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1444663296 = 2123313063
BaseRepresentation
bin101011000011011…
…1101000000000000
310201200101111111000
41112012331000000
510424313211141
6355204052000
750541302226
oct12606750000
93650344430
101444663296
11681524a0a
12343994000
131a03b8a6b
14d9c1ab16
1586c685b6
hex561bd000

1444663296 has 104 divisors (see below), whose sum is σ = 4280288960. Its totient is φ = 481517568.

The previous prime is 1444663273. The next prime is 1444663343. The reversal of 1444663296 is 6923664441.

1444663296 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 6 + 632 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104061 + ... + 117123.

Almost surely, 21444663296 is an apocalyptic number.

1444663296 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 1444663296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140144480).

1444663296 is an abundant number, since it is smaller than the sum of its proper divisors (2835625664).

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

1444663296 is an equidigital number, since it uses as much as digits as its factorization.

1444663296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13096 (or 13068 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 1444663296 is about 38008.7265769323. The cubic root of 1444663296 is about 1130.4609016011.

The spelling of 1444663296 in words is "one billion, four hundred forty-four million, six hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 9216 12288 13063 13824 18432 26126 27648 36864 39189 52252 55296 78378 104504 110592 117567 156756 209008 235134 313512 352701 418016 470268 627024 705402 836032 940536 1254048 1410804 1672064 1881072 2508096 2821608 3344128 3762144 5016192 5643216 6688256 7524288 10032384 11286432 13376512 15048576 20064768 22572864 26753024 30097152 40129536 45145728 53506048 60194304 80259072 90291456 120388608 160518144 180582912 240777216 361165824 481554432 722331648 1444663296