138983970048

Names of 138983970048

• Cardinal: 138983970048 can be written as One hundred thirty-eight billion, nine hundred eighty-three million, nine hundred seventy thousand and forty-eight.

Scientific notation

• Scientific notation: 1.38983970048 × 10¹¹

Factors of 138983970048

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 514

Divisors of 138983970048

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 32 33 38 41 42 44 48 49 56 57 64 66 76 77 82 84 88 96 98 112 114 123 128 132 133 147 152 154 164 168 176 192 196 209 224 228 231 246 256 264 266 287 294 304 308 328 336 352 384 392 399 418 431 448 451 456 462 492 528 532 539 574 588 608 616 627 656 672 704 768 779 784 798 836 861 862 896 902 912 924 931 984 1056 1064 1078 1148 1176 1216 1232 1254 1293 1312 1344 1353 1408 1463 1558 1568 1596 1617 1672 1722 1724 1792 1804 1824 1848 1862 1968 2009 2112 2128 2156 2296 2337 2352 2432 2464 2508 2586 2624 2688 2706 2793 2816 2926 3017 3116 3136 3157 3192 3234 3344 3444 3448 3608 3648 3696 3724 3936 4018 4224 4256 4312 4389 4592 4674 4704 4741 4864 4928 5016 5172 5248 5376 5412 5453 5586 5852 6027 6034 6232 6272 6314 6384 6468 6688 6888 6896 7216 7296 7392 7448 7872 8036 8189 8448 8512 8569 8624 8778 9051 9184 9348 9408 9471 9482 9856 10032 10241 10344 10496 10824 10906 11172 11704 12054 12068 12464 12544 12628 12768 12936 13376 13776 13792 14223 14432 14592 14784 14896 15744 16072 16359 16378 17024 17138 17248 17556 17671 18102 18368 18696 18816 18942 18964 19712 20064 20482 20688 21119 21648 21812 22099 22344 23408 24108 24136 24567 24928 25256 25536 25707 25872 26752 27552 27584 28446 28864 29568 29792 30723 31488 32144 32718 32756 33187 34048 34276 34496 35112 35342 36204 36736 37392 37632 37884 37928 38171 40128 40964 41376 42238 43296 43624 44198 44688 46816 48216 48272 49134 49856 50512 51072 51414 51744 53013 53504 55104 55168 56892 57323 57728 59136 59584 59983 61446 63357 64288 65436 65512 66297 66374 68552 68992 70224 70684 72408 73472 74784 75768 75856 76342 80256 81928 82752 84476 86592 87248 88396 89376 90079 93632 96432 96544 98268 99561 99712 101024 102144 102828 103488 106026 110208 110336 113784 114513 114646 115456 119168 119966 122892 123697 126714 128576 130872 131024 132594 132748 137104 137984 140448 141368 144816 149568 151536 151712 152684 160512 163856 165504 168952 171969 173184 174496 176792 178752 179949 180158 187264 192864 193088 194381 196536 199122 199424 202048 205656 206976 212052 220416 227568 229026 229292 232309 238336 239932 245784 247394 253428 257152 261744 262048 265188 265496 270237 274208 280896 282736 289632 299136 303072 303424 305368 327712 331008 335749 337904 343938 346368 348992 353584 357504 359898 360316 371091 374528 385728 386176 388762 393072 398244 401261 404096 411312 413952 419881 424104 455136 458052 458584 464618 479864 491568 494788 506856 514304 523488 524096 530376 530992 540474 548416 561792 565472 579264 583143 598272 606144 606848 610736 630553 655424 671498 675808 687876 696927 697984 707168 715008 719796 720632 742182 771456 772352 777524 786144 796488 802522 808192 822624 839762 848208 865879 910272 916104 917168 929236 959728 983136 989576 1007247 1013712 1046976 1048192 1060752 1061984 1080948 1096832 1123584 1130944 1158528 1166286 1203783 1212288 1213696 1221472 1259643 1261106 1310848 1342996 1351616 1360667 1375752 1393854 1395968 1414336 1439592 1441264 1484364 1542912 1555048 1572288 1592976 1605044 1645248 1679524 1696416 1731758 1820544 1832208 1834336 1858472 1891659 1919456 1966272 1979152 2014494 2027424 2093952 2096384 2121504 2123968 2161896 2193664 2261888 2317056 2332572 2350243 2407566 2424576 2442944 2519286 2522212 2597637 2621696 2685992 2703232 2721334 2751504 2787708 2828672 2879184 2882528 2968728 3110096 3144576 3185952 3210088 3290496 3359048 3392832 3463516 3641088 3664416 3668672 3693239 3716944 3783318 3838912 3932544 3958304 4028988 4054848 4082001 4187904 4243008 4247936 4323792 4413871 4523776 4665144 4700486 4815132 4885888 5038572 5044424 5195274 5371984 5406464 5442668 5503008 5575416 5657344 5758368 5765056 5937456 6220192 6289152 6371904 6420176 6580992 6718096 6785664 6927032 7050729 7328832 7337344 7386478 7433888 7566636 7677824 7865088 7916608 8057976 8109696 8164002 8486016 8495872 8647584 8827742 9330288 9400972 9524669 9630264 9771776 10077144 10088848 10390548 10743968 10885336 11006016 11079717 11150832 11516736 11530112 11874912 12440384 12743808 12840352 13241613 13436192 13571328 13854064 14101458 14657664 14674688 14772956 14867776 15133272 15355648 15833216 16115952 16219392 16328004 16451701 16972032 17295168 17655484 18660576 18801944 19049338 19260528 20154288 20177696 20781096 21487936 21770672 22012032 22159434 22301664 23033472 23060224 23749824 24880768 25487616 25680704 25852673 26483226 26872384 27708128 28202916 28574007 29315328 29545912 29735552 30266544 31666432 32231904 32656008 32903402 34590336 35310968 37321152 37603888 38098676 38521056 40308576 40355392 41562192 42975872 43541344 44024064 44318868 44603328 46066944 47499648 49355103 49761536 51361408 51705346 52966452 53744768 55416256 56405832 57148014 59091824 59471104 60533088 64463808 65312016 65806804 69180672 70621936 74642304 75207776 76197352 77042112 77558019 80617152 80710784 83124384 85951744 87082688 88637736 89206656 94999296 98710206 102722816 103410692 105932904 107489536 110832512 112811664 114296028 118183648 121066176 128927616 130624032 131613608 141243872 149284608 150415552 152394704 154084224 155116038 161234304 161421568 166248768 174165376 177275472 178413312 180968711 197420412 206821384 211865808 221665024 225623328 228592056 236367296 242132352 257855232 261248064 263227216 282487744 300831104 304789408 308168448 310232076 322468608 332497536 348330752 354550944 361937422 394840824 413642768 423731616 451246656 457184112 472734592 484264704 522496128 526454432 542906133 564975488 601662208 609578816 620464152 664995072 709101888 723874844 789681648 827285536 847463232 902493312 914368224 945469184 1044992256 1052908864 1085812266 1129950976 1219157632 1240928304 1418203776 1447749688 1579363296 1654571072 1694926464 1804986624 1828736448 2105817728 2171624532 2438315264 2481856608 2836407552 2895499376 3158726592 3309142144 3389852928 3657472896 4211635456 4343249064 4963713216 5790998752 6317453184 6618284288 7314945792 8686498128 9927426432 11581997504 12634906368 17372996256 19854852864 23163995008 34745992512 46327990016 69491985024 138983970048
• Sum of all divisors σ(n): 507341076480
• Sum of proper divisors (its aliquot sum) s(n): 368357106432
• 138983970048 is an abundant number, because the sum of its proper divisors (368357106432) is greater than itself. Its abundance is 229373136384

Bases of 138983970048

• Binary: 10000001011100000101110001010100000000₂
• Hexadecimal: 0x205C171500
• Base-36: 1RUJGTMO

Squares and roots of 138983970048

• 138983970048 squared (138983970048²) is 19316543930303361122304
• 138983970048 cubed (138983970048³) is 2684689963040158541776026800750592
• The square root of 138983970048 is 372805.5391863163
• The cube root of 138983970048 is 5179.9023307613

Scales and comparisons

• 138,983,970,048 seconds is equal to 4,419 years, 13 weeks, 3 days, 18 hours, 20 minutes, 48 seconds.
• To count from 1 to 138,983,970,048 would take you about eight thousand, eight hundred thirty-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 138983970048 cubic inches would be around 431.7 feet tall.

Recreational maths with 138983970048

• 138983970048 backwards is 840079389831
• The number of decimal digits it has is: 12
• The sum of 138983970048's digits is 60
• More coming soon!