13838630400

Names of 13838630400

• Cardinal: 13838630400 can be written as Thirteen billion, eight hundred thirty-eight million, six hundred thirty thousand, four hundred.

Scientific notation

• Scientific notation: 1.38386304 × 10¹⁰

Factors of 13838630400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 148

Divisors of 13838630400

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 126 128 131 140 144 150 160 168 175 180 192 200 210 224 225 240 252 256 262 280 288 300 315 320 336 350 360 384 393 400 420 448 450 480 504 512 524 525 560 576 600 630 640 655 672 700 720 768 786 800 840 896 900 917 960 1008 1048 1050 1120 1152 1179 1200 1260 1280 1310 1344 1400 1440 1536 1572 1575 1600 1680 1792 1800 1834 1920 1965 2016 2096 2100 2240 2304 2358 2400 2520 2560 2620 2688 2751 2800 2880 3144 3150 3200 3275 3360 3584 3600 3668 3840 3930 4032 4192 4200 4480 4585 4608 4716 4800 5040 5240 5376 5502 5600 5760 5895 6288 6300 6400 6550 6720 7200 7336 7680 7860 8064 8253 8384 8400 8960 9170 9432 9600 9825 10080 10480 10752 11004 11200 11520 11790 12576 12600 12800 13100 13440 13755 14400 14672 15720 16128 16506 16768 16800 17161 17920 18340 18864 19200 19650 20160 20960 22008 22400 22925 23040 23580 25152 25200 26200 26880 27510 28800 29344 29475 31440 32256 33012 33536 33600 34322 36680 37728 38400 39300 40320 41265 41920 44016 44800 45850 47160 50304 50400 51483 52400 53760 55020 57600 58688 58950 62880 66024 67072 67200 68644 68775 73360 75456 78600 80640 82530 83840 85805 88032 89600 91700 94320 100608 100800 102966 104800 110040 115200 117376 117900 120127 125760 132048 134400 137288 137550 146720 150912 154449 157200 161280 165060 167680 171610 176064 183400 188640 201216 201600 205932 206325 209600 220080 234752 235800 240254 251520 257415 264096 268800 274576 275100 293440 301824 308898 314400 330120 335360 343220 352128 360381 366800 377280 403200 411864 412650 419200 429025 440160 469504 471600 480508 503040 514830 528192 549152 550200 586880 600635 603648 617796 628800 660240 686440 704256 720762 733600 754560 772245 806400 823728 825300 838400 858050 880320 943200 961016 1006080 1029660 1056384 1081143 1098304 1100400 1173760 1201270 1235592 1257600 1287075 1320480 1372880 1408512 1441524 1467200 1509120 1544490 1647456 1650600 1676800 1716100 1760640 1801905 1886400 1922032 2059320 2112768 2162286 2196608 2200800 2347520 2402540 2471184 2515200 2574150 2640960 2745760 2883048 2934400 3003175 3018240 3088980 3294912 3301200 3432200 3521280 3603810 3772800 3844064 3861225 4118640 4225536 4324572 4393216 4401600 4805080 4942368 5030400 5148300 5281920 5405715 5491520 5766096 5868800 6006350 6177960 6589824 6602400 6864400 7042560 7207620 7545600 7688128 7722450 8237280 8649144 8786432 8803200 9009525 9610160 9884736 10296600 10563840 10811430 10983040 11532192 11737600 12012700 12355920 13179648 13204800 13728800 14415240 15091200 15376256 15444900 16474560 17298288 17606400 18019050 19220320 19769472 20593200 21127680 21622860 21966080 23064384 24025400 24711840 26359296 26409600 27028575 27457600 28830480 30752512 30889800 32949120 34596576 35212800 36038100 38440640 39538944 41186400 43245720 43932160 46128768 48050800 49423680 52819200 54057150 54915200 57660960 61505024 61779600 65898240 69193152 72076200 76881280 79077888 82372800 86491440 92257536 96101600 98847360 105638400 108114300 109830400 115321920 123559200 131796480 138386304 144152400 153762560 164745600 172982880 184515072 192203200 197694720 216228600 219660800 230643840 247118400 276772608 288304800 307525120 329491200 345965760 384406400 395389440 432457200 461287680 494236800 553545216 576609600 658982400 691931520 768812800 864914400 922575360 988473600 1153219200 1383863040 1537625600 1729828800 1976947200 2306438400 2767726080 3459657600 4612876800 6919315200 13838630400
• Sum of all divisors σ(n): 57034942536
• Sum of proper divisors (its aliquot sum) s(n): 43196312136
• 13838630400 is an abundant number, because the sum of its proper divisors (43196312136) is greater than itself. Its abundance is 29357681736

Bases of 13838630400

• Binary: 1100111000110110001011111000000000₂
• Hexadecimal: 0x338D8BE00
• Base-36: 6CV5VK0

Squares and roots of 13838630400

• 13838630400 squared (13838630400²) is 191507691347804160000
• 13838630400 cubed (13838630400³) is 2650204159319539621822464000000
• The square root of 13838630400 is 117637.7082401727
• The cube root of 13838630400 is 2400.8463681569

Scales and comparisons

• 13,838,630,400 seconds is equal to 440 years, 1 week, 2 days, 8 hours.
• To count from 1 to 13,838,630,400 would take you about eight hundred eighty 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 13838630400 cubic inches would be around 200.1 feet tall.

Recreational maths with 13838630400

• 13838630400 backwards is 00403683831
• 13838630400 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 13838630400's digits is 36
• More coming soon!