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1014445056 = 21032959193
BaseRepresentation
bin111100011101110…
…011010000000000
32121200212011000010
4330131303100000
54034144220211
6244355024520
734065432522
oct7435632000
92550764003
101014445056
1148069a649
1224389b140
13132227061
1498a2ba12
155e0d64a6
hex3c773400

1014445056 has 176 divisors, whose sum is σ = 2859249600. Its totient is φ = 319291392.

The previous prime is 1014445037. The next prime is 1014445073. The reversal of 1014445056 is 6505444101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5256096 + ... + 5256288.

Almost surely, 21014445056 is an apocalyptic number.

1014445056 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 1014445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429624800).

1014445056 is an abundant number, since it is smaller than the sum of its proper divisors (1844804544).

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

1014445056 is a wasteful number, since it uses less digits than its factorization.

1014445056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1014445056 is about 31850.3540953629. The cubic root of 1014445056 is about 1004.7920185445.

Adding to 1014445056 its reverse (6505444101), we get a palindrome (7519889157).

The spelling of 1014445056 in words is "one billion, fourteen million, four hundred forty-five thousand, fifty-six".