138309120

Names of 138309120

• Cardinal: 138309120 can be written as One hundred thirty-eight million, three hundred nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3830912 × 10⁸

Factors of 138309120

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 62

Divisors of 138309120

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 29 30 32 36 40 45 46 48 54 58 60 64 69 72 80 81 87 90 92 96 108 115 116 120 128 135 138 144 145 160 162 174 180 184 192 207 216 230 232 240 256 261 270 276 288 290 320 324 345 348 360 368 384 405 414 432 435 460 464 480 512 522 540 552 576 580 621 640 648 667 690 696 720 736 768 783 810 828 864 870 920 928 960 1035 1044 1080 1104 1152 1160 1242 1280 1296 1305 1334 1380 1392 1440 1472 1536 1566 1620 1656 1728 1740 1840 1856 1863 1920 2001 2070 2088 2160 2208 2304 2320 2349 2484 2560 2592 2610 2668 2760 2784 2880 2944 3105 3132 3240 3312 3335 3456 3480 3680 3712 3726 3840 3915 4002 4140 4176 4320 4416 4608 4640 4698 4968 5184 5220 5336 5520 5568 5760 5888 6003 6210 6264 6480 6624 6670 6912 6960 7360 7424 7452 7680 7830 8004 8280 8352 8640 8832 9280 9315 9396 9936 10005 10368 10440 10672 11040 11136 11520 11745 11776 12006 12420 12528 12960 13248 13340 13824 13920 14720 14848 14904 15660 16008 16560 16704 17280 17664 18009 18560 18630 18792 19872 20010 20736 20880 21344 22080 22272 23040 23490 24012 24840 25056 25920 26496 26680 27840 29440 29808 30015 31320 32016 33120 33408 34560 35328 36018 37120 37260 37584 39744 40020 41472 41760 42688 44160 44544 46980 48024 49680 50112 51840 52992 53360 54027 55680 58880 59616 60030 62640 64032 66240 66816 69120 72036 74240 74520 75168 79488 80040 83520 85376 88320 90045 93960 96048 99360 100224 103680 105984 106720 108054 111360 119232 120060 125280 128064 132480 133632 144072 149040 150336 158976 160080 167040 170752 176640 180090 187920 192096 198720 200448 207360 213440 216108 222720 238464 240120 250560 256128 264960 270135 288144 298080 300672 317952 320160 334080 341504 360180 375840 384192 397440 400896 426880 432216 476928 480240 501120 512256 529920 540270 576288 596160 601344 640320 668160 720360 751680 768384 794880 853760 864432 953856 960480 1002240 1024512 1080540 1152576 1192320 1202688 1280640 1440720 1503360 1536768 1589760 1707520 1728864 1920960 2004480 2161080 2305152 2384640 2561280 2881440 3006720 3073536 3457728 3841920 4322160 4610304 4769280 5122560 5762880 6013440 6915456 7683840 8644320 9220608 11525760 13830912 15367680 17288640 23051520 27661824 34577280 46103040 69154560 138309120
• Sum of all divisors σ(n): 534742560
• Sum of proper divisors (its aliquot sum) s(n): 396433440
• 138309120 is an abundant number, because the sum of its proper divisors (396433440) is greater than itself. Its abundance is 258124320

Bases of 138309120

• Binary: 1000001111100110111000000000₂
• Hexadecimal: 0x83E6E00
• Base-36: 2ACG00

Squares and roots of 138309120

• 138309120 squared (138309120²) is 19129412675174400
• 138309120 cubed (138309120³) is 2645772233220217110528000
• The square root of 138309120 is 11760.4897857189
• The cube root of 138309120 is 517.1504886363

Scales and comparisons

• 138,309,120 seconds is equal to 4 years, 20 weeks, 4 days, 19 hours, 12 minutes.
• To count from 1 to 138,309,120 would take you about 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 138309120 cubic inches would be around 43.1 feet tall.

Recreational maths with 138309120

• 138309120 backwards is 021903831
• 138309120 is a Harshad number.
• The number of decimal digits it has is: 9
• The sum of 138309120's digits is 27
• More coming soon!