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2144931960 = 233517874433
BaseRepresentation
bin111111111011001…
…0001000001111000
312112111001211111110
41333312101001320
513343100310320
6552501200320
7104103422643
oct17766210170
95474054443
102144931960
11a00838146
124ba4000a0
132824c0512
14164c24a5a
15c84905e0
hex7fd91078

2144931960 has 32 divisors (see below), whose sum is σ = 6434796240. Its totient is φ = 571981824.

The previous prime is 2144931949. The next prime is 2144932043. The reversal of 2144931960 is 691394412.

It is a super-2 number, since 2×21449319602 = 9201466226058883200, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8937097 + ... + 8937336.

Almost surely, 22144931960 is an apocalyptic number.

2144931960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144931960 is an abundant number, since it is smaller than the sum of its proper divisors (4289864280).

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

2144931960 is a wasteful number, since it uses less digits than its factorization.

2144931960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17874447 (or 17874443 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2144931960 is about 46313.4101530000. The cubic root of 2144931960 is about 1289.6479539310.

The spelling of 2144931960 in words is "two billion, one hundred forty-four million, nine hundred thirty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17874433 35748866 53623299 71497732 89372165 107246598 142995464 178744330 214493196 268116495 357488660 428986392 536232990 714977320 1072465980 2144931960