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14502421440 = 2634513193223
BaseRepresentation
bin11011000000110100…
…10110001111000000
31101102200212100020000
431200122112033000
5214200104441230
610355021120000
71022245356033
oct154032261700
941380770200
1014502421440
116172269971
1229889b9000
1314a1731180
149b80dd01a
1559d2c8b60
hex3606963c0

14502421440 has 560 divisors, whose sum is σ = 56094221568. Its totient is φ = 3535405056.

The previous prime is 14502421399. The next prime is 14502421463. The reversal of 14502421440 is 4412420541.

14502421440 is a `hidden beast` number, since 14 + 502 + 4 + 2 + 144 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 65033169 + ... + 65033391.

Almost surely, 214502421440 is an apocalyptic number.

14502421440 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 14502421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28047110784).

14502421440 is an abundant number, since it is smaller than the sum of its proper divisors (41591800128).

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

14502421440 is a wasteful number, since it uses less digits than its factorization.

14502421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14502421440 its reverse (4412420541), we get a palindrome (18914841981).

It can be divided in two parts, 145024 and 21440, that added together give a square (166464 = 4082).

The spelling of 14502421440 in words is "fourteen billion, five hundred two million, four hundred twenty-one thousand, four hundred forty".