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2065440144 = 243192264737
BaseRepresentation
bin111101100011100…
…0001110110010000
312022221111020020010
41323013001312100
513212223041034
6540541314520
7102116644245
oct17307016620
95287436203
102065440144
1196a983829
12497865a40
1326bbaa541
141584515cc
15c14dc3e9
hex7b1c1d90

2065440144 has 40 divisors (see below), whose sum is σ = 5616550240. Its totient is φ = 652243968.

The previous prime is 2065440137. The next prime is 2065440161. The reversal of 2065440144 is 4410445602.

It is a happy number.

It is a super-3 number, since 3×20654401443 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1131457 + ... + 1133280.

It is an arithmetic number, because the mean of its divisors is an integer number (140413756).

Almost surely, 22065440144 is an apocalyptic number.

2065440144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2065440144 is an abundant number, since it is smaller than the sum of its proper divisors (3551110096).

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

2065440144 is a wasteful number, since it uses less digits than its factorization.

2065440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264767 (or 2264761 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2065440144 is about 45447.1137037326. The cubic root of 2065440144 is about 1273.5154103699.

Adding to 2065440144 its reverse (4410445602), we get a palindrome (6475885746).

The spelling of 2065440144 in words is "two billion, sixty-five million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2264737 4529474 6794211 9058948 13588422 18117896 27176844 36235792 43030003 54353688 86060006 108707376 129090009 172120012 258180018 344240024 516360036 688480048 1032720072 2065440144