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14039803008 = 273372117537
BaseRepresentation
bin11010001001101011…
…00110010010000000
31100020110100220001000
431010311212102000
5212223142144013
610241053412000
71004630233200
oct150465462200
940213326030
1014039803008
115a55114890
122879a9a000
131429936b5a
149728b8400
15572896973
hex344d66480

14039803008 has 384 divisors, whose sum is σ = 52591118400. Its totient is φ = 3646218240.

The previous prime is 14039802911. The next prime is 14039803009. The reversal of 14039803008 is 80030893041.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14039803009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1859016 + ... + 1866552.

Almost surely, 214039803008 is an apocalyptic number.

14039803008 is a gapful number since it is divisible by the number (18) 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 14039803008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26295559200).

14039803008 is an abundant number, since it is smaller than the sum of its proper divisors (38551315392).

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

14039803008 is a wasteful number, since it uses less digits than its factorization.

14039803008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7585 (or 7560 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14039803008 in words is "fourteen billion, thirty-nine million, eight hundred three thousand, eight".