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1440921212640 = 2533573131931127
BaseRepresentation
bin10100111101111101100…
…110001101011011100000
312002202021021110210011000
4110331331212031123200
5142102001312301030
63021541114152000
7206050241136000
oct24757546153340
95082237423130
101440921212640
11506100506a98
121b3315722600
13a5b5579c170
144da53296000
1527735963860
hex14f7d98d6e0

1440921212640 has 3072 divisors, whose sum is σ = 6936330240000. Its totient is φ = 276531978240.

The previous prime is 1440921212639. The next prime is 1440921212651. The reversal of 1440921212640 is 462121290441.

1440921212640 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 9 + 2 + 1 + 2 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1440921212595 and 1440921212604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 11345836257 + ... + 11345836383.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920000).

Almost surely, 21440921212640 is an apocalyptic number.

1440921212640 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 1440921212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468165120000).

1440921212640 is an abundant number, since it is smaller than the sum of its proper divisors (5495409027360).

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

1440921212640 is a wasteful number, since it uses less digits than its factorization.

1440921212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

It can be divided in two parts, 1440921 and 212640, that added together give a palindrome (1653561).

The spelling of 1440921212640 in words is "one trillion, four hundred forty billion, nine hundred twenty-one million, two hundred twelve thousand, six hundred forty".