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14191976080 = 2453120032857
BaseRepresentation
bin11010011011110100…
…00101111010010000
31100122001201002020201
431031322011322100
5213031121213310
610304131144544
71011455543362
oct151572057220
940561632221
1014191976080
116023000757
122900a45154
131452316ba9
14988baad32
15580e04e3a
hex34de85e90

14191976080 has 80 divisors (see below), whose sum is σ = 34089675264. Its totient is φ = 5489003520.

The previous prime is 14191976069. The next prime is 14191976083. The reversal of 14191976080 is 8067919141.

14191976080 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 (80).

It is a self number, because there is not a number n which added to its sum of digits gives 14191976080.

It is not an unprimeable number, because it can be changed into a prime (14191976083) 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 15 ways as a sum of consecutive naturals, for example, 4966012 + ... + 4968868.

Almost surely, 214191976080 is an apocalyptic number.

14191976080 is a gapful number since it is divisible by the number (10) 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 14191976080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17044837632).

14191976080 is an abundant number, since it is smaller than the sum of its proper divisors (19897699184).

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

14191976080 is a wasteful number, since it uses less digits than its factorization.

14191976080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 46.

The spelling of 14191976080 in words is "fourteen billion, one hundred ninety-one million, nine hundred seventy-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2003 2480 2857 4006 5714 8012 10015 11428 14285 16024 20030 22856 28570 32048 40060 45712 57140 62093 80120 88567 114280 124186 160240 177134 228560 248372 310465 354268 442835 496744 620930 708536 885670 993488 1241860 1417072 1771340 2483720 3542680 4967440 5722571 7085360 11445142 22890284 28612855 45780568 57225710 91561136 114451420 177399701 228902840 354799402 457805680 709598804 886998505 1419197608 1773997010 2838395216 3547994020 7095988040 14191976080