1338384320

Names of 1338384320

• Cardinal: 1338384320 can be written as One billion, three hundred thirty-eight million, three hundred eighty-four thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.33838432 × 10⁹

Factors of 1338384320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 146

Divisors of 1338384320

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 19 20 26 28 32 35 38 40 41 52 56 59 64 65 70 76 80 82 91 95 104 112 118 130 133 140 152 160 164 182 190 205 208 224 236 247 260 266 280 287 295 304 320 328 364 380 410 413 416 448 455 472 494 520 532 533 560 574 590 608 656 665 728 760 767 779 820 826 832 910 944 988 1040 1064 1066 1120 1121 1148 1180 1216 1235 1312 1330 1435 1456 1520 1534 1558 1640 1652 1729 1820 1888 1976 2065 2080 2128 2132 2240 2242 2296 2360 2419 2470 2624 2660 2665 2870 2912 3040 3068 3116 3280 3304 3458 3640 3731 3776 3835 3895 3952 4130 4160 4256 4264 4484 4592 4720 4838 4940 5320 5330 5369 5453 5605 5740 5824 6080 6136 6232 6560 6608 6916 7280 7462 7670 7790 7847 7904 8260 8512 8528 8645 8968 9184 9440 9676 9880 10127 10640 10660 10738 10906 11210 11480 12095 12272 12464 13120 13216 13832 14560 14573 14924 15340 15580 15694 15808 16520 16933 17056 17290 17936 18368 18655 18880 19352 19760 20254 21280 21320 21476 21812 22420 22960 24190 24544 24928 26432 26845 27265 27664 29120 29146 29848 30680 31160 31388 31447 33040 33866 34112 34580 35872 37310 38704 39235 39520 40508 42560 42640 42952 43624 44840 45920 45961 48380 49088 49856 50635 53690 54530 55328 58292 59696 61360 62320 62776 62894 66080 67732 69160 70889 71744 72865 74620 77408 78470 79040 81016 84665 85280 85904 87248 89680 91840 91922 96760 101270 102011 107380 109060 110656 116584 119392 122720 124640 125552 125788 132160 135464 138320 141778 145730 149240 154816 156940 157235 162032 169330 170560 171808 174496 179360 183844 193520 202540 204022 214760 218120 220129 229805 233168 238784 245440 249280 251104 251576 270928 276640 283556 291460 298480 313880 314470 321727 324064 338660 343616 348992 354445 358720 367688 387040 405080 408044 429520 436240 440258 459610 466336 502208 503152 510055 541856 553280 567112 582920 596960 597493 627760 628940 643454 648128 677320 708890 735376 774080 810160 816088 859040 872480 880516 919220 932672 1006304 1020110 1083712 1100645 1134224 1165840 1193920 1194986 1255520 1257880 1286908 1354640 1417780 1470752 1608635 1620320 1632176 1718080 1744960 1761032 1838440 2012608 2040220 2201290 2268448 2331680 2389972 2511040 2515760 2573816 2709280 2835560 2941504 2987465 3217270 3240640 3264352 3522064 3676880 4080440 4182451 4402580 4536896 4663360 4779944 5031520 5147632 5418560 5671120 5974930 6434540 6528704 7044128 7353760 8160880 8364902 8805160 9559888 10063040 10295264 11342240 11949860 12869080 14088256 14707520 16321760 16729804 17610320 19119776 20590528 20912255 22684480 23899720 25738160 32643520 33459608 35220640 38239552 41824510 47799440 51476320 66919216 70441280 83649020 95598880 102952640 133838432 167298040 191197760 267676864 334596080 669192160 1338384320
• Sum of all divisors σ(n): 4301337600
• Sum of proper divisors (its aliquot sum) s(n): 2962953280
• 1338384320 is an abundant number, because the sum of its proper divisors (2962953280) is greater than itself. Its abundance is 1624568960

Bases of 1338384320

• Binary: 1001111110001100001111111000000₂
• Hexadecimal: 0x4FC61FC0
• Base-36: M4U7Y8

Squares and roots of 1338384320

• 1338384320 squared (1338384320²) is 1791272588021862400
• 1338384320 cubed (1338384320³) is 2397411144654280453357568000
• The square root of 1338384320 is 36583.9352721929
• The cube root of 1338384320 is 1102.0304975185

Scales and comparisons

• 1,338,384,320 seconds is equal to 42 years, 28 weeks, 6 days, 13 hours, 25 minutes, 20 seconds.
• To count from 1 to 1,338,384,320 would take you about eighty-five 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 1338384320 cubic inches would be around 91.8 feet tall.

Recreational maths with 1338384320

• 1338384320 backwards is 0234838331
• 1338384320 is a Harshad number.
• The number of decimal digits it has is: 10
• The sum of 1338384320's digits is 35
• More coming soon!