138396235824

Names of 138396235824

• Cardinal: 138396235824 can be written as One hundred thirty-eight billion, three hundred ninety-six million, two hundred thirty-five thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.38396235824 × 10¹¹

Factors of 138396235824

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 137

Divisors of 138396235824

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 31 33 36 42 44 48 49 54 56 62 63 66 72 77 81 83 84 88 93 98 99 108 112 121 124 126 132 144 147 154 162 166 168 176 186 189 196 198 216 217 231 242 248 249 252 264 279 294 297 308 324 332 336 341 343 363 372 378 392 396 432 434 441 462 484 496 498 504 528 539 558 567 581 588 594 616 648 651 664 682 686 693 726 744 747 756 784 792 837 847 868 882 891 913 924 968 996 1008 1023 1029 1078 1089 1116 1134 1162 1176 1188 1232 1296 1302 1323 1328 1364 1372 1386 1452 1488 1494 1512 1519 1584 1617 1674 1694 1736 1743 1764 1782 1826 1848 1936 1953 1992 2046 2058 2079 2156 2178 2232 2241 2268 2324 2352 2376 2387 2511 2541 2573 2604 2646 2728 2739 2744 2772 2904 2988 3024 3038 3069 3087 3234 3267 3348 3388 3472 3486 3528 3564 3652 3696 3751 3773 3906 3969 3984 4067 4092 4116 4158 4312 4356 4464 4482 4536 4557 4648 4752 4774 4851 5022 5082 5146 5208 5229 5292 5456 5478 5488 5544 5808 5859 5929 5976 6076 6138 6174 6237 6391 6468 6534 6696 6723 6776 6972 7056 7128 7161 7304 7502 7546 7623 7719 7812 7938 8134 8184 8217 8232 8316 8624 8712 8964 9072 9114 9207 9261 9296 9548 9702 9801 10043 10044 10164 10292 10416 10458 10584 10633 10956 11088 11253 11319 11718 11858 11952 12152 12201 12276 12348 12474 12782 12936 13068 13392 13446 13552 13671 13944 14256 14322 14553 14608 15004 15092 15246 15438 15624 15687 15876 16268 16368 16434 16464 16632 16709 17424 17577 17787 17928 18011 18228 18414 18522 19096 19173 19404 19602 20086 20088 20328 20584 20916 21168 21266 21483 21912 22506 22638 22869 23157 23436 23716 24304 24402 24552 24651 24696 24948 25564 25872 26136 26257 26892 27342 27621 27783 27888 28303 28469 28644 29106 30008 30129 30184 30492 30876 31248 31374 31752 31899 32536 32868 33264 33418 33759 33957 35154 35574 35856 36022 36456 36603 36828 37044 38192 38346 38808 39204 40172 40176 40656 41013 41168 41503 41832 42532 42966 43659 43824 44737 45012 45276 45738 46314 46872 47061 47432 48804 49104 49302 49392 49896 50127 51128 52272 52514 53361 53784 54033 54684 55242 55566 56606 56938 57288 57519 58212 60016 60258 60368 60984 61752 62748 63504 63798 64449 65072 65736 66836 67518 67914 68607 69471 70301 70308 71148 72044 72912 73206 73656 73953 74088 76692 77616 78408 78771 80344 82026 83006 83664 84909 85064 85407 85932 87318 89474 90024 90387 90552 91476 92628 93744 94122 94864 95697 97608 98604 99792 100254 101277 101871 102256 105028 106722 107568 108066 109368 109809 110484 111132 113212 113876 114576 115038 116424 116963 120516 121968 123039 123504 124509 125496 126077 127596 128898 131472 133672 134211 135036 135828 137214 138942 140602 140616 142296 144088 146412 147312 147906 148176 150381 153384 156816 157542 160083 160688 162099 164052 166012 169818 170128 170814 171864 172557 174636 178948 180048 180774 181104 182952 183799 185256 188244 191394 193347 195216 197208 198121 200508 202554 203742 208413 210056 210903 213444 216132 218736 219618 220968 222264 226424 227752 230076 232848 233926 236313 241032 246078 249018 250992 252154 254727 255192 256221 257796 267344 268422 270072 271161 271656 274428 277884 281204 281232 284592 287091 288176 292824 295812 300762 303831 305613 306768 311333 313159 315084 320166 324198 328104 329427 332024 339636 341628 343728 345114 349272 350889 357896 361548 365904 367598 370512 373527 376488 378231 382788 386694 394416 396242 401016 402633 405108 407484 416826 420112 421806 426888 432264 439236 441936 444528 451143 452848 455504 460152 467852 472626 480249 482064 486297 492107 492156 498036 504308 509454 510384 512442 515592 517671 536844 540144 542322 543312 548856 551397 555768 562408 574182 585648 591624 594363 601524 607662 611226 622666 626318 630168 632709 640332 648396 656208 658854 664048 679272 683256 690228 698544 701778 708939 715792 723096 735196 747054 752976 756462 764181 765576 768663 773388 792484 802032 805266 810216 813483 814968 833652 843612 853776 861273 864528 878472 882539 902286 920304 933999 935704 939477 945252 960498 972594 984214 984312 996072 1008616 1018908 1024884 1031184 1035342 1052667 1073688 1084644 1097712 1102794 1111536 1120581 1124816 1134693 1148364 1183248 1188726 1203048 1207899 1215324 1222452 1245332 1252636 1260336 1265418 1280664 1286593 1296792 1317708 1353429 1358544 1366512 1380456 1386847 1403556 1417878 1446192 1458891 1470392 1476321 1494108 1512924 1528362 1531152 1537326 1546776 1584968 1610532 1620432 1626966 1629936 1654191 1667304 1687224 1722546 1756944 1765078 1783089 1804572 1867998 1871408 1878954 1890504 1898127 1920996 1945188 1968428 1968624 1992144 2017232 2037816 2049768 2070684 2105334 2126817 2147376 2169288 2179331 2205588 2241162 2269386 2292543 2296728 2305989 2377452 2406096 2415798 2430648 2444904 2490664 2505272 2530836 2561328 2573186 2593584 2635416 2647617 2706858 2760912 2773694 2801997 2807112 2818431 2835756 2917782 2940784 2952642 2988216 3025848 3056724 3074652 3093552 3158001 3169936 3221064 3253932 3308382 3334608 3361743 3374448 3404079 3444749 3445092 3530156 3566178 3609144 3623697 3735996 3757908 3781008 3796254 3841992 3859779 3890376 3936856 4075632 4099536 4141368 4160541 4210668 4253634 4338576 4358662 4411176 4428963 4482324 4538772 4585086 4593456 4611978 4754904 4831596 4861296 4889808 4962573 4981328 5010544 5061672 5146372 5270832 5295234 5349267 5413716 5547388 5603994 5614224 5636862 5671512 5694381 5835564 5905284 5976432 6051696 6113448 6149304 6316002 6442128 6507864 6537993 6616764 6723486 6808158 6889498 6890184 7060312 7132356 7218288 7247394 7471992 7515816 7592508 7683984 7719558 7780752 7873712 7942851 8282736 8321082 8405991 8421336 8455293 8507268 8717324 8822352 8857926 8964648 9077544 9170172 9223956 9474003 9509808 9663192 9707929 9925146 10123344 10212237 10292744 10334247 10590468 10698534 10827432 11094776 11207988 11273724 11343024 11388762 11579337 11671128 11810568 12226896 12298608 12481623 12632004 13015728 13075986 13233528 13286889 13446972 13616316 13778996 13780368 14120624 14264712 14494788 14887719 14943984 15031632 15185016 15255317 15439116 15885702 16047801 16642164 16811982 16842672 16910586 17014536 17434648 17715852 17929296 18155088 18340344 18447912 18948006 19326384 19415858 19613979 19850292 20424474 20585488 20668494 21180936 21397068 21654864 22189552 22415976 22547448 22777524 23158674 23342256 23621136 23828553 24963246 25217973 25264008 25365879 26151972 26467056 26573778 26893944 27232632 27557992 28529424 28989576 29123787 29775438 30370032 30510634 30878232 31002741 31771404 32095602 33284328 33623964 33821172 34029072 34738011 34869296 35431704 36680688 36895824 37444869 37896012 38831716 39227958 39700584 39860667 40848948 41336988 42361872 42794136 44831952 45094896 45555048 45765951 46317348 47657106 49926492 50435946 50528016 50731758 52303944 53147556 53787888 54465264 55115984 57979152 58247574 58841937 59550876 61021268 61756464 62005482 63542808 64191204 66568656 67247928 67642344 69476022 70863408 71485659 74889738 75792024 77663432 78455916 79401168 79721334 81697896 82673976 85588272 87371361 91110096 91531902 92634696 93008223 95314212 99852984 100871892 101463516 104214033 104607888 106295112 106787219 112334607 116495148 117683874 119101752 122042536 124010964 127085616 128382408 134495856 135284688 137297853 138952044 142971318 149779476 151584048 155326864 156911832 159442668 163395792 165347952 174742722 176525811 183063804 185269392 186016446 190628424 199705968 201743784 202927032 208428066 212590224 213574438 224669214 232990296 235367748 238203504 244085072 248021928 256764816 262114083 274595706 277904088 279024669 285942636 299558952 313823664 318885336 320361657 349485444 353051622 366127608 372032892 381256848 403487568 405854064 411893559 416856132 427148876 449338428 465980592 470735496 496043856 524228166 549191412 555808176 558049338 571885272 599117904 637770672 640723314 698970888 706103244 732255216 744065784 786342249 823787118 833712264 854297752 898676856 941470992 961084971 1048456332 1098382824 1116098676 1143770544 1235680677 1281446628 1397941776 1412206488 1488131568 1572684498 1647574236 1667424528 1708595504 1797353712 1922169942 2096912664 2196765648 2232197352 2471361354 2562893256 2824412976 2883254913 3145368996 3295148472 3844339884 4193825328 4464394704 4942722708 5125786512 5766509826 6290737992 6590296944 7688679768 8649764739 9885445416 11533019652 12581475984 15377359536 17299529478 19770890832 23066039304 34599058956 46132078608 69198117912 138396235824
• Sum of all divisors σ(n): 536399001600
• Sum of proper divisors (its aliquot sum) s(n): 398002765776
• 138396235824 is an abundant number, because the sum of its proper divisors (398002765776) is greater than itself. Its abundance is 259606529952

Bases of 138396235824

• Binary: 10000000111001000011101111100000110000₂
• Hexadecimal: 0x20390EF830
• Base-36: 1RKTJN00

Squares and roots of 138396235824

• 138396235824 squared (138396235824²) is 19153518090252220958976
• 138396235824 cubed (138396235824³) is 2650774806477796487478197925556224
• The square root of 138396235824 is 372016.4456364799
• The cube root of 138396235824 is 5172.5904386729

Scales and comparisons

• 138,396,235,824 seconds is equal to 4,400 years, 29 weeks, 5 days, 6 hours, 50 minutes, 24 seconds.
• To count from 1 to 138,396,235,824 would take you about eight thousand, eight hundred one 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 138396235824 cubic inches would be around 431 feet tall.

Recreational maths with 138396235824

• 138396235824 backwards is 428532693831
• 138396235824 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138396235824's digits is 54
• More coming soon!