42307819904 44237034906 44635566752 45664036032 46615370116 51609874057 53274708704 58584181362 58982713208 60473993664 63461729856 66953350128 69923055174 76518114432 78112241816 79912063056 88474069812 89271133504 91328072064 93230740232 103219748114 106549417408 117168362724 117965426416 120947987328 126923459712 133906700256 139846110348 154829622171 156224483632 159824126112 176948139624 178542267008 186461480464 206439496228 213098834816 234336725448 235930852832 267813400512 279692220696 309659244342 312448967264 319648252224 353896279248 361269118399 372922960928 412878992456 468673450896 471861705664 535626801024 559384441392 619318488684 624897934528 639296504448 707792558496 722538236798 745845921856 825757984912 937346901792 943723411328 1083807355197 1118768882784 1238636977368 1249795869056 1415585116992 1445076473596 1491691843712 1651515969824 1874693803584 2167614710394 2237537765568 2477273954736 2831170233984 2890152947192 3303031939648 3749387607168 4335229420788 4475075531136 4954547909472 5780305894384 6606063879296 8670458841576 9909095818944 11560611788768 17340917683152 19818191637888 23121223577536 34681835366304 46242447155072 69363670732608 138727341465216
• Sum of all divisors σ(n): 454936670161920
• Sum of proper divisors (its aliquot sum) s(n): 316209328696704
• 138727341465216 is an abundant number, because the sum of its proper divisors (316209328696704) is greater than itself. Its abundance is 177481987231488

Bases of 138727341465216

• Binary: 11111100010101111111001111010001001111010000000₂
• Hexadecimal: 0x7E2BF9E89E80
• Base-36: 1D6AGL9VUO

Squares and roots of 138727341465216

• 138727341465216 squared (138727341465216²) is 19245275270006638557737926656
• 138727341465216 cubed (138727341465216³) is 2669845873974287999474465903116508983197696
• The square root of 138727341465216 is 11778257.1488831061
• The cube root of 138727341465216 is 51767.1220265295

Scales and comparisons

• 138,727,341,465,216 seconds is equal to 4,411,100 years, 18 weeks, 5 hours, 13 minutes, 36 seconds.
• To count from 1 to 138,727,341,465,216 would take you about eleven million, twenty-seven thousand, seven hundred fifty 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 138727341465216 cubic inches would be around 4313.9 feet tall.

Recreational maths with 138727341465216

• 138727341465216 backwards is 612564143727831
• The number of decimal digits it has is: 15
• The sum of 138727341465216's digits is 60
• More coming soon!