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1444300935 = 357111916547
BaseRepresentation
bin101011000010110…
…0100100010000111
310201122201002102020
41112011210202013
510424220112220
6355152214223
750535232620
oct12605444207
93648632366
101444300935
116812a7740
1234383a373
131a02bcb4c
14d9b64a47
1586be6040
hex56164887

1444300935 has 64 divisors (see below), whose sum is σ = 2896625664. Its totient is φ = 596995200.

The previous prime is 1444300927. The next prime is 1444300987. The reversal of 1444300935 is 5390034441.

It is not a de Polignac number, because 1444300935 - 23 = 1444300927 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1444300896 and 1444300905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217332 + ... + 223878.

It is an arithmetic number, because the mean of its divisors is an integer number (45259776).

Almost surely, 21444300935 is an apocalyptic number.

1444300935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1444300935 is an abundant number, since it is smaller than the sum of its proper divisors (1452324729).

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

1444300935 is a wasteful number, since it uses less digits than its factorization.

1444300935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1444300935 is about 38003.9594647716. The cubic root of 1444300935 is about 1130.3663768774.

The spelling of 1444300935 in words is "one billion, four hundred forty-four million, three hundred thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 191 231 385 573 955 1155 1337 2101 2865 4011 6303 6547 6685 10505 14707 19641 20055 31515 32735 44121 45829 72017 73535 98205 137487 216051 220605 229145 360085 504119 687435 1080255 1250477 1512357 2520595 3751431 6252385 7561785 8753339 13755247 18757155 26260017 41265741 43766695 68776235 96286729 131300085 206328705 288860187 481433645 1444300935