4148960400

Names of 4148960400

• Cardinal: 4148960400 can be written as Four billion, one hundred forty-eight million, nine hundred sixty thousand, four hundred.

Scientific notation

• Scientific notation: 4.1489604 × 10⁹

Factors of 4148960400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1071

Divisors of 4148960400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 36 39 40 45 48 50 52 54 58 60 65 72 75 78 80 87 90 100 104 108 116 117 120 130 135 144 145 150 156 174 180 195 200 208 216 225 232 234 240 260 261 270 290 300 312 325 348 351 360 377 390 400 432 435 450 464 468 520 522 540 580 585 600 624 650 675 696 702 720 725 754 780 783 870 900 936 975 1019 1040 1044 1080 1131 1160 1170 1200 1300 1305 1350 1392 1404 1450 1508 1560 1566 1740 1755 1800 1872 1885 1950 2038 2088 2160 2175 2262 2320 2340 2600 2610 2700 2808 2900 2925 3016 3057 3120 3132 3393 3480 3510 3600 3770 3900 3915 4076 4176 4350 4524 4680 5095 5200 5220 5400 5616 5655 5800 5850 6032 6114 6264 6525 6786 6960 7020 7540 7800 7830 8152 8700 8775 9048 9171 9360 9425 10179 10190 10440 10800 11310 11600 11700 12228 12528 13050 13247 13572 14040 15080 15285 15600 15660 16304 16965 17400 17550 18096 18342 18850 19575 20358 20380 20880 22620 23400 24456 25475 26100 26494 27144 27513 28080 28275 29551 30160 30570 31320 33930 34800 35100 36684 37700 39150 39741 40716 40760 45240 45855 46800 48912 50895 50950 52200 52988 54288 55026 56550 59102 61140 62640 66235 67860 70200 73368 75400 76425 78300 79482 81432 81520 84825 88653 90480 91710 101790 101900 104400 105976 110052 113100 118204 119223 122280 132470 135720 137565 140400 146736 147755 150800 152850 156600 158964 162864 169650 177306 183420 198705 203580 203800 211952 220104 226200 229275 236408 238446 244560 254475 264940 265959 271440 275130 295510 305700 313200 317928 331175 339300 354612 357669 366840 384163 397410 407160 407600 440208 443265 452400 458550 472816 476892 508950 529880 531918 550260 591020 596115 611400 635856 662350 678600 687825 709224 715338 733680 738775 768326 794820 797877 814320 886530 917100 953784 993525 1017900 1059760 1063836 1100520 1152489 1182040 1192230 1222800 1324700 1329795 1357200 1375650 1418448 1430676 1477550 1536652 1589640 1595754 1773060 1788345 1834200 1907568 1920815 1987050 2035800 2127672 2201040 2216325 2304978 2364080 2384460 2649400 2659590 2751300 2861352 2955100 2980575 3073304 3179280 3191508 3457467 3546120 3576690 3668400 3841630 3974100 3989385 4071600 4255344 4432650 4609956 4768920 5298800 5319180 5502600 5722704 5762445 5910200 5961150 6146608 6383016 6648975 6914934 7092240 7153380 7683260 7948200 7978770 8865300 8941725 9219912 9537840 9604075 10372401 10638360 11005200 11524890 11820400 11922300 12766032 13297950 13829868 14306760 15366520 15896400 15957540 17287335 17730600 17883450 18439824 19208150 19946925 20744802 21276720 23049780 23844600 26595900 27659736 28613520 28812225 30733040 31915080 34574670 35461200 35766900 38416300 39893850 41489604 46099560 47689200 51862005 53191800 55319472 57624450 63830160 69149340 71533800 76832600 79787700 82979208 86436675 92199120 103724010 106383600 115248900 138298680 143067600 153665200 159575400 165958416 172873350 207448020 230497800 259310025 276597360 319150800 345746700 414896040 460995600 518620050 691493400 829792080 1037240100 1382986800 2074480200 4148960400
• Sum of all divisors σ(n): 16467696000
• Sum of proper divisors (its aliquot sum) s(n): 12318735600
• 4148960400 is an abundant number, because the sum of its proper divisors (12318735600) is greater than itself. Its abundance is 8169775200

Bases of 4148960400

• Binary: 11110111010011000001110010010000₂
• Hexadecimal: 0xF74C1C90
• Base-36: 1WM6MC0

Squares and roots of 4148960400

• 4148960400 squared (4148960400²) is 17213872400768160000
• 4148960400 cubed (4148960400³) is 71419674921440025420864000000
• The square root of 4148960400 is 64412.4242673725
• The cube root of 4148960400 is 1606.8663763121

Scales and comparisons

• 4,148,960,400 seconds is equal to 131 years, 48 weeks, 9 hours.
• To count from 1 to 4,148,960,400 would take you about two hundred sixty-three 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 4148960400 cubic inches would be around 133.9 feet tall.

Recreational maths with 4148960400

• 4148960400 backwards is 0040698414
• 4148960400 is a Harshad number.
• The number of decimal digits it has is: 10
• The sum of 4148960400's digits is 36
• More coming soon!