138408842880

Names of 138408842880

• Cardinal: 138408842880 can be written as One hundred thirty-eight billion, four hundred eight million, eight hundred forty-two thousand, eight hundred eighty.

Scientific notation

• Scientific notation: 1.3840884288 × 10¹¹

Factors of 138408842880

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 285

Divisors of 138408842880

• Number of divisors d(n): 2048
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 20 21 22 24 27 28 29 30 32 33 34 35 36 40 42 44 45 48 51 54 55 56 58 60 63 64 66 68 70 72 77 80 84 85 87 88 90 96 99 102 105 108 110 112 116 119 120 126 128 132 135 136 140 144 145 153 154 160 165 168 170 174 176 180 187 189 192 198 203 204 210 211 216 220 224 231 232 238 240 252 255 261 264 270 272 280 288 290 297 306 308 315 319 320 330 336 340 348 352 357 360 374 378 384 385 396 406 408 420 422 432 435 440 448 459 462 464 476 480 493 495 504 510 522 528 540 544 560 561 576 580 594 595 609 612 616 630 633 638 640 660 672 680 693 696 704 714 720 748 756 765 770 783 792 812 816 840 844 864 870 880 896 918 924 928 935 945 952 957 960 986 990 1008 1015 1020 1044 1055 1056 1071 1080 1088 1120 1122 1152 1155 1160 1188 1190 1218 1224 1232 1260 1266 1276 1305 1309 1320 1344 1360 1386 1392 1408 1428 1440 1477 1479 1485 1496 1512 1530 1540 1566 1584 1595 1624 1632 1680 1683 1688 1728 1740 1760 1785 1827 1836 1848 1856 1870 1890 1899 1904 1914 1920 1972 1980 2016 2030 2040 2079 2088 2110 2112 2142 2160 2176 2233 2240 2244 2295 2310 2320 2321 2376 2380 2436 2448 2464 2465 2520 2532 2552 2610 2618 2640 2688 2720 2772 2784 2805 2856 2871 2880 2954 2958 2970 2992 3024 3045 3060 3080 3132 3165 3168 3190 3213 3248 3264 3360 3366 3376 3451 3456 3465 3480 3520 3570 3587 3654 3672 3696 3712 3740 3780 3798 3808 3828 3915 3927 3944 3960 4032 4060 4080 4158 4176 4220 4224 4284 4320 4431 4437 4466 4480 4488 4590 4620 4640 4642 4752 4760 4785 4872 4896 4928 4930 5040 5049 5064 5104 5220 5236 5280 5355 5423 5440 5481 5544 5568 5610 5697 5712 5742 5760 5908 5916 5940 5984 6048 6090 6119 6120 6160 6264 6330 6336 6380 6426 6496 6528 6545 6699 6720 6732 6752 6902 6930 6960 6963 7040 7140 7174 7308 7344 7385 7392 7395 7480 7560 7596 7616 7656 7830 7854 7888 7920 8064 8120 8160 8316 8352 8415 8440 8568 8613 8640 8862 8874 8932 8976 9135 9180 9240 9280 9284 9495 9504 9520 9570 9744 9792 9856 9860 10080 10098 10128 10208 10353 10395 10440 10472 10560 10710 10761 10846 10880 10962 11088 11136 11165 11220 11394 11424 11484 11605 11781 11816 11832 11880 11968 12096 12180 12238 12240 12320 12528 12660 12672 12760 12852 12992 13090 13293 13311 13398 13440 13464 13504 13804 13860 13920 13926 14280 14348 14355 14616 14688 14770 14784 14790 14960 15120 15192 15232 15312 15660 15708 15776 15840 16065 16240 16247 16269 16320 16632 16704 16830 16880 17136 17226 17255 17280 17724 17748 17864 17935 17952 18270 18357 18360 18480 18560 18568 18990 19008 19040 19140 19488 19584 19635 19720 20097 20160 20196 20256 20416 20706 20790 20880 20889 20944 21120 21420 21522 21692 21924 22155 22176 22185 22330 22440 22788 22848 22968 23210 23562 23632 23664 23760 23936 24192 24360 24476 24480 24640 25056 25109 25245 25320 25520 25704 25984 26180 26586 26622 26796 26928 27008 27115 27405 27608 27720 27840 27852 28485 28560 28696 28710 29232 29376 29540 29568 29580 29920 30240 30384 30595 30624 31059 31320 31416 31552 31680 32130 32283 32480 32494 32538 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74015424 74573730 74896560 75386080 75757440 77539968 78641388 79545312 80097710 81995760 82239360 82386216 84809340 85227120 86776704 87379320 88383680 89875872 90463296 91540240 92519280 93204608 93582720 93709440 96117252 96924960 98301735 99431640 99862080 101771208 102982770 104855184 105736320 106060416 108470880 109327680 109848288 112344840 113079120 113636160 116309952 116505760 119317968 119834496 120146565 123359040 123579324 127214010 128156336 129233280 131068980 131193216 132575520 135694944 136363392 137310360 139806912 140374080 144175878 144627840 145387440 146464384 148030848 149147460 149793120 150772160 154474155 157282776 159090624 160195420 163991520 164772432 169618680 170454240 174758640 176767360 179751744 180926592 183080480 185038560 192234504 193849920 196603470 198863280 199724160 203542416 205965540 209710368 216263817 216941760 218655360 219696576 224689680 226158240 227272320 232619904 233011520 238635936 240293130 246718080 247158648 254428020 256312672 262137960 265151040 271389888 274620720 279613824 280748160 288351756 290774880 298294920 299586240 301544320 308948310 314565552 318181248 320390840 327983040 329544864 339237360 340908480 349517280 359503488 360439695 366160960 370077120 384469008 387699840 393206940 397726560 407084832 411931080 419420736 432527634 433883520 439393152 449379360 452316480 466023040 477271872 480586260 494317296 508856040 512625344 524275920 530302080 542779776 549241440 576703512 581549760 596589840 599172480 617896620 629131104 640781680 655966080 659089728 678474720 681816960 699034560 720879390 732321920 740154240 768938016 786413880 795453120 814169664 823862160 838841472 865055268 898758720 904632960 954543744 961172520 988634592 1017712080 1025250688 1048551840 1081319085 1098482880 1153407024 1163099520 1193179680 1235793240 1258262208 1281563360 1318179456 1356949440 1398069120 1441758780 1537876032 1572827760 1590906240 1628339328 1647724320 1730110536 1797517440 1922345040 1977269184 2035424160 2097103680 2162638170 2196965760 2306814048 2386359360 2471586480 2516524416 2563126720 2713898880 2883517560 3075752064 3145655520 3295448640 3460221072 3844690080 3954538368 4070848320 4194207360 4325276340 4613628096 4772718720 4943172960 5126253440 5767035120 6291311040 6590897280 6920442144 7689380160 8141696640 8650552680 9227256192 9886345920 11534070240 12582622080 13840884288 15378760320 17301105360 19772691840 23068140480 27681768576 34602210720 46136280960 69204421440 138408842880
• Sum of all divisors σ(n): 672592896000
• Sum of proper divisors (its aliquot sum) s(n): 534184053120
• 138408842880 is an abundant number, because the sum of its proper divisors (534184053120) is greater than itself. Its abundance is 395775210240

Bases of 138408842880

• Binary: 10000000111001110011110101011010000000₂
• Hexadecimal: 0x2039CF5680
• Base-36: 1RL11UO0

Squares and roots of 138408842880

• 138408842880 squared (138408842880²) is 19157007787380526694400
• 138408842880 cubed (138408842880³) is 2651499280894487766016855375872000
• The square root of 138408842880 is 372033.3894692787
• The cube root of 138408842880 is 5172.7474977551

Scales and comparisons

• 138,408,842,880 seconds is equal to 4,400 years, 50 weeks, 4 days, 4 hours, 48 minutes.
• To count from 1 to 138,408,842,880 would take you about eight thousand, eight hundred one 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 138408842880 cubic inches would be around 431.1 feet tall.

Recreational maths with 138408842880

• 138408842880 backwards is 088248804831
• 138408842880 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138408842880's digits is 54
• More coming soon!