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14202040032 = 253249312639
BaseRepresentation
bin11010011101000000…
…11110111011100000
31100122202122101101200
431032200132323200
5213041210240112
610305131001200
71011640230345
oct151640367340
940582571350
1014202040032
116028754974
122904299200
13145442b8ab
1498a26a7cc
15581c41cdc
hex34e81eee0

14202040032 has 36 divisors (see below), whose sum is σ = 40387052160. Its totient is φ = 4734013248.

The previous prime is 14202040001. The next prime is 14202040079. The reversal of 14202040032 is 23004020241.

14202040032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×142020400322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14202039987 and 14202040014.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 24656032 + ... + 24656607.

It is an arithmetic number, because the mean of its divisors is an integer number (1121862560).

Almost surely, 214202040032 is an apocalyptic number.

14202040032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14202040032 is an abundant number, since it is smaller than the sum of its proper divisors (26185012128).

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

14202040032 is a wasteful number, since it uses less digits than its factorization.

14202040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49312655 (or 49312644 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 14202040032 its reverse (23004020241), we get a palindrome (37206060273).

The spelling of 14202040032 in words is "fourteen billion, two hundred two million, forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 49312639 98625278 147937917 197250556 295875834 394501112 443813751 591751668 789002224 887627502 1183503336 1578004448 1775255004 2367006672 3550510008 4734013344 7101020016 14202040032