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14024214223140 = 223511191118358391
BaseRepresentation
bin1100110000010100010001…
…0011101001100100100100
31211122200221121020221100210
43030011010103221210210
53314233042320120030
645454345101535420
72645134050014232
oct314050423514444
954580847227323
1014024214223140
1145176aa355950
1216a5ba0b74570
137a9629747434
14366ac030d952
15194c06b07bb0
hexcc1444e9924

14024214223140 has 96 divisors (see below), whose sum is σ = 45092210365440. Its totient is φ = 3220872163200.

The previous prime is 14024214223111. The next prime is 14024214223193. The reversal of 14024214223140 is 4132241242041.

It is a super-2 number, since 2×140242142231402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14024214223098 and 14024214223107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559166656 + ... + 559191735.

It is an arithmetic number, because the mean of its divisors is an integer number (469710524640).

Almost surely, 214024214223140 is an apocalyptic number.

14024214223140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14024214223140 is an abundant number, since it is smaller than the sum of its proper divisors (31067996142300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14024214223140 is a wasteful number, since it uses less digits than its factorization.

14024214223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118358433 (or 1118358431 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14024214223140 its reverse (4132241242041), we get a palindrome (18156455465181).

The spelling of 14024214223140 in words is "fourteen trillion, twenty-four billion, two hundred fourteen million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 1118358391 2236716782 3355075173 4473433564 5591791955 6710150346 11183583910 12301942301 13420300692 16775375865 21248809429 22367167820 24603884602 33550751730 36905826903 42497618858 49207769204 61509711505 63746428287 67101503460 73811653806 84995237716 106244047145 123019423010 127492856574 147623307612 184529134515 212488094290 233736903719 246038846020 254985713148 318732141435 369058269030 424976188580 467473807438 637464282870 701210711157 738116538060 934947614876 1168684518595 1274928565740 1402421422314 2337369037190 2804842844628 3506053555785 4674738074380 7012107111570 14024214223140