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1441077696 = 263323101359
BaseRepresentation
bin101010111100101…
…0001100111000000
310201102122022222000
41111321101213000
510422403441241
6354555144000
750465646462
oct12571214700
93642568860
101441077696
1167a4a6003
12342745000
1319c7319c6
14d9566132
15867aaeb6
hex55e519c0

1441077696 has 224 divisors, whose sum is σ = 4476902400. Its totient is φ = 453657600.

The previous prime is 1441077689. The next prime is 1441077707. The reversal of 1441077696 is 6967701441.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4013965 + ... + 4014323.

Almost surely, 21441077696 is an apocalyptic number.

1441077696 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 1441077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238451200).

1441077696 is an abundant number, since it is smaller than the sum of its proper divisors (3035824704).

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

1441077696 is a wasteful number, since it uses less digits than its factorization.

1441077696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1441077696 is about 37961.5291578198. The cubic root of 1441077696 is about 1129.5248729552.

The spelling of 1441077696 in words is "one billion, four hundred forty-one million, seventy-seven thousand, six hundred ninety-six".