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14455141908480 = 21434571337647
BaseRepresentation
bin1101001001011001100110…
…0110010100000000000000
31220011220020200201111210000
43102112121212110000000
53343313112312032410
650424333413440000
73021230614631130
oct322263146240000
956156220644700
1014455141908480
114673433842a79
121755605940000
1380b1636b87b0
1437d8bdc02ac0
151a10287c4dc0
hexd2599994000

14455141908480 has 2400 divisors, whose sum is σ = 65606961885696. Its totient is φ = 2962860539904.

The previous prime is 14455141908461. The next prime is 14455141908503. The reversal of 14455141908480 is 8480914155441.

It is a happy number.

14455141908480 is a `hidden beast` number, since 1 + 4 + 4 + 551 + 4 + 1 + 9 + 0 + 8 + 4 + 80 = 666.

It is a super-2 number, since 2×144551419084802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22341795517 + ... + 22341796163.

Almost surely, 214455141908480 is an apocalyptic number.

14455141908480 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 14455141908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32803480942848).

14455141908480 is an abundant number, since it is smaller than the sum of its proper divisors (51151819977216).

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

14455141908480 is an equidigital number, since it uses as much as digits as its factorization.

14455141908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 14455141908480 in words is "fourteen trillion, four hundred fifty-five billion, one hundred forty-one million, nine hundred eight thousand, four hundred eighty".