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1444301585730 = 232516047795397
BaseRepresentation
bin10101000001000111000…
…101010011110101000010
312010001222212020112021100
4111001013011103311002
5142130412201220410
63023300351235230
7206230065630063
oct25010705236502
95101885215240
101444301585730
11507585657363
121b3ab9818b16
13a6273c12623
144dc941d456a
15278825e08c0
hex15047153d42

1444301585730 has 24 divisors (see below), whose sum is σ = 3755184123132. Its totient is φ = 385147089504.

The previous prime is 1444301585659. The next prime is 1444301585743. The reversal of 1444301585730 is 375851034441.

1444301585730 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 30 + 1 + 585 + 7 + 30 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1399415654961 + 44885930769 = 1182969^2 + 211863^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8023897609 + ... + 8023897788.

Almost surely, 21444301585730 is an apocalyptic number.

1444301585730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1444301585730 is an abundant number, since it is smaller than the sum of its proper divisors (2310882537402).

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

1444301585730 is a wasteful number, since it uses less digits than its factorization.

1444301585730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16047795410 (or 16047795407 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

It can be divided in two parts, 14443015 and 85730, that added together give a triangular number (14528745 = T5390).

The spelling of 1444301585730 in words is "one trillion, four hundred forty-four billion, three hundred one million, five hundred eighty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 16047795397 32095590794 48143386191 80238976985 96286772382 144430158573 160477953970 240716930955 288860317146 481433861910 722150792865 1444301585730