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14225236146 = 2331153895077
BaseRepresentation
bin11010011111110001…
…11110000010110010
31100201101021212111000
431033320332002302
5213113130024041
610311320102430
71012341340452
oct151770760262
940641255430
1014225236146
11603a858510
122910004a16
1314591909c4
1498d387d62
15583cc4bb6
hex34fe3e0b2

14225236146 has 128 divisors (see below), whose sum is σ = 35537875200. Its totient is φ = 4180999680.

The previous prime is 14225236087. The next prime is 14225236171. The reversal of 14225236146 is 64163252241.

14225236146 is a `hidden beast` number, since 1 + 4 + 2 + 252 + 361 + 46 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14225236146.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2799360 + ... + 2804436.

It is an arithmetic number, because the mean of its divisors is an integer number (277639650).

Almost surely, 214225236146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14225236146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17768937600).

14225236146 is an abundant number, since it is smaller than the sum of its proper divisors (21312639054).

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

14225236146 is a wasteful number, since it uses less digits than its factorization.

14225236146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241 (or 5235 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 14225236146 its reverse (64163252241), we get a palindrome (78388488387).

The spelling of 14225236146 in words is "fourteen billion, two hundred twenty-five million, two hundred thirty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 89 99 106 159 178 198 267 297 318 477 534 583 594 801 954 979 1166 1431 1602 1749 1958 2403 2862 2937 3498 4717 4806 5077 5247 5874 8811 9434 10154 10494 14151 15231 15741 17622 26433 28302 30462 31482 42453 45693 51887 52866 55847 84906 91386 103774 111694 127359 137079 155661 167541 254718 269081 274158 311322 335082 451853 466983 502623 538162 807243 903706 933966 1005246 1355559 1400949 1507869 1614486 2421729 2711118 2801898 2959891 3015738 4066677 4843458 4970383 5919782 7265187 8133354 8879673 9940766 12200031 14530374 14911149 17759346 23948209 24400062 26639019 29822298 44733447 47896418 53278038 71844627 79917057 89466894 134200341 143689254 159834114 215533881 263430299 268400682 431067762 526860598 646601643 790290897 1293203286 1580581794 2370872691 4741745382 7112618073 14225236146