13830134400

Names of 13830134400

• Cardinal: 13830134400 can be written as Thirteen billion, eight hundred thirty million, one hundred thirty-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.38301344 × 10¹⁰

Factors of 13830134400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 472

Divisors of 13830134400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 229 233 240 270 288 300 320 324 360 384 400 405 432 450 458 466 480 540 576 600 640 648 675 687 699 720 800 810 864 900 916 932 960 1080 1145 1152 1165 1200 1296 1350 1374 1398 1440 1600 1620 1728 1800 1832 1864 1920 2025 2061 2097 2160 2290 2330 2400 2592 2700 2748 2796 2880 3200 3240 3435 3456 3495 3600 3664 3728 4050 4122 4194 4320 4580 4660 4800 5184 5400 5496 5592 5725 5760 5825 6183 6291 6480 6870 6990 7200 7328 7456 8100 8244 8388 8640 9160 9320 9600 10305 10368 10485 10800 10992 11184 11450 11650 12366 12582 12960 13740 13980 14400 14656 14912 16200 16488 16776 17175 17280 17475 18320 18549 18640 18873 20610 20970 21600 21984 22368 22900 23300 24732 25164 25920 27480 27960 28800 29312 29824 30915 31455 32400 32976 33552 34350 34950 36640 37098 37280 37746 41220 41940 43200 43968 44736 45800 46600 49464 50328 51525 51840 52425 53357 54960 55920 61830 62910 64800 65952 67104 68700 69900 73280 74196 74560 75492 82440 83880 86400 87936 89472 91600 92745 93200 94365 98928 100656 103050 104850 106714 109920 111840 123660 125820 129600 131904 134208 137400 139800 146560 148392 149120 150984 154575 157275 160071 164880 167760 183200 185490 186400 188730 197856 201312 206100 209700 213428 219840 223680 247320 251640 259200 263808 266785 268416 274800 279600 296784 301968 309150 314550 320142 329760 335520 366400 370980 372800 377460 395712 402624 412200 419400 426856 439680 447360 463725 471825 480213 494640 503280 533570 549600 559200 593568 603936 618300 629100 640284 659520 671040 732800 741960 745600 754920 791424 800355 805248 824400 838800 853712 927450 943650 960426 989280 1006560 1067140 1099200 1118400 1187136 1207872 1236600 1258200 1280568 1319040 1333925 1342080 1440639 1483920 1509840 1600710 1648800 1677600 1707424 1854900 1887300 1920852 1978560 2013120 2134280 2198400 2236800 2374272 2401065 2415744 2473200 2516400 2561136 2667850 2881278 2967840 3019680 3201420 3297600 3355200 3414848 3709800 3774600 3841704 3957120 4001775 4026240 4268560 4321917 4802130 4946400 5032800 5122272 5335700 5762556 5935680 6039360 6402840 6595200 6710400 6829696 7203195 7419600 7549200 7683408 8003550 8537120 8643834 9604260 9892800 10065600 10244544 10671400 11525112 11871360 12005325 12078720 12805680 14406390 14839200 15098400 15366816 16007100 17074240 17287668 19208520 19785600 20131200 20489088 21342800 21609585 23050224 24010650 25611360 28812780 29678400 30196800 30733632 32014200 34148480 34575336 36015975 38417040 42685600 43219170 46100448 48021300 51222720 57625560 59356800 60393600 61467264 64028400 69150672 72031950 76834080 85371200 86438340 92200896 96042600 102445440 108047925 115251120 128056800 138301344 144063900 153668160 170742400 172876680 184401792 192085200 216095850 230502240 256113600 276602688 288127800 307336320 345753360 384170400 432191700 461004480 512227200 553205376 576255600 691506720 768340800 864383400 922008960 1152511200 1383013440 1536681600 1728766800 2305022400 2766026880 3457533600 4610044800 6915067200 13830134400
• Sum of all divisors σ(n): 51479099100
• Sum of proper divisors (its aliquot sum) s(n): 37648964700
• 13830134400 is an abundant number, because the sum of its proper divisors (37648964700) is greater than itself. Its abundance is 23818830300

Bases of 13830134400

• Binary: 1100111000010101110001101010000000₂
• Hexadecimal: 0x338571A80
• Base-36: 6CQ3S00

Squares and roots of 13830134400

• 13830134400 squared (13830134400²) is 191272617522063360000
• 13830134400 cubed (13830134400³) is 2645326007369931234115584000000
• The square root of 13830134400 is 117601.5918259613
• The cube root of 13830134400 is 2400.3549475025

Scales and comparisons

• 13,830,134,400 seconds is equal to 439 years, 39 weeks, 2 days.
• To count from 1 to 13,830,134,400 would take you about eight hundred seventy-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 13830134400 cubic inches would be around 200 feet tall.

Recreational maths with 13830134400

• 13830134400 backwards is 00443103831
• 13830134400 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 13830134400's digits is 27
• More coming soon!