138617610768

Names of 138617610768

• Cardinal: 138617610768 can be written as One hundred thirty-eight billion, six hundred seventeen million, six hundred ten thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38617610768 × 10¹¹

Factors of 138617610768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 125

Divisors of 138617610768

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 27 28 34 36 39 42 48 49 51 52 54 56 63 68 72 78 81 83 84 91 98 102 104 108 112 117 119 126 136 144 147 153 156 162 166 168 182 189 196 204 208 216 221 234 238 249 252 272 273 289 294 306 312 324 332 336 343 351 357 364 378 392 408 432 441 442 459 468 476 498 504 546 567 578 581 588 612 624 637 648 663 664 686 702 714 728 747 756 784 816 819 833 867 882 884 918 936 952 996 1008 1029 1053 1071 1079 1092 1134 1156 1162 1176 1224 1274 1296 1323 1326 1328 1372 1377 1404 1411 1428 1456 1494 1512 1547 1638 1666 1734 1743 1764 1768 1836 1872 1904 1911 1989 1992 2023 2058 2106 2142 2158 2184 2241 2268 2312 2324 2352 2448 2457 2499 2548 2601 2646 2652 2744 2754 2808 2822 2856 2988 3024 3087 3094 3213 3237 3276 3332 3468 3486 3528 3536 3672 3757 3822 3969 3978 3984 4046 4067 4116 4212 4233 4284 4316 4368 4459 4482 4536 4624 4641 4648 4914 4998 5096 5202 5229 5292 5304 5488 5508 5616 5644 5712 5733 5831 5967 5976 6069 6174 6188 6426 6474 6552 6664 6723 6936 6972 7056 7344 7371 7497 7514 7553 7644 7803 7938 7956 8092 8134 8232 8424 8466 8568 8632 8918 8964 9072 9261 9282 9296 9639 9711 9828 9877 9996 10192 10404 10458 10584 10608 10829 11016 11271 11288 11466 11662 11934 11952 12138 12201 12348 12376 12699 12852 12948 13104 13328 13377 13446 13872 13923 13944 14161 14742 14994 15028 15106 15288 15606 15687 15876 15912 16184 16268 16464 16848 16932 17136 17199 17264 17493 17836 17901 17928 18207 18343 18522 18564 19278 19422 19656 19754 19992 20808 20916 21168 21658 22032 22491 22542 22576 22659 22932 23324 23409 23868 23987 24276 24402 24696 24752 25398 25704 25896 26299 26754 26892 27783 27846 27888 28322 28469 29133 29484 29631 29988 30056 30212 30576 31212 31374 31752 31824 32368 32487 32536 33813 33864 34398 34986 35672 35802 35856 36414 36603 36686 37044 37128 38097 38556 38844 39312 39508 39984 40131 41616 41769 41832 42483 43316 44982 45084 45318 45864 46648 46818 47061 47736 47974 48552 48804 49392 50796 51408 51597 51792 52479 52598 52871 53508 53784 54621 55029 55566 55692 56644 56938 58266 58968 59262 59976 60112 60424 62424 62748 63504 64974 65072 67473 67626 67728 67977 68796 69139 69972 71344 71604 71961 72828 73206 73372 74088 74256 75803 76194 77112 77688 78897 79016 80262 83538 83664 84966 85407 86632 87399 88893 89964 90168 90636 91728 93296 93636 94122 95472 95948 97104 97461 97608 99127 101439 101592 103194 104958 105196 105742 107016 107568 109242 109809 110058 111132 111384 113288 113876 114291 116532 117936 118524 119952 120393 120848 124848 125307 125496 127449 128401 129948 134946 135252 135954 137592 138278 139944 143208 143922 145656 146412 146744 148176 151606 152388 154224 155376 157437 157794 158032 158613 160524 163863 165087 167076 167909 169932 170814 173264 174798 177786 179928 180336 181272 184093 187272 188244 191896 194922 195216 198254 202878 203184 203931 206388 207417 209916 210392 211484 214032 215883 218484 219618 220116 222264 222768 226576 227409 227752 228582 233064 236691 237048 240786 250614 250992 254898 256221 256802 259896 266679 269892 270504 271908 275184 276556 279888 286416 287844 291312 292383 292824 293488 297381 303212 304317 304776 311831 314874 315588 317226 321048 327726 329427 330174 334152 335818 339864 341628 349596 355572 359856 361179 362544 368186 370097 374544 376488 382347 383792 385203 389844 396508 405756 407862 412776 414834 419832 420784 422968 431766 436968 439236 440232 444528 454818 455504 457164 466128 472311 473382 474096 475839 481572 483973 495261 501228 503727 509796 512442 513604 519792 533358 539784 541008 543816 552279 553112 575688 584766 585648 594762 606424 608634 609552 611793 622251 623662 629748 631176 634452 642096 647649 655452 658854 660348 668304 671636 679728 682227 683256 699192 710073 711144 722358 736372 740194 752976 764694 768663 770406 779688 793016 800037 811512 815724 825552 829668 839664 845936 863532 873936 877149 878472 880464 892143 898807 909636 914328 935493 944622 946764 951678 963144 967946 990522 1002456 1007454 1019592 1024884 1027208 1066716 1079568 1087632 1104558 1106224 1110291 1147041 1151376 1155609 1169532 1175363 1189524 1212848 1217268 1223586 1244502 1247324 1259496 1262352 1268904 1288651 1295298 1310904 1317708 1320696 1343272 1364454 1366512 1398384 1420146 1422288 1427517 1444716 1451919 1472744 1480388 1485783 1511181 1529388 1537326 1540812 1559376 1586032 1600074 1623024 1631448 1656837 1659336 1727064 1754298 1756944 1784286 1797614 1819272 1828656 1866753 1870986 1889244 1893528 1903356 1926288 1935892 1942947 1981044 2004912 2014908 2039184 2046681 2049768 2054416 2130219 2133432 2182817 2209116 2220582 2294082 2305989 2311218 2339064 2350726 2379048 2434536 2447172 2489004 2494648 2518992 2537808 2577302 2590596 2621808 2635416 2641392 2676429 2686544 2696421 2728908 2806479 2840292 2855034 2889432 2903838 2945488 2960776 2971566 3022362 3058776 3074652 3081624 3200148 3262896 3313674 3318672 3330873 3454128 3466827 3508596 3526089 3568572 3595228 3638544 3733506 3741972 3778488 3787056 3806712 3865953 3871784 3885894 3962088 4029816 4093362 4099536 4260438 4266864 4282551 4355757 4365634 4418232 4441164 4533543 4588164 4611978 4622436 4678128 4701452 4758096 4869072 4894344 4970511 4978008 4989296 5154604 5181192 5270832 5352858 5392842 5457816 5600259 5612958 5680584 5710068 5778864 5807676 5921552 5943132 6044724 6117552 6140043 6149304 6163248 6291649 6400296 6548451 6627348 6661746 6933654 7017192 7052178 7137144 7190456 7467012 7483944 7556976 7613424 7731906 7743568 7771788 7924176 8029287 8059632 8089263 8186724 8227541 8419437 8520876 8565102 8711514 8731268 8836464 8882328 9067086 9176328 9223956 9244872 9402904 9788688 9941022 9956016 9992619 10309208 10362384 10400481 10578267 10705716 10785684 10915632 11200518 11225916 11361168 11420136 11597859 11615352 11886264 12089448 12280086 12298608 12583298 12800592 13067271 13096902 13254696 13323492 13600629 13867308 14034384 14104356 14274288 14380912 14911533 14934024 14967888 15279719 15463812 15543576 16058574 16178526 16373448 16455082 16838874 17041752 17130204 17423028 17462536 17764656 18134172 18352656 18447912 18489744 18805808 18874947 19645353 19882044 19985238 20618416 20800962 21156534 21411432 21571368 22401036 22451832 22840272 23195718 23230704 23772528 24178896 24267789 24560172 24682623 25166596 25258311 26134542 26193804 26509392 26646984 27201258 27734616 28208712 29823066 29868048 29977857 30559438 30927624 31087152 31734801 32117148 32357052 32746896 32910164 33677748 34083504 34260408 34793577 34846056 34925072 36268344 36895824 37749894 39201813 39290706 39764088 39970476 41601924 42313068 42822864 43142736 44802072 44903664 45839157 46391436 48535578 49120344 49365246 50333192 50516622 52269084 52387608 53293968 54402516 55469232 56417424 56624841 58936059 59646132 59955714 61118876 61855248 63469602 64234296 64714104 65820328 67355496 68520816 69587154 69692112 72536688 72803367 74047869 75499788 78403626 78581412 79528176 79940952 83203848 84626136 89604144 91678314 92782872 95204403 97071156 98240688 98730492 100666384 101033244 104380731 104538168 104775216 106958033 108805032 113249682 117872118 119292264 119911428 122237752 126939204 128468592 129428208 131640656 134710992 137517471 139174308 145606734 148095738 150999576 156807252 157162824 159881904 166407696 169252272 169874523 176808177 183356628 185565744 190408806 194142312 197460984 202066488 208761462 209076336 213916066 217610064 222143607 226499364 235744236 238584528 239822856 244475504 253878408 275034942 278348616 291213468 296191476 301999152 313614504 314325648 320874099 339749046 353616354 366713256 380817612 388284624 394921968 404132976 412552413 417522924 427832132 444287214 452998728 471488472 479645712 507756816 509623569 550069884 556697232 582426936 592382952 627229008 641748198 666430821 679498092 707232708 733426512 761635224 825104826 835045848 855664264 888574428 905997456 942976944 962622297 1019247138 1100139768 1164853872 1184765904 1237657239 1283496396 1332861642 1358996184 1414465416 1523270448 1650209652 1670091696 1711328528 1777148856 1925244594 2038494276 2200279536 2475314478 2566992792 2665723284 2717992368 2828930832 2887866891 3300419304 3554297712 3850489188 4076988552 4950628956 5133985584 5331446568 5775733782 6600838608 7700978376 8153977104 8663600673 9901257912 10662893136 11551467564 15401956752 17327201346 19802515824 23102935128 34654402692 46205870256 69308805384 138617610768
• Sum of all divisors σ(n): 541692412800
• Sum of proper divisors (its aliquot sum) s(n): 403074802032
• 138617610768 is an abundant number, because the sum of its proper divisors (403074802032) is greater than itself. Its abundance is 264457191264

Bases of 138617610768

• Binary: 10000001000110010000001110001000010000₂
• Hexadecimal: 0x204640E210
• Base-36: 1ROHCH00

Squares and roots of 138617610768

• 138617610768 squared (138617610768²) is 19214842015028749549824
• 138617610768 cubed (138617610768³) is 2663515491407868011427258454904832
• The square root of 138617610768 is 372313.8605639065
• The cube root of 138617610768 is 5175.3469488877

Scales and comparisons

• 138,617,610,768 seconds is equal to 4,407 years, 31 weeks, 5 days, 11 hours, 52 minutes, 48 seconds.
• To count from 1 to 138,617,610,768 would take you about eight thousand, eight hundred fifteen 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 138617610768 cubic inches would be around 431.3 feet tall.

Recreational maths with 138617610768

• 138617610768 backwards is 867016716831
• 138617610768 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138617610768's digits is 54
• More coming soon!