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1444938075 = 335271032969
BaseRepresentation
bin101011000100000…
…0000000101011011
310201200220110102000
41112020000011123
510424401004300
6355214012043
750543525310
oct12610000533
93650813360
101444938075
116816a23a9
12343aa7023
131a0483b59
14d9c8cd07
1586cbec00
hex5620015b

1444938075 has 96 divisors (see below), whose sum is σ = 3064089600. Its totient is φ = 653909760.

The previous prime is 1444938059. The next prime is 1444938101. The reversal of 1444938075 is 5708394441.

1444938075 is a `hidden beast` number, since 14 + 4 + 493 + 80 + 75 = 666.

1444938075 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1444938075 - 24 = 1444938059 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1444938075.

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 95 ways as a sum of consecutive naturals, for example, 485191 + ... + 488159.

It is an arithmetic number, because the mean of its divisors is an integer number (31917600).

Almost surely, 21444938075 is an apocalyptic number.

1444938075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1444938075 is an abundant number, since it is smaller than the sum of its proper divisors (1619151525).

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

1444938075 is a wasteful number, since it uses less digits than its factorization.

1444938075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1444938075 is about 38012.3410881256. The cubic root of 1444938075 is about 1130.5325693327.

The spelling of 1444938075 in words is "one billion, four hundred forty-four million, nine hundred thirty-eight thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 103 105 135 175 189 225 309 315 515 525 675 721 927 945 1545 1575 2163 2575 2781 2969 3605 4635 4725 6489 7725 8907 10815 13905 14845 18025 19467 20783 23175 26721 32445 44535 54075 62349 69525 74225 80163 97335 103915 133605 162225 187047 222675 305807 311745 400815 486675 519575 561141 668025 917421 935235 1529035 1558725 2004075 2140649 2752263 2805705 4587105 4676175 6421947 7645175 8256789 10703245 13761315 14028525 19265841 22935525 32109735 41283945 53516225 57797523 68806575 96329205 160548675 206419725 288987615 481646025 1444938075