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14455745740800 = 2163652721319
BaseRepresentation
bin1101001001011011110110…
…0101110000000000000000
31220011221210202221101000000
43102112331211300000000
53343320331402201200
650424513344000000
73021251566261200
oct322267545600000
956157722841000
1014455745740800
114673713679151
121755754000000
1380b22b826820
1437d93a0a6400
151a10617ed300
hexd25bd970000

14455745740800 has 4284 divisors, whose sum is σ = 70879615940280. Its totient is φ = 2889476997120.

The previous prime is 14455745740789. The next prime is 14455745740811. The reversal of 14455745740800 is 804754755441.

It is a happy number.

14455745740800 is a `hidden beast` number, since 1 + 4 + 4 + 557 + 4 + 5 + 7 + 4 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14455745740789) and next prime (14455745740811).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 760828723191 + ... + 760828723209.

Almost surely, 214455745740800 is an apocalyptic number.

14455745740800 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 14455745740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35439807970140).

14455745740800 is an abundant number, since it is smaller than the sum of its proper divisors (56423870199480).

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

14455745740800 is an frugal number, since it uses more digits than its factorization.

14455745740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 12544000, while the sum is 54.

The spelling of 14455745740800 in words is "fourteen trillion, four hundred fifty-five billion, seven hundred forty-five million, seven hundred forty thousand, eight hundred".