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1444563616 = 251913917093
BaseRepresentation
bin101011000011010…
…0100101010100000
310201200012102202011
41112012210222200
510424302013431
6355202002304
750540405506
oct12606445240
93650172664
101444563616
11681467031
12343946394
131a0382592
14d9bd2676
1586c48cb1
hex561a4aa0

1444563616 has 48 divisors (see below), whose sum is σ = 3015381600. Its totient is φ = 679304448.

The previous prime is 1444563563. The next prime is 1444563647. The reversal of 1444563616 is 6163654441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75966 + ... + 93058.

It is an arithmetic number, because the mean of its divisors is an integer number (62820450).

Almost surely, 21444563616 is an apocalyptic number.

1444563616 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 1444563616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507690800).

1444563616 is an abundant number, since it is smaller than the sum of its proper divisors (1570817984).

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

1444563616 is a wasteful number, since it uses less digits than its factorization.

1444563616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17261 (or 17253 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 1444563616 is about 38007.4152764957. The cubic root of 1444563616 is about 1130.4349008634.

The spelling of 1444563616 in words is "one billion, four hundred forty-four million, five hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 139 152 278 304 556 608 1112 2224 2641 4448 5282 10564 17093 21128 34186 42256 68372 84512 136744 273488 324767 546976 649534 1299068 2375927 2598136 4751854 5196272 9503708 10392544 19007416 38014832 45142613 76029664 90285226 180570452 361140904 722281808 1444563616