138822757632

Names of 138822757632

• Cardinal: 138822757632 can be written as One hundred thirty-eight billion, eight hundred twenty-two million, seven hundred fifty-seven thousand, six hundred thirty-two.

Scientific notation

• Scientific notation: 1.38822757632 × 10¹¹

Factors of 138822757632

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 172

Divisors of 138822757632

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 31 32 36 38 39 43 48 52 54 57 61 62 64 72 76 78 86 93 96 104 108 114 117 122 124 128 129 144 152 156 171 172 183 186 192 208 216 228 234 244 247 248 256 258 279 288 304 312 342 344 351 366 372 384 387 403 416 432 456 468 488 494 496 513 516 549 558 559 576 589 608 624 684 688 702 732 741 744 768 774 793 806 817 832 837 864 912 936 976 988 992 1026 1032 1098 1116 1118 1152 1159 1161 1178 1209 1216 1248 1333 1368 1376 1404 1464 1482 1488 1548 1586 1612 1634 1647 1664 1674 1677 1728 1767 1824 1872 1891 1952 1976 1984 2052 2064 2196 2223 2232 2236 2304 2318 2322 2356 2379 2418 2432 2451 2496 2623 2666 2736 2752 2808 2928 2964 2976 3096 3172 3224 3268 3294 3328 3348 3354 3456 3477 3534 3627 3648 3744 3782 3904 3952 3968 3999 4104 4128 4392 4446 4464 4472 4636 4644 4712 4758 4836 4864 4902 4992 5031 5246 5301 5332 5472 5504 5616 5673 5856 5928 5952 6192 6344 6448 6536 6588 6669 6696 6708 6912 6954 7068 7137 7254 7296 7353 7488 7564 7657 7808 7869 7904 7936 7998 8208 8256 8784 8892 8928 8944 9272 9288 9424 9516 9672 9804 9984 10062 10431 10492 10602 10621 10664 10881 10944 11008 11232 11346 11712 11856 11904 11997 12384 12688 12896 13072 13176 13338 13392 13416 13908 14136 14274 14508 14592 14706 14976 15067 15093 15128 15314 15616 15738 15808 15903 15996 16416 16512 17019 17329 17568 17784 17856 17888 18544 18576 18848 19032 19344 19608 20124 20862 20984 21204 21242 21328 21411 21762 21888 22059 22464 22692 22971 23424 23607 23712 23808 23994 24583 24768 25327 25376 25792 26144 26352 26676 26784 26832 27816 28272 28548 29016 29412 29952 30134 30186 30256 30628 31293 31476 31616 31806 31863 31992 32832 33024 34038 34099 34658 35136 35568 35712 35776 35929 35991 37088 37152 37696 38064 38688 39216 40248 41724 41968 42408 42484 42656 42822 43524 43776 44118 44928 45201 45384 45942 46848 47214 47424 47988 49166 49536 49837 50654 50752 51057 51584 51987 52288 52704 53352 53568 53664 55632 56544 57096 58032 58824 60268 60372 60512 61256 62586 62952 63232 63612 63726 63984 65664 68076 68198 68913 69316 70272 70821 71136 71424 71552 71858 71982 73749 74176 74304 75392 75981 76128 77376 78432 80496 81313 83448 83936 84816 84968 85312 85644 87048 88236 89856 90402 90768 91884 94428 94848 95589 95976 98332 99072 99674 101308 101504 102114 102297 103168 103974 104576 105408 106704 107136 107328 107787 111264 113088 114192 116064 117648 120536 120744 121024 122512 125172 125904 127224 127452 127968 131328 135603 136152 136396 137826 138632 140544 141642 142272 143104 143716 143964 147498 148352 148608 149511 150784 151962 152256 154752 155961 156864 160992 162626 166896 167872 169632 169936 170624 171288 174096 176472 180804 181536 183768 188856 189696 191178 191952 196664 199348 202616 203008 204228 204594 206739 207948 209152 210816 213408 214272 214656 215574 221247 222528 226176 227943 228384 232128 235296 241072 241488 242048 243939 245024 250344 251808 254448 254904 255936 271206 272304 272792 275652 277264 283284 284544 286767 287432 287928 294996 296704 297216 299022 303924 304512 306891 309504 311922 313728 321984 323361 325252 329251 333792 335744 339264 339872 341248 342576 348192 352944 361608 363072 367536 377712 382356 383904 393328 398696 405232 406809 408456 409188 413478 415896 421632 426816 429312 431148 442494 445056 448533 452352 455886 456768 464256 467077 467883 470592 482144 482976 484096 487878 490048 500688 503616 508896 509808 511872 542412 544608 545584 551304 554528 566568 569088 573534 574864 575856 589992 598044 607848 609024 613782 623844 627456 643968 646722 647881 650504 658502 663741 667584 671488 678528 679744 683829 685152 696384 705888 723216 726144 731817 735072 755424 764712 767808 786656 797392 810464 813618 816912 818376 826956 831792 853632 862296 884988 890112 897066 911772 913536 920673 928512 934154 935766 941184 964288 965952 970083 975756 980096 987753 1001376 1007232 1017792 1019616 1023744 1057069 1084824 1089216 1091168 1102608 1109056 1133136 1147068 1149728 1151712 1179984 1196088 1215696 1227564 1247688 1287936 1293444 1295762 1301008 1317004 1327482 1335168 1345599 1357056 1359488 1367658 1370304 1392768 1401231 1411776 1446432 1452288 1463634 1470144 1510848 1529424 1535616 1544947 1573312 1594784 1620928 1627236 1633824 1636752 1653912 1663584 1707264 1724592 1769976 1794132 1823544 1827072 1841346 1868308 1871532 1882368 1928576 1931904 1940166 1943643 1951512 1960192 1975506 2002752 2014464 2035584 2039232 2114138 2169648 2178432 2182336 2195451 2205216 2218112 2266272 2294136 2299456 2303424 2359968 2392176 2431392 2455128 2495376 2586888 2591524 2602016 2634008 2654964 2670336 2691198 2718976 2735316 2740608 2785536 2802462 2823552 2892864 2927268 2940288 2963259 3021696 3058848 3071232 3089894 3146624 3171207 3189568 3241856 3254472 3267648 3273504 3307824 3327168 3449184 3539952 3588264 3647088 3682692 3736616 3743064 3857152 3863808 3880332 3887286 3903024 3951012 4005504 4071168 4078464 4203693 4228276 4339296 4356864 4364672 4390902 4410432 4436224 4532544 4588272 4598912 4606848 4634841 4719936 4784352 4862784 4910256 4990752 5173776 5183048 5204032 5268016 5309928 5382396 5470632 5481216 5604924 5647104 5785728 5830929 5854536 5880576 5926518 6043392 6117696 6179788 6293248 6342414 6379136 6483712 6508944 6535296 6547008 6615648 6654336 6898368 7079904 7176528 7294176 7365384 7473232 7486128 7760664 7774572 7806048 7902024 8011008 8156928 8407386 8456552 8678592 8729344 8781804 8820864 8889777 9065088 9176544 9197824 9213696 9269682 9439872 9513621 9568704 9725568 9820512 9981504 10347552 10366096 10408064 10536032 10619856 10764792 10941264 11209848 11571456 11661858 11709072 11853036 12235392 12359576 12611079 12684828 12758272 13017888 13070592 13094016 13231296 13308672 13796736 13904523 14159808 14353056 14588352 14730768 14946464 14972256 15521328 15549144 15612096 15804048 16814772 16913104 17357184 17492787 17563608 17641728 17779554 18130176 18353088 18539364 18879744 19027242 19137408 19451136 19641024 19963008 20084311 20695104 20732192 20816128 21072064 21239712 21529584 21882528 22419696 23323716 23418144 23706072 24470784 24719152 25222158 25369656 26035776 26188032 26462592 27593472 27809046 28319616 28540863 28706112 29176704 29461536 29892928 29944512 31042656 31098288 31224192 31608096 33629544 33826208 34714368 34985574 35127216 35559108 36706176 37078728 38054484 38274816 39282048 39926016 40168622 41390208 41464384 41713569 42144128 42479424 43059168 43765056 44839392 46647432 46836288 47412144 49438304 50444316 50739312 52071552 52925184 55618092 56639232 57081726 57412224 58353408 58923072 59785856 59889024 60252933 62085312 62196576 62448384 63216192 67259088 67652416 69971148 70254432 71118216 73412352 74157456 76108968 78564096 80337244 82780416 82928768 83427138 84288256 84958848 86118336 87530112 89678784 93294864 93672576 94824288 98876608 100888632 101478624 104143104 111236184 114163452 114824448 117846144 119571712 119778048 120505866 124170624 124393152 126432384 134518176 135304832 139942296 140508864 142236432 148314912 152217936 160674488 165857536 166854276 169917696 172236672 175060224 179357568 180758799 186589728 187345152 189648576 197753216 201777264 202957248 222472368 228326904 235692288 241011732 248341248 248786304 252864768 269036352 270609664 279884592 281017728 284472864 296629824 304435872 321348976 333708552 344473344 358715136 361517598 373179456 379297152 395506432 403554528 405914496 444944736 456653808 482023464 497572608 538072704 542276397 559769184 562035456 568945728 593259648 608871744 642697952 667417104 723035196 746358912 758594304 807109056 811828992 889889472 913307616 964046928 1076145408 1084552794 1119538368 1137891456 1186519296 1217743488 1285395904 1334834208 1446070392 1492717824 1614218112 1779778944 1826615232 1928093856 2169105588 2239076736 2275782912 2435486976 2570791808 2669668416 2892140784 3228436224 3559557888 3653230464 3856187712 4338211176 4478153472 5141583616 5339336832 5784281568 7306460928 7712375424 8676422352 10678673664 11568563136 15424750848 17352844704 23137126272 34705689408 46274252544 69411378816 138822757632
• Sum of all divisors σ(n): 499612467200
• Sum of proper divisors (its aliquot sum) s(n): 360789709568
• 138822757632 is an abundant number, because the sum of its proper divisors (360789709568) is greater than itself. Its abundance is 221966951936

Bases of 138822757632

• Binary: 10000001010010011110110010110100000000₂
• Hexadecimal: 0x20527B2D00
• Base-36: 1RRVHHC0

Squares and roots of 138822757632

• 138822757632 squared (138822757632²) is 19271758036553014247424
• 138822757632 cubed (138822757632³) is 2675358595050947293589184832339968
• The square root of 138822757632 is 372589.2612945251
• The cube root of 138822757632 is 5177.8987720033

Scales and comparisons

• 138,822,757,632 seconds is equal to 4,414 years, 6 weeks, 6 days, 21 hours, 7 minutes, 12 seconds.
• To count from 1 to 138,822,757,632 would take you about eight thousand, eight hundred twenty-eight 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 138822757632 cubic inches would be around 431.5 feet tall.

Recreational maths with 138822757632

• 138822757632 backwards is 236757228831
• 138822757632 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138822757632's digits is 54
• More coming soon!