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14022342312 = 23311438913879
BaseRepresentation
bin11010000111100101…
…11111011010101000
31100012020111210110120
431003302333122220
5212204204423222
610235231243240
71004325641316
oct150362773250
940166453416
1014022342312
115a46279360
122874079520
131426132494
149704510b6
1557109815c
hex343cbf6a8

14022342312 has 128 divisors (see below), whose sum is σ = 39574656000. Its totient is φ = 4103447040.

The previous prime is 14022342307. The next prime is 14022342319. The reversal of 14022342312 is 21324322041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14022342319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003389 + ... + 1017267.

It is an arithmetic number, because the mean of its divisors is an integer number (309177000).

Almost surely, 214022342312 is an apocalyptic number.

14022342312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14022342312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19787328000).

14022342312 is an abundant number, since it is smaller than the sum of its proper divisors (25552313688).

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

14022342312 is a wasteful number, since it uses less digits than its factorization.

14022342312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14031 (or 14027 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14022342312 its reverse (21324322041), we get a palindrome (35346664353).

The spelling of 14022342312 in words is "fourteen billion, twenty-two million, three hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 89 129 132 172 178 258 264 267 344 356 473 516 534 712 946 979 1032 1068 1419 1892 1958 2136 2838 2937 3784 3827 3916 5676 5874 7654 7832 11352 11481 11748 13879 15308 22962 23496 27758 30616 41637 42097 45924 55516 83274 84194 91848 111032 126291 152669 166548 168388 252582 305338 333096 336776 458007 505164 596797 610676 916014 1010328 1193594 1221352 1235231 1790391 1832028 2387188 2470462 3580782 3664056 3705693 4774376 4940924 6564767 7161564 7411386 9881848 13129534 13587541 14323128 14822772 19694301 26259068 27175082 29645544 39388602 40762623 52518136 53114933 54350164 78777204 81525246 106229866 108700328 157554408 159344799 163050492 212459732 318689598 326100984 424919464 584264263 637379196 1168528526 1274758392 1752792789 2337057052 3505585578 4674114104 7011171156 14022342312