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14122251252 = 22322331550189
BaseRepresentation
bin11010010011100000…
…00111001111110100
31100110012111200202200
431021300013033310
5212410244020002
610253200504500
71006651104114
oct151160071764
940405450680
1014122251252
115a9770842a
1228a161b130
131440a436b5
1497d81b044
15579c30b1c
hex349c073f4

14122251252 has 72 divisors (see below), whose sum is σ = 38451678720. Its totient is φ = 4357488960.

The previous prime is 14122251251. The next prime is 14122251259. The reversal of 14122251252 is 25215222141.

14122251252 is a `hidden beast` number, since 1 + 412 + 225 + 1 + 25 + 2 = 666.

14122251252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14122251251) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 249427 + ... + 300762.

Almost surely, 214122251252 is an apocalyptic number.

14122251252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14122251252 is an abundant number, since it is smaller than the sum of its proper divisors (24329427468).

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

14122251252 is a wasteful number, since it uses less digits than its factorization.

14122251252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550253 (or 550248 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

Adding to 14122251252 its reverse (25215222141), we get a palindrome (39337473393).

The spelling of 14122251252 in words is "fourteen billion, one hundred twenty-two million, two hundred fifty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 2139 2852 4278 6417 8556 12834 25668 550189 1100378 1650567 2200756 3301134 4951701 6602268 9903402 12654347 17055859 19806804 25308694 34111718 37963041 50617388 51167577 68223436 75926082 102335154 113889123 151852164 153502731 204670308 227778246 307005462 392284757 455556492 614010924 784569514 1176854271 1569139028 2353708542 3530562813 4707417084 7061125626 14122251252