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14271010960 = 2451919747659
BaseRepresentation
bin11010100101001111…
…00101100010010000
31100211120102110201111
431102213211202100
5213211334322320
610320033143104
71013435406643
oct152247454220
940746373644
1014271010960
116063682838
1229233baa94
1314657c9bab
149954a1a5a
15587d17a5a
hex3529e5890

14271010960 has 80 divisors (see below), whose sum is σ = 35104449600. Its totient is φ = 5380397568.

The previous prime is 14271010913. The next prime is 14271010967. The reversal of 14271010960 is 6901017241.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (14271010967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275611 + ... + 323269.

It is an arithmetic number, because the mean of its divisors is an integer number (438805620).

Almost surely, 214271010960 is an apocalyptic number.

14271010960 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 14271010960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552224800).

14271010960 is an abundant number, since it is smaller than the sum of its proper divisors (20833438640).

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

14271010960 is a wasteful number, since it uses less digits than its factorization.

14271010960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47888 (or 47882 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 14271010960 in words is "fourteen billion, two hundred seventy-one million, ten thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 197 304 380 394 760 788 985 1520 1576 1970 3152 3743 3940 7486 7880 14972 15760 18715 29944 37430 47659 59888 74860 95318 149720 190636 238295 299440 381272 476590 762544 905521 953180 1811042 1906360 3622084 3812720 4527605 7244168 9055210 9388823 14488336 18110420 18777646 36220840 37555292 46944115 72441680 75110584 93888230 150221168 178387637 187776460 356775274 375552920 713550548 751105840 891938185 1427101096 1783876370 2854202192 3567752740 7135505480 14271010960