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14980101120 = 21034541881
BaseRepresentation
bin11011111001110001…
…00011010000000000
31102122222200222120000
431330320203100000
5221134401213440
610514243320000
71040135521125
oct157470432000
942588628500
1014980101120
116397970766
122aa0980000
13154969c97a
14a2172474c
155ca1d3730
hex37ce23400

14980101120 has 440 divisors, whose sum is σ = 55051903368. Its totient is φ = 3892838400.

The previous prime is 14980101113. The next prime is 14980101131. The reversal of 14980101120 is 2110108941.

It can be written as a sum of positive squares in 4 ways, for example, as 279023616 + 14701077504 = 16704^2 + 121248^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17003080 + ... + 17003960.

Almost surely, 214980101120 is an apocalyptic number.

14980101120 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 14980101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27525951684).

14980101120 is an abundant number, since it is smaller than the sum of its proper divisors (40071802248).

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

14980101120 is an equidigital number, since it uses as much as digits as its factorization.

14980101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 14980101120 in words is "fourteen billion, nine hundred eighty million, one hundred one thousand, one hundred twenty".