138368960374400

Names of 138368960374400

• Cardinal: 138368960374400 can be written as One hundred thirty-eight trillion, three hundred sixty-eight billion, nine hundred sixty million, three hundred seventy-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.383689603744 × 10¹⁴

Factors of 138368960374400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 5770

Divisors of 138368960374400

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 103 112 128 140 160 175 200 206 224 280 320 350 400 412 448 515 560 640 700 721 800 824 896 1030 1120 1400 1442 1600 1648 2060 2240 2575 2800 2884 3200 3296 3605 4120 4480 5150 5600 5653 5768 6592 7210 8240 10300 10609 11200 11306 11536 13184 14420 16480 18025 20600 21218 22400 22612 23072 28265 28840 32960 36050 39571 41200 42436 45224 46144 53045 56530 57680 65920 72100 74263 79142 82400 84872 90448 92288 106090 113060 115360 141325 144200 148526 158284 164800 169744 180896 197855 212180 226120 230720 265225 282650 288400 297052 316568 329600 339488 361792 371315 395710 424360 452240 461440 530450 565300 576800 582259 594104 633136 678976 723584 742630 791420 848720 904480 989275 1060900 1092727 1130600 1153600 1164518 1188208 1266272 1357952 1485260 1582840 1697440 1808960 1856575 1978550 2121800 2185454 2261200 2307200 2329036 2376416 2532544 2911295 2970520 3165680 3394880 3617920 3713150 3957100 4075813 4243600 4370908 4522400 4658072 4752832 5065088 5463635 5822590 5941040 6331360 6789760 7426300 7649089 7914200 8151626 8487200 8741816 9044800 9316144 9505664 10927270 11645180 11882080 12662720 14556475 14852600 15298178 15828400 16303252 16974400 17483632 18089600 18632288 20379065 21854540 23290360 23764160 25325440 27318175 29112950 29705200 30596356 31656800 32606504 33948800 34967264 37264576 38245445 40758130 43709080 46580720 47528320 54636350 58225900 59410400 59972677 61192712 63313600 65213008 69934528 74529152 76490890 81516260 87418160 93161440 101895325 109272700 116451800 118820800 119945354 122385424 126627200 130426016 139869056 152981780 163032520 174836320 186322880 191227225 203790650 218545400 232903600 237641600 239890708 244770848 260852032 299863385 305963560 326065040 349672640 372645760 382454450 407581300 419808739 437090800 465807200 479781416 489541696 521704064 599726770 611927120 652130080 699345280 764908900 815162600 839617478 874181600 931614400 959562832 979083392 1199453540 1223854240 1304260160 1499316925 1529817800 1630325200 1679234956 1748363200 1863228800 1919125664 2099043695 2398907080 2447708480 2608520320 2998633850 3059635600 3260650400 3358469912 3496726400 3838251328 4198087390 4797814160 4895416960 5997267700 6119271200 6177185731 6521300800 6716939824 7676502656 8396174780 9595628320 10495218475 11994535400 12238542400 12354371462 13042601600 13433879648 16792349560 19191256640 20990436950 23989070800 24477084800 24708742924 26867759296 30885928655 33584699120 38382513280 41980873900 43240300117 47978141600 49417485848 53735518592 61771857310 67169398240 83961747800 86480600234 95956283200 98834971696 123543714620 134338796480 154429643275 167923495600 172961200468 191912566400 197669943392 216201500585 247087429240 268677592960 308859286550 335846991200 345922400936 395339886784 432403001170 494174858480 617718573100 671693982400 691844801872 790679773568 864806002340 988349716960 1081007502925 1235437146200 1343387964800 1383689603744 1729612004680 1976699433920 2162015005850 2470874292400 2767379207488 3459224009360 3953398867840 4324030011700 4941748584800 5534758414976 6918448018720 8648060023400 9883497169600 13836896037440 17296120046800 19766994339200 27673792074880 34592240093600 69184480187200 138368960374400
• Sum of all divisors σ(n): 394544858822400
• Sum of proper divisors (its aliquot sum) s(n): 256175898448000
• 138368960374400 is an abundant number, because the sum of its proper divisors (256175898448000) is greater than itself. Its abundance is 117806938073600

Bases of 138368960374400

• Binary: 11111011101100010001000101110110010011010000000₂
• Hexadecimal: 0x7DD888BB2680
• Base-36: 1D1PTMFCE8

Squares and roots of 138368960374400

• 138368960374400 squared (138368960374400²) is 19145969195092277388175360000
• 138368960374400 cubed (138368960374400³) is 2649207852885206392875889514958454784000000
• The square root of 138368960374400 is 11763033.6382414551
• The cube root of 138368960374400 is 51722.5060765949

Scales and comparisons

• 138,368,960,374,400 seconds is equal to 4,399,704 years, 48 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
• To count from 1 to 138,368,960,374,400 would take you about ten million, nine hundred ninety-nine thousand, two hundred sixty-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 138368960374400 cubic inches would be around 4310.2 feet tall.

Recreational maths with 138368960374400

• 138368960374400 backwards is 004473069863831
• The number of decimal digits it has is: 15
• The sum of 138368960374400's digits is 62
• More coming soon!