138327203840

Names of 138327203840

• Cardinal: 138327203840 can be written as One hundred thirty-eight billion, three hundred twenty-seven million, two hundred three thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3832720384 × 10¹¹

Factors of 138327203840

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 55

Divisors of 138327203840

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 49 56 64 70 80 82 98 112 128 140 160 164 196 205 224 245 256 280 287 320 328 392 410 448 490 512 560 574 640 656 784 820 896 980 1024 1120 1148 1280 1312 1435 1568 1640 1681 1792 1960 2009 2048 2240 2296 2560 2624 2870 3136 3280 3362 3584 3920 4018 4096 4480 4592 5120 5248 5740 6272 6560 6724 7168 7840 8036 8192 8405 8960 9184 10045 10240 10496 11480 11767 12544 13120 13448 14336 15680 16072 16810 17920 18368 20090 20480 20992 22960 23534 25088 26240 26896 28672 31360 32144 33620 35840 36736 40180 40960 41984 45920 47068 50176 52480 53792 57344 58835 62720 64288 67240 68921 71680 73472 80360 82369 83968 91840 94136 100352 104960 107584 117670 125440 128576 134480 137842 143360 146944 160720 164738 167936 183680 188272 200704 209920 215168 235340 250880 257152 268960 275684 286720 293888 321440 329476 335872 344605 367360 376544 401408 411845 419840 430336 470680 482447 501760 514304 537920 551368 587776 642880 658952 689210 734720 753088 823690 839680 860672 941360 964894 1003520 1028608 1075840 1102736 1175552 1285760 1317904 1378420 1469440 1506176 1647380 1679360 1721344 1882720 1929788 2007040 2057216 2151680 2205472 2351104 2412235 2571520 2635808 2756840 2938880 3012352 3294760 3377129 3442688 3765440 3859576 4114432 4303360 4410944 4824470 5143040 5271616 5513680 5877760 6024704 6589520 6754258 6885376 7530880 7719152 8228864 8606720 8821888 9648940 10286080 10543232 11027360 11755520 12049408 13179040 13508516 13770752 15061760 15438304 16457728 16885645 17213440 17643776 19297880 20572160 21086464 22054720 24098816 26358080 27017032 30123520 30876608 33771290 34426880 35287552 38595760 41144320 42172928 44109440 48197632 52716160 54034064 60247040 61753216 67542580 68853760 70575104 77191520 82288640 84345856 88218880 96395264 105432320 108068128 120494080 123506432 135085160 141150208 154383040 168691712 176437760 210864640 216136256 240988160 247012864 270170320 282300416 308766080 337383424 352875520 421729280 432272512 481976320 494025728 540340640 564600832 617532160 674766848 705751040 843458560 864545024 988051456 1080681280 1235064320 1411502080 1686917120 1729090048 1976102912 2161362560 2470128640 2823004160 3373834240 3458180096 3952205824 4322725120 4940257280 6916360192 8645450240 9880514560 13832720384 17290900480 19761029120 27665440768 34581800960 69163601920 138327203840
• Sum of all divisors σ(n): 395817342984
• Sum of proper divisors (its aliquot sum) s(n): 257490139144
• 138327203840 is an abundant number, because the sum of its proper divisors (257490139144) is greater than itself. Its abundance is 119162935304

Bases of 138327203840

• Binary: 10000000110100111100011010000000000000₂
• Hexadecimal: 0x2034F1A000
• Base-36: 1RJOG1KW

Squares and roots of 138327203840

• 138327203840 squared (138327203840²) is 19134415322192910745600
• 138327203840 cubed (138327203840³) is 2646810168632198040509537583104000
• The square root of 138327203840 is 371923.6532408231
• The cube root of 138327203840 is 5171.7302669971

Scales and comparisons

• 138,327,203,840 seconds is equal to 4,398 years, 19 weeks, 4 days, 7 hours, 17 minutes, 20 seconds.
• To count from 1 to 138,327,203,840 would take you about eight thousand, seven hundred ninety-six 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 138327203840 cubic inches would be around 431 feet tall.

Recreational maths with 138327203840

• 138327203840 backwards is 048302723831
• 138327203840 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138327203840's digits is 41
• More coming soon!