138829128984

Names of 138829128984

• Cardinal: 138829128984 can be written as One hundred thirty-eight billion, eight hundred twenty-nine million, one hundred twenty-eight thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.38829128984 × 10¹¹

Factors of 138829128984

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 162

Divisors of 138829128984

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 17 18 21 24 26 27 28 34 36 39 42 51 52 53 54 56 63 67 68 72 78 81 84 91 102 104 106 108 117 119 126 134 136 153 156 159 162 168 169 182 189 201 204 212 216 221 234 238 243 252 268 273 306 312 318 324 338 351 357 364 371 378 402 408 424 442 459 468 469 476 477 486 504 507 536 546 567 603 612 636 648 663 676 689 702 714 728 742 756 804 819 871 884 901 918 936 938 952 954 972 1014 1053 1071 1092 1113 1134 1139 1183 1206 1224 1272 1326 1352 1377 1378 1404 1407 1428 1431 1484 1512 1521 1547 1608 1638 1701 1742 1768 1802 1809 1836 1876 1908 1944 1989 2028 2067 2106 2142 2184 2226 2268 2278 2366 2412 2457 2613 2652 2703 2754 2756 2808 2814 2856 2862 2873 2968 3042 3094 3159 3213 3276 3339 3402 3417 3484 3549 3551 3604 3618 3672 3752 3816 3978 4056 4131 4134 4212 4221 4284 4293 4452 4536 4556 4563 4641 4732 4823 4824 4914 5226 5304 5406 5427 5508 5512 5628 5724 5746 5967 6084 6097 6188 6201 6307 6318 6426 6552 6678 6804 6834 6968 7098 7102 7208 7236 7371 7839 7956 7973 8109 8262 8268 8424 8442 8568 8586 8619 8904 8957 9112 9126 9282 9464 9639 9646 9828 10017 10251 10452 10647 10653 10812 10854 11016 11256 11323 11448 11492 11713 11934 12168 12194 12376 12402 12614 12636 12663 12852 12879 13356 13608 13668 13689 13923 14196 14204 14469 14472 14742 14807 15678 15912 15946 16218 16281 16524 16536 16884 17172 17238 17901 17914 18252 18291 18564 18603 18921 19278 19292 19656 20034 20111 20502 20904 21294 21306 21624 21708 22113 22646 22984 23426 23517 23868 23919 24327 24388 24804 24857 25228 25272 25326 25704 25758 25857 26712 26871 27336 27378 27846 28392 28408 28917 28938 29484 29614 30051 30753 31356 31892 31941 31959 32436 32562 33048 33768 33969 34344 34476 35139 35802 35828 36504 36582 37128 37206 37842 37989 38556 38584 40068 40222 41004 41067 41769 42588 42612 43407 43416 44226 44421 45292 46163 46852 47034 47736 47838 48654 48776 49608 49714 50456 50652 51516 51714 53703 53742 54756 54873 55692 55809 56763 57834 57876 58968 59228 60102 60333 60367 61506 62699 62712 63784 63882 63918 64872 65124 67938 68952 70278 70551 71604 71656 71757 72981 73164 74412 74571 75684 75978 77112 77571 79261 80136 80444 80613 81991 82008 82134 83538 85176 85224 86814 88452 88842 90153 90584 92259 92326 93704 94068 95676 95823 95877 97308 99428 101304 101907 103032 103428 103649 105417 107406 107484 109512 109746 111384 111618 113526 113967 115668 115752 118456 120204 120666 120734 123012 125307 125398 127764 127836 130221 130248 133263 135876 138489 140556 141102 143208 143514 145962 146328 148824 149142 151368 151956 152269 155142 158522 160888 161226 163982 164268 164619 167076 167427 170289 173628 176904 177684 180306 180999 181101 184518 184652 188097 188136 191352 191646 191754 192491 194616 198856 203814 206856 207298 210834 211653 214812 214968 215271 218943 219492 223236 223713 227052 227934 231336 232713 237783 240408 241332 241468 241839 245973 246024 250614 250796 255528 255672 260442 266526 271752 276777 276978 281112 282204 287028 287469 287631 291924 298284 303912 304538 305721 310284 310947 316251 317044 322452 323141 327964 328536 329238 334152 334854 340578 347256 355368 360612 361998 362202 369036 369304 375921 376194 383292 383508 384982 390663 399789 407628 414596 415467 421668 422569 423306 429624 430542 437886 438984 446472 447426 454104 455868 456807 465426 475566 482664 482936 483678 491946 493857 501228 501592 510867 520884 533052 542997 543303 553554 553956 564291 564408 574056 574938 575262 577473 583848 596568 600119 609076 611442 620568 621894 632502 634088 644904 645813 646282 655928 658476 669708 671139 681156 698139 713349 721224 723996 724404 725517 737919 738072 751842 752388 766584 767016 769964 781326 784771 799578 815256 829192 830934 843336 845138 846612 861084 862893 875772 894852 911736 913614 917163 930852 932841 948753 951132 967356 969423 983892 987714 1002456 1021734 1041768 1065883 1066104 1085994 1086606 1107108 1107912 1128582 1149876 1150524 1154946 1171989 1199367 1200238 1218152 1222884 1243788 1246401 1265004 1267707 1291626 1292564 1316952 1339416 1342278 1347437 1362312 1370421 1396278 1426698 1447992 1448808 1451034 1475838 1481571 1503684 1504776 1532601 1539928 1562652 1569542 1599156 1628991 1629909 1661868 1690276 1692873 1693224 1722168 1725786 1732419 1751544 1789704 1800357 1827228 1834326 1861704 1865682 1897506 1902264 1934712 1937439 1938846 1967784 1975428 2013417 2043468 2131766 2140047 2171988 2173212 2176551 2213757 2214216 2257164 2299752 2301048 2309892 2343978 2354313 2398734 2400476 2445768 2487576 2492802 2530008 2535414 2583252 2585128 2684556 2694874 2740842 2751489 2792556 2798523 2846259 2853396 2902068 2908269 2951676 2963142 3007368 3065202 3125304 3139084 3197649 3198312 3257982 3259818 3323736 3380552 3385746 3451572 3464838 3598101 3600714 3654456 3668652 3731364 3739203 3795012 3803121 3874878 3877692 3950856 4026834 4042311 4086936 4111263 4200833 4263532 4280094 4343976 4346424 4353102 4427514 4514328 4619784 4687956 4708626 4797468 4800952 4886973 4889727 4985604 5070828 5078619 5166504 5197257 5369112 5389748 5401071 5481684 5493397 5502978 5585112 5597046 5692518 5706792 5804136 5816538 5903352 5926284 6040251 6130404 6278168 6395298 6420141 6515964 6519636 6641271 6771492 6903144 6929676 7062939 7196202 7201428 7337304 7462728 7478406 7590024 7606242 7749756 7755384 8053668 8084622 8222526 8395569 8401666 8527064 8560188 8706204 8724807 8855028 9375912 9417252 9592947 9594936 9773946 9779454 9971208 10141656 10157238 10202023 10394514 10779496 10802142 10963368 10986794 11005956 11194092 11217609 11385036 11409363 11633076 11852568 12080502 12126933 12260808 12333789 12602499 12790596 12840282 13031928 13039272 13282542 13542984 13859352 14125878 14392404 14402856 14669181 14956812 15212484 15235857 15499512 15591771 16107336 16169244 16203213 16445052 16480191 16791138 16803332 17120376 17412408 17449614 17710056 18834504 19185894 19260423 19547892 19558908 19923813 20314476 20404046 20789028 21188817 21604284 21973588 22011912 22388184 22435218 22770072 22818726 23266152 24161004 24253866 24667578 25186707 25204998 25581192 25680564 26174421 26565084 28251756 28778841 28784808 29338362 29913624 30424968 30471714 30606069 31183542 32338488 32406426 32890104 32960382 33582276 33606664 34228089 34899228 36380799 37001367 37807497 38371788 38520846 39095784 39117816 39847626 40628952 40808092 41578056 42377634 43208568 43947176 44870436 45637452 46775313 48322008 48507732 48609639 49335156 49440573 50373414 50409996 51361128 52348842 53130168 56503512 57557682 58676724 60943428 61212138 62367084 63566451 64812852 65920764 67164552 68456178 69798456 71414161 72761598 74002734 75614994 76743576 77041692 78523263 79695252 81616184 84755268 86336523 89740872 91274904 91818207 93550626 97015464 97219278 98670312 98881146 100746828 100819992 102684267 104697684 109142397 113422491 115115364 117353448 121886856 122424276 124734168 127132902 129625704 131841528 136912356 142828322 145523196 145828917 148005468 148321719 151229988 154083384 157046526 159390504 169510536 172673046 183636414 187101252 190699353 194438556 197762292 201493656 205368534 209395368 214242483 218284794 226844982 230230728 244848552 254265804 259009569 273824712 275454621 285656644 291046392 291657834 296010936 296643438 302459976 314093052 327427191 340267473 345346092 367272828 374202504 381398706 388877112 395524584 410737068 428484966 436569588 444965157 453689964 508531608 518019138 550909242 571313288 583315668 593286876 628186104 642727449 654854382 680534946 690692184 734545656 762797412 821474136 826363863 856969932 873139176 889930314 907379928 1020802419 1036038276 1101818484 1166631336 1186573752 1285454898 1309708764 1334895471 1361069892 1525594824 1652727726 1713939864 1779860628 1928182347 2041604838 2072076552 2203636968 2479091589 2570909796 2619417528 2669790942 2722139784 3305455452 3559721256 3856364694 4083209676 4958183178 5141819592 5339581884 5784547041 6610910904 7712729388 8166419352 9916366356 10679163768 11569094082 15425458776 17353641123 19832732712 23138188164 34707282246 46276376328 69414564492 138829128984
• Sum of all divisors σ(n): 528334410240
• Sum of proper divisors (its aliquot sum) s(n): 389505281256
• 138829128984 is an abundant number, because the sum of its proper divisors (389505281256) is greater than itself. Its abundance is 250676152272

Bases of 138829128984

• Binary: 10000001010010110111000110010100011000₂
• Hexadecimal: 0x2052DC6518
• Base-36: 1RRZA1I0

Squares and roots of 138829128984

• 138829128984 squared (138829128984²) is 19273527054456108872256
• 138829128984 cubed (138829128984³) is 2675726973419700730593175003067904
• The square root of 138829128984 is 372597.8112979195
• The cube root of 138829128984 is 5177.9779850267

Scales and comparisons

• 138,829,128,984 seconds is equal to 4,414 years, 17 weeks, 3 days, 14 hours, 56 minutes, 24 seconds.
• To count from 1 to 138,829,128,984 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 138829128984 cubic inches would be around 431.5 feet tall.

Recreational maths with 138829128984

• 138829128984 backwards is 489821928831
• 138829128984 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138829128984's digits is 63
• More coming soon!