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14370405312 = 263239331277
BaseRepresentation
bin11010110001000101…
…01111101111000000
31101002111110020010210
431120202233233000
5213412310432222
610333543354120
71016053300254
oct153042575700
941074406123
1014370405312
1161047a022a
122950752940
13148028ab13
149a4776264
155918ecd0c
hex3588afbc0

14370405312 has 56 divisors (see below), whose sum is σ = 38038802256. Its totient is φ = 4787980288.

The previous prime is 14370405311. The next prime is 14370405383. The reversal of 14370405312 is 21350407341.

It is a happy number.

14370405312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14370405312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14370405311) 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 7 ways as a sum of consecutive naturals, for example, 443818 + ... + 475094.

It is an arithmetic number, because the mean of its divisors is an integer number (679264326).

Almost surely, 214370405312 is an apocalyptic number.

14370405312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14370405312 is an abundant number, since it is smaller than the sum of its proper divisors (23668396944).

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

14370405312 is a wasteful number, since it uses less digits than its factorization.

14370405312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33685 (or 33675 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 14370405312 in words is "fourteen billion, three hundred seventy million, four hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2393 4786 7179 9572 14358 19144 28716 31277 38288 57432 62554 76576 93831 114864 125108 153152 187662 229728 250216 375324 459456 500432 750648 1000864 1501296 2001728 3002592 6005184 74845861 149691722 224537583 299383444 449075166 598766888 898150332 1197533776 1796300664 2395067552 3592601328 4790135104 7185202656 14370405312