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1441295856 = 2434711213101
BaseRepresentation
bin101010111101000…
…0110110111110000
310201110001102020000
41111322012313300
510422432431411
6355003550000
750500545510
oct12572066760
93643042200
101441295856
1167a634a00
1234282b300
1319c7aa0b0
14d95c1840
1586800956
hex55e86df0

1441295856 has 600 divisors, whose sum is σ = 5699239392. Its totient is φ = 342144000.

The previous prime is 1441295783. The next prime is 1441295857. The reversal of 1441295856 is 6585921441.

1441295856 is a `hidden beast` number, since 1 + 4 + 41 + 29 + 585 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441295857) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 14270206 + ... + 14270306.

Almost surely, 21441295856 is an apocalyptic number.

1441295856 is a gapful number since it is divisible by the number (16) 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 1441295856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849619696).

1441295856 is an abundant number, since it is smaller than the sum of its proper divisors (4257943536).

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

1441295856 is a wasteful number, since it uses less digits than its factorization.

1441295856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1441295856 is about 37964.4024844327. The cubic root of 1441295856 is about 1129.5818684277.

The spelling of 1441295856 in words is "one billion, four hundred forty-one million, two hundred ninety-five thousand, eight hundred fifty-six".