138414768128

Names of 138414768128

• Cardinal: 138414768128 can be written as One hundred thirty-eight billion, four hundred fourteen million, seven hundred sixty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38414768128 × 10¹¹

Factors of 138414768128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 209

Divisors of 138414768128

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 7 8 13 14 16 17 26 28 32 34 43 52 56 64 68 86 91 104 112 119 127 128 136 172 182 208 221 224 238 254 256 272 301 344 364 416 442 448 476 508 512 544 559 602 688 728 731 832 884 889 896 952 1016 1024 1088 1118 1204 1376 1456 1462 1547 1651 1664 1768 1778 1792 1904 2032 2048 2159 2176 2236 2408 2752 2912 2924 3094 3302 3328 3536 3556 3584 3808 3913 4064 4096 4318 4352 4472 4816 5117 5461 5504 5824 5848 6188 6604 6656 7072 7112 7168 7616 7826 8128 8192 8636 8704 8944 9503 9632 10234 10922 11008 11557 11648 11696 12376 13208 13312 14144 14224 14336 15113 15232 15652 16256 16384 17272 17408 17888 19006 19264 20468 21844 22016 23114 23296 23392 24752 26416 26624 28067 28288 28448 28672 30226 30464 31304 32512 34544 34816 35776 38012 38227 38528 40936 43688 44032 46228 46592 46784 49504 52832 53248 56134 56576 56896 57344 60452 60928 62608 65024 66521 69088 69632 70993 71552 76024 76454 77056 81872 87376 88064 92456 92837 93184 93568 99008 105664 106496 112268 113152 113792 114688 120904 121856 125216 130048 133042 138176 139264 141986 143104 152048 152908 154112 163744 174752 176128 184912 185674 186368 187136 196469 198016 211328 212992 224536 226304 227584 241808 243712 250432 260096 266084 276352 278528 283972 286208 304096 305816 308224 327488 349504 352256 369824 371348 372736 374272 392938 396032 422656 449072 452608 455168 483616 487424 496951 500864 520192 532168 552704 567944 572416 608192 611632 616448 649859 654976 699008 704512 739648 742696 745472 748544 785876 792064 845312 898144 905216 910336 967232 974848 993902 1001728 1040384 1064336 1105408 1135888 1144832 1206881 1216384 1223264 1232896 1299718 1309952 1398016 1479296 1485392 1490944 1497088 1571752 1584128 1690624 1796288 1810432 1820672 1934464 1949696 1987804 2003456 2080768 2128672 2210816 2271776 2289664 2413762 2432768 2446528 2465792 2599436 2619904 2796032 2958592 2970784 2994176 3143504 3168256 3381248 3592576 3620864 3641344 3868928 3975608 4006912 4257344 4421632 4543552 4579328 4827524 4865536 4893056 4931584 5198872 5239808 5592064 5917184 5941568 5988352 6287008 6336512 6762496 7185152 7282688 7737856 7951216 8013824 8448167 8514688 8843264 9087104 9158656 9655048 9731072 9786112 10397744 10479616 11184128 11834368 11883136 11976704 12574016 12673024 13524992 14370304 14565376 15475712 15902432 16027648 16896334 17029376 17686528 18174208 19310096 19462144 19572224 20795488 20959232 22368256 23668736 23766272 25148032 25346048 27049984 28740608 30951424 31804864 32055296 33792668 34058752 35373056 36348416 38620192 38924288 39144448 41590976 41918464 44736512 47337472 47532544 50296064 57481216 61902848 63609728 64110592 67585336 68117504 72696832 77240384 77848576 78288896 83181952 83836928 89473024 94674944 95065088 100592128 114962432 123805696 127219456 135170672 136235008 145393664 154480768 155697152 156577792 166363904 189349888 190130176 201184256 229924864 247611392 254438912 270341344 272470016 290787328 308961536 313155584 332727808 380260352 402368512 459849728 508877824 540682688 544940032 581574656 617923072 626311168 665455616 760520704 804737024 1017755648 1081365376 1089880064 1163149312 1235846144 1330911232 1521041408 1609474048 2035511296 2162730752 2471692288 2661822464 3218948096 4071022592 4325461504 4943384576 5323644928 8142045184 8650923008 9886769152 10647289856 17301846016 19773538304 34603692032 69207384064 138414768128
• Sum of all divisors σ(n): 372040187904
• Sum of proper divisors (its aliquot sum) s(n): 233625419776
• 138414768128 is an abundant number, because the sum of its proper divisors (233625419776) is greater than itself. Its abundance is 95210651648

Bases of 138414768128

• Binary: 10000000111010001010011100000000000000₂
• Hexadecimal: 0x203A29C000
• Base-36: 1RL4KUM8

Squares and roots of 138414768128

• 138414768128 squared (138414768128²) is 19158648035928004624384
• 138414768128 cubed (138414768128³) is 2651839825538937373385823094833152
• The square root of 138414768128 is 372041.3527123027
• The cube root of 138414768128 is 5172.8213113781

Scales and comparisons

• 138,414,768,128 seconds is equal to 4,401 years, 8 weeks, 2 days, 18 hours, 42 minutes, 8 seconds.
• To count from 1 to 138,414,768,128 would take you about eight thousand, eight hundred two 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 138414768128 cubic inches would be around 431.1 feet tall.

Recreational maths with 138414768128

• 138414768128 backwards is 821867414831
• The number of decimal digits it has is: 12
• The sum of 138414768128's digits is 53
• More coming soon!