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14239672080 = 2435313189559
BaseRepresentation
bin11010100001100000…
…00010011100010000
31100202101110021212020
431100300002130100
5213130324001310
610312553331440
71012605133644
oct152060023420
940671407766
1014239672080
116047a18437
122914a06b80
13145c17668a
14991264c24
155851c7170
hex350c02710

14239672080 has 80 divisors (see below), whose sum is σ = 44284248960. Its totient is φ = 3785094144.

The previous prime is 14239672019. The next prime is 14239672123. The reversal of 14239672080 is 8027693241.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19660 + ... + 169899.

It is an arithmetic number, because the mean of its divisors is an integer number (553553112).

Almost surely, 214239672080 is an apocalyptic number.

14239672080 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 14239672080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22142124480).

14239672080 is an abundant number, since it is smaller than the sum of its proper divisors (30044576880).

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

14239672080 is a wasteful number, since it uses less digits than its factorization.

14239672080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189888 (or 189882 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 14239672080 in words is "fourteen billion, two hundred thirty-nine million, six hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313 626 939 1252 1565 1878 2504 3130 3756 4695 5008 6260 7512 9390 12520 15024 18780 25040 37560 75120 189559 379118 568677 758236 947795 1137354 1516472 1895590 2274708 2843385 3032944 3791180 4549416 5686770 7582360 9098832 11373540 15164720 22747080 45494160 59331967 118663934 177995901 237327868 296659835 355991802 474655736 593319670 711983604 889979505 949311472 1186639340 1423967208 1779959010 2373278680 2847934416 3559918020 4746557360 7119836040 14239672080