138633214720

Names of 138633214720

• Cardinal: 138633214720 can be written as One hundred thirty-eight billion, six hundred thirty-three million, two hundred fourteen thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 1.3863321472 × 10¹¹

Factors of 138633214720

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 108

Divisors of 138633214720

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 29 32 35 40 41 44 49 52 55 56 58 64 65 70 77 80 82 88 91 98 104 110 112 116 128 130 140 143 145 154 160 164 169 176 182 196 203 205 208 220 224 232 245 256 260 280 286 287 290 308 319 320 328 338 352 364 377 385 392 406 410 416 440 448 451 455 464 490 520 533 539 560 572 574 580 616 637 638 640 656 676 704 715 728 754 770 784 812 820 832 845 880 896 902 910 928 980 1001 1015 1040 1066 1078 1120 1144 1148 1160 1183 1189 1232 1274 1276 1280 1312 1352 1408 1421 1430 1435 1456 1508 1540 1568 1595 1624 1640 1664 1690 1760 1792 1804 1820 1856 1859 1885 1960 2002 2009 2030 2080 2132 2156 2233 2240 2255 2288 2296 2320 2366 2378 2464 2548 2552 2624 2639 2665 2695 2704 2816 2842 2860 2870 2912 3016 3080 3136 3157 3185 3190 3248 3280 3328 3380 3520 3608 3640 3712 3718 3731 3770 3920 4004 4018 4060 4147 4160 4264 4312 4466 4480 4510 4576 4592 4640 4732 4756 4901 4928 5005 5096 5104 5248 5278 5330 5390 5408 5684 5720 5740 5824 5863 5915 5945 6032 6160 6272 6314 6370 6380 6496 6560 6760 6929 7007 7040 7105 7216 7280 7424 7436 7462 7540 7840 8008 8036 8120 8281 8294 8320 8323 8528 8624 8932 8960 9020 9152 9184 9280 9295 9464 9512 9802 9856 10010 10045 10192 10208 10496 10556 10660 10780 10816 11165 11368 11440 11480 11648 11726 11830 11890 12064 12320 12544 12628 12740 12760 12992 13013 13079 13120 13195 13520 13858 14014 14080 14210 14432 14560 14872 14924 15080 15457 15631 15680 15785 16016 16072 16240 16562 16588 16640 16646 17056 17248 17864 18040 18304 18368 18473 18560 18590 18655 18928 19024 19604 19712 20020 20090 20384 20416 20735 21112 21320 21560 21632 22099 22330 22736 22880 22960 23296 23452 23660 23780 24128 24505 24640 25256 25480 25520 25984 26026 26117 26158 26240 26390 27040 27716 28028 28420 28864 29029 29120 29315 29744 29848 30160 30914 31262 31360 31570 32032 32144 32480 33124 33176 33292 34112 34307 34496 34645 35035 35728 36080 36608 36736 36946 37120 37180 37310 37856 38048 39208 40040 40180 40768 40832 41041 41405 41470 41615 42224 42640 43120 43264 44198 44660 45472 45760 45920 46904 47320 47560 48256 48503 49010 49280 50512 50960 51040 51968 52052 52234 52316 52480 52780 53911 54080 55432 56056 56840 57728 58058 58240 58261 58630 59488 59696 60320 61828 62524 62720 63140 64064 64288 64960 65065 65395 66248 66352 66584 68224 68614 68992 69290 70070 71456 72160 73472 73892 74360 74620 75712 76096 76219 77285 78155 78416 80080 80360 81536 81664 82082 82810 82940 83230 84448 85280 86240 88396 89320 90944 91091 91520 91553 91840 92365 93808 94640 95120 96512 97006 98020 98560 101024 101920 102080 104104 104468 104632 105560 107822 108160 108199 110495 110864 112112 113680 115456 116116 116480 116522 117260 118976 119392 120640 123656 125048 126280 128128 128576 129920 130130 130585 130790 132496 132704 133168 136448 137228 137984 138580 140140 142912 144320 145145 147784 148720 149240 151424 152192 152438 154570 156310 156832 160160 160720 163072 164164 165620 165880 166460 168896 170027 170560 171535 172480 176792 178640 181888 182182 183040 183106 183680 184730 187616 189280 190240 194012 196040 200941 202048 203203 203840 204160 205205 208208 208936 209264 211120 215644 216320 216398 220990 221728 224224 227360 232232 233044 234520 237952 238784 240149 241280 242515 247312 250096 252560 256256 257152 259840 260260 261170 261580 264992 265408 266336 269555 274456 277160 280280 285824 287287 288640 290290 291305 295568 297440 298480 302848 304384 304876 309140 312620 313664 320320 321440 328328 331240 331760 332920 337792 339521 340054 341120 343070 344960 353584 357280 363776 364364 366212 367360 369460 375232 377377 378560 380480 381095 388024 392080 401882 404096 406406 407680 408320 410410 416416 417872 418528 422240 431288 432796 441980 443456 448448 454720 455455 457765 464464 466088 469040 475904 477568 480298 482560 485030 494624 500192 505120 514304 520520 522340 523160 529984 530816 532672 533533 539110 540995 548912 554320 560560 571648 574574 577280 580580 582610 591136 594880 596960 609752 618280 625240 627328 640640 640871 642880 656656 662480 663520 665840 675584 679042 680108 682240 686140 689920 707168 714560 728728 732424 738920 750464 754754 757120 757393 760960 762190 776048 784160 803764 808192 812812 815360 820820 832832 835744 837056 844480 850135 862576 865592 883960 886912 896896 909440 910910 915530 928928 932176 938080 955136 960596 970060 989248 1000384 1004705 1010240 1016015 1041040 1044680 1046320 1059968 1061632 1065344 1067066 1078220 1081990 1097824 1108640 1121120 1149148 1161160 1165220 1182272 1189760 1190189 1193920 1200745 1219504 1236560 1250480 1254656 1281280 1281742 1285760 1313312 1324960 1327040 1331680 1358084 1360216 1372280 1406587 1414336 1429120 1436435 1457456 1464848 1477840 1500928 1509508 1514240 1514786 1521920 1524380 1552096 1568320 1607528 1625624 1641640 1665664 1671488 1674112 1688960 1697605 1700270 1725152 1731184 1767920 1773824 1793792 1818880 1821820 1831060 1857856 1864352 1876160 1886885 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6502496 6566560 6685952 6790420 6801080 6900608 6924736 7032935 7071680 7287280 7324240 7431424 7457408 7469462 7504640 7547540 7573930 7684768 7760480 8037640 8128120 8328320 8331323 8357440 8370560 8536528 8625760 8655920 8782592 8841404 8869120 8968960 9193184 9289280 9321760 9521512 9605960 9756032 9846109 9892480 10003840 10253936 10506496 10566556 10599680 10653440 10670660 10864672 10881728 10978240 11051755 11252696 11491480 11659648 11718784 11822720 11901890 12076064 12118288 12195040 12416768 12817420 12860224 13004992 13133120 13208195 13580840 13602160 13801216 13849472 14065870 14143360 14574560 14648480 14914816 14938924 15095080 15147860 15369536 15472457 15520960 16075280 16256240 16656640 16662646 16714880 16741120 17073056 17251520 17311840 17682808 18386368 18578560 18643520 18673655 19043024 19211920 19512064 19692218 19784960 20007680 20507872 21133112 21341320 21729344 21763456 21956480 22103510 22505392 22982960 23319296 23437568 23645440 23803780 24152128 24236576 24390080 25634840 25720448 26009984 26266240 26416390 27161680 27204320 27698944 28131740 28286720 29149120 29296960 29877848 30190160 30295720 30739072 30944914 31041920 32150560 32512480 33325292 33429760 34146112 34503040 34623680 35365616 36772736 37157120 37287040 37347310 38086048 38423840 39384436 41015744 41656615 42266224 42682640 43458688 43526912 43912960 44207020 45010784 45965920 47607560 48304256 48473152 48780160 49230545 51269680 51440896 52019968 52532480 52832780 54323360 54408640 56263480 58298240 58593920 59755696 60380320 60591440 61478144 61889828 62083840 64301120 65024960 66650584 68292224 69006080 69247360 70731232 73545472 74574080 74694620 76172096 76847680 77362285 78768872 82031488 83313230 84532448 85365280 86917376 88414040 90021568 91931840 95215120 96608512 96946304 97560320 98461090 102539360 105665560 108307199 108646720 108817280 112526960 116596480 117187840 119511392 120760640 121182880 123779656 128602240 130049920 133301168 136584448 138494720 141462464 149389240 152344192 153695360 154724570 157537744 164062976 166626460 169064896 170730560 176828080 180043136 183863680 190430240 193892608 196922180 205078720 211331120 216614398 217293440 217634560 225053920 239022784 241521280 242365760 247559312 257204480 260099840 266602336 282924928 298778480 304688384 307390720 309449140 315075488 333252920 338129792 341461120 353656160 360086272 367727360 380860480 393844360 410157440 422662240 433228796 434586880 450107840 478045568 483042560 484731520 495118624 533204672 541535995 565849856 597556960 618898280 630150976 666505840 676259584 682922240 707312320 761720960 787688720 820314880 845324480 866457592 900215680 956091136 969463040 990237248 1066409344 1083071990 1195113920 1237796560 1260301952 1333011680 1414624640 1523441920 1575377440 1690648960 1732915184 1800431360 1980474496 2132818688 2166143980 2390227840 2475593120 2520603904 2666023360 2829249280 3150754880 3381297920 3465830368 3960948992 4332287960 4780455680 4951186240 5332046720 6301509760 6931660736 8664575920 9902372480 10664093440 12603019520 13863321472 17329151840 19804744960 27726642944 34658303680 69316607360 138633214720
• Sum of all divisors σ(n): 483559463520
• Sum of proper divisors (its aliquot sum) s(n): 344926248800
• 138633214720 is an abundant number, because the sum of its proper divisors (344926248800) is greater than itself. Its abundance is 206293034080

Bases of 138633214720

• Binary: 10000001000111001011101111101100000000₂
• Hexadecimal: 0x20472EFB00
• Base-36: 1ROQMX34

Squares and roots of 138633214720

• 138633214720 squared (138633214720²) is 19219168223601624678400
• 138633214720 cubed (138633214720³) is 2664415075082365005781478146048000
• The square root of 138633214720 is 372334.8153476921
• The cube root of 138633214720 is 5175.5411349773

Scales and comparisons

• 138,633,214,720 seconds is equal to 4,408 years, 5 weeks, 4 days, 2 hours, 18 minutes, 40 seconds.
• To count from 1 to 138,633,214,720 would take you about eight thousand, eight hundred sixteen 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 138633214720 cubic inches would be around 431.3 feet tall.

Recreational maths with 138633214720

• 138633214720 backwards is 027412336831
• 138633214720 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138633214720's digits is 40
• More coming soon!