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2144441628 = 22347945521
BaseRepresentation
bin111111111010001…
…1001010100011100
312112110010220220000
41333310121110130
513342434113003
6552442454300
7104066311260
oct17764312434
95473126800
102144441628
11a0053280a
124ba204390
1328237b294
14164b380a0
15c83e51a3
hex7fd1951c

2144441628 has 60 divisors (see below), whose sum is σ = 6406857072. Its totient is φ = 612696960.

The previous prime is 2144441623. The next prime is 2144441633. The reversal of 2144441628 is 8261444412.

2144441628 is a `hidden beast` number, since 21 + 4 + 4 + 4 + 4 + 1 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (2144441623) and next prime (2144441633).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2144441592 and 2144441601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144441623) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 470493 + ... + 475028.

Almost surely, 22144441628 is an apocalyptic number.

2144441628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2144441628 is an abundant number, since it is smaller than the sum of its proper divisors (4262415444).

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

2144441628 is a wasteful number, since it uses less digits than its factorization.

2144441628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945544 (or 945533 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2144441628 is about 46308.1162216733. The cubic root of 2144441628 is about 1289.5496751566.

The spelling of 2144441628 in words is "two billion, one hundred forty-four million, four hundred forty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 945521 1891042 2836563 3782084 5673126 6618647 8509689 11346252 13237294 17019378 19855941 25529067 26474588 34038756 39711882 51058134 59567823 76587201 79423764 102116268 119135646 153174402 178703469 238271292 306348804 357406938 536110407 714813876 1072220814 2144441628