138407138613216
138,407,138,613,216 is an even composite number composed of five prime numbers multiplied together.
What does the number 138407138613216 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
138407138613216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138407138613216:
25 × 36 × 112 × 713 × 137
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 71 × 71 × 71 × 137)See below for interesting mathematical facts about the number 138407138613216 from the Numbermatics database.
Names of 138407138613216
- Cardinal: 138407138613216 can be written as One hundred thirty-eight trillion, four hundred seven billion, one hundred thirty-eight million, six hundred thirteen thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38407138613216 × 1014
Factors of 138407138613216
Divisors of 138407138613216
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 71 72 81 88 96 99 108 121 132 137 142 144 162 176 198 213 216 242 243 264 274 284 288 297 324 352 363 396 411 426 432 484 486 528 548 568 594 639 648 726 729 781 792 822 852 864 891 968 972 1056 1089 1096 1136 1188 1233 1278 1296 1452 1458 1507 1562 1584 1644 1704 1782 1917 1936 1944 2178 2192 2272 2343 2376 2466 2556 2592 2673 2904 2916 3014 3124 3168 3267 3288 3408 3564 3699 3834 3872 3888 4356 4384 4521 4686 4752 4932 5041 5112 5346 5751 5808 5832 6028 6248 6534 6576 6816 7029 7128 7398 7668 7776 8019 8591 8712 9042 9372 9504 9727 9801 9864 10082 10224 10692 11097 11502 11616 11664 12056 12496 13068 13152 13563 14058 14256 14796 15123 15336 16038 16577 17182 17253 17424 18084 18744 19454 19602 19728 20164 20448 21087 21384 22194 23004 23328 24112 24992 25773 26136 27126 28116 28512 29181 29403 29592 30246 30672 32076 33154 33291 34364 34506 34848 36168 37488 38908 39204 39456 40328 40689 42174 42768 44388 45369 46008 48224 49731 51546 51759 52272 54252 55451 56232 58362 58806 59184 60492 61344 63261 64152 66308 66582 68728 69012 72336 74976 77319 77816 78408 80656 81378 84348 85536 87543 88209 88776 90738 92016 99462 99873 103092 103518 104544 106997 108504 110902 112464 116724 117612 118368 120984 122067 126522 128304 132616 133164 136107 137456 138024 144672 149193 154638 155632 156816 161312 162756 166353 168696 175086 176418 177552 181476 184032 189783 198924 199746 206184 207036 213994 217008 221804 224928 231957 233448 235224 241968 244134 253044 256608 262629 265232 266328 272214 274912 276048 298386 309276 311264 313632 320991 325512 332706 337392 350172 352836 355104 357911 362952 366201 379566 397848 399492 408321 412368 414072 427988 434016 443608 447579 463914 466896 470448 483936 488268 499059 506088 525258 530464 532656 544428 552096 569349 596772 609961 618552 641982 651024 665412 674784 690617 695871 700344 705672 715822 725904 732402 759132 787887 795696 798984 816642 824736 828144 855976 887216 895158 927828 933792 940896 962973 976536 998118 1012176 1050516 1065312 1073733 1088856 1098603 1138698 1176967 1193544 1219922 1224963 1237104 1283964 1302048 1330824 1342737 1381234 1391742 1400688 1411344 1431644 1451808 1464804 1497177 1518264 1575774 1591392 1597968 1633284 1656288 1711952 1774432 1790316 1829883 1855656 1925946 1953072 1996236 2024352 2071851 2087613 2101032 2147466 2177712 2197206 2277396 2353934 2363661 2387088 2439844 2449926 2474208 2567928 2661648 2685474 2762468 2783484 2801376 2822688 2863288 2888919 2929608 2994354 3036528 3151548 3195936 3221199 3266568 3423904 3530901 3580632 3659766 3674889 3711312 3851892 3906144 3937021 3992472 4028211 4143702 4175226 4202064 4294932 4355424 4394412 4491531 4554792 4707868 4727322 4774176 4879688 4899852 5135856 5323296 5370948 5489649 5524936 5566968 5726576 5777838 5859216 5988708 6073056 6215553 6262839 6303096 6442398 6533136 7061802 7090983 7161264 7319532 7349778 7422624 7596787 7703784 7874042 7984944 8056422 8287404 8350452 8404128 8589864 8666757 8788824 8983062 9109584 9415736 9454644 9663597 9759376 9799704 10271712 10592703 10741896 10979298 11049872 11133936 11453152 11555676 11718432 11811063 11977416 12084633 12431106 12525678 12606192 12884796 13066272 13474593 14123604 14181966 14322528 14639064 14699556 15193574 15407568 15748084 15969888 16112844 16468947 16574808 16700904 17179728 17333514 17577648 17966124 18219168 18646659 18831472 18909288 19327194 19518752 19599408 21185406 21483792 21958596 22099744 22267872 22790361 23111352 23622126 23954832 24169266 24862212 25051356 25212384 25769592 26000271 26949186 28247208 28363932 28990791 29278128 29399112 30387148 30815136 31496168 31778109 32225688 32937894 33149616 33401808 34359456 34667028 35155296 35433189 35932248 37293318 37662944 37818576 38654388 39198816 40423779 42370812 42967584 43307231 43917192 45580722 46222704 47244252 47909664 48338532 49033807 49406841 49724424 50102712 51539184 52000542 53898372 55939977 56494416 56727864 57981582 58556256 58798224 60774296 62992336 63556218 64451376 65875788 66299232 66803616 68371083 69334056 70866378 71864496 74586636 75637152 77308776 78000813 80847558 83564657 84741624 86614462 86972373 87834384 91161444 92445408 94488504 95334327 96677064 98067614 98813682 99448848 100205424 103078368 104001084 106299567 107796744 111879954 112988832 113455728 115963164 117596448 121548592 125984672 127112436 128902752 129921693 131751576 136742166 138668112 141732756 143728992 147101421 148220523 149173272 154617552 156001626 161695116 167129314 167819931 169483248 173228924 173944746 175668768 182322888 188977008 190668654 193354128 196135228 197627364 198897696 200410848 205113249 208002168 212599134 215593488 223759908 226911456 231926328 243097184 250693971 254224872 259843386 260917119 263503152 273484332 277336224 283465512 286002981 294202842 296441046 298346544 309235104 312003252 318898701 323390232 334258628 335639862 338966496 346457848 347889492 364645776 377954016 381337308 386708256 389765079 392270456 395254728 410226498 416004336 425198268 431186976 441304263 444661569 447519816 463852656 501387942 503459793 508449744 519686772 521834238 527006304 539371877 546968664 566931024 572005962 588405684 592882092 596693088 615339747 624006504 637797402 646780464 668517256 671279724 692915696 695778984 729291552 752081913 762674616 779530158 784540912 790509456 820452996 832008672 850396536 858008943 882608526 889323138 895039632 927705312 956696103 1002775884 1006919586 1016899488 1039373544 1043668476 1078743754 1093937328 1133862048 1144011924 1169295237 1176811368 1185764184 1230679494 1248013008 1275594804 1293560928 1323912789 1337034512 1342559448 1385831392 1391557968 1504163826 1525349232 1559060316 1569081824 1581018912 1618115631 1640905992 1700793072 1716017886 1765217052 1778646276 1790079264 1846019241 1913392206 2005551768 2013839172 2078747088 2087336952 2157487508 2187874656 2256245739 2288023848 2338590474 2353622736 2371528368 2461358988 2496026016 2551189608 2647825578 2674069024 2685118896 2783115936 2870088309 3008327652 3050698464 3118120632 3236231262 3281811984 3401586144 3432035772 3507885711 3530434104 3557292552 3692038482 3826784412 3971738367 4011103536 4027678344 4157494176 4174673904 4314975016 4512491478 4576047696 4677180948 4707245472 4743056736 4854346893 4922717976 5102379216 5295651156 5370237792 5538057723 5740176618 5933090647 6016655304 6236241264 6472462524 6563623968 6768737217 6864071544 7015771422 7060868208 7114585104 7384076964 7653568824 7943476734 8022207072 8055356688 8349347808 8629950032 9024982956 9152095392 9354361896 9708693786 9845435952 10204758432 10523657133 10591302312 11076115446 11480353236 11866181294 11915215101 12033310608 12472482528 12944925048 13537474434 13728143088 14031542844 14121736416 14229170208 14563040679 14768153928 15307137648 15886953468 16110713376 17259900064 17799271941 18049965912 18708723792 19417387572 19690871904 20306211651 21047314266 21182604624 22152230892 22960706472 23732362588 23830430202 24066621216 25889850096 27074948868 27456286176 28063085688 29126081358 29536307856 30614275296 31570971399 31773906936 35598543882 35745645303 36099931824 37417447584 38834775144 40612423302 42094628532 42365209248 43689122037 44304461784 45921412944 47464725176 47660860404 51779700192 53397815823 54149897736 56126171376 58252162716 59072615712 60918634953 63141942798 63547813872 71197087764 71491290606 72199863648 77669550288 81224846604 84189257064 87378244074 88608923568 91842825888 94929450352 95321720808 106795631646 108299795472 112252342752 116504325432 121837269906 126283885596 127095627744 131067366111 142394175528 142982581212 155339100576 160193447469 162449693208 168378514128 174756488148 177217847136 189858900704 190643441616 213591263292 216599590944 233008650864 243674539812 252567771192 262134732222 284788351056 285965162424 320386894938 324899386416 336757028256 349512976296 381286883232 393202098333 427182526584 466017301728 480580342407 487349079624 505135542384 524269464444 569576702112 571930324848 640773789876 649798772832 699025952592 786404196666 854365053168 961160684814 974698159248 1010271084768 1048538928888 1143860649696 1281547579752 1398051905184 1441741027221 1572808393332 1708730106336 1922321369628 1949396318496 2097077857776 2563095159504 2883482054442 3145616786664 3844642739256 4194155715552 4325223081663 5126190319008 5766964108884 6291233573328 7689285478512 8650446163326 11533928217768 12582467146656 15378570957024 17300892326652 23067856435536 34601784653304 46135712871072 69203569306608 138407138613216
- Sum of all divisors σ(n): 458803557332064
- Sum of proper divisors (its aliquot sum) s(n): 320396418718848
- 138407138613216 is an abundant number, because the sum of its proper divisors (320396418718848) is greater than itself. Its abundance is 181989280105632
Bases of 138407138613216
- Binary: 111110111100001011011000101010011010111111000002
- Hexadecimal: 0x7DE16C54D7E0
- Base-36: 1D27D0RI00
Squares and roots of 138407138613216
- 138407138613216 squared (1384071386132162) is 19156536019097987447649862656
- 138407138613216 cubed (1384071386132163) is 2651401336144360175676333787008096706461696
-
The
square root of 138407138613216 is 11764656.3321338037 -
The
cube root of 138407138613216 is 51727.2626650589
Scales and comparisons
How big is 138407138613216?- 138,407,138,613,216 seconds is equal to 4,400,918 years, 46 weeks, 16 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,407,138,613,216 would take you about eleven million, two thousand, two hundred ninety-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 138407138613216 cubic inches would be around 4310.6 feet tall.
Recreational maths with 138407138613216
- 138407138613216 backwards is 612316831704831
- 138407138613216 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138407138613216's digits is 54
- More coming soon!
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The information we have on file for 138407138613216 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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