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14001520020 = 22352337443619
BaseRepresentation
bin11010000101000111…
…00011110110010100
31100010210022220122120
431002203203312110
5212133342120040
610233205055540
71003653646035
oct150243436624
940123286576
1014001520020
115a35547254
1228690b75b0
131421a219b7
1496b790a8c
1556e3337d0
hex3428e3d94

14001520020 has 192 divisors, whose sum is σ = 42177300480. Its totient is φ = 3461432832.

The previous prime is 14001520009. The next prime is 14001520021. The reversal of 14001520020 is 2002510041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001520021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22619271 + ... + 22619889.

It is an arithmetic number, because the mean of its divisors is an integer number (219673440).

Almost surely, 214001520020 is an apocalyptic number.

14001520020 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 14001520020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21088650240).

14001520020 is an abundant number, since it is smaller than the sum of its proper divisors (28175780460).

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

14001520020 is a wasteful number, since it uses less digits than its factorization.

14001520020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The spelling of 14001520020 in words is "fourteen billion, one million, five hundred twenty thousand, twenty".