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1244435531904 = 273217412103367
BaseRepresentation
bin10010000110111110001…
…000110100100010000000
311101222002212000000101100
4102012332020310202000
5130342100444010104
62351404044134400
7155623162330515
oct22067610644200
94358085000340
101244435531904
1143a842462984
1218121ab37400
1390471591156
1444333c1d30c
1522585cc9139
hex121be234880

1244435531904 has 576 divisors, whose sum is σ = 3934798283520. Its totient is φ = 376163205120.

The previous prime is 1244435531851. The next prime is 1244435531959. The reversal of 1244435531904 is 4091355344421.

It is a happy number.

1244435531904 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 4 + 3 + 553 + 1 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 1244435531904.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3390832329 + ... + 3390832695.

It is an arithmetic number, because the mean of its divisors is an integer number (6831247020).

Almost surely, 21244435531904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244435531904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967399141760).

1244435531904 is an abundant number, since it is smaller than the sum of its proper divisors (2690362751616).

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

1244435531904 is a wasteful number, since it uses less digits than its factorization.

1244435531904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1244435531904 in words is "one trillion, two hundred forty-four billion, four hundred thirty-five million, five hundred thirty-one thousand, nine hundred four".