138369429120

Names of 138369429120

• Cardinal: 138369429120 can be written as One hundred thirty-eight billion, three hundred sixty-nine million, four hundred twenty-nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3836942912 × 10¹¹

Factors of 138369429120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1040

Divisors of 138369429120

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 67 78 80 96 97 104 120 128 130 134 156 160 192 194 195 201 208 240 260 268 291 312 320 335 384 388 390 402 416 480 485 520 536 582 624 640 670 776 780 804 832 853 871 960 970 1005 1040 1072 1164 1248 1261 1340 1455 1552 1560 1608 1664 1706 1742 1920 1940 2010 2080 2144 2328 2496 2522 2559 2613 2680 2910 3104 3120 3216 3412 3484 3783 3880 4020 4160 4265 4288 4355 4656 4992 5044 5118 5226 5360 5820 6208 6240 6305 6432 6499 6824 6968 7566 7760 8040 8320 8530 8576 8710 9312 10088 10236 10452 10720 11089 11640 12416 12480 12610 12795 12864 12998 13065 13648 13936 15132 15520 16080 17060 17420 18624 18915 19497 20176 20472 20904 21440 22178 23280 24960 25220 25590 25728 25996 26130 27296 27872 30264 31040 32160 32495 33267 34120 34840 37248 37830 38994 40352 40944 41808 42880 44356 46560 50440 51180 51992 52260 54592 55445 55744 57151 60528 62080 64320 64990 66534 68240 69680 75660 77988 80704 81888 82741 83616 84487 88712 93120 97485 100880 102360 103984 104520 109184 110890 111488 114302 121056 128640 129980 133068 136480 139360 151320 155976 161408 163776 165482 166335 167232 168974 171453 177424 186240 194970 201760 204720 207968 209040 221780 228604 242112 248223 253461 259960 266136 272960 278720 285755 302640 311952 327552 330964 332670 334464 337948 342906 354848 389940 403520 409440 413705 415936 418080 422435 443560 457208 484224 496446 506922 519920 532272 545920 557440 571510 605280 623904 661928 665340 675896 685812 709696 742963 779880 807040 818880 827410 831872 836160 844870 857265 887120 914416 992892 1013844 1039840 1064544 1075633 1143020 1210560 1241115 1247808 1267305 1323856 1330680 1351792 1371624 1419392 1485926 1559760 1637760 1654820 1672320 1689740 1714530 1774240 1828832 1985784 2027688 2079680 2129088 2151266 2228889 2286040 2421120 2482230 2495616 2534610 2647712 2661360 2703584 2743248 2971852 3119520 3226899 3309640 3379480 3429060 3548480 3657664 3714815 3971568 4055376 4159360 4258176 4302532 4457778 4572080 4964460 5069220 5295424 5322720 5378165 5407168 5486496 5543647 5943704 6239040 6453798 6619280 6758960 6858120 7096960 7315328 7429630 7943136 8110752 8605064 8915556 9144160 9928920 10138440 10590848 10645440 10756330 10814336 10972992 11087294 11144445 11887408 12478080 12907596 13238560 13517920 13716240 14859260 15886272 16134495 16221504 16630941 17210128 17831112 18288320 19857840 20276880 21290880 21512660 21945984 22174588 22288890 23774816 25815192 26477120 27035840 27432480 27718235 29718520 31772544 32268990 32443008 33261882 34420256 35662224 36576640 39715680 40553760 43025320 44349176 44577780 47549632 51630384 52954240 54071680 54864960 55436470 59437040 64537980 66523764 68840512 71324448 72067411 79431360 81107520 83154705 86050640 88698352 89155560 95099264 103260768 109729920 110872940 118874080 129075960 133047528 137681024 142648896 144134822 158862720 162215040 166309410 172101280 177396704 178311120 206521536 216202233 221745880 237748160 258151920 266095056 285297792 288269644 332618820 344202560 354793408 356622240 360337055 413043072 432404466 443491760 475496320 516303840 532190112 576539288 665237640 688405120 709586816 713244480 720674110 864808932 886983520 1032607680 1064380224 1081011165 1153078576 1330475280 1426488960 1441348220 1729617864 1773967040 2065215360 2128760448 2162022330 2306157152 2660950560 2882696440 3459235728 3547934080 4324044660 4612314304 5321901120 5765392880 6918471456 8648089320 9224628608 10643802240 11530785760 13836942912 17296178640 23061571520 27673885824 34592357280 46123143040 69184714560 138369429120
• Sum of all divisors σ(n): 487609678080
• Sum of proper divisors (its aliquot sum) s(n): 349240248960
• 138369429120 is an abundant number, because the sum of its proper divisors (349240248960) is greater than itself. Its abundance is 210870819840

Bases of 138369429120

• Binary: 10000000110111011101011110111010000000₂
• Hexadecimal: 0x203775EE80
• Base-36: 1RKDL2TC

Squares and roots of 138369429120

• 138369429120 squared (138369429120²) is 19146098914994703974400
• 138369429120 cubed (138369429120³) is 2649234776742868596761123094528000
• The square root of 138369429120 is 371980.4149683153
• The cube root of 138369429120 is 5172.2564482443

Scales and comparisons

• 138,369,429,120 seconds is equal to 4,399 years, 37 weeks, 3 days, 32 minutes.
• To count from 1 to 138,369,429,120 would take you about eight thousand, seven hundred ninety-nine 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 138369429120 cubic inches would be around 431 feet tall.

Recreational maths with 138369429120

• 138369429120 backwards is 021924963831
• 138369429120 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138369429120's digits is 48
• More coming soon!