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1444717056 = 2933130341
BaseRepresentation
bin101011000011100…
…1010001000000000
310201200111020020010
41112013022020000
510424321421211
6355205144520
750541615036
oct12607121000
93650436203
101444717056
11681561342
123439bb140
131a0407383
14d9c32556
1586c794a6
hex561ca200

1444717056 has 80 divisors (see below), whose sum is σ = 3973102848. Its totient is φ = 466022400.

The previous prime is 1444717049. The next prime is 1444717061. The reversal of 1444717056 is 6507174441.

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, 32446 + ... + 62786.

Almost surely, 21444717056 is an apocalyptic number.

1444717056 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 1444717056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986551424).

1444717056 is an abundant number, since it is smaller than the sum of its proper divisors (2528385792).

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

1444717056 is an equidigital number, since it uses as much as digits as its factorization.

1444717056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30393 (or 30377 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 1444717056 is about 38009.4337763666. The cubic root of 1444717056 is about 1130.4749239745.

The spelling of 1444717056 in words is "one billion, four hundred forty-four million, seven hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2976 3968 5952 7936 11904 15872 23808 30341 47616 60682 91023 121364 182046 242728 364092 485456 728184 940571 970912 1456368 1881142 1941824 2821713 2912736 3762284 3883648 5643426 5825472 7524568 7767296 11286852 11650944 15049136 15534592 22573704 23301888 30098272 45147408 46603776 60196544 90294816 120393088 180589632 240786176 361179264 481572352 722358528 1444717056