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1444004656 = 242926311833
BaseRepresentation
bin101011000010001…
…1100001100110000
310201122011000222221
41112010130030300
510424131122111
6355142010424
750532560053
oct12604341460
93648130887
101444004656
11681115086
12343716a14
131a0218033
14d9ac8a9a
1586b88371
hex5611c330

1444004656 has 40 divisors (see below), whose sum is σ = 2905483680. Its totient is φ = 694396416.

The previous prime is 1444004651. The next prime is 1444004657. The reversal of 1444004656 is 6564004441.

It is not an unprimeable number, because it can be changed into a prime (1444004651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116116 + ... + 127948.

It is an arithmetic number, because the mean of its divisors is an integer number (72637092).

Almost surely, 21444004656 is an apocalyptic number.

1444004656 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 1444004656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452741840).

1444004656 is an abundant number, since it is smaller than the sum of its proper divisors (1461479024).

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

1444004656 is a wasteful number, since it uses less digits than its factorization.

1444004656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12133 (or 12127 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 1444004656 is about 38000.0612631085. The cubic root of 1444004656 is about 1130.2890784154.

The spelling of 1444004656 in words is "one billion, four hundred forty-four million, four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 116 232 263 464 526 1052 2104 4208 7627 11833 15254 23666 30508 47332 61016 94664 122032 189328 343157 686314 1372628 2745256 3112079 5490512 6224158 12448316 24896632 49793264 90250291 180500582 361001164 722002328 1444004656