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14225055414240 = 253511213910871621
BaseRepresentation
bin1100111100000000011101…
…0111111111011111100000
31212100220100120101120010010
43033000013113333133200
53331030403141223430
650130522241404520
72665504063663356
oct317000727773740
955326316346103
1014225055414240
1145948a2a31400
121718ab2339740
137c255610c208
143726d3ddd7d6
1519a05dd3dcb0
hexcf0075ff7e0

14225055414240 has 576 divisors, whose sum is σ = 49683389091840. Its totient is φ = 3418429132800.

The previous prime is 14225055414223. The next prime is 14225055414259. The reversal of 14225055414240 is 4241455052241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8775480630 + ... + 8775482250.

It is an arithmetic number, because the mean of its divisors is an integer number (86255883840).

Almost surely, 214225055414240 is an apocalyptic number.

14225055414240 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 14225055414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24841694545920).

14225055414240 is an abundant number, since it is smaller than the sum of its proper divisors (35458333677600).

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

14225055414240 is a wasteful number, since it uses less digits than its factorization.

14225055414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 39.

The spelling of 14225055414240 in words is "fourteen trillion, two hundred twenty-five billion, fifty-five million, four hundred fourteen thousand, two hundred forty".